Instructors: Lizzie Buchanan, Nadia LafreniÃ¨re, Misha Tyomkin.

Course on Canvas: https://canvas.dartmouth.edu/courses/50321/

## Syllabus

Day	Date	Section	Topic
1	1/5	V2, 6.3 ("Taylor polynomials")	Taylor polynomials
2	1/7	V2, 5.1	Limits of Taylor polynomials
3	1/10	V2, 5.2, 5.4, 5.5, 6.3 ("Overview of Taylor/Maclaurin Series")	Limits of Taylor series
4	1/12	V2, 6.3 ("Taylorâ€™s Theorem with Remainder") Approximations and error bounds
5	1/14	V2, 5.6 ("Ratio test"),
6.1, 6.2, 6.3 ("Representing Functions with Taylor and Maclaurin Series") Taylor series as functions (power series)
6	1/17	Canceled (MLK day)
7	1/19	V2, 1.1, 1.2, 2.2	Riemann sums
8	1/21	V2, 2.2, 2.3	Volumes of Revolution
9	1/24	V2, 2.5	Applications of integration
End of content for first midterm
10	1/26	V3, 2.2	3-D coordinate systems, distance, equations of spheres
1/27		Midterm
11	1/28	V3, 2.1	Vectors, displacement, velocity
12	1/31	V3, 2.3	Dot product, projections, work in 3-D
13	2/2	V3, 2.4	Cross product
14	2/4	V3, 2.5	Lines and planes
15	2/7	V3, 2.6, 3.1	Curves and surfaces, parametrized curves, motion in space
16	2/9	V3, 3.2	Derivatives and integrals of vector-valued functions
17	2/11	V3, 3.3	Arc length
18	2/14	V3, 3.4	Motion along a curve
End of content for second midterm
19	2/16	V3, 4.1	Graphs and level sets
2/17		Midterm
20	2/18	V3, 4.2	Functions of several variables: limits and continuity
21	2/21	V3, 4.3	Partial derivatives
22	2/23	V3, 4.4	Tangent planes
23	2/25	V3, 4.4	Derivative as linear approximation
24	2/28	V3, 4.5	Chain Rule
25	3/2	V3, 4.6	Directional derivatives and gradient vector
26	3/4	V3, 4.7	Maximum and minimum values
27	3/7	V3, 4.8	Constrained optimization