Please note that is just a sample syllabus, actual syllabi for the various sections of the course will likely be different each semester. Different instructors may choose somewhat different material. The number of class sessions varies between fall and spring semesters, Monday-Wednesday and Tuesday-Thursday classes.
All section numbers refer to James Stewart, Calculus: Early Transcendentals, 9th Edition.
| Class | Material | Sections |
| 1 | Review of integration, areas between curves. | Chapter 5, §6.1 |
| 2 | Volumes | §6.2, 6.3 |
| 3 | Integration by parts. | §7.1 |
| 4 | Trigonometric integrals. | §7.2 |
| 5 | Trigonometric substitution. | §7.3 |
| 6 | Integration of rational functions. | §7.4 |
| 7 | Improper integrals. | §7.8 |
| 8 | Review, stategy for integration. | §7.5 |
| 9 | Midterm 1. | |
| 10 | Infinite sequences. | §11.1 |
| 11 | Series. | §11.2 |
| 12 | Integral test, comparison tests. | §11.3, 11.4 |
| 13 | Alternating series. | §11.5 |
| 14 | Absolute convergence, ratio and root tests. | §11.6 |
| 15 | Power series. | §11.8 |
| 16 | Representations of functions as power series. | §11.9 |
| 17 | Taylor and Maclaurin series. | §11.10 |
| 18 | Review. | |
| 19 | Midterm 2. | |
| 20 | Modeling with differential equations; direction fields and Euler’s method. | §9.1, 9.2 |
| 21 | Separable equations; mixing problems; models for population growth. | §9.3, 9.4 |
| 22 | Linear equations. | §9.5 |
| 23 | Arc length, area of a surface of revolution. | §8.1, 8.2 |
| 24 | Parametric curves, arc length and areas. | §10.1, 10.2 |
| 25 | Polar coordinates. | §10.3 |
| 26 | Areas and arc length in polar coordinates. | §10.4 |
| 27 | Review. |
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