DEPARTMENT OF CHEMISTRY

Department Head : S.H. Ghaziaskar

Professors : A. Aminzadeh; S.E. Mallakpour; G.A. Parsafar

Associate Professors : M. Amirnasr; A.A. Ensafi; M. Ghiaci;

A. Hajipour; B. Najafi; H. Rahimi Mansour

Assistant Professors : A. Dabbagh; S.H. Ghaziaskar; T. Khayamian;

B. Rezaie; M. Tabrizchi

Instructors : S. Alavi; M.H. Amirkhizi; H. Chiniforushan;

Y. Ghaeb

The Department of Chemistry offers the degrees of Bachelor of Science (B.Sc.) in Pure and Applied Chemistry . At the graduate level, the department offers the Master of Science (M.Sc.) and Ph.D. in Analytical Chemistry, Inorganic Chemistry, Organic Chemistry and Physical Chemistry .

Research Activities

The activities within the department of chemistry are carried out in the following groups.

Pharmaceutical and Biologically Active Chemistry

This group is interested in the synthesis of all biologically active materials , e.g., central nervous systems (C.N.S.), cardiovascular pharmaceutical agents and other drugs. The group is also involved in preparing intermediate and starting materials for pharmaceutical companies.

Supercritical Fluid Science and Technology

Some faculty members have focused their research on developing technology and applications of supercritical fluid extraction for identifying and
quantifying components in herbal, environmental, polymer and food matrices .

Mass Spectrometry

A time-of-flight mass spectrometer is being designed and constructed for research purposes such as chemical analysis, study of ion-molecule reaction and gas phase spectroscopy. Work is also going on to develop the ion mobility spectrometry technique to be used in analytical chemistry.

Separation and Ultra Trace Analysis

Using electrochemical, flow injection analysis (FIA), HPLC, and spectroscopic techniques, this group is trying to

- develop new, simple and highly sensitive methods for determining trace
amounts of cations, anions and some organic compounds;

- apply FIA to the extraction of anions and their determination;

- apply electrochemical techniques using catalytic waves in the determination of types of substances which are not directly measurable by electrochemical techniques or have a high limit of determination;

- apply kinetic, catalytic, spectrophotometric techniques in the determination of cations and anions through simple spectrophotometric and fluorimetric techniques.

Chemical Sensors

Chemical sensors for the detection of dissolved oxygen in water and for the measurement of glucose in blood are now under consideration by the group. A quartz crystal microbalance sensor is also being developed for monitoring environmental pollutants. This is a disciplinary research group between our department and electrical engineering department.

Industrial Chemistry

The group is interested in the applications of organic and inorganic chemical reactions for the production of industrially useful compounds. The approach adopted in most cases involves emulating and upscaling known procedures, and/or developing innovative reactions to suit the resources available in Iran. The current work is on the sulfonation of certain aromatic compounds, the synthesis of perfumery additives and flavoring materials, certain agrochemicals and detergent ingredients .

Another area of research is phase diagram study of multi-component systems. The phase diagram can be used in the separation of valuable salts from a salt mixture.

Sample Introduction Techniques

Introduction of liquid is the limiting step in atomic and molecular flame spectroscopy, with chemical and electrical flames, specially when sample flow rates are small. The group is trying to couple liquid chromatography to the flames by using different sample introduction systems.

Raman Spectroscopy

Raman spectroscopy is a versatile technique in the study of molecular vibrations in relation to molecular structure. The research interests of the group include Raman spectroscopic study of catalyst systems and Raman spectroscopic study of biological molecules .

Thermodynamics of Equilibrium and Non-equilibrium Systems

The research activities by this group can be classified into two areas: equilibrium and non-equilibrium properties of dense systems .

It is well-known that the interactions among particles in dense systems are so complicated that the calculation of their macroscopic properties from a molecular point of view investigation is far from simple. The satisfactory theory of dense fluids only began to emerge in the 1960s. However, it is experimentally known that such systems follow many general regularities.

The work by the group has led to the development of general equations of state, through which not only many experimentally known regularities can be understood but also many new ones have been predicted whose validity has been verified through experiments. The group is interested in applying these general equations of state to define the nature of such systems (dense, super, and sub-critical fluids as well as compressed solids) and also to calculate their thermodynamic properties.

As for the non-equilibrium thermodynamic properties, the group is involved in the calculation and prediction of transport properties of the moderate and dense fluids via interaction potentials.

Polymer

The polymer research group has interests in synthesis and characterization of novel polymers via Diels-Alder and Ene reactions, new monomers and polymerization of them. Modification of polymers via Ene reaction with triazolinediones, and synthesis and trapping of bisbenzyne are also studied.

Physical Inorganic Chemistry

Photochemistry of coordination compounds , including some [Co III (L eq )XY] n+ complexes with rigid equatorial ligands; solid state kinetics , the study of deamination-anation of [Co III (Schiff-base) L2 ] complexes using thermogravimetric methods; and synthesis and characterization of transition metal complexes of Schiff-base ligands are the areas of interest.

Chemometrics

Chemometrics is the discipline concerned with the application of statistical and mathematical methods to chemistry. The group is working in data processing, signal and noise, experimental optimization multivariate calibration methods, etc.,

Catalysis and Physical Organic Chemistry

New synthetic strategies and novel methods for the construction of b-lactams are being developed. We are interested in reaction mechanisms, isotope tracer, kinetics and geometry in both homogeneous and heterogeneous reactions.

Research Facilities

The major facilities for research and education at the department are as follows:

- 1 H NMR Spectrometer

- 13 C FT-NMR Spectrometer

- Infrared Spectrometers

- Gas Chromatographs

- High Performance Liquid Chromatograph

- Atomic Absorption Spectrophotometer

- Photolysis Set

- Flow Injection Analysis System

- Probe Photometer

- Supercritical Fluid Extraction System

- Electrochemical Set

- Simultaneous Steam Distillation Solvent Extraction Set

- UV-Vis Spectrophotometers

- Automatic Titration System

- Gas Chromatograph

- Mass Spectrometer Set

- Ion Mobility Spectrometer

UNDERGRADUATE PROGRAM

Undergraduate students must take 20 credits in general courses, 26 credits in basic courses, 71 credits in compulsory courses and 15 credits in elective courses (total 132 credits) for B.Sc. in chemistry.

UNDERGRADUATE COURSES

Curriculum for the Degree of Bachelor of Science in Chemistry

Major Pure Chemistry

COURSE CODE COURSE TITLE CREDITS

Semester I (Fall)

19101 Calculus I 4

20109 Basic Physics I 4

21101 General Chemistry I 3

21102 General Chemistry Lab. I 1

20111 Physics I Lab 1

25510 English Language 3

- General Courses 3

Semester II (Spring)

19102 Calculus II 4

20110 Basic Physics II 4

21103 General Chemistry II 3

21104 General Chemistry II Lab 1

20211 Physics II Lab 1

21218 Organic Chemistry I 3

21501 English for Chemistry 2

- General Courses 2

Semester III (Summer)

- - -

Semester IV (Fall)

21249 Physical Chemistry I 3

21136 Analytical Chemistry for Chemists 3

21430 Inorganic Chemistry I 3

21112 Organic Chemistry Lab I 1

21252 Physical Chemistry Lab I 1

21219 Organic Chemistry II 3

21137 Analytical Chemistry Lab I 1

21432 Inorganic Chemistry Lab I 1

Semester V (Spring)

21250 Physical Chemistry II 3

21322 Analytical Chemistry II 2

21433 Inorganic Chemistry II 4

21212 Organic Chemistry Lab II 1

21254 Physical Chemistry Lab II 1

21223 Organic Chemistry III 3

14601 Computation Principles of Industrial Chemistry 3

- General Courses 3

Semester VI (Fall)

21434 Inorganic Chemistry Lab II 1

21257 Fundamintal of Quantum Chemistry 3

21324 Instrumental Analytical Chemistry 3

21323 Analytical Chemistry Lab II 2

18151 Fortran Programming 2

19201 Differential Equations 3

- Elective Courses 3

Semester VII (Spring)

21227 Organometallic Chemistry 3

21229 Organic Compound Seperation 1

21230 Organic Compound Seperation Lab 2

21326 Instrumental Analytical Chemistry Lab 2

21224 Spectroscopy in Organic Chemistry 2

28111 Graphics 1

21511 Study Skills 1

- Elective Courses 3

- General Courses 5

Semester IX (Fall)

21239 Organic Physical Chemistry 3

21327 Molecular Spectroscopy 3

24101 Workshop 1

- Elective Courses 9

- General Courses 4

Elective Courses

36490 Biochemistry 3

21601 Fundamentals of Polymer Chemistry 4

21603 Polymer Chemistry & Technology 2

21851 Research Methods 3

21225 Synthesis of Organic Compounds 3

Curriculum for the Degree of Bachelor of Science in Chemistry

Major Applied Chemistry

Semester I (Fall)

19101 Calculus I 4

20109 Basic Physics I 4

21101 General Chemistry I 3

21102 General Chemistry Lab. I 1

20111 Physics I Lab 1

25510 English Language 3

- General Courses 3

Semester II (Spring)

19102 Calculus II 4

20110 Basic Physics II 4

21103 General Chemistry II 3

21104 General Chemistry II Lab 1

20211 Physics II Lab 1

21218 Organic Chemistry 3

General Courses 2

Semester III (Spring)

- - -

Semester IV (Spring)

21249 Physical Chemistry I 3

21136 Analytical Chemistry for Chemists 3

21430 Inorganic Chemistry I 3

21112 Organic Chemistry Lab I 1

21252 Physical Chemistry Lab I 1

21219 Organic Chemistry II 3

21137 Analytical Chemistry Lab I 1

21432 Inorganic Chemistry Lab I 1

- General Courses 3

Semester V (Fall)

21250 Physical Chemistry II 3

21322 Analytical Chemistry II 2

21433 Inorganic Chemistry II 4

21212 Organic Chemistry Lab II 1

21254 Physical Chemistry Lab II 1

21223 Organic Chemistry III 3

14601 Computation Principles of Industrial Chemistry 3

- General Courses 3

Semester VI (Summer)

21500 Summer Training 2

Semester VII (Fall)

14602 Industrial Chemistry I 3

21324 Instrumental Analytical Chemistry 3

14607 Corrosion 2

21323 Analytical Chemistry Lab II 1

18151 Fortran Programming 2

19201 Differential Equations 3

- Elective Courses 3

- General Courses 3

Semester VIII (Spring)

14603 Industrial Chemistry II 3

21229 Organic Compound Seperation 1

21230 Organic Compound Seperation Lab 2

21326 Instrumental Analytical Chemistry Lab 2

21224 Spectroscopy in Organic Chemistry 2

28111 Graphics 1

21511 Study Skills 1

- Elective Courses 3

- General Courses 5

Semester IX (Fall)

14604 Industrial Chemistry Lab 2

14606 Industrial Water and Wastewater Treatment 3

24101 Workshop 1

- Elective Courses 9

21501 English for Chemistry 2

Elective Courses

21257 Quantum Chemistry 3

21601 Fundamentals of Polymer Chemistry 4

21603 Polymer Chemistry & Technology 2

21851 Research Methods 3

21225 Synthesis of Organic Compounds 3

21239 Organic Physical Chemistry 3

21327 Molecular Spectroscopy 3

UNDERGRADUATE COURSE DESCRIPTIONS

21101 General Chemistry I 3 Cr. Basic concepts, stoichiometry, gases, thermochemistry, atomic structure, periodic table, liquids and solids, solutions.

21102 General Chemistry Lab I 1 Cr. Independent laboratory work under the supervision of a facility member of the chemistry department.

Prerequisite : General Chemistry I 21101.

21103 General Chemistry II 3 Cr. Chemical kinetics, chemical equilibrium, acids and bases, electrochemistry and cells, solubility products, nuclear chemistry.

Prerequisite : General Chemistry I 21101

21104 General Chemistry Lab II 1 Cr. Independent laboratory work in inorganic qualitative analytical chemistry. Prerequisite : General Chemistry II 21103

21107 General Chemistry for Engineering 3 Cr. Stoichiometry, gases thermochemistry, atomic structure, solutions of acids and bases, electrochemistry, chemical kinetics.

21112 Organic Chemistry Lab I 1 Cr. Independent laboratory work in synthesis, separation and identification of organic materials.

Prerequisite : Organic Chemistry I 21218; General Chemistry Lab 21102

21116 Engineering Organic Chemistry 4 Cr. The most important topics of 21218 and 21219. Prerequisite : General Chemistry II 21103

21131 Analytical Chemistry for Chemical Engineers 3 Cr. Statistics, Acid - Base precipitation, volumetric titration, complexometry, Electrochemistry, Oxidation - Reduction titration, Instrumentation. Prerequisite : General Chemistry II 21103

21133 Analytical Chemistry for Materials 2 Cr. Acid - base precipitation, volumetric titration, electrochemistry, oxidation - reduction titration, instrumentation, arc - spark - atomic emission spectroscopy, atomic absorption spectroscopy. Prerequisite : General Engineering Chemistry 21107

21136 Analytical Chemistry for Chemists 3 Cr. Theoretical concepts of analytical chemistry, statistics, gravimetric and volumetric methods, titration curves, oxidation, reduction titrations complexometry.

Prerequisite : General Chemistry II 21103

21137 Analytical Chemistry Lab I 1 Cr. Experiments in gravimetric and volumetric techniques - acid-base titrations.

Prerequisite : General Chemistry Lab II 21104

21138 Analytical Chemistry for Mining 2 Cr. Acid - base precipitation - volumetric titration, electrochemistry, oxidation, reduction titration, instrumentation, arc - spark, atomic emission spectroscopy - atomic absorption spectroscopy. Prerequisite : General Engineering Chemistry 21107

21204 Organic Chemistry for Agriculture 3 Cr. Molecular structure, hydro- carbons chemistry, alkylhalids, stereochemistry, aromatics, alcohols, aldehydes, ketones, ethers, epoxides, spectroscopy, carboxylic acids.

Prerequisite : General Engineering Chemistry 21107

21212 Organic Chemistry Lab II 1 Cr. Electrophilic aromatic substitution, extraction, preparing soaps, synthesis of dyes-esterifications.

Prerequisite : (21219) Organic Chemistry Lab I 21112

21218 Organic Chemistry I 3 Cr. Structure and bonding, alkanes, alkenes, reactions and mechanisms, alkylhalides, stereochemistry, alkynes.

Prerequisite : General Chemistry II 21103

21219 Organic Chemistry II 3 Cr. Electrophilic aromatic substitutions, aldehydes, ketones, alcohols, ethers, carboxylic acids and derivatives.

Prerequisite : Organic Chemistry I 21218

21223 Organic Chemistry III 3 Cr. Carbanion II, a, b -unsaturatad carbonyl carbons, polynuclear aromatic compounds, carbohydrates, polypeptides, Heterocyclic Chemistry. Prerequisite : Organic Chemistry II 21219

21224 Spectroscopy in Organic Chemistry 2 Cr. Mass spectrometry, H-NMR, 13 C-NMR, IR and UV-Vis Spectroscopy. Prerequisite : Organic Chemistry II for Chemists 21222

21229 Organic Compound Separation and Identification 1 Cr. Purity and physical properties of organic compounds, classification via solubility - characterization of functional groups. Prerequisite : Organic Chemistry II 21219

21230 Organic Compound Separation and Identification Lab 2 Cr.

separation and identification of mixtures of two or more known and unknown and making derivatives.

Prerequisite : Organic Compound Separation; Identification 21229

21231 Analytical Chemistry Lab-Chemical Engineers 1 Cr. Experiments in precipitation, complexometry, electrochemistry, volumetric and gravimetric. Prerequisite : General Chemistry II 21103

21239 Physical Organic Chemistry 3 Cr. Models of chemical bonding, H-Mo theory, aromaticity, pericyclic reactions, acids-base, study of organic reaction mechanism. Prerequisite : Physical Chemistry I 21250

21249 Physical Chemistry I 3 Cr. Properties of gases, kinetic theory of gases, thermodynamics laws, chemical equilibrium.

Prerequisite : Calculus I 19101; General Chemistry II 21103

21250 Physical Chemistry II 3 Cr. Phase transitions, electrolytes, chemical kinetics. Prerequisite : Physical Chemistry I 21249

21252 Physical Chemistry Lab I 1 Cr. Experiments in gases, equilibrium, kinetics, refractive index, vapor pressure, adsorption.

Prerequisite : Physical Chemistry I 21249

21254 Physical Chemistry Lab II 1 Cr. Experiments in equilibrium and temperature, kinetics of ionic reactions, phase diagrams of ternary systems, conductometry, solubility, partial molar volume, transference number.

Prerequisite : Physical Chemistry II 21250

21257 Fundamentals of Quantum Chemistry 3 Cr. Classical mechanics of one particle systems, quantum mechanics, atomic structure.

Prerequisite : Physical Chemistry II 21249

21271 Physical Chemistry for Chemical Engineers 3 Cr. Chemical kinetics, gas kinetics, quantum chemistry, statistical thermodynamics.

Prerequisite : General Chemistry II 21103

21322 Analytical Chemistry II 2 Cr. oxidation-reduction systems, electrochemistry, selected electrodes, conductometry, voltametry.

Prerequisite : Analytical Chemistry for Chemists 21136

21323 Analytical Chemistry Lab II 2 Cr. Experiments in electrochemistry. Prerequisite : Analytical Chemistry II 21322

21324 Instrumental Analytical Chemistry 3 Cr. Introduction, signal to noise enhancement, atomic spectroscopy. Molecular spectroscopy, chromatography, mass spectrometry. Prerequisite : Analytical Chemistry II 21322

21326 Instrumental Analytical Chemistry Lab 2 Cr. Atomic spectroscopic techniques, molecular spectroscopic techniques. IR, UV, Vis, NMR, HPLC, GC, Tlc Techniques.

21327 Molecular Spectroscopy 3 Cr. Rotational and vibrational spectroscopy (IR, Raman), group theory applied to spectroscopy, electronic spectroscopy, NMR spectroscopy. Prerequisite : Fundamentals of Quantum Chemistry 21257

21328 Analysis of Real Samples 2 Cr. Analysis of real organic and inorganic chemistry. Prerequisite : Analytical Chemistry II 21322

21342 Physical Chemistry Lab for Textile 1 Cr. Experiments in chemical kinetics, adsorption, equilibrium constants, phase diagrams. Conductometry, MW determination of macromolecules.

Prerequisite : General Engineering Chemistry 21107

21343 Physical Chemistry for Textile 1 Cr. Thermodynamics laws, solutions - kinetics, quantum chemistry, macromolecule physical chemistry.

Prerequisite : General Engineering Chemistry 21107

21430 Inorganic Chemistry I 3 Cr. Structure of atoms, bonding model in inorganic chemistry, solid state, covalent bonding, chemical forces, acid-base chemistry, symmetry. Prerequisite : General Chemistry II 21103

21432 Inorganic Chemistry Lab I 1 Cr. Preparation and reactions of some inorganic compounds. Prerequisite : Inorganic Chemistry I 21430

21433 Inorganic Chemistry II 3 Cr. Metal complexes, structure, bonding, electronic structure, spectra, d-block complexes, catalysis and bioinorganic chemistry. Prerequisite : Inorganic Chemistry I 21430

21434 Inorganic Chemistry Lab II 1 Cr. Synthesis, characterization and properties of coordination compounds.

Prerequisite : Inorganic Chemistry Lab I 21432

21501 English for Chemistry 2 Cr. Understanding english texts and articles. Prerequisite : English Language 25510

21511 Study skills 1 Cr. Introduction to scientific publications in the library. Prerequisite : English for Chemistry 21501

21531 Analytical Chemistry for Textile Engineers 3 Cr. Acid-base, precipitation techniques, electrochemistry, spectroscopy.

Prerequisite : General Engineering Chemistry 21107

21532 Analytical Chemistry Lab for Textile 1 Cr. Experiments in precipitation, complexometry, electrochemistry, volumetric and gravimetric.

Prerequisite : General Engineering Chemistry 21107

21601 Polymer Chemistry Fundamentals 4 Cr. Polymer terminology, physical and mechanical relationship with structure, morphology, polymerization reactions, polycondensation-polyaddition copolymerization, diels-alder polymerization. Prerequisite : Organic Chemistry II 21219

21851 Research Methods 3 Cr. Performing a chemical research under supervision of a faculty staff.

GRADUATE PROGRAM

(a) M.Sc. Program

Graduate students must take 9 credits from advanced organic, advanced inorganic, advanced analytical or advanced physical chemistry and 6 credits in his or her required courses, 6 credits from elective courses, seminar (1 credit) and thesis (8 credits), totally 30 credits to obtain M.Sc. degree.

(b) Ph.D. Program

Graduate students according to their field of study (Organic, Inorganic, Analytical and Physical Chemistry) should take 15 credits and two seminars (2 credits). After passing the comprehensive exam, they will take a research project (25 credits) and taking part in cumulative exams (5 times a year), to obtain Ph.D. in one of four fields of chemistry. The following table is a list of academic staff and their research interests.

Surname & Name Field of Research Interest

AMINZADEH Amanollah Inorganic Chemistry, Raman Spect

AMIRNASR Mehdi Physical Inorganic Chemistry, Photochemistry

DABBAGH Abdolhossein Catalysis, Organic Reaction Mechanism

ENSAFI Ali A. Analytical Chemistry, Kinetics & Electrochem

GHAZIASKAR S. Hassan Analytical Chemistry, Laser Spectroscopy,

Supercritical Fluid Technology

GHIACI Mehran Physical Organic Chemistry (New Methodology

in Organic Chemistry)

HAJIPOUR Abdolreza Organic Chemistry, Asymmetric Synthesis

KHAYAMIAN Taghi Analytical Chemistry, Analytical

Atomic Spectroscopy

MALLAKPOUR Shadpour Organic Polymer Chemistry Aryne and

Bisaryne Chemistry

NAJAFI Bijan Physical Chemistry (Thermodynamics)

PARSAFAR Gholam Abbas Physical Chemistry, Statistical Thermodynamics

RAHIMI MANSOUR Hassan Analytical Chemistry, Raman Spectroscopy

REZAIE Behzad Analytical Chemistry

TABRIZCHI Mahmoud Physical Chemistry, Spectroscopy

GRADUATE COURSES

Curriculum for the Degree of Master of Science in Chemistry

Major Physical Chemistry

COURSE CODE COURSE TITLE CREDITS

Semester I (Fall)

21950 Advanced Organic Chemistry 3

21960 Advanced Physical Chemistry 3

21980 Advanced Analytical Chemistry 3

21970 Advanced Inorganic Chemistry 3

Semester II (Spring)

21962 Quantum Chemistry II 3

21961 Statistical Thermodynamics 3

21963 Advanced Chemical Kinetics Theory 3

Semester III (Fall)

Thesis 0

21990 Seminar 1

Elective Courses 6

Semester IV (Spring)

21940 Thesis 8

Curriculum for the Degree of Master of Science in Chemistry

Major Inorganic Chemistry

Semester I (Fall)

21950 Advanced Organic Chemistry 3

21960 Advanced Physical Chemistry 3

21970 Advanced Inorganic Chemistry 3

21980 Advanced Analytical Chemistry 3

Semester II (Spring)

21971 Kinetics, Thermodynamics and

Mechanicm of Inorganic Chemistry 3

21973 Chemical Application of Group Theory 3

21977 Spectroscopy in Inorganic Chemistry 3

Semester III (Fall)

Thesis 0

21990 Seminar 1

Elective Courses 6

Semester IV (Spring)

21940 Thesis 8

Curriculum for the Degree of Master of Science in Chemistry

Major Organic Chemistry

Semester I (Fall)

21950 Advanced Organic Chemistry 3

21960 Advanced Physical Chemistry 3

21980 Advanced Analytical Chemistry 3

21970 Advanced Inorganic Chemistry 3

Semester II (Spring)

21951 Synthesis Methods in Organic Chemistry 3

21952 Physical Organic Chemistry 3

21953 Molecular Spectroscopy 3

Semester III (Fall)

Thesis 0

21990 Seminar 1

Elective Courses 6

Semester IV (Spring)

21940 Thesis 8

Curriculum for the Degree of Master of Science in Chemistry

Major Analytical Chemistry

COURSE CODE COURSE TITLE CREDITS

Semester I (Fall)

21950 Advanced Organic Chemistry 3

21960 Advanced Physical Chemistry 3

21980 Advanced Analytical Chemistry 3

21970 Advanced Inorganic Chemistry 3

Semester II (Spring)

21983 Physical and Chemical Methods of Separation 3

21984 Advanced Electrochemistry 3

21986 Advanced Topics in Analytical Chemistry 3

Semester III (Fall)

Thesis 0

21990 Seminar 1

Elective Courses 6

Semester IV (Spring)

21940 Thesis 4

Curriculum for the Degree of Master of Science in Chemistry

21950 Advanced Organic Chemistry 3

21960 Advanced Physical Chemistry 3

21980 Advanced Analytical Chemistry 3

21970 Advanced Inorganic Chemistry 3

21921 Quantum Chemistry 3

21926 Chromatography 3

21951 Synthesis Methods in Organic Chemistry 3

21952 Physical Organic Chemistry 3

21953 Molecular Spectroscopy 3

21954 Organometalic Chemistry 3

21955 Chemistry of Heterocyclic Compounds 3

21956 Advanced Topics in Organic Chemistry 3

21957 Fundamentals of Polymer Chemistry 3

21961 Statistical Thermodynamics 3

21962 Quantum Chemistry II 3

21963 Advanced Chemical Kinetics 3

21964 Stereochemistry 3

21967 Advanced Topics in Physical Chemistry 3

21972 Inorganic Physical Chemistry 3

21973 Chemical Application of Group Theory 3

21975 Photochemistry 3

21978 Advanced Topics in Inorganic Chemistry 3

21981 Analytical Electrochemistry 3

21982 Analytical Spectroscopy 3

21983 Physical and Chemical Methods of Separation 3

21984 Advanced Electrochemistry 3

21986 Advanced Topics in Analytical Chemistry 3

21988 Atomic Spectroscopy 3

Curriculum for the Degree of Ph.D. in Chemistry

Major Organic Chemistry

COURSE CODE COURSE TITLE CREDITS

Semester I (Fall)

21010 Computer in Chemistry 3

21011 Advanced Polymer Chemistry 3

21012 Recent Advances in Natural Products 3

Semester II (Spring)

21014 Advanced Heterocyclic Chemistry 3

21016 Advanced Topics in Organic Chemistry 3

Semester III (Summer)

Thesis

Seminar

Semester IV (Fall)

Thesis

Terms V, VI, VII and VIII Continue of Thesis

Curriculum for the Degree of Ph.D. in Chemistry

Major Physical Chemistry

Semester I (Fall)

21030 Quantum Chemistry III 3

21026 Statistical Thermodynamics II 3

21029 Mathematics in Physical Chemistry 3

Semester II (Spring)

21027 Thermodynamics of Irreversible Processes 3

21031 Molecular Spectroscopy 3

Semester III (Summer)

Thesis

Seminar

Semester IV (Fall)

Thesis

Terms V, VI, VII and VIII Continue of Thesis

Curriculum for the Degree of Ph.D. in Chemistry

Major Analytical Chemistry

Semester I (Fall)

21056 Analytical Chemistry in Nonaqueous Solvents 3

21057 Application of Lasers in Chemistry 3

21060 Kinetics and Thermal Methods in Analysis 3

Semester II (Spring)

21059 New Methods in Instrumental Analysis 3

21062 Advanced Topics in Analytical Chemistry 3

Semester III (Summer)

Thesis

Seminar

Semester IV (Fall)

Thesis

Terms V, VI, VII and VIII Continue of Thesis

Curriculum for the Degree of Ph.D. in Chemistry Major Inorganic Chemistry

Semester I (Fall)

21041 Chemistry of Excited states and 3

Active Intermediates

21042 Advanced Photochemistry 3

21044 Structure and Bonding in Inorganic Compounds 3

Semester II (Spring)

21043 Chemistry of Inorganic Polymers 3

21045 Advanced Topics in Inorganic Chemistry 3

Semester III (Summer)

Thesis

Seminar

Semester IV (Fall)

Thesis

Terms V, VI, VII and VIII Continue of Thesis

Curriculum for the Degree of Ph.D. in Chemistry

21010 Computer in Chemistry 3

21011 Advanced Polymer Chemistry 3

21012 Recent Advances in Natural Products 3

21014 Advanced Heterocyclic Chemistry 3

21015 Advanced Topics in Organic Chemistry 3

21026 Statistical Thermodynamics II 3

21027 Thermodynamics of Irreversible Processes 3

21028 Chemical Thermodynamics of Solids 3

21029 Mathematics in Physical Chemistry 3

21030 Quantum Chemistry III 3

21031 Molecular Spectroscopy 3

21032 Advanced Topics in Physical Chemistry 3

21041 Chemistry of Excited states and Active 3

Intermediates

21042 Advanced Photochemistry 3

21045 Advanced Topics in Inorganic Chemistry 3

21060 Kinetics and Thermal Methods in Analysis 3

21062 Advanced Topics in Analytical Chemistry 3

DEPARTMENT OF MATHEMATICAL SCIENCES

Department Head : H.R. Zohouri-Zangenah

Professors : A. Haghany

Associate Professors : A. Parsian; A. Rejali; Gh. Vakily;

A. Zeinal Hamadani

Assistant Professors : M. Aghasi; S. Alimoradi; F. Bahrami;

M. Bina-Motlagh; M. Esmaeli; M.T. Jahandideh; H. Khabazian; A. Naderi; M. Nikfar; A. Saei;

M. Salehi Marzijarani; H. Zohouri Zangeneh

Instructors : F. Kheradpazhuh; S.M. Mangegani;

H. Marzban; M. Mashkouri Najafi; S. Pooladsaz; F. Rismanchian; B. Taeri; M. Taheri

The Department of Mathematical Sciences offers the degrees of Bachelor of Science (B.Sc.) in Pure and Applied Mathematics and Statistics. At the graduate level, offers the Master of Science (M.Sc.) and Ph.D. in Pure and applied Mathematics and Statistics.

Research Activities

The Department of Mathematical Sciences of Isfahan University of Technology founded in 1976, originally a part of the Basic Science Department, started its activities in order to offer services for engineering students of the University. Due to rapid growth and high activities of the faculty members, it turned to an independent Department with specialists in mathematics (both pure and applied) and statistics .

The main research areas of the department are Algebra, Analysis, Algebraic Geometry, Dynamical Systems, Theory of Coding, Partial and Ordinary Differential Equations, Probability Theory, Statistics, and Quality Control. Long time activities on Mathematics and Statistics Education makes it a major research center on the subject.

Algebra

The main research topics of interest to faculty members of this group include: The Theory of Rings, Homological Algebra , and Hopf Algebra . The study of categorical and homological aspects of non-commutative rings form the basis of the ongoing research on the subject. In particular, Morita Theory provides a basic tool in transforming information between context equivalent rings. These may be homological, ring theoretical or categorical in nature. The ring theorists are specially active in transferring torsion theories between module categories and in the determination of functors being used. Some related properties such as localization in non-commutative settings, Hopficity and dimension theories are also being investigated.

Finite groups acting on rings by automorphisms, Lie algebras acting on algebras by derivations, and group graded rings make Hopf Algebra H, acting on H-module algebra. Involutions, centralizers, derivations, rings of quotients, and weakly primitive rings are also areas of ring theory that some faculty members are interested in.

Analysis

The main research areas in this group are Operator Theory, Schwartz Distribution Theory in Functional Analysis and Measure Theory . Of particular interest are the study of minimal prime ideals in normed rings, the structure of primary closed ideals at infinity in Banach algebras, as well as generalized Fourier Transforms with applications in automatic continuity.

Algebraic Geometry

Algebraic geometry is studied in different aspects such as classical, modern and arithmetical. The problem of resolution of singularities has been involved with all of these branches of algebraic geometry.

The existence of a regular model for arithmetic surfaces is known. Some people have tried to find a desingularization for arithmetical three folds in some special cases. The main interest of the group is to resolve the singularities of those arithmetical three-folds which are a fibre product of two arithmetic surfaces. The group is embarking on research to find a desingularization for arithmetical three-folds.

Dynamical Systems and Differential Equations

The main research topics of interest to this group are the different aspects of qualitative behavior in the system of nonlinear differential and difference equations, specially local and global bifurcation of higher codimension and its application to problems in engineering, biology and economics. Role of symmetry in bifurcation, analysis of different routes to chaos via bifurcation theory, bifurcation in large systems, Partial Differential Equations and evolution equations using center manifold theory are among other interests of the group.

Mathematics Education

These studies started with in-service training programs for high school teachers. Some research work has been carried out into lack of interest among students in studying mathematics, mathematics competitions, curriculum development , and methods of popularizing mathematics in schools . The activities carried out within Mathematics Education are World Mathematics in the year 2000 , and the establishment of research centers and societies for teachers of mathematics in different provinces.

Other issues under study include a investigation into the possibility of changing the methodology of teaching mathematics at elementary level, the effect of computer on mathematics education, and writing standards for teaching mathematics in Iran .

Probability Theory

Probabilistic Number Theory, Stochastic Processes , and Random Number Generators form the three main research topics in this area.

The study of asymptotic local and cumulative distribution of additive and multiplicative arithmetic functions with applications in computer sciences and the study of Zeta distribution with applications in number theory and the study of the rare events are the main interests for faculty members of this group. Some are also interested in research on stable processes and Gaussian Processes .

Statistics

Research in this area mainly concerns statistical inference with emphasis on estimating the univariate and multivariate parameters, Kernel density estimation, nonparametric density and regression estimation, inferential study of location and scale parameters using asymmetric loss functions.

Under quality control topic, the emphasis is placed on multivariate control charts, sampling, TQM and ISO 9000 .

In reliability , emphasis is placed on system reliability with dependent components, and availability modelling with bivariate failure-repair distributions .

Generalized Linear Mixed Models (GLMM)

GLMM unifies estimation and inference approaches for both continuous and discrete response data. The themes of interest in the research activities are as follows: estimation of variance components in regression models with restriction on the random components for continuous response data; estimation and inference of variance components, parameters of regression models for different types of discrete response data (ordinal, nominal, etc.) and survival times; and power and dropout rates studies as well as their extension to multivariate response data for the above models.

In near future, some faculty members will join us with research interests on Fuzzy Statistics, Theory of finite groups, applied mathematics and numerical analysis.

Theory of Coding

Efficient transmission of data through a noisy channel is addressed in the theory of Error Correcting Codes. A data sequence of length k is extended to a length n>k sequence. There is an extra cost for the transmission of n-k added bits. Therefore:

Given n and k, a key problem is the coustruction of code C of length n and dimension k with the largest minimum distance d.

The construction of both hard-decision and soft-decision decoding algorithms is the other main problem in the theory of Error Correcting Codes.

Research Facilities

The major facilities for research and education at the department are as follows:

- Direct access to internet and email facilities through NT network

- Direct access to the library with necessary books, journals and CD-Roms

- Connection with ipm for access to its library

- All necessary packages such as Math-lab, Maple, MATHEMATICA, SAS, S + , minitab, STATA, SPSS

UNDERGRADUATE PROGRAM

Undergraduate students must take respectively 20 credits in general courses, 61, 61 and 30 credits in basic courses, 36, 39 and 76 credits in compulsory courses and 15, 15 and 6 credits in elective courses (total 132, 135, 132 credits) to obtain B.Sc. in Pure Mathematics, Applied Mathematics and Statistics .

UNDERGRADUATE COURSES

Curriculum for the Degree of Bachelor of Science in Mathematics,

Major Pure Mathematics

COURSE CODE COURSE TITLE CREDITS

Semester I (Fall)

19101 Calculus I 4

20101 General Physics (Mechanics) 2

20103 General Physics (Heat) 2

20111 General Physics Lab I 1

25510 English I For Science 3

- General Courses 4

Semester II (Spring)

19102 Calculus II 4

19104 Foundation of Mathematics 4

18101 Fundamentals of Computer Programming 4

20203 General Physics (Electricity & Magnetism) 2

20211 General Physics Lab (Electricity) 1

- General Courses 2

Semester III (Fall)

19201 Elementary Differential Equation 3

19119 Probability and Statistics I 4

19117 Linear Algebra 4

19115 Mathematical Analysis I 4

20204 General Physics (Waves) 2

- General Courses 2

Semester IV (Spring)

19114 Algebra I 4

19116 Mathematical Analysis II 4

19120 Probability and Statistics II 4

19204 Elementary Partial Differential Equation 2 Elements P.D.E

- General Courses 3

Semester V (Fall)

19340 Discrete Mathematics 4

19443 Mathematical Analysis III 4

19333 Numerical Analysis I 4

19431 Algebra II 4

- General Courses 2

Semester VI (Spring)

19438 Algebra III 4

19330 Mathematics Softwares 2

19402 Number Theory 4

19440 Introduction to Ordinary Differential Equations 4

- General Courses

Semester VII (Fall)

19321 Complex Variable 4

19441 Topology 4

19437 Differential Geometry 4

- Elective 4

- General Courses 2

Semester VIII (Spring)

19405 Introductory Algebraic Geometry 4

- Elective 7

Curriculum for the Degree of Bachelor of Science in Mathematics,

Major Applied Mathematics

COURSE CODE COURSE TITLE CREDITS

Semester I (Fall)

19101 Calculus I 4

20101 General Physics (Mechanics) 2

20103 General Physics (Heat) 2

20111 General Physics Lab (Heat) 1

25510 English I For Science 3

- General Courses 4

Semester II (Spring)

19102 Calculus II 4

19104 Foundation of Mathematics 4

18101 Fundamentals of Computer Programming 4

20203 General Physics (Electricity & Magnetism) 2

20211 General Physics Lab (Electricity) 1

- General Courses 2

Semester III( Fall)

19201 Elementary Differential Equation 3

19119 Probability and Statistics I 4

19117 Linear Algebra 4

19115 Mathematical Analysis I 4

20204 General Physics (Waves) 2

- General Courses 2

Semester IV (Spring)

19114 Algebra I 4

19116 Mathematical Analysis II 4

19120 Probability and Statistics II 4

19204 Elementary Partial Differential Equation 2

- General Courses 3

Semester V (Fall)

19340 Discrete Mathematics 4

19581 Stochastic Process 4

19333 Numerical Analysis I 4

18201 Advanced Computer Programming 4

- General Courses 2

Semester VI (Spring)

19524 Time Series 4

13310 Operation Research I 3

18302 Data Structures & Algorithms 3

19334 Numerical Analysis II 4

19330 Mathematic Softwares 2

Semester VII (Fall)

19443 Mathematical Analysis III 4

19321 Complex Variable 4

13414 Operation Research II 3

- Elective 6

- General Courses 2

Semester VIII (Spring)

19440 Introduction to Ordinary Differential Equation 4

- Elective 7

- General Courses 2

Curriculum for the Degree of Bachelor of Science in Statistics

Semester I (Fall)

19501 Probability and Statistics 4

19101 Calculus I 4

25510 English I For Science 3

- General Courses 6

Semester II (Spring)

19513 Probability I 4

19102 Calculus II 4

18101 Fundamentals of Computer Programming 4

19508 Foundation of Economics 4

- General Courses 2

Semester III (Fall)

19511 Statistical Methods 4

19514 Probability II 4

19104 Foundation of Mathematics 4

19201 Elementary Differential Equation 3

- General Courses 2

Semester IV (Spring)

19518 Mathematical Statistics I 3

19530 Sampling Methods I 3

19117 Linear Algebra 4

19301 numerical Methods 2

19115 Mathematical Analysis I 4

- General Courses 2

Semester V (Fall)

19519 Mathematical Statistics II 4

19531 Sampling Methods 3

19581 Stochastic Process 4

19562 Regression 4

19506 Foundation of Deomography 3

- General Courses

Semester VI (Spring)

19553 Design and Analysis of Experiments I 4

19570 Mullivariate Statistical Methods I 4

19540 Nonparametric Methods 3

19524 Time series 4

19507 Foundation of Sociology 3

Semester VII (Fall)

19554 Design and Analysis of Experiments II 4

19542 Computational Statistics 3

19571 Multivariate Statistical Methods II 4

19544 Statistical Quality Control 3

- General Courses 2

Semester VIII (Spring)

19395 Training 2

- Elective 7

- General Courses 2

UNDERGRADUATE COURSE DESCRIPTIONS

19101 Calculus I 4 Cr. Study of single variable calculus, numerical sequences, limits, continuity differentiation, extreme function values, The definite integrals, applications of the definite integrals, Inverse functions, logarithmic and exponential functions, inverse trigonometric and hyperbolic functions, techniques of integration, indeterminate forms, improper integrals, taylor's formulae, infinite series. Prerequisite : Precalculus

19102 Calculus II 4 Cr. Study of several variable calculus: euclidean geometry matrices, linear transformation, elementary topology of Rn, limits, derivative as linear operator, directional and partial derivatives, extreme function values, lagrange multiplier, multivariable and iterated integrals, change of variable theorem, parametric curves and surfaces, line integral, surface integral, vector analysis, green stokes and divergence theorem.

Prerequisite : Calculus I 19101

19104 Foundation of Mathematics 4 Cr. Introduction to logic, concept of sets, relations, functions, cartesian products, countable sets, cardinal number, schrowder-bernstein cantor's theorems. Axiom of choice, zorn's lemma. construction of numbers: natural numbers, integers, rational and real numbers by set theory approach. Prerequisite : Calculus I 19101

19114 Algebra I 4 Cr. Groups and elementary properties, homomorphisms rings, fields, integral do-mains and their elementary properties P.I. and V.F. domains, finite fields. Prerequisite : Linear Algebra 19117

19115 Mathematical Analysis I 4 Cr. The real and complex number systems, basic topology, numerical sequences and series, continuity, differentiation. Prerequisite : Calculus II 19102; Foundation of Mathematics 19104

19116 Mathematical Analysis II 4 Cr. The Riemann-Stieltjes integral, sequences and series of functions, some special-functions.

Prerequisite : Mathematical Analysis I 19115

19117 Linear Algebra 4 Cr. Vector spaces. Basis, dimensions. Gram-shmidt process, projections, linear transformations, isomorphism, change of basis. Eigen values and eigen vectors, Diagonalizations, jordon cononical forms, hermition matrices, exponential of a matrix. Prerequisite : Calculus II 19102

19119 Probability and Statistics I 4 Cr. Probability as a set function on sample space, probability space, random variables, distribution functions, probability density function, mathematical expectation, chebyshev's inequality, conditional probability, independence. The transformations of variables of the discrete and continuous type and its generalizations. The moment generating function. The distribution of X and nS2/s2. Prerequisite : Calculus II 19102

19120 Probability and Statistics II 4 Cr. Convergence in probability, convergence in distribution, the central limit theorem, point estimation using maximum likelihood method and the method, of moments, confidence intervals, statistical hypothesis, neyman-pearson lemma, UMP tests, likelihood ratio test, chi-square tests. Prerequisite : Probability and Statistics I, 19119

19201 Elementary Differential Equation 3 Cr. Methods of solving especial classes of ordinary differential equation including linear, bernulli, separable and exact first order equation, reduction of order, variation of parameter, undetermined coefficients, power series methods, and laplace transform methods in second order linear equation and autonomous system of linear differential equations. Systems of first order differential equations, exponential matrix.

Prerequisite : Calculus I 19101; Calculus II 19102

19204 Elementary Partial Differential Equation 2 Cr. Fourier series, Fourier transformation and it's applications, introduction and classification of P.D.E. of types hyperbolic, parabolic and elliptic, separation of variables and fourier transform method for solving homogeneous and nonhomogeneous heat conduction & vibrating string and dirichlet problems, Sturm Lioville theorems and eigenvalue problems, canonical forms and D'Alembert's solution of wave equations. Prerequisite : Elementary Differential Equation 19201

19301 Numerical Methods 2 Cr. Errors and the sources, solving nonlinear equations solving systems of linear and nonlinear equations, interpolation, numerical differentiation and integrations, solving ordinary differential equations. Prerequisite : Calculus II 19102; Elementary Differential Equation 19201

19321 Complex Vaiables 4 Cr. Complex numbers and their geometrical representation, functions, mappings, limits, derivative, cauchy-riemann conditions, elementary functions and their mapping, integration, cauchy's theorem, indefinite integrals, cauchy's integral formula, morera's and liouville theorem, power series, laurant series, residues theorem, evaluation of certain types of real integrals, conformal mapping. Prerequisite : Mathematical Analysis I 19115

19333 Numerical Analysis I 4 Cr. Error in arithmetic operations & computional methods, solution of nonlinear equations, finite differences, interpolation, lagrange method, itkin method, numerical differentiation, numerical integration methods, solution of ordinary differential equations.

Prerequisite : Elementary Differential Equation 19201; 18101

19334 Numerical Analysis II 4 Cr. Solution of linear simultaneous equations, gauss elimination, other direct methods iteration methods, solution of nonlinear simultaneous equations, least square approximation, eigenvalues and eigenvectors, solution of partial differential equations, finite elements method and iteration methods. Prerequisite : Numerical Analysis I 19333; Elementary P.D.E. 19204

19340 Discrete Mathematics 4 Cr. Fundamental principles of counting, relations and functions, languages, finite state machine, principles of inclusion and exclusion, generating functions, recurrence relations, introduction to graph theory.

Prerequisite : Foundation of Mathematics 19104; 18101

19402 Number Theory 4 Cr. Solutions of congruences, congruences of higher degree quadratic residues, quadratic reciprocity.

Prerequisite : Foundation of Mathematics 19104

19405 Introductory Algebraic Geometry 4 Cr. Plane conics, cubics and the group law, curves and their genus, the category of affine varieties, Affine varieties and the null stellensatz, functions on varieties, projective and binational geometry, tangent space, tangent cone, singularity, dimension, lines on a cubic surface, an introduction to spectrum of a ring and structure sheaf.

Prerequisite : Algebra I 19114

19431 Algebra II 4 Cr. Action of a group on a set, sylow theorem UFD property, free modules, modules over PI domains, splitting fields of polynanails, normal extension galois theorem. Prerequisite : Algebra I 19114

19438 Algebra III 4 Cr. Torsion modules, invariance theorem, applications to

Abelian groups and linear transformations (rational and Jordan cononical forms). Real quadratic forms, decomposition of a single linear transformation and similarity, ring of endomorphisms of a finitely generated module over a P.I.D.

Prerequisite : Algebra II 19431

19440 Introduction to Ordinary Differential Equation 4 Cr. Linear systems, exponentials of operators, stability. The existence-uniqueness theorem for systems of ordinary differential equations, dependence on initial conditions and parameters, the maximal interval of existence, the flow defined by a differential equations, linearization, stable and unstable manifold theorem, Hartman-Grobman theorem, stability and Liapunov functions, gradient and Hamiltonian systems. The Poincare Bendixson theory in R2, Bendixson criteria. Prerequisite : Mathematical Analysis I 19115; Linear Algebra 19117; Elementary Differential Equation 19201

19441 Topology I 4 Cr. Topological spaces and continuous functions, connectedness and compactness, countability and separation axioms: the countability axioms, the separation axioms, the Urysohn lemma, the Urysohn metrization theorem, the Tychonoff theorem, the Stone-Cech compactification. Prerequisite : Mathematical Analysis I 19115

19443 Mathematical Analysis III 4 Cr. The derivative of functions of several variables, the Chain Rule, partial derivatives, the inverse function theorem, the implicit function theorem, the rank theorem, extremum problems with side conditions, Lagrange's theorem: multiple and iterated integrals for functions of several variables, Fubini's theorem, change of variables in multiple intergrals, differential forms and related theorems, simplexes and chains, Stoke's theorem, closed forms, exact forms and their applications in vector analysis.
Prerequisite : Mathematical Analysis II 19116

19506 Foundation of Demography 3 Cr. Introduction, source of data on population, structure of population, factors in population dynamics, population growth and population policy. Prerequisite : Sampling Methods 19530

19510 Probability & Statistics 4 Cr. Descriptive statistics, counting rules, introducing concepts of probability, conditional probability, Bayes theorem, random variables with emphasis on discrete cases, probability function & distribution function, conditional probability function, standard discrete distributions, sum of two independent random variables.

19511 Statistical Methods 4 Cr. An introduction to data analysis, estimation problems, testing statistical hypotheses, simple linear regression analysis, one-way analysis of variance, two-way analysis of variance, contingency tables.

Prerequisite : Probability I 19513

19513 Probability I 4 Cr. Probability models, axioms, theorems and interpretations related to probability functions, counting techniques, conditional probability, Bayes' formula, independent events, random variables, C.D.F. Discrete case, mathematical expectations, standard discrete distributions.

Prerequisite : Calculus I 19101; Probability & Statistics 19510

19514 Probability II 4 Cr. Continuous case, P.D.F., standard continuous

distributions moments, DeMoivre-Laplace theorem, bivariate case, functions of R.V.'s, conditional distributions, order statistics, M.G.F., L.L.N., C.L.T.

Prerequisite : Calculus II 19102; Statistical Methods 19511; Probability I 19513

19518 Mathematical Statistics I 3 Cr. Aspects of estimation, partitions, sufficiency, minimal sufficiency, completeness and bounded completeness, methods of estimation including method of moments & maximum likelihood method, unbiased estimation, minimum variance unbiased estimators, Cramer - Rao inequality, efficiency & consistency, introducing Bayes estimation.

Prerequisite : Statistical Methods 19511; Probability II 19514

19519 Mathematical Statistics II 3 Cr. Aspects of statistical hypothesis testing, simple vs simple tests most powerful tests, likelihood ratio tests, composite vs composite tests, uniformly most powerful tests, generalized likelihood ratio test sequential probability ratio test, categorical data analysis, contingency tables . Prerequisite : Mathematical Statistics I 19518

19524 Time Series 4 Cr. Stationary and weakly stationary processes, trends, seasonal variation, MA and AR processes, alternative representations of AR and MA processes, ARMA processes. Nonstationary time series. Forcasting spectral theory of time series. Prerequisite : Mathematical Statistics I 19518

19530 Sampling Methods I 3 Cr. Introduction to sampling and census; some basic concepts in sampling; random and non-random sampling; simple random and stratify sampling for mean, proportion's and ratio's and estimating sample size for above characteristics.

Prerequisite : Mathematical Statistics I 19518; Statistical Methods 19511

19531 Sampling Methods II 3 Cr. Simple random and stratify sampling for ratio's in details, regression estimating; cluster sampling for mean and proportion's, systematic sampling, two stage simple random sampling.
Prerequisite : Sampling Methods I 19530

19540 Nonparametric Statistics 3 Cr. Aspects of nonparametric, p-th quantile estimation and confidence interval, sign test, McNemar test, Cox and Stewart test, goodness of fit tests, Mann-Whitney test, Krushal-Wallis test, Spearman's Rho, Kendal's Tau, Wilcoxon signed ranks test.

Prerequisite : Statistical Methods 19511; Probability II 19514

19544 Statistical Quality Control 3 Cr. Aspects of quality control, history of quality improvement, TQM, seven magnificent rules, control charts for variables, control charts for attributes, acceptance sampling.

Prerequisite : Sampling Methods I 19530; Statistical Methods 19511

19553 Design and Analysis of Experiments I 4 Cr. Aspects of design and analysis of experiments, analysis of variance and comparison of means. Completely randomized design, complete block design, incomplete block designs, latin squares, Greeco latin. Youden square, General Factorial Experiments. Prerequisite : Regression 19562

19554 Design and Analysis of Experiments II 4 Cr. 2k and 3k factorial experiments, confounding, fractional replications, nested designs, multifactor experiments with randomization restrictions, split plot designs, analysis of covariance. Prerequisite : Design and Analysis of Experiments I 19553

19562 Regression 4 Cr. Aspects of regression analysis, straight-line regression analysis, sample correlation coefficient and the straight-line regression analysis, ANOVA table for simple linear regression, examination of residuals, multiple regression analysis, ANOVA table for multiple regression analysis, partial & multiple correlation coefficients, interaction in regression analysis, collinearity, polynomial regression, lack-of-fit test, orthogonal polynomials.

Prerequisite : Linear Algebra 19117; Mathematical Statistics I 19518

19570 Multivariate Statistical Methods I 3 Cr. Multivariate distribution theory, sampling from a Multivariate Normal Distribution and maximum likelihood estimation, Wishart distribution, inferences about a mean vector (generalized likelihood ratio test), confidence regions of the mean vector, simultaneous confidence intervals, comparison of several multivariate means, multivariate linear regression models.

19571 Multivariate Statistical Methods II 4 Cr. Principal component analysis, factor analysis, canonical correlation analysis, discrimination and classification, cluster analysis. Prerequisite : Multivariate Statistical Methods I 19570

19581 Stochastic Analysis 4 Cr. Markov Chains, the basic limit theorems, Random Variables, Branching process, Markov Chains with discrete states in continuous time including Possion and Birth and Death processes. Renewal processes. Prerequisite : Probability and Statistics II 19120

GRADUATE PROGRAM

(a) M.Sc. Program

Graduate students must take 12 (16) credits from table 1 and 12 (8) credits in his or her required courses from table 2, Seminar (2 credits) and thesis
(6 credits), totally 32 credits to obtain M.Sc. degree.

(b) Ph.D. Program

Graduate students according to their field of study (Algebra) should take
at least 20 credits. After passing the comprehensive exam, they will take a research project (24-30 credits), to obtain a Ph.D. in Mathematics. The following table is a list of academic staff and their research interests.

Surname & Name Field of Research Interest

AGHASI Mansour Arithmetical Algebraic Geometry, Resolution of

Singularities of Arithmetic three-folds

ALIMORADI Soroush L-Estimation in Regression and

Auto-Regression Models

BINA MOTLAGH Mahmoud Category Theory, Philosophy of Mathematics,

Synthetic Differential Geometry,

Mathematical Logic, Geometry

ESMAEILI Morteza Coding Theory, Design Theory, Graph Theory

HAGHANY Ahmad Commutative Algebra, Torsion Theories,

Noncommutative Rings

JAHANDIDEH Mohammad T. Operator Theory, Functional Analysis, Linear

Algebra

KHABAZIAN Hosein Algebra, Mathematical Engineering, Mathematical Analysis, Measure Theory, Noncommutative Rings

NADERI Amir Probability, Mathematical Statistics,

Computer Science

NIKFAR Moslem Funct. Analysis, Probability Theory

PARSIAN Ahmad Statistical Inference, Decision Theory

Multivariate Analysis

REJALI Ali Statistics, Mathematical Education, Probabilistic

Number Theory

SAEI Ayoub Applied Statistics, Applied Regression, Eshintion

and Inference of Component Variance,

ML,RGML,GLM, GLMM

SALEHI MARZIJARANI Sampling Survey, Adaptive,

Mohammad Capture-Recapture Analysis

VAKILI Ghodsieh Formal Power Series, Banach Algebras,

Operator Theory

ZEINAL HAMADANI Ali Applied Statistics, Reliability Modelling,

Quality Control, Design of Experiments

ZANGENAH Z. Hamidreza Ordinary Differential Equation,

Dynamical System

GRADUATE COURSES

Curriculum for the Degree of Master of Science M.Sc in Mathematics,

Major Pure Mathematics

Basic Courses

******************* Table I *******************

Advanced Algebra 4

Real Analysis I 4

Differential Manifolds I 4

Algebraic Topology 4

Seminar 2

Thesis 6

Elective Courses

******************* Table II *******************

19836 Module Theory 4

19837 Hopf Algebra 4

19839 Noetherian Ring Theory I 4

19840 Noetherian Ring Theory II 4

19849 Real Analysis II 4

19843 Harmonic Analysis 4

19844 Analytic Number Theory 4

19845 Complex Analysis 4

19846 Functional Analysis 4

19847 Operator Theory 4

19848 Applied Functional Analysis 4

19850 Several Variable Complex Analysis 4

19851 Intraduction to Riemann Surfaces 4

19853 Dynamical System I 4

19854 Dynamical System II 4

19855 Theory of Ordinary Differential Equations 4

19856 Partial Differential Equations I 4

19857 Partial Differential Equations II 4

19858 Topics in Dynamical Systems 4

19860 Topics in Operator Theory 4

Special Topics 4

Topics in Mathematical Logic 4

Topics in Set Theory 4

Model Theory 4

Graph Theory 4

Differential Manifolds II 4

Category Theory 4

Commulative Algebra 4

Algebraic Number Theory 4

Theory of Finite Groups 4

Infinite Groups 4

Homological Algebra 4

Group Representation Theory 4

Lie Algebra I 4

Lie Algebra II 4

Algebraic Geometry 4

Rings Theory 4

Group Representation and Lie Algebras 4

Topics in K-Algebra 4

Note : Only 12 credits of the above courses are necessary in M.Sc. program.

Curriculum for the Degree of Master of Science M.Sc in Mathematics,

Major Statistical Mathematics

Basic Courses

******************* Table I *******************

Real Analysis 4

Statistical Inference I 4

Statistical Inference II 4

Probability Theory I (Advanced Probability) 4

Seminar 2

Thesis 6

Elective Courses

******************* Table II *******************

Multivariate Statistical Analysis I 4

Linear Models I 4

Linear Models II 4

Generalized Linear Models 4

Signal Processing 4

Probability Theory II 4

Stochastic Processus II 4

Time Series II 4

Decision Theory 4

Queueing Theory 4

Sampling Theory III 4

Special Topics 4

Sequential Analysis 4

Advanced Statistical Methods 4

Theory of Reliability 4

Advanced Nonparametric Inference 4

Note : Only 8 credits of the above courses are necessary in M.Sc. program.

DEPARTMENT OF PHYSICS

Department Head : A.A. Babaei Brojeny

Professors : H. Akbarzadeh; S.M. Amini

Associate Professors : A.A. Babaei Brojeny; M. Safa; H. Salamati

Assistant Professors : M.H. Alamatsaz; M. Barezi; M. Haghighat;

Z. Kalantari; B. Mirza; A. Parvazian;

A. Shirani; A. Shirzad; M. Zahabi

Instructors : M.A. Afsari Khatibi; A. Dadkhah; M.T.Ghadiri

A.A. Nasr; H. Poustian

The Department of Physics offers the degrees of Bachelor of Science (B.Sc.), the Master of Science (M.Sc.) and the Doctor of Philosophy (Ph.D.).

For non physics students, the department also offers general physics and lab. (Mechanics numbered 20101 , Heat - 20103 , Electricity and Magnetism - 20203 , Waves - 20104 , General Physics - 20008 , Electricity - 20107 , Basic Physics I and II 20109 , 20110 , Electronic Physics - 20303 , General Phys. Lab. (20009) Electricity and Magnetism Lab. (20211) , Heat Lab. (20111).

Research Activities

The research interests of the department are mainly focused in the fields of Computational Physics, Theoretical Superconductivity, Particles and Fields, and Experimental Solid State Physics .

Computational Physics

This group is involved with the study of structural, electronic and dynamic properties of crystals under pressure by ab-initio methods . These calculations are based on minimizing total energy techniques using density functional and pseudo potential approach. Research into molecular dynamic simulation of amorphous materials and liquids at high pressures, quantum dynamics and quantum chaos, and Monte Carlo simulation of nuclear radiation with matter are the other issues under study by the group.

Theoretical Superconductivity

Research on theoretical superconductivity consists of the phenomenological investigation of the magnetic behavior of thin and thick high-temperature superconductors in terms of their response to external magnetic fields . The surface barrier effects are the main studies relevant to this behavior.

Another research theme in the group is the vortices motions in the anisotropic materials with low and high anisotropic properties , as well as the investigation of the glassy and liquid states of these substances . Some more research is currently going on into the proximity effects inducing high temperature superconductivity .

Particles and Fields

Singular Lagrangians and Hamiltonian constrained systems are in great interrelation with the gauge theories. The group is interested in the study of the basic aspects of constrained systems, such as the generators of gauge transformations . Another theme pursued by the group is the investigation of the nonperturbative part of strong interaction through the study of heavy hadron . Although this is a difficult problem to pursue, it has recently been simplified greatly by the discovery of new symmetries in the limit of infinitely massive Quark. Weak decay and mass spectroscopy of heavy hadrons are considered within this framework.

Experimental Solid State Physics

The group is mainly involved in the studies of high temperature superconductivity and magnetic properties of materials. Preparation of Bi and Y based high temperature superconductors and measurement of their magnetic susceptibility, resistivity and critical current are also performed. The magnetic properties of materials such as different types of ferrites and characterization of samples by X-ray and electron microscopic techniques are among other topics of research. A joint project has been recently started on the preparation of superconducting as well as dielectric thin films and the measurement of their magnetic and transport properties .

Research Facilities

The range of equipment available in the areas of interest at the department is varied, the most important of which are as follows:

- AC-Susceptometer & AC-Resistivity measurement

- 1.2T Electromagnet (B. Mn 90/30 C5)

- Programmable tube and cubic furnaces

- X-Ray generator

- Debye-Scherre and Laue cameras

- Scanning Electron Microscope

- X-ray Differactometer

UNDERGRADUATE PROGRAM

Undergraduate students must take 131 Credits as follows :

a) 20 credits from General Courses.

b) 33 credits of basic courses (Mathematics , Physics , Chemistry and Computer Sciences, numbered 19101 & 2 , 19201 , 20114 & 7 , 20123 & 6 , 8 , 9 , 21101 & 2, 18150 respectively).

c) 66 credits as physics courses (Classical Mechanics, Electromagnetism, Modern Physics, Thermodynamics, Statistical Mechanics, Mathematical Physics, Quantum Mechanics, Optics, Solid State Physics, Nuclear Physics , Special Relativity, Computational Physics , Elementary Particle Physics , Reactor Physics, Electronics, Particle Accelerators , Superconductivity, Crystallography, Semiconducting devices, Radiation Detectors, ...), in courses numbered 20210-20460, respectively.

d) Optional Courses (12 Credits)

Physics students may take 12 credits in other fields of physics or from other departments.

UNDERGRADUATE COURSES

Curriculum for the Degree of Bachelor of Science (B.Sc) in Physics,

Major Solid State Physics / Nuclear Physics

COURSE CODE COURSE TITLE CREDITS

Semester I (Fall)

19101 Calculus I 4

20114 Basic Physics I 4

21101 General Chemistry I 3

20117 Basic Physics Lab. I 1

21102 General Chemistry Lab. I 1

- General Courses 4

Semester II (Spring)

19102 Calculus II 4

20123 Basic Physics II 4

20128 Basic Physics III 4

20126 Basic Physics Lab. II 1

20129 Basic Physics Lab. III 1

- General Courses 3

Semester III (Fall)

20223 Analytical Mechanics I 3

20229 Modern Physics 4

19201 Differential Equations 3

17230 Electronics 4

20231 Physics Modern Lab. 1

- General Courses 2

Semester IV (Spring)

20217 Math. Physics I 3

20311 Analytical Mechanics II 3

20230 Thermodynamics 4

18150 Computer Science and Programming 3

20221 Electronics Lab. 1

20214 English Language for Physics Students 1

- General Courses 1

Semester V (Fall)

20247 Math. Physics II 3

20314 Quantum Mechanics I 3

20293 Electromagnetism I 3

20312 Statistical Mechanics 3

24101 Workshop 1

- General Courses 4

Semester VI (Spring)

20321 Quantum Mechanics II 3

20319 Electromagnetism II 3

20315 Nuclear Physics I 3

20322 Solid State Physics I 3

20316 Nuclear Physics Lab. 1

- General Courses 4

Semester VII (Fall)

20413 Modern Optics 3

20415 Relativity 3

20414 Optics Lab. 1

20441 Crystallography 3

20442 Semiconductor Devices 3

20421 Reactor Physics I 3

20455 Nuclear Physics II 3

- General Courses 2

Semester VIII (Spring)

20465 Elementary Particles 3

20457 Computational Physics 3

20447 Solid Stale Physics II 3

20463 Superconductivity 3

17323 Electronics II 3

20425 Reactor Physics II 3

20456 Radiation Detectors 3

Elective Courses

20467 Vacuum Technology 3

20427 Group Theory 3

20327 Mathematical Physics III 3

20232 Waves 3

20210 History of Science 2

20458 Particle Accelerators 2

20320 Astrophysics 3

20422 Nuclear Radiation Protection 2

UNDERGRADUATE COURSE DESCRIPTIONS

20008 General Physics (for Agriculture students) 2 Cr. Motion, fluid mechanics,
the laws of gases, temperature, heat transfer, light properties, spectroscopy, radioactivity.

20009 General Physics Lab. (for Agriculture students) 1 Cr. Measurement of density, surface tension, heat conduction, specific heat, calorimetry, the thermal expansion.

20101 General Physics (Mechanics) 2 Cr. Vectors, motion in one and two dimensions, dynamics of a particle, work and energy, conservation of linear momentum, collisions, rotational kinematics and dynamics, oscillations.

20103 General Physics (Heat) 2 Cr. Fluid mechanics, heat and first law of thermodynamics, kinetic theory of gases, entropy and second law of thermodynamics.

20114 Basic Physics I 4 Cr. Vectors, motion in one and two dimensions, dynamics of a particle, work and energy, conservation of linear momentum, collisions, rotational dynamics, fluid mechanics, heat and the first law of thermodynamics, kinetic theory of gases, entropy and second law of thermodynamics.

20110 Basic Physics II 4 Cr. Coulomb's law, electric field, Gauss law, electric potential, capacitors, electromotive force and circuits, magnetic field, Amper's law, Faraday's law, wave in elastic media, sound waves, electromagnetic waves. geometrical optics, interference, diffraction. Prerequisite : Basic Physics I 20109

20111 Gen. Physics Lab. (Heat) 1 Cr. Thermal expansion, heat conduction, specific heat, calorimetry, the mechanical equivalent of heat, surface tension.

20115 Basic Physics II 4 Cr. Charge and matter, electric field, Gauss' law, electrostatic potential, capacitors and dielectrics, electric current and resistance, EMF and circuits, magnetic fields, Ampere's law, induction, Faraday's law, magnetic properties of matter, electromagnetic oscillations, alternative currents, maxwell's equations, electromagnetic waves. Prerequisite : Basic Physics I 20114

20117 Basic Physics Lab. (Mechanics) 1 Cr. Measurements of length, angle, etc, force constant of spring and determination of g, coefficients of friction, verification of Newton's laws, elastic and inelastic collisions, conservation of angular momentum, moment of inertia.

20126 Basic Physics Lab. (Electricity) 1 Cr. Measurement of resistivity, verification of Ohm's and Kirchhoff's laws, study of capacitors and EMF, hysteresis curves, R-C and R-L circuits, application of oscilloscope, Biot and Savart's law.

20128 Basic Physic III 4 Cr. Waves in elastic media, sound waves, temperature, heat and the first law of thermodynamics, kinetic theory of gases, entropy and the second law of thermodynamics, electromagnetic waves, geometrical optics, interference, diffraction. Prerequisite : Basic Physics I 20114

20129 Basic Physics Lab. (Waves, Heat and Light) 1 Cr. Sound waves and vibrating strings, standing waves, geometrical optics, reflection and refraction laws. Concave and convex mirrors and lenses. Spectroscope and microscope, thermal expansion, heat conduction, specific heat, calorimetry, the mechanical equivalent of heat. Prerequisite : Basic Physics III 20128

20203 General Physics (Electricity and Magnetism) 2 Cr. Coulomb's law, electric field, Gauss' law, electric potential, capacitors, electromotive force and circuits, magnetic field, Ampere's law, Faraday's law.

Prerequisite : General Physics (Mechanics) 20101

20204 General Physics (Waves) 2 Cr. Oscillations, waves in elastic media, sound waves, electromagnetic waves, geometrical optics, interference, diffraction, Prerequisite : General Physics 20203

20210 History of Science 2 Cr. Physics in ancient times, physics in the middle ages (special contribution from moslem's world ), physics after nineteen century, modern physics.

20211 General Physic Lab. (Electricity) 1 Cr. Measurement of resistivity, verification of Ohm's and Kirchhoff's laws, study of capacitors, hysteresis curves, R-C and R-L circuits, oscilloscope, Biot and Savart's law.

20214 English Language for Physics Students 2 Cr. Reading and analysis of some physics texts in english, writing short physics articles in english. Prerequisite : 25510

20217 Mathematical Physics I 3 Cr. Vector Analysis, coordinate systems, tensor analysis, discrete groups and continuous groups, groups representation, infinite series, second order differential equations, linear spaces, matrix operations and determinants. Prerequisite s: Calculus II 19102, Differential equation 19201

20219 Electronics 4 Cr. Semiconductors, diode circuits, rectifiers, transistor characteristics, transistor as an amplifier, transistor configurations, Thevenin's and Norton's theorems, oscillator circuits. Prerequisite : Basic Physics II 20123

20221 Electronics Lab. 1 Cr. Introducing the electronic instruments, oscil-
loscope, signal generators, rectifiers, low, high and band pass filters, semiconductor diodes, construction of power sources, the transistor, amplifier with negative and positive feed- back.

Prerequisite : Basic Physics Lab (Electricity) 20126

20223 Analytical Mechanics I 3 Cr. Newtonian mechanics, motion of particles in one, two and three dimensions, motion of a system particles, rigid bodies motion. Prerequisite : Basic Physics I 20114

20229 Modern Physics 4 Cr. Limitation of classical physics, relativistic kinematics ( space and time), relativistic dynamics (momentum and energy), wave aspects of material particles, particle aspects of electromagnetic radiation, the structure of hydrogen atom, many- electron atoms.

Prerequisite s : Basic Physics II 20123; Basic Physics III 20128

20230 Thermodynamics 4 Cr. Thermodynamic systems and ideal gas, first and second laws of thermodynamics, reversibility and irreversibility, Carnot's cycle, entropy, properties of pure substances and phase changes, Maxwell-Boltzmann and Fermi-Dirac statistics. Prerequisite : Basic Physics III 20128

20231 Physics Modern Lab. 1 Cr. Michelson - Morly Experiment, Franck-Hertz x-ray absorption, Zeeman effect, specific charge of the electron, Stern-Gerlach's experiment, compton effect, photoelectric effect, Planck's constant, black body radiation, Balmer series of Hydrogen line spectrum, Milikan experiment.

20232 Waves 3 Cr. Simple harmonic vibrating systems, normal modes of oscillating systems with finite and infinite degrees of freedom, forced oscillations, traveling waves, boundary conditions, reflection and refraction, wave packets, phase and group velocities. Prerequisite : Basic Physics II 20123

20247 Mathematical Physics II 3 Cr. Complex functions: analytic properties, conformal mapping, calculus of residues, Sturm-Liouville theory, linear space and operators, orthogonal functions, Fourier Series, calculus of variation.

Prerequisite : Mathematical Physics I 20217

20293 Electromagnetism I 3 Cr. Review of differential and integral calculus, electrostatic, Coulomb's and Gauss' laws, Poison and Laplace equations, boundary value equations, dielectrics, polarizations, magnetic fields, Biot-savart's law, Amper's law, vector potential. Prerequisite : Basic Physics II 20123

20303 Electronic Physics 3 Cr. Energy bands, carrier concentration, carrier transport phenomena, p-n junctions, bipolar devices, unipolar devices, microwave devices, photonic devices. Prerequisite : 17222

20311 Analytical Mechanics II 3 Cr. Statics, gravitation, moving coordinates, Lagrange's Eqs, Hamilton's Eqs, inertia and stress tensors, rotation of rigid bodies, Euler's Eqs, small vibration. Prerequisite : Analytical Mechanics I 20223

20312 Statistical Mechanics 3 Cr. Entropy, temperature, Boltzman distribution function, ideal gas, fermion gas, boson gas, heat and work, phase transitions, kinetic theory of gases. Prerequisite : Thermodynamics 20230

20314 Quantum Mechanics I 3 Cr. The limits of classical physics, wave packet and uncertainty relations, schrodinger equation, general structure of quantum mechanics, angular momentum, the radial schrodinger equation.

Prerequisites : Modern Physics 20229; Analytical Mechanics II 20311

20315 Nuclear Physics I 3 Cr. Binding energy, liquid drop model, semi- empirical mass formula, shell model, energy levels of nuclides, charge symmetry and charge independence of nuclear forces, interactions of nuclear radiations with matter, interactions of charged particles with matter, interactions of neutron with matter, radioactive decays. Prerequisite : Quantum Mechanics I 20314

20316 Nuclear Physics Lab. 1 Cr. Measurement techniques with G.M. counters, measurement of resolution time of G.M. counters, statistical distribution of nuclear radiations, verification of the inverse square law, Gamma ray absorption, Gamma spectroscopy. Prerequisite : Nuclear Physics I 20315

20317 Basic Computer Science and Programming 3 Cr. Computer organi- zation, machine language, flowcharting, algorithms, data structure, a programming language such as FORTRAN.

20319 Electromagnetism II 3 Cr. Magnetization, magnetic dipoles, electromotive force, induction, Maxwell's equations, gauge transformation, wave equations, radiations, relativistic electrodynamics.

Prerequisite : Electromagnetism 20293

20320 Astrophysics 3 Cr. The sun, double stars, the birth of stars, star clusters, evolution and death of old stars, the milky way galaxy, galaxies, structure and evolution of the universe, the big bang.

Prerequisite : Analytical Mechanics I 20223

20321 Quantum Mechanics II 3 Cr. Hydrogen atom, operator spin and angular momentum addition, perturbation theory, real hydrogen atom, helium atom, structure of atoms, radiation of atom, scattering theory.

Prerequisite : Quantum Mechanics I 20314

20322 Solid State Physics I 3 Cr. Crystal structures, scattering, reciprocal space, brillouan zones, lattice dynamics, thermal properties of solids, free electron in metals, band structure.

Prerequisites : Statistical Mechanics 20312, Quantum Mechanics I 20314

20327 Mathematical Physics III 3 Cr. Gamma function, Bessel functions, Legendre functions, special functions, integral transforms, integral equations. Prerequisite : Mathematical Physics II 20247.

20413 Modern Optics 3 Cr. Maxwell's equations in scaler and vector forms, coherence and interference, Fraunhoffer and Fresnel diffractions, propagation of light in solid media.

Prerequisites : Electromagnetism 20293; Basic Physics III 20128

20414 Optics Lab. 1 Cr. Interference and diffraction by lasers, linear, circular and elliptical polarizations, interference, diffraction gratings, dispersion, optical activity.

20415 Relativity 3 Cr. Lorentz transformation and its consequence, relativistic kinematic and dynamics, Minkovskian geometry, four-vectors and tensors, Lorentz group, general relativity.

Prerequisite : Modern Physics 20229; Analytical Mechanics I 20223

20421 Reactor Physics I 3 Cr. Components of nuclear reactors, classification of reactors, decay of radioactive nuclei, neutron sources, neutron interactions, neutron diffusion theory. Prerequisite : Nuclear Physics I 20315

20422 Nuclear Radiation Protection 2 Cr. Radiation dosimetry, biological effects of radiation, radiation protection guides, external radiation protection, internal radiation protection. Prerequisite : Nuclear Physics I 20315

20425 Reactor Physics II 3 Cr. The time-dependent reactor, reactor kinetics, control rods, temperature effects on reactivity, fission product poisoning, heat removal from nuclear reactors, heat generation in reactors, nuclear safety and environmental impact. Prerequisite : Reactor Physics I 20421

20427 Group Theory 3 Cr. Basic group theory, group representations, continuous groups, weight diagrams, Young tableaux, selected examples in physics. Prerequisites : Mathematical Physics II 20247; Solid State Physics I 20322

20441 Crystallography 3 Cr. Geometry of crystals, stereographic projection, properties of x-rays, diffraction, experimental methods, orientation and quality of single crystals, determination of space groups, determination of crystal structure. Prerequisite : Solid State Physics I 20322

20442 Physics of Semiconductor Devices I 3 Cr. Energy bands, carrier concentration, carrier transport phenomena, p-n junctions, bipolar devices, unipolar devices, microwave devices, photonic devices.

Prerequisite : Solid State Physics I 20322

20447 Solid State Physics II 3 Cr. Semiconductor solids, Fermi surface in metals, superconductivity, dielectric and ferroelectrics, magnetism, dislocations, optical properties of solids, plasmas, polarons.

Prerequisite : Solid State Physics I 20322

20455 Nuclear Physics II 3 Cr. Cross-section, compound nuclear and direct reaction, optical model, nuclear fission, two nucleons systems, deuteron, nucleon- nucleon scattering, Yuakawa theory, strong and weak forces.

Prerequisite : Nuclear Physics I 20315

20456 Radiation Detectors 3 Cr. Interaction of radiation with matter, counting statistics and error prediction, gas detectors, scintillation detectors, semiconductor detectors, neutron detectors, spark chambers, Cerekov detectors, single and multi - channel pulse analyzors. Prerequisite : Nuclear Physics I 20315

20457 Computational Physics 3 Cr. Advanced aspects of FORTRAN prog- ramming, numerical methods, simultaneous equations, numerical solution of differential equations, matrices, Monte Carlo and molecular dynamics simulation. Prerequisites : Thermodynamics 20230, Computer Programming 18150

20458 Particle Accelerators 2 Cr. Particle accelerators as a tool for nuclear research, the static accelerators, Van de Graft accelerators, Tandem accelerators, linear accelerators, the betatron, the cyclotron, the synchrocyclotron, the proton synchrotron, the electron synchrotron. Prerequisite : Nuclear Physics I 20315

20463 Superconductivity and its Applications 3 Cr. Superconductivity and superfluidity properties, Meissner effect, thermodynamics properties of new phase, Ginzburg - Landau phenomonlogical theory, BCS theory and pairing mechanism, tunnelling and Josephson's effect, general properties of high temperature superconductivity. Prerequisites : Solid State Physics II 20447

20465 Elementary Particles 3 Cr. Some basic concepts, relativistic wave equations, Quarks and leptons symmetries, Feynman diagrams, gauge theories, introduction to QED, QCD and weak interactions.

Prerequisite : Quantum Mechanics II 20321

20467 Vacuum Technology 3 Cr. Vacuum pumps (mechanical pump, ion pump, sorption pump, diffusion pump, dray pump, roots pump), cold trap, vacuum gauge (Mc lead gauge, thermocouple gauge, thermistor gauge, ionization gauge), leak detectors. Prerequisite : Solid State Physics I 20322

GRADUATE PROGRAM

In M.Sc. program, every student will take 32 credits as follows:

a) 15 credits as compulsory courses (Electrodynamics, Quantum Mechanics I & II, Statistical Mechanics I, and Computational Physics or Advanced Laboratory) 20835, 20823 & 4 , 20851 and 20814 or 20815.

b) 6 credits as specialized fields courses (Solid state Physics I & II , Nuclear Physics I & II or Particle Physics I & II)

c) 3 credits as an optional course (Classical Mechanics or graduate courses from other specialized fields).

d) Physics Seminar (2 Credits), 20882.

e) M.Sc. Thesis (6 Credits), 20881.

The Ph.D. Program has already started in academic year 1998. In that, every Ph.D. student will take 24 credits as, Advanced Solid State Physics ê, Many Body Theory, Advanced Statistical Mechanics é, Advanced Elementary Particle Physics é, ... , and 20 credits as Ph.D Thesis.

The following table is a list of academic staff and their research interests.

Surname & Name Field of Research Interest

AKBARZADEH Hadi Computational Condensed Matter

ALAMATSAZ M. Hassan Nuclear and Particle Physics

AMINI S. Mohammad Molecular Dynamics Simulation of Materials

(liquids, glasses, solids and melting)

BABAEI BROJENY Ali Akbar Theoretical Condensed Matter Physics,

Superconductivity

BAREZI Mehdi Nuclear Physics

HAGHIGHAT Mansour Particle Physics, QED

KALANTARI S. Zafar Allah Nuclear Physics, Nuclear Fusion

MIRZA Behrouz Elementary Particles, Strings, Membranes

PARVAZIAN Akbar Nuclear Physics

SAFA Mehdi Solid State Physics (Magnetism, X-ray Differaction

and Superconductivity)

SALAMATI Hadi Solid State Physics, Low Temp. Physics,

Superconductivity

SHIRANI Ahmad Nuclear of Particle Physics

SHIRZAD Ahmad Particle Physics, Mathematical Physics

GRADUATE COURSES

Curriculum for the Degree of Master of Science M.Sc in Physics,

Major Solid State Physics

COURSE CODE COURSE TITLE CREDITS

20861 Advanced Solid State Physics I 3

20862 Advanced Solid State Physics II 3

20863 Advanced Solid State Physics Lab. I 2

20864 Advanced Solid State Physics Lab. II 2

20865 Magnetic Properties of Materials 3

20866 Advanced Superconductivity 3

20867 Physics of Semiconductors 3

20868 Physics of Manybody Systems I 3

20869 Quantum Theory of Solids 3

20860 Special Topics 3

Note : Only 6 credits of the above courses are necessary in M.Sc. program.

Curriculum for the Degree of Master of Science M.Sc. in Physics,

Major Nuclear Physics

20871 Advanced Nuclear Physics I 3

20878 Advanced Nuclear Physics II 3

20879 Special Topics 3

20872 Advanced Nuclear Physics Lab. I 2

20873 Advanced Nuclear Physics Lab. II 2

20874 Advanced Reactor Physics 3

20875 Nuclear Chemistry 3

20876 Nuclear Structure 3

Note : Only 6 credits of the above courses are necessary in M.Sc. program.

Curriculum for the Degree of Master of Science M.Sc. in Physics,

Major Particle Physics

20897 Fundamentals of Particle Physics 3

20825 Advanced Quantum Mechanics III 3

20899 Advanced Particle Physics I 3

20893 Lie Groups in Particle Physics 3

20894 Special Topics 3

Note : Only 6 credits of the above courses are necessary in M.Sc. program.

GRADUATE COURSE DESCRIPTIONS

20811 Classical Mechanics 3 Cr. A Summary of Newtonian mechanics, principle of least action, Lagrangian and Hamiltonian formulations, canonical transformations, Poison's brackets, Hamilton-Jacobi theory, introduction to classical field theory.

20823 Advanced Quantum Mechanics I 3 Cr. Fundamental concepts: Kets. bras, and operators, measurements, observables and the uncertainty relations, quantum dynamics: the Schrodinger, Heisenberg and interaction pictures, propagators and Feynman path integrals, theory of angular momentum: Addition of angular momentum, symmetry in quantum mechanics.

20824 Advanced Quantum Mechanics II 3 Cr. Approximation methods: perturbation theory, hydrogen like atoms, variational methods, energy shift and decay width, identical particles: permutation symmetry, 2 electron system, young tableaux, scattering theory: Born and Eikonal approximation, method of partial waves, identical particles and scattering and coulomb scattering.

Prerequisite : Advanced Quantum Mechanics 20823

20835 Electrodynamics 4 Cr. Methods of solving electrostatic boundary value problems, Green functions, physics of dielectric media, magnetostatics, dynamics of electromagnetic fields, covariant formulation of electrodynamics, interactions of relativistic charged particles and fields.

20851 Advanced Statistical Mechanics 3 Cr. The statistical basis of thermo- dynamics, elements of ensemble theory, the canonical ensemble, the grand canonical ensemble, formulation of quantum statistics, the theory of simple gases, ideal Bose systems, ideal Fermi systems.

20861 Advanced Solid State I 3 Cr. Free electron models, crystal structure, electron in a weak periodic potential, methods for calculating band structures, semiclassical models of electron dynamics, fermi surfaces, pseudopotential.

20862 Advanced Solid State II 3 Cr. Beyond the independent electron approx, hartree approx, hartree Fock approx, exchange correlation, surface effects, cohesive energy, Lattice dynamics, magnetism.

Prerequisite : Advanced Solid State I 20861

20871 Advanced Nuclear Physics I 3 Cr. Nuclear reactions, reaction mechanisms, nuclear models, shell model, collective model.

20878 Advanced Nuclear Physics II 3 Cr. Nuclear orientation, nuclear forces, fundamental particles properties, classification, the weak and strong interactions, miscellaneous topics. Prerequisite : Advanced Nuclear Physics I 20871

20897 Elementary Particle Physics 3 Cr. Introduction and overview, classi- fication of particles, particle accelerators and detectors, invariance principles and conservation laws, hadron-hadron interactions, static quark model of hadrons, weak interactions, quark - quark interactions, the proton model and QCD. Prerequisite : Advanced Quantum Mechanics I 20823