Introduction

Acknowledgements

Chapter 1 - Review of Selected Algebra Topics

1.1 Review Introduction

1.2 Writing Equations of Straight Lines

1.3 Factoring Methods

1.4 Solving Polynomial Equations

1.5 Elasticity

Chapter 2 - Functions and Limits

2.1 Functions

2.2 Algebra of Functions

2.3 Functions and Models

2.4 Limits and Continuity

2.5 One Sided Limits and Continuity

2.6 Rate of Change and The Derivative

Chapter 3 - Derivatives

3.1 Rules of Differentiation

3.2 Product, Quotient Rules

3.3 Chain Rule

3.4 Marginal Functions in Economics

3.5 Higher Order Derivatives

3.6 Implicit Differentiation and Related Rates

Chapter 4 - Applications of Derivatives

4.1 Applications of 1st Derivative

4.2 Applications of 2nd Derivative

4.3 Curve Sketching

4.4 Optimization for Functions

4.5 Optimization Applications

Chapter 5 –Exponential and Log Functions and Derivatives

5.1 Exponential Functions

5.2 Log Functions

5.3 Compound Interest

5.4 Differentiation of Exponential Functions

5.5 Differentiation of Log Functions

Chapter 6 – Integration and Applications

6.1 Antiderivatives

6.2 Integration by Substitution

6.3 Area and Definite Integral

6.4 Fundamental Theorem of Calculus

6.5 Evaluating Definite Integrals

6.6 Area Between Two Curves

6.7 Applications in Business/Economics

Appendix

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Techniques of Calculus 1 by Larry Musolino is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.