Instructors: Casey Dowdle, Anna Vasenina
Course on canvas.dartmouth.edu.⇗
Syllabus
| Lectures | Sections in Text (V2 or V3) | Description | Additional comments |
|---|---|---|---|
| Monday March 31 |
V2: 1.1 - 1.5, 3.1 | Review of Math 3; Riemann sums and the Fundamental Theorem of Calculus. | |
| Wednesday April 2 |
V2: 3.1, 5.1 | Integration by parts; Infinite sequences. | |
| Friday April 4 |
V2: 5.2 | Infinite series. | |
| Monday April 7 |
V2: 5.3 | Divergence and integral tests. | |
| Wednesday April 9 |
V2: 5.4, 5.5 | Comparison test, alternating series test. | |
| Friday April 11 |
V2: 5.6 | Remainder of alternating series; Conditional and absolute convergence; Ratio test.` | |
| Monday April 14 |
V2: 6.1, 6.2 | Power series (including differentiation and integration). | |
| Wednesday April 16 |
V2: 6.3 | Taylor and Maclaurin series. | |
| Friday April 18 |
V2: 6.3 | Taylor and Maclaurin series. | |
| Monday April 21 |
V2: 6.4 | Working with Taylor series. | |
| Wednesday April 23 |
V3: 2.1, 2.2 | Coordinates in Rn as a vector space; Distance formula; Simple surfaces. | |
| Thursday April 24 | EXAM 1 | Material covering V2. | Old exams posted on CANVAS. |
| Friday April 25 |
V3: 2.3 | Dot products and projections. | |
| Monday April 28 |
V3: 2.3-2.4 | Projections; Cross products. | |
| Wednesday April 30 |
V3: 2.4 | Cross products and geometry; relation to volume/area. | |
| Friday May 2 |
V3: 2.5 | Lines in R3: parametric and symmetric equations. | |
| Monday May 5 |
V3: 2.5 | Planes in R3: vector and scalar equations. | |
| Wednesday May 7 |
V3: 3.1-3.2 | Vector-valued functions, derivatives. | |
| Friday May 9 |
V3: 3.2-3.3 | Integrals along curves, arc length. | |
| Monday May 12 |
V3: 4.1-4.2 | Limits and continuity in two and three dimensions. | |
| Wednesday May 14 |
V3: 4.2 | Review and domain of multivariable functions. | |
| Thursday May 15 | EXAM 2 | Material through 4.2 in V3. | Old exams posted on CANVAS. |
| Friday May 16 |
V3: 4.3 | Partial derivatives. | |
| Monday May 19 |
V3: 4.4 | Tangent planes. | |
| Wednesday May 21 |
V3: 4.5 | Chain rule and implicit differentiation. | |
| Friday May 23 |
V3: 4.6 | Introduction to gradients and directional derivatives | |
| Monday May 26 |
No class, Memorial Day. | ||
| Wednesday May 28 |
V3: 4.1, 4.6 | Level curves, gradients of level curves | |
| Friday May 30 |
V3: 4.7 | Extreme values: Critical points and second derivative test | |
| Monday June 2 |
V3: 4.7 | Extreme values continued: Absolute maxima and minima | |
|
Wednesday June 4 |
Last in class lecture | Review. | |
|
Final: Saturday June 7 |
11:30am, Room TBD | Exam covers material from the whole course. | Old exams posted on CANVAS |