## Course curriculum

• 1

• 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)