Lecture Plan
The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses. Assignments will be made available through the CANVAS website.
| Lectures | Sections in Text (V2 or V3) | Description | Additional comments |
|---|---|---|---|
|
Wed
Jan 3 |
V2: 1.1 - 1.5, 3.1. | Review of Math 3; Riemann sums and the Fundamental Theorem of Calculus. |
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Fri
Jan 5 |
V2: 3.1, 5.1, 5.2. | Integration by parts; Infinite sequences and infinite series; Geometric series. | |
|
Mon
Jan 8 |
V2: 5.3. | Divergence and integral tests. | |
|
Wed
Jan 10 |
V2: 5.4, 5.5. | Comparison test, alternating series test. | |
|
Fri
Jan 12 |
V2: 5.6, 6.1 | Remainder of alternating series; Conditional and absolute convergence; Ratio test.` | |
|
Wed
Jan 17 |
V2: 6.1, 6.2. | Power series (including differentiation and integration). | |
|
Thu
Jan 18 |
V2: 6.3. | Taylor and Maclaurin series (The class on MLK day Mon, Jan 15 is moved to Thu for Sections 1-2, and to Tue for Section 3) | |
|
Fri
Jan 19 |
V2: 6.3 | Taylor and Maclaurin series. |
Mon
Jan 22 |
V2: 6.4 | Working with Taylor series. |
|
Wed
Jan 24 |
V2: 5.1-5.6; 6.1-6.4. | Review. | |
|
Fri
Jan 26 |
V3: 2.1, 2.2. | Coordinates in Rn as a vector space; Distance formula; Simple surfaces. | |
| Thursday Jan 25: 5:00 pm - 6:45 pm. | TEST 1 | Material covering V2. |
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|
Mon
Jan 29 |
V3: 2.3. | Dot products and projections. | |
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Wed
Jan 31 |
V3: 2.3. | Dot products and projections. | |
|
Fri
Feb 2 |
V3: 2.4. |
Cross products and geometry; relation to volume/area. |
|
|
Mon
Feb 5 |
V3: 2.5. |
Lines in R3: parametric and symmetric equations. |
|
|
Wed
Feb 7 |
V3: 2.5. |
Planes in R3: vector and scalar equations. | |
|
Fri
Feb 9 | V3: 3.1-3.3. | Derivatives and integrals along curves, arc length. | |
|
Mon
Feb 12 |
V3: 4.1-4.2. | Limits and continutiy in two and three dimensions. | |
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Wed
Feb 14 |
V3: through 4.2 | Catch up and review. | |
|
Fri
Feb 16 |
V3: 4.3. | Partial derivatives. | |
| Thursday Feb 15: 5:00 pm - 6:45 pm | TEST 2 | Material through 4.2 in V3. | |
|
Mon
Feb 19 |
V3: 4.4. | Tangent planes. | |
|
Wed
Feb 21 |
V3: 4.5. | Chain rule and implicit differentiation. | |
|
Fri
Feb 23 | V3: 4.6. | Gradients and directional derivatives. | |
|
Mon
Feb 26 |
V3: 4.7. | Extreme values. | |
|
Wed
Feb 28 |
V3: 4.7, 4.8. | Extreme values continued; Lagrange multipliers. | |
|
Fri
Mar 1 |
V3: 4.8. | Lagrange multipliers, continued. | |
|
Monday
Mar 4 |
V2 and V3 |
Reivew for final.
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| Final Exam | Fri, Mar 8, 3-6 pm, Cummings 100 | Exam covers material from the whole course. |