Ramay Mathematical Society

Topology

Vector and tensor Analysis (gradient, divergence and curl) Lecture # 12 Relation in Del Operator

Euclidean Space, Determinent by Reduction, n- Space, Dot product, Distance n Norm of Vectors Lec.#11

Vector Space, Definition and Examples, Cross Product, Orthogonality with Dot || Linear Algebra Lec14

Kernel of Homomorphisim, Monomorphisim, Epimorphisim and some theorems of Group Theory Math-III

Gradient, Divergence and curl in Vector Analysis Lecture # 11 Differential Geometry, Mechanics

Vector Differentiation, Ordinary and Partial Derivatives of Vectors || Vector and Tensor Ana. Lec.#9

Vector Space, Zero Vector Space, Sequence, Usual vector space Examples and Theorems Linear Algebra

Graph Theory

Automorphism, Monomorphism, Kernel, Theorems and Examples Lecture#13 Math-III

Homorphisim or Groups, Normal Groups and Quotient Groups with examples of Homorphisim Math.-III

Linear Algebra Lec. # 5

Vector Differentiation, P&O, Differential Geometry, Mechanics with Vector Analysis LECTURE#10

Group, Subgroup, Examples and Some Preliminary Lemmas (Lec.#7) Mathematics-III (Advance Algebra)

Subgroup, Normal Subgroup, Order of an Element in Group Lec.#8 Math-III (Advance Algebra)

MCQs type Revision of Lectures 1-15 Math-III (Advance Algebra) Multiple Choice Questions Group, Ring

Counting Principle, Normal Subgroup, Cosets, Euler Phi Function and order of and element Lec.#10 Mat

Revision of Lecture # 1-15 Multiple Choice Questions Mathematics - III (Advance Algebra)

Permutation Group,# Caley's Theorem,

Euclidian Space, Orthogonality, Cross Product, Norm and distance between two vectors Linear Algebra

Normal Subgroup, Congruent Element, Euler Phi Function Lec.# 9 Mathematics-III (Advance Algebra)

Ring Theory, Definitions and examples Counting Principles, Theorems Lec.15

Topology

Detirminent By Row Reduction, Elimination Method, Properties of Detirminent Lec.#7,8 (Linear Algebra

Properties of Detirminent , of Elementary Matrix, Proportional Row or Columns Matrix Lec.# 10 Linear

Solution of linear System by Inverse Method and Determinant by cofactor also consistency Lec.#5,6

Mathematics - III (Advance Algebra) Basic Definitions of Group , Subgroup and Their Lemmas

Introduction to Vector and Tensor Analysis