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  Courses 

 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


 Foundations 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


 Algebra(SPRING_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


 Math. (II)(SPRING_2017)

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


 Foundations of Combinatorics(FALL_2016)

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
  • Graph coloring and chromatic polynomial
  • 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


 Foundations of Combinatorics(FALL_2016)

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
  • Graph coloring and chromatic polynomial
  • 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_2016)

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


 Algebra(SPRING_2016)

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


 Math. (II)(SPRING_2016)

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


 
 
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