IMQ10103 | Engineering Mathematics I
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IMQ10103
Curriculum
6 Sections
37 Lessons
Lifetime
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Chapter 1: Complex Numbers
3
1.1
Introduction of Complex Numbers
1.2
De Moivre’s Theorem
1.3
Finding Roots of Complex Number
Chapter 2: Matrices
14
2.1
Introduction of Matrices
2.2
Matrices Operations – Addition
2.3
Matrices Operations – Subtraction
2.4
Matrices Operations – Multiplication Part 1
2.5
Matrices Operations – Multiplication Part 2
2.6
Determinant of a Matrix – Part 1
2.7
Determinant of a Matrix – Part 2
2.8
Determinant of a Matrix – Part 3
2.9
Inverse of a Matrix – Part 1
2.10
Inverse of a Matrix – Part 2
2.11
Inverse of a Matrix – Part 3
2.12
Application of Matrices – Part 1
2.13
Application of Matrices – Part 2
2.14
Application of Matrices – Part 3
Chapter 3: Vector
4
3.1
Vector – Part 1
3.2
Vector – Part 2
3.3
Vector – Part 3
3.4
Vector – Part 4
Chapter 4: Differentiation & Integration
7
4.1
Differentiation (Chain Rule)
4.2
Differentiation (Product & Quotient Rules)
4.3
Differentiation (Parametric Equations)
4.4
Integration (Substitution)
4.5
Integration (by parts)
4.6
Integration (Partial Fraction)
4.7
Application
Chapter 5: Partial Derivative
8
5.1
Introduction of Partial Derivative
5.2
Partial Derivative as Total Differential
5.3
Partial Derivative as Small Changes & Increments
5.4
Implicit Differentiation using Partial Derivative
5.5
Jacobian Functions
5.6
Inverse Functions
5.7
Hessian Functions
5.8
Application of Partial Derivative (Stationary Point)
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