    Courses Finite Groups(SPRING_2019) Aims: to know the structure of groups Syllabus: action of groups Sylow- subgrous and its theorems direct product of groups semi direct product of groups solvable and nilpotent groups transfer homomorphism Text Book: theory of groups, alireza jamali Theory of finite groups, Isaacs Math. (II)(SPRING_2019) Aims: Introduction to Deferential and Integral of multivariate functions Syllabus: Curves and vector functions Multivariate functions and partial derivative Application of partial derivative multiple Integral Vector field Vector analyzes linear algebra Text Book: Calculuse a complete course, Rabert. A. Adams Ring & Module Theory(SPRING_2019) Aims: Galois Theory and its application too other field Syllabus: Polynomial ring Field Extension Galois Correspondence Application of Galois Theory in other math field Text Book: 1. Galois Theory, Ian Stewart. Abstract Algebra, John. B. Feraleigh. Introduction to the Galois Correspondence. Maureen H. Fenrick Foundation of Combinatorics(FALL_2018) Aims: Foundamental and Basic concept of combinatorial mathematics Syllabus: Counting concept such as selection,arrangement and binomial coefficient Inclusion and exclusion principle Generating function Recurrence relation Definition of graphs, Cycle, Path, complete graph, graph isomorphism and vertex degree Eulerian trail Tree, bipartite graph, planer graph Hamiltonian path and cycle Matrices and its combinatorial properties Latin square Magic square and System of distinct representative and Philip Hall theorem Block design and Steiner triple System Hadamard matrices Text Book: I. Anderson, A first course in combinatorial mathematics R.P. Grimaldi, Discrete and combinatorial mathemat,ics, an applied introduction Introduction to combinatorial theory, R,C. Bose and B. Manvel Foundation of Combinatorics(FALL_2018) Aims: Foundamental and Basic concept of combinatorial mathematics Syllabus: Counting concept such as selection,arrangement and binomial coefficient Inclusion and exclusion principle Generating function Recurrence relation Definition of graphs, Cycle, Path, complete graph, graph isomorphism and vertex degree Eulerian trail Tree, bipartite graph, planer graph Hamiltonian path and cycle Matrices and its combinatorial properties Latin square Magic square and System of distinct representative and Philip Hall theorem Block design and Steiner triple System Hadamard matrices Text Book: I. Anderson, A first course in combinatorial mathematics R.P. Grimaldi, Discrete and combinatorial mathemat,ics, an applied introduction Introduction to combinatorial theory, R,C. Bose and B. Manvel Math. (I)(FALL_2018) Aims: Introduction to complex numbers differential and Integral Calculus for one variable functions Syllabus: Complex numbers Limit and Continuity Differentition transcendental functions Integration Integrations Technique Application of Integration Sequence and series and Power series Text Book: Calculus: A complete Course by Adams Basic Number Theory(SPRING_2018) Aims: knowing elementry results in number theory Syllabus: divisibility and g.c.d prime numbers congruence primitive root Text Book: Finite Groups(SPRING_2018) Aims: to know the structure of groups Syllabus: action of groups Sylow- subgrous and its theorems direct product of groups semi direct product of groups solvable and nilpotent groups transfer homomorphism Text Book: theory of groups, alireza jamali Theory of finite groups, Isaacs Foundation of Combinatorics(SPRING_2018) Aims: Foundamental and Basic concept of combinatorial mathematics Syllabus: Counting concept such as selection,arrangement and binomial coefficient Inclusion and exclusion principle Generating function Recurrence relation Definition of graphs, Cycle, Path, complete graph, graph isomorphism and vertex degree Eulerian trail Tree, bipartite graph, planer graph Hamiltonian path and cycle Matrices and its combinatorial properties Latin square Magic square and System of distinct representative and Philip Hall theorem Block design and Steiner triple System Hadamard matrices Text Book: I. Anderson, A first course in combinatorial mathematics R.P. Grimaldi, Discrete and combinatorial mathemat,ics, an applied introduction Introduction to combinatorial theory, R,C. Bose and B. Manvel Algebra(FALL_2017) Aims: studying Galois theory and constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge Syllabus: Action of groups Sylow Theorems Solvable groups and nilpotent groups and Normal series polynomial rings Unique factorization domain Irreducible tests Field extension Drawing by ruler and compass Splitting Field Galois correspondence Text Book: A coursein algebra, Hungerfurd Foundation of Combinatorics(FALL_2017) Aims: Foundamental and Basic concept of combinatorial mathematics Syllabus: Counting concept such as selection,arrangement and binomial coefficient Inclusion and exclusion principle Generating function Recurrence relation Definition of graphs, Cycle, Path, complete graph, graph isomorphism and vertex degree Eulerian trail Tree, bipartite graph, planer graph Hamiltonian path and cycle Matrices and its combinatorial properties Latin square Magic square and System of distinct representative and Philip Hall theorem Block design and Steiner triple System Hadamard matrices Text Book: I. Anderson, A first course in combinatorial mathematics R.P. Grimaldi, Discrete and combinatorial mathemat,ics, an applied introduction Introduction to combinatorial theory, R,C. Bose and B. Manvel Math. (I)(FALL_2017) Aims: Introduction to complex numbers differential and Integral Calculus for one variable functions Syllabus: Complex numbers Limit and Continuity Differentition transcendental functions Integration Integrations Technique Application of Integration Sequence and series and Power series Text Book: Calculus: A complete Course by Adams Special Topics(FALL_2017) Aims: learning developed theorem on theory of finite groups Syllabus: Direct product of groups semi direct product nilpotent groups solvable groups transfer homomorphism theorems on split extension p-nilpotent and p-solvable groups action of a group on a group cohomology of a group Text Book: theory of finite groups 