Calculus of One and Several Variables

 General Information Syllabus Homework Assignments WeBWorK Trivia Exam Related Software Resources

## 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 Assigments page will always be accurate.

Lectures Sections in Text Brief Description
Day 1:  3/26 10.1, 10.2 General DEs, models, direction fields (skip Euler's method)
Day 2:  3/28 10.3, 10.4 Separable equations (skip orthogonal trajectories), exponential growth
Day 3:  3/31 8.1, 10.6 Integration by Parts (quickly), First Order Linear Differential Equations
Day 4:  4/2 10.6, Appendix G First Order Linear DE applications, Complex Numbers
Day 5:  4/4 Appendix G, 18.1 Complex Numbers, Second order linear DEs
Day 6:  4/7 18.1, 18.3 Second order linear DEs (continued); Applications
Day 7:  4/9 12.1, 12.2 Basics about sequences and series; geometric series
Day 8:  4/11 12.3, 12.4, 12.5, 12.6 Comparison test; Alternating series; Absolute convergence; Ratio test (quickly)
Day 9:  4/14 12.8, 12.9 Power Series; Representing functions as power series
Day 10:  4/16 12.10 Taylor Series
Day 11:  4/18 12.12 Error Estimates on Talyor polynomials
Day 12:  4/21 13.1, 13.2 Three dimensional coordinate systems, vectors
4/21   First Hour Exam 6 - 8 pm
Day 13:  4/23 13.3 Dot products
Day 14:  4/25 13.4 Cross products
Day 15:  4/28 13.5 Equations of lines
Day 16:  4/30 13.5 Equations of planes
Day 17:  5/2 14.1, 14.2 Vector functions and space curves, derivatives of vector functions
Day 18:  5/5 14.3, 14.4 Arc length, velocity and acceleration (motion problems)),
Day 19:  5/7 15.1, 15.2 Functions of several variables, limits, continuity
Day 20:  5/9 15.3 Partial derivatives (skip Cobb-Douglas function)
Day 21:  5/12 15.4 Tangent planes and approximation
5/13   Second Hour Exam 6 - 8 pm
Day 22:  5/14 15.5 Chain rule
Day 23:  5/16 15.6 Directional derivative and gradient
Day 24:  5/19 15.6, 15.7 Directional derivative and gradient (cont.); Maxima and minima
Day 25:  5/21 15.7 Maxima and minima (cont.)
Day 26:  5/23 15.8 Lagrange multipliers
Day 27:  5/27 15.8 Lagrange multipliers (cont.)
Day 28:  5/28 -- Review etc.