Calculus of functions of one and several variables
| General Information | Syllabus | HW Assignments | Course Resources |
|---|
Syllabus
The following is a tentative syllabus for the course. This page will be updated irregularly.On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| Jan. 4 (W) | Chapter 4 | Review of Math 3: Integration Techniques |
| X-Hour (Tu/Th) | No class this week | |
| Jan. 6 (F) | 11.11 | Taylor polynomials |
| Jan. 9 (M) | 11.10-11 | Remainder estimates |
| Jan. 11 (W) + x-hour | 11.2 and 11.4 | Infinite series, geometric series, and the comparison test |
| Jan. 13 (F) | 11.3 | Integral Test |
| Jan. 16 (M) | No class - MLK Day | |
| Jan. 18 (W) + x-hour | 11.5 and 11.6 | Root and ratio tests, radius of convergence, and alternating series |
| Jan. 20 (F) | 11.8 | Power series |
| Jan. 23 (M) | 11.9 | Functions as power series |
| Jan. 25 (W) + x-hour | 11.10 and 11.11 | Taylor series and exam review |
| Jan. 26 (Th) | Chapter 11 | Exam 1: 5-7pm in Silsby 028 |
| Jan. 27 (F) | 12.1 | Intro to $R^n$ |
| Jan. 30 (M) | 12.2 | Coordinates in $R^n$ as a vector space; distance formula; simple surfaces |
| Feb. 1 (W) + x-hour | 12.3 and 12.6 | Dot products, projections and surfaces |
| Feb. 3 (F) | 12.3 | More dot products and projections |
| Feb. 6 (M) | 12.4 | Cross products and geometry; relation to volume/area |
| Feb. 8 (W) + x-hour | 12.5 | Lines in different forms; planes in vector and standard forms |
| Feb. 10 (F) | 13.1-13.2 | Vector functions and vector calculus |
| Feb. 13 (M) | 13.3 | Derivatives and integrals along curves, arc length |
| Feb. 15 (W) + x-hour | 14.1-14.2 | Limits and continuity in 2- and 3-D and exam review |
| Feb. 16 (Th) | Chapters 12 and 13 | Exam 2: 5-7pm in Silsby 028 |
| Feb. 17 (F) | 14.3 | Partial derivatives |
| Feb. 20 (M) | 14.4 | Tangent planes and normal lines |
| Feb. 22 (W) + x-hour | 14.5 and 14.2 | Chain rule, limits, and continuity |
| Feb 24 (F) | 14.6 | Gradients and directional derivatives, I |
| Feb. 27 (M) | 14.6 | Gradients and directional derivatives, II |
| Mar. 1 (W) + x-hour | 14.7 | Extreme values |
| Mar. 3 (F) | 14.8 | Lagrange multipliers, I |
| Mar. 6 (M) | 14.8 | Lagrange multipliers, II |
| Mar. 8 (W) | Wrap up | |
| Mar. 11 (Sat.) | Final Exam |
Dartmouth Math Department
Last updated December 11, 2016 10:33:19 EST