Instructors: Lizzie Buchanan, Nadia Lafrenière, 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 ("Taylor’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