Maths SLM

Syllabus (PDF 964 KB)

Semester I	Title	Video Lecture
Unit 1	Matrices	Some Types of Matrices,  Rank of Matrix, Finiyely generated Space, Dimention of Space, Rank of Matrix, Solution of Non Homogeneous Linear Equation
Unit 2	Trigonometry
Unit 3	Differential Calculus	Types Of Discontinuities And Intermediate Value Theorem

Semester II	Title	Video Lecture
Unit 1	Integral Calculus	Integral Calculus l, Integral Calculus ll
Unit 2	Vector Analysis

 

Semester III	Title	Video Lecture
Unit 1	Group Theory	Group Theory Part 1,  Group Theory Part 2, Cyclic Group, Homomorphism, Cyclic groups – Definition & Example , Coset Decomposition, Properties of Cyclic Group, Classification of Subgroups of Cyclic Groups, Isomorphism and Cayley`s Theorem, Lagrange`s Theorem and its Consequences,   Permutation Group, Properties of a Normal Group, Normalizer and Centralizer, Properties of Isomorphisms, Classification of Subgroups of Cyclic Groups,
Unit 2	Analytical Geometry

 

Semester IV	Title	Video Lecture
Unit 1	Ordinary Differential Equations	Reducible homogeneous differential equations, Linear Differential Equation Of First Order But Not Of First Degree
Unit 2	Ring Theory

 

Semester V	Title	Video Lecture
Unit 1	Real Analysis	Sequence of Measurable Functions
Unit 2	Functions of several variables and Partial Differential Equations

 

Semester VI	Title	Video Lecture
Unit 1	Complex Analysis
Unit 2	Mechanics