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Introduction

Acknowledgements

1.1 Review Introduction

1.2 Writing Equations of Straight Lines

1.3 Factoring Methods

1.4 Solving Polynomial Equations

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

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

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

5.1 Exponential Functions

5.2 Log Functions

5.3 Compound Interest

5.4 Differentiation of Exponential Functions

5.5 Differentiation of Log Functions

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 Copyright © 2021 by Larry Musolino is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.