M1 with Pre-requisites

Summary – Part 3
8 Topics
Linear Differential Equations: (Obvious & Unobvious Facts)
Exact Differential Equations: (Formula & Procedure)
Exact Differential Equations: (Obvious & Unobvious Facts)
Applications of 1st Order ODE: (Formula & Procedure)
Applications of 1st Order DE: (Obvious & Unobvious Facts)
Non-linear Differential Equations: (Formula & Procedure)
Non-linear Differential Equations: (Obvious & Unobvious Facts)
Non-linear Differential Equations: (Engineering Applications)
Concept Check
1 Quiz
Module-3: Ordinary Differential Equations (ODEs) of First Order | Quiz Questions
Pre-requisites - Elements of Integral Calculus
Pre-requisites – Elements of Integral Calculus – Part 1
1 Topic
Understanding Integration
Pre-requisites – Elements of Integral Calculus – Part 2
16 Topics
Concept of Integration – Elementary Example
Introducing the Learning matrix
Why is Integration an anti-differentiation process?
Useful Rules and Symbolisms of Integration – (Rule 1)
Useful Rules and Symbolisms of Integration – (Rule 2)
Introducing Standard Integrals
Deriving Integrals of Basic Functions
Deriving Specific Integrals – 1
Deriving Specific Integrals – 2
Deriving Specific Integrals – 3
Deriving Specific Integrals – 4
Deriving Specific Integrals – 5
Useful Rules of Definite Integrals – (Rule 1)
Useful Rules of Definite Integrals – (Rule 2)
Useful Rules of Definite Integrals – (Rule 3)
Useful Rules of Definite Integrals – (Rule 4)
Concept Check | Elements of Integral Calculus
1 Quiz
Elements of Integral Calculus | Quiz Questions
Module-4: Ordinary Differential Equations of higher order
Higher Order Differential Equations – (Practical Understanding of Complementary and Particular Solution)
1 Topic
Higher Order Differential Equations – (Practical Understanding of Complementary and Particular Solution)
Higher Order Differential Equations – (Understanding General solution for Complementary Functions (CF))
1 Topic
Higher Order Differential Equations – (Understanding General solution for Complementary Functions (CF))
Higher order Homogenous DE’s – Problems
7 Topics
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Unravelling the Examiner’s Mind
Higher Order Differential Equations – (Understanding General solution for Particular Integral (PI))
1 Topic
Higher Order Differential Equations – (Understanding General solution for Particular Integral (PI))
Higher order Non-homogenous DE’s – Problems
8 Topics
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Unravelling the Examiner’s Mind
Variation of Parameters: (Introduction to Variation of Parameters)
1 Topic
Variation of Parameters: (Introduction to Variation of Parameters)
Higher Order DE’s – Variation of Parameters – Problems
5 Topics
Problem 1
Problem 2
Problem 3
Problem 4
Unravelling the Examiner’s Mind
Cauchy and Legendre homogenous equations
1 Topic
Introduction
Cauchy and Legendre homogenous equations – Problems
8 Topics
Problem 1 (Cauchy DE)
Problem 2 (Cauchy DE)
Problem 3 (Cauchy DE)
Problem 4 (Cauchy DE)
Problem 5 – (Legendre DE)
Problem 6 – (Legendre DE)
Problem 7 – (Legendre DE)
Unravelling the Examiner’s Mind
Summary – Part 1
3 Topics
Higher Order Differential Equation: (Formula & Procedure)
Higher Order Differential Equation: (General Solutions for Complementary Functions (CF))
Higher Order Differential Equation: (General Solutions for Particular Integral (PI))
Summary – Part 2
1 Topic
Higher Order Differential Equation: (Recollecting Method of Variation of Parameters)
Summary – Part 3
2 Topics
Higher Order Differential Equation: (Obvious & Unobvious Facts)
Higher Order Differential Equation: (Engineering Applications)
Concept Check
1 Quiz
Module-4: Ordinary Differential Equations of higher order | Quiz Question
Prerequisites for Module-5: Linear Algebra
Types of Matrices
3 Topics
Types of Matrices – Part 1
Types of Matrices – Part 2
Types of Matrices – Part 3
Understanding Determinant
2 Topics
Determinent of a 3X3 matrix
Determinent of a 4X4 matrix
4 of 6
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Understanding Integration

M1 with Pre-requisites Pre-requisites – Elements of Integral Calculus – Part 1 Understanding Integration
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