All sections refer to James Stewart, Calculus: Early Transcendentals, 7th Edition.
| Date | Material | Sections |
| 01/20 | Functions. New functions from old. | §1.1, 1.2, 1.3 |
| 01/22 | Trigonometric functions. | |
| 01/27 | Exponential function, inverse functions, logarithms. | §1.5, 1.6 |
| 01/29 | Derivative: motivation. Informal definition of limit. | §2.1, 2.2 |
| 02/03 | Limit laws. Squeeze theorem. | §2.3 |
| 02/05 | Continuity, asymptotes. | §2.5, 2.6 |
| 02/10 | Definition of derivative. Derivative as a function. | §2.7, 2.8 |
| 02/12 | Review. | |
| 02/17 | Midterm 1. | |
| 02/19 | Derivative of polynomials. Product and quotient rules. | §3.1, 3.2 |
| 02/24 | Derivatives of trig functions. | §3.3 |
| 02/26 | Chain rule, implicit differentiation. | §3.4, 3.5 |
| 03/03 | Derivative of the logarithm. Applications. | §3.6, 3.7, 3.8 |
| 03/05 | Related rates, linear approximation. | §3.9, 3.10 |
| 03/10 | Maximization. Mean value theorem. | §4.1, 4.2 |
| 03/12 | Second derivative, convexity, second derivative test. L’Hospital’s rule. | §4.3, 4.4 |
| Spring break 03/16 – 03/20 | ||
| 03/24 | L’Hospital’s rule, more graph sketching. | §4.4, 4.5 |
| 03/26 | Optimization problems. | §4.7 |
| 03/31 | Newton’s method. | §4.8 |
| 04/02 | Antiderivatives. | §4.9 |
| 04/07 | Review. | |
| 04/09 | Midterm 2. | |
| 04/14 | Definite integral: definition. | §5.1 |
| 04/16 | The “area so far” function. | §5.2 |
| 04/21 | The fundamental theorem of calculus. Evaluating definite integrals via the “net change theorem” | §5.3, 5.4 |
| 04/23 | Substitution rule. | §5.5 |
| 04/28 | Areas between curves, average values. | §6.1, 6.5 |
| 04/30 | Review. | |
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