Course Syllabus
If in some section only a certain subsection is needed, this latter one is given in quotation marks.
| Day | Date | Section | Topic |
| 1 | 1/5 | V2, 6.3 ("Taylor polynomials") | Taylor polynomials |
| 2 | 1/7 | V2, 5.1 | Limits of Taylor polynomials |
| 3 | 1/10 | V2, 5.2, 5.4, 5.5, 6.3 ("Overview of Taylor/Maclaurin Series") | Limits of Taylor series |
| 4 | 1/12 | V2, 6.3 ("Taylor’s Theorem with Remainder") | Approximations and error bounds |
| 5 | 1/14 | V2, 5.6 ("Ratio test"), 6.1, 6.2, 6.3 ("Representing Functions with Taylor and Maclaurin Series") | Taylor series as functions (power series) |
| 6 | 1/17 | Canceled (MLK day) | |
| 7 | 1/19 | V2, 1.1, 1.2, 2.2 | Riemann sums |
| 8 | 1/21 | V2, 2.2, 2.3 | Volumes of Revolution |
| 9 | 1/24 | V2, 2.5 | Applications of integration |
| End of content for first midterm | |||
| 10 | 1/26 | V3, 2.2 | 3-D coordinate systems, distance, equations of spheres |
| 1/27 | Midterm | ||
| 11 | 1/28 | V3, 2.1 | Vectors, displacement, velocity |
| 12 | 1/31 | V3, 2.3 | Dot product, projections, work in 3-D |
| 13 | 2/2 | V3, 2.4 | Cross product |
| 14 | 2/4 | V3, 2.5 | Lines and planes |
| 15 | 2/7 | V3, 2.6, 3.1 | Curves and surfaces, parametrized curves, motion in space |
| 16 | 2/9 | V3, 3.2 | Derivatives and integrals of vector-valued functions |
| 17 | 2/11 | V3, 3.3 | Arc length |
| 18 | 2/14 | V3, 3.4 | Motion along a curve |
| End of content for second midterm | |||
| 19 | 2/16 | V3, 4.1 | Graphs and level sets |
| 2/17 | Midterm | ||
| 20 | 2/18 | V3, 4.2 | Functions of several variables: limits and continuity |
| 21 | 2/21 | V3, 4.3 | Partial derivatives |
| 22 | 2/23 | V3, 4.4 | Tangent planes |
| 23 | 2/25 | V3, 4.4 | Derivative as linear approximation |
| 24 | 2/28 | V3, 4.5 | Chain Rule |
| 25 | 3/2 | V3, 4.6 | Directional derivatives and gradient vector |
| 26 | 3/4 | V3, 4.7 | Maximum and minimum values |
| 27 | 3/7 | V3, 4.8 | Constrained optimization |
Course Summary:
| Date | Details | Due |
|---|---|---|