Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework assignments page will always be accurate.

Week Date Sections Brief Description
1 3/30 M Handout Remainder estimates
4/1 W 11.2 Infinite Series, geometric series
4/3 F 11.8 Power Series, ratio test and radius of convergence
2 4/6 M 11.9 Functions as power series
4/8 W 11.10 Taylor and Maclaurin Series
4/10 F 11.11 Applications of Taylor polynomials
3 4/13 M 12.1-12.2 Coordinates, distance formula, simple surfaces
4/15 W 12.3 Dot products and projections I
4/17 F 12.3 Dot products and projections II
4 4/20 M 12.4 Cross products and geometry, relation to volume and area
4/22 W 12.5 Lines in different forms, planes in vector and standard forms
4/24 F 12.5 Equations of planes in different forms
5 4/27 M 13.1 Vector functions and space curves
4/29 W 13.2-13.3 Derivatives and integrals along curves, arc length
5/1 F Review for Midterm Exam
6 5/4 M 11,12,13 Midterm Exam
5/6 W 14.1 Functions of several variables
5/8 F 14.2 Limits and continuity in dimension two and three
7 5/11 M 14.3 Partial derivatives
5/13 W 14.4 Tangent planes and normal lines
5/15 F 14.5 Chain rule
8 5/18 M 14.6 Gradient and directional derivatives I
5/20 W 14.6 Gradient and directional derivatives II
5/22 F 14.7 Extreme values I
9 5/25 M No class - Memorial Day
5/27 W 14.7-8 Extreme values II
5/29 F 14.8 Lagrange Multipliers I
10 6/1 M 14.8 Lagrange Multipliers II
6/3 W Review for Final Exam
6/5 Final Exam

Mathematics Department ∈ Dartmouth College