**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