The following is a tentative schedule for the course. Sections in text refer to OpenStax Calculus Volumes 2 and 3. Please check back regularly for updates as the term progresses.
| Day | Lectures | Sections in Text | Brief Description |
|---|---|---|---|
| 1 | 14 Sep (M) | V2, 1.1-1.5 | Review of Math 3: Riemann sums and the Fundamental Theorem of Calculus |
| 2 | 16 Sep (W) | V2, 5.1-5.2 | Infinite sequences and infinite series; geometric series |
| 3 | 18 Sep (F) | V2, 5.3 | The divergence test and integral test |
| 4 | 21 Sep (M) | V2, 5.4-5.6 | Comparison tests; alternating series test; ratio test |
| 5 | 23 Sep (W) | V2, 5.6, 6.1 | Power series; ratio test and interval of convergence |
| 6 | 25 Sep (F) | V2, 6.2 | Functions as power series (incl. differentiation and integration) |
| 7 | 28 Sep (M) | V2, 6.3 | Taylor and Maclaurin series, I |
| 8 | 30 Sep (W) | V2, 6.4 | Taylor and Maclaurin series, II |
| 9 | 2 Oct (F) | V2,, 6.3 | Taylor polynomials; remainder estimates |
| 10 | 5 Oct (M) | Review | |
| 11 | 7 Oct (W) | V3, 2.1, 2.2 | Coordinates in R^n as a vector space; distance forrmula; simple surfaces |
| 12 | 9 Oct (F) | V3, 2.3 | Dot products and projections, I |
| 13 | 12 Oct (M) | V3, 2.3 | Dot products and projections, II |
| 14 | 14 Oct (W) | V3, 2.4 | Cross products and geometry; relation to volume/area |
| 15 | 16 Oct (F) | V3, 2.5 | Lines in different forms; planes in vector and standard forms |
| 16 | 19 Oct (M) | V3, 2.5 | Equation of a plane in different forms |
| 17 | 21 Oct (W) | V2, 3.1-3.3 | Derivatives and integrals along curves, arc length |
| 18 | 23 Oct (F) | V3, 4.1-4.2 | Limits and continuity in 2- and 3-D |
| 19 | 26 Oct (M) | Review | |
| 20 | 28 Oct (W) | V2, 4.3 | Partial derivatives |
| 21 | 30 Oct (F) | V3, 4.4 | Tangent planes and normal lines |
| 22 | 2 Nov (M) | V3, 4.5 | Chain rule |
| 23 | 4 Nov (W) | V3, 4.6 | Gradients and directional derivatives, I |
| 24 | 6 Nov (F) | V3, 4.6 | Gradients and directional derivatives, II |
| 25 | 9 Nov (M) | V3, 4.7 | Extreme values, I |
| 26 | 11 Nov (W) | V3 4.7-4.8 | Extreme values, II; Lagrange multipliers, I |
| 27 | 13 Nov (F) | V3, 4.8 | Lagrange multipliers, II |
| 28 | 16 Nov (M) | Wrap up | |
| TBA | Final Exam |