Calculus Work Book

Chapter 0 Preliminary Concept

0.1 Reading Material: Find Strength in Numbers

0.2 Inequality Statements

0.3 Properties of Linear Functions

0.4 Partial Fraction

0.5 Trigonometry

Chapter 1 Functions and Limit of Functions

1.1 Function

1.2 Domain and Range of a Function

1.3 Even and Odd Functions

1.4 Limit of a Function (Epsilon-Delta Definition)

1.5 One-Sided Limit of a Function

1.6 Squeeze Theorem

1.7 Continuity of a Function

1.8 Intermediate Value Theorem

Chapter 2 Derivatives

2.1 The Derivative of Algebraic Functions

2.2 Derivative of Trigonometric Functions

2.3 Velocity

2.4 Rates of Change in Economics and Sciences

2.5 Related Rates

2.6 Linear Approximations

2.7 Differentiating the Inverse Functions

2.8 Maximum and Minimum Values

2.9 Increasing and Decreasing Functions (Derivative Approaches)

2.10 Concavity and Second Derivative Test

2.11 Indeterminate Forms and L’Hopital’s Rule

2.12 Implicit Derivatives

2.13 The Mean Value Theorem

Chapter 3 Antiderivatives

3.1 Introduction

3.2 Sums and Sigma Notations (Riemann Sum)

3.3 The Fundamental Theorem of Calculus

3.4 Integration by Substitution and Integration by Parts

3.5 Formulas to Remember for This Section

3.6 Area Between Curves

3.7 Arc Length

3.8 Surface Area of Revolution

3.9 Volume of Solids

3.10 Convergence and Divergence of Sequence and Series

Chapter 4 Calculus in Real Life Situation

Workbook Answer Key