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 | 8 Jan (F) | V2, 1.1-1.5 | Introduction, Review of integration |
| 2 | 11 Jan (M) | V2, 2.2 | Volume of revoluation |
| 3 | 13 Jan (W) | V2, 2.4 | Arc-length of a curve |
| 4 | 15 Jan (F) | V2, 3.3 | Trigonometric substitution |
| 5 | 18 Jan (M) | MLK Day (no class) | |
| 6 | 19 Jan (T) or 20 Jan (W) | Taylor polynomials | |
| 7 | 20 Jan (W) or 21 Jan (Th) | V2, 5.1, 5.2 | Sequence and series, convergence of series, geometric series |
| 8 | 22 Jan (F) | V2, 6.1 | Power Series, Ratio test, radius of convergence |
| 9 | 25 Jan (M) | V2, 6.2 | Representing functions as power series |
| 10 | 27 Jan (W) | V2,, 6.3 | Error estimates |
| 11 | 29 Jan (F) | Review | |
| 12 | 1 Feb (M) | V3, 2.1, 2.2 | Coordinates in R^n as a vector space; distance forrmula; simple surfaces |
| 13 | 3 Feb (W) | V3, 2.3 | Dot products and projections, I |
| 14 | 5 Feb (F) | V3, 2.3 | Dot products and projections, II |
| 15 | 8 Feb (M) | V3, 2.4 | Cross products |
| 16 | 10 Feb (W) | V3, 2.5 | Lines in different forms; planes in vector and standard forms |
| 17 | 12 Feb (F) | V3, 2.5 | Equation of a plane in different forms |
| 18 | 15 Feb (M) | V2, 3.1-3.3 | Derivatives and integrals of vector-valued functions, arc-length of a curve |
| 19 | 17 Feb (W) | V3, 4.1 | Functions of several variables; |
| 20 | 19 Feb (F) | Review | |
| 21 | 22 Feb (M) | V2, 4.2 | Limits and continuity of multi-variable functions |
| 22 | 24 Feb (W) | V3, 4.3 | Chain rule |
| 23 | 26 Feb (F) | V3, 4.4 | Tangent planes and normal lines |
| 24 | 1 Mar (M) | V3, 4.5 | Chain rule |
| 25 | 3 Mar (W) | V3, 4.6 | Directional derivatives and gradient |
| 26 | 5 Mar (F) | V3, 4.7 | Extreme values, I |
| 27 | 8 Mar (M) | V3 4.7 | Extreme values, II |
| 27 | 10 Mar (W) | V3, 4.8 | Lagrange multipliers | TBA | Final Exam |