2.1 Functions

2.2 Graphs and Transformations (Optional)

2.3 Quadratic Equations (Optional)

2.4 Exponential Functions

2.5 Logarithmic Functions

3.1 Introduction to Limits

3.2 Continuity

3.3 Infinite Limits and Limits at Infinity (Optional)

3.4 The Derivative

3.5 Basic Differentiation Properties

3.6 Differentials (Optional)

3.7 Marginal Analysis in Business and Economics

4.1 The Constant e and Continuous Interest

4.2 Derivatives of Exp and Logarithmic Functions

4.3 Derivatives of Products and Quotients

4.4 The Chain Rule

4.5 Implicit Differentiation (Optional)

4.6 Related Rates (Optional)

4.7 Elasticity of Demand (Optional)

5.1 First Derivative and Graphs

5.2 Second Derivative and Graphs

5.3 L’Hôpital’s Rule (Optional)

5.4 Curve – Sketching Techniques

5.5 Absolute Maxima and Minima

6.1 Anti-derivatives and Indefinite Integrals

6.2 Integration by Substitution

6.3 Diff. Equations: Growth and Decay (Optional)

6.4 The Definite Integral

6.5 The Fundamental Theorem of Calculus

7.1 Area between Curves

7.2 Applications in Business and Economics (Optional)

7.3 Integration by Parts (Optional)