Instructors: Kameron McCombs, Jack Petok

Course on canvas.dartmouth.edu.⇗

Syllabus

Day Lectures Sections in Text Brief Description
1 27 Mar (M) V2, 1.1-1.5 Review of Math 3: Riemann sums and the Fundamental Theorem of Calculus. Substituion
2 29 Mar (W) V2, 2.4, 3.1 Arc length. Integration by parts. Trig substitution
3 31 Apr (F) V2 2.2, 2.3 Volume by slicing, volume of solid of revolution.
4 3 Apr (M) V2, 5.1-5.2 Infinite sequences.  Infinite series.
5 5 Apr (W) V2, 5.3-5.6 Divergence and convergence. Divergence test, p-series, comparison test, alternating series test, ratio test.
6 7 Apr (F) V2, 6.1, 6.2 Power series (incl. differentiation and integration)
7 10 Apr (M) V2, 6.3 Taylor and Maclaurin series, I
8 12 Apr (W) V2, 6.4 Taylor and Maclaurin series, II
9 14 Apr (F) V2,, 6.3 Taylor polynomials; remainder estimates
10 17 Apr (M) Review
11 19 Apr (W) V3, 2.1, 2.2 Coordinates in R^n as a vector space; distance formula; simple surfaces
19 Apr (W) Midterm 1 (4:00 pm - 6:00 pm)
12 21 Apr (F) V3, 2.3 Dot products and projections, I
13 24 Apr (M) V3, 2.3 Dot products and projections, II
14 26 Apr (W) V3, 2.4 Cross products and geometry; relation to volume/area
15 28 Apr (F) V3, 2.5 Lines in R^3: parametric and symmetric equations
16 1 May (M) V3, 2.5 Planes in R^3: vector and scalar equations
17 3 May (W) V2, 3.1-3.3 Derivatives and integrals along curves, arc length
18 5 May (F) V3, 4.1-4.2 Limits and continuity in 2- and 3-D
19 8 May (M) Review
20 10 May (W) V2, 4.3 Partial derivatives
10 May (W) Midterm 2 (4:00 pm - 6:00 pm)
21 12 May (F) V3, 4.4 Tangent planes and normal lines
22 15 May (M) V3, 4.5 Chain rule
23 17 May (W) V3, 4.6 Gradients and directional derivatives, I
24 19 May (F) V3, 4.6 Gradients and directional derivatives, II
25 22 May (M) V3, 4.7 Extreme values, I
26 24 May (W) V3 4.7-4.8 Extreme values, II; Lagrange multipliers, I
27 26 May (F) V3, 4.8 Lagrange multipliers, II
28 31 May (W) Wrap up
2 Jun (F) Final Exam (8:00 am - 11:00 am)