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Module 3

Course Structure

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Chapter 1

Introduction - sec 1.1

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Composition & Decomposition of functions

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Inverse functions part 1

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Inverse functions part 2

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CH2: Limits and Derivatives

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Rules of limits

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Limits at infinity 1

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Limits at infinity 2

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The Intermediate Value Theorem

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CH3: Differentiation Rule

Introduction to Differentiation

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Differentiation Rules part 1

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Differentiation Rules part 2

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Higher order derivatives

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Limits and Derivatives

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Implicit Differentiation

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Tangent line & Normal line

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Tangent line & Normal line 2

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Derivative of inverse functions

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Derivatives of inverse trigonometric functions

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Linear Approximation 1

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Linear Approximation 2

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Hyperbolic Functions 1

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Hyperbolic Functions 2

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CH4: Application of differentiation

Maximum and minimum values 1

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Maximum and minimum values 2

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Absolute maximum and minimum

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Mean Value Theorem

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Increasing and Decreasing 1

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Increasing and Decreasing 2

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Graph of f(x)&f'(x)

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CH5: Integrals

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Definite Integral

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Indefinit Integral

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Fundamental Theorem of Calculus

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The Substitution Rule 1

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The Substitution Rule 2

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