Course curriculum

  • 1

    Differential Equations

  • 2

    High Order Differential Equations

    • Introduction to HODE & Complimentary Function

    • Numerical on Complimentary Functions_1

    • Numerical on Complimentary Functions_2

    • Numerical on Complimentary Functions_3

    • Introduction to Particular Integral

    • Particular Integral_Exponential

    • Case failure in Particular Integral

    • Numerical on Case 1--- Exponential

    • Numerical on Case 2-- Trigonometry with Example

    • Numerical on Case 2-- Trigonometry_1

    • Numerical on Case 2-- Trigonometry_2

    • Case 3-- x^m (polynomial)

    • Numerical on Case 3-- x^m (Polynomial)_1

    • Numerical on Case 3-- x^m (Polynomial)_2

    • Numerical on Case 3-- x^m (Polynomial)_3

    • Numerical on Case 3-- x^m (Polynomial)_4

    • Case 4-- Product of Exponential & F(n) of x

    • Numerical of Case 4-- Product of Exponential & F(n) of x_1

    • Case 5-- Product of x & F(n)of x

    • Numerical on Case 5-- Product of x & F(n)of x

    • Variation on Parameters

    • Numerical on Variation of Parameters_1

    • Numerical on Variation of Parameters_2

  • 3

    Beta & Gamma Functions

    • Introduction to Beta & Gamma Function

    • Numericals on Gamma Notation

    • Numericals on Gamma Integrals

    • Numerical on Gamma & Log example

    • Product of two Gamma Functions

    • Introduction to Beta Function with Trigonometry type

    • Trigonometry type with Substitution

    • Beta Function with Limit 0-1

    • ... Cont of Beta Function with Limit 0-1

    • Beta Function with Limit 0-2

    • Proof of Property of Beta function 0 to ∞

    • Numericals on Property of Beta Function 0 to ∞

    • Find "n"

    • Property of Beta Functions

    • ... Cont of Property of Beta Functions

    • Numerical on Beta Function

    • Proof of Duplication Formula

    • Numerical on Duplication Formula

  • 4

    Differentiation under Integral Sign

    • Intro of DUIS With Numerical

    • DUIS with 2 parameter

    • DUIS with 2 Parameters with Exponential

    • DUIS with 1 parameters

    • DUIS with 2 Parameters & Unique Points

    • DUIS with 3 parameters

    • 12std type & DUIS

    • ... Cont of 12std type & DUIS

    • Two Times DUIS in 1 numerical

  • 5

    Double Integration

    • Revision OF Integration

    • Type1: Direct Method with Numerical 1

    • Type 1: Direct Method with Numerical 2

    • Type 1: Direct Method with Numerical 3 & 4

    • Type 1: Direct Method with Numerical 5

    • Integration over a region

    • Type 2: 1st Numerical on Type 2

    • Type 2: 2nd Numerical

    • Type 2: 3rd Numerical

    • Type 3: Introduction to Change the order of Integration

    • Type 3: Numerical 1

    • Type 3: Numerical

  • 6

    Triple Integration

    • Type 1-Q1

    • Type 1-Q2

    • Type 1-Q3

    • Intro to Type 2

    • ... contd Intro to Type 2

    • Numerical on Type 2

    • Intro to Region of Sphere

    • Sphere --Q1

    • Sphere--Q2

    • Sphere Q--3 (Ellipsoid)