| Section 1.1 Functions and change |
| Section 1.2 Exponential functions |
| Section 1.3 New functions from old |
| Section 1.4 Logarithmic functions |
| Section 1.5 Trigonometric functions |
| Section 1.8 Limits |
| Section 2.1 How do we measure speed? |
| Sections 2.2 and 2.3 The derivative |
| Section 2.5 The second derivative |
| Section 3.1 Powers and polynomials | |
| Section 3.2 The exponential function | |
| Section 3.3 The Product and Quotient Rules | |
| Section 3.4 The Chain Rule | |
| Section 3.5 The trigonometric functions | |
| Section 3.6 The Chain Rule and inverse functions |
| Section 4.1 Using first and second derivatives |
| Sections 4.3 and 4.5 Optimization and modeling |