Instructors: Zhen Chen, Matthew Ellison, Melanie Ferreri.
Course on canvas.dartmouth.edu.⇗
Syllabus
Day Lectures Sections in Brief Description
Text
1 12 Sep V2,1.1-1.5, Review of Math 3; Riemann sums and the Fundamental Theorem
3.1 of Calculus
2 14 Sep V2, 3.1; 5.1- Integration by parts; Infinite sequences and infinite series;
5.2 geometric series
3 16 Sep V2, 5.3 The divergence test and integral test
4 19 Sep V2, 5.4-5.5 Comparison tests; alternating series test
5 21 Sep V2, 5.6, 6.1 Remainder of alternating series; Conditional and absolute
convergence; Ratio test.
6 23 Sep V2, 6.1, 6.2 Power series (incl. differentiation and integration)
7 26 Sep V2, 6.3 Taylor and Maclaurin series, I
8 28 Sep V2, 6.4 Taylor and Maclaurin series, II
9 30 Sep V2, 6.3 Taylor polynomials; remainder estimates
10 3 Oct Review
11 5 Oct V3, 2.1, 2.2 Coordinates in R^n as a vector space; distance formula; simple
surfaces
5 Oct Midterm 1
12 7 Oct V3, 2.3 Dot products and projections, I
13 10 Oct V3, 2.3 Dot products and projections, II
14 12 Oct V3, 2.4 Cross products and geometry; relation to volume/area
15 14 Oct V3, 2.5 Lines in R^3: parametric and symmetric equations
16 17 Oct V3, 2.5 Planes in R^3: vector and scalar equations
17 19 Oct V3, 3.1-3.3 Derivatives and integrals along curves, arc length
18 21 Oct No class: Day of Caring
19 24 Oct V3, 4.1-4.2 Limits and continuity in 2- and 3-D
20 26 Oct Review
26 Oct Midterm 2
21 28 Oct V3, 4.3 Partial derivatives
22 31 Oct V3, 4.4 Tangent planes and normal lines
23 2 Nov V3, 4.5 Chain Rule and Implicit Differentiation
24 4 Nov V3, 4.6 Gradients and directional derivatives
25 7 Nov V3, 4.7 Extreme values, I
26 9 Nov V3 4.7-4.8 Extreme values, II; Lagrange multipliers, I
27 11 Nov V3, 4.8 Lagrange multipliers, II
28 14 Nov Wrap up
22 Nov Final Exam