Calculus of One and Several Variables
Last updated September 04, 2001 11:39:39 EDT

 General Information Syllabus Homework Assignments Exam Related

## 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.  You may notice that, currently, the syllabus is exactly the same as that of Math 8.  This is no coincidence - while the topics in Math 9 are virtually the same as those in Math 8, the treatment of these topics will differ.

Lectures Sections in Text Brief Description
Day 1:  9/26 10.1, 10.2 General DEs, models, direction fields (skip Euler's method)
Day 2:  9/28 10.3, 10.4 Separable equations (skip orthogonal trajectories), exponential growth
Day 3:  10/1 8.1, 10.6 Integration by Parts(quickly), First Order Linear Differential Equations
Day 4:  10/3 10.6, Appendix G First Order Linear DE applications, Complex Numbers
Day 5:  10/5 Appendix G, 18.1 Complex Numbers, Second order linear DEs
Day 6:  10/8 18.1 Second order linear DEs (continued)
Day 7:  10/10 18.3 Applications of Second order linear DEs
Day 8:  10/12 12.1, 12.2 Sequences, series (geometric, p-series)
Day 9:  10/15 12.8, 12.9 Power Series, Representing functions as power series
Day 10:  10/17 12.10 Taylor Series
Day 11:  10/19 12.10 Error Estimates on Talyor polynomials
Day 12:  10/22 13.1, 13.2 Three dimensional coordinate systems, vectors
Day 12: 10/22   First Hour Exam 6 - 8 pm
Day 13:  10/24 13.3 Dot products
Day 14:  10/26* 13.4 Cross products (Classes meet in x-hour instead of Friday)
Day 15:  10/29 13.5 Equations of lines
Day 16:  10/31 13.5 Equations of planes
Day 17:  11/2 14.1, 14.2 Vector functions and space curves, derivatives of vector functions
Day 18:  11/5 14.3, 14.4 Arc length, velocity and acceleration (motion problems)),
Day 19:  11/7 15.1, 15.2 Functions of several variables, limits, continuity
Day 20:  11/9 15.3 Partial derivatives (skip Cobb-Douglas function)
Day 21:  11/12 15.4 Tangent planes and approximation
Day 21: 11/12   Second Hour Exam 6 - 8 pm
Day 22:  11/14 15.5 Chain rule
Day 23:  11/16 15.5, 15.6 Chain rule (cont.), Directional derivative and gradient
Day 24:  11/19 15.6 Directional derivative and gradient (cont.)
Thanksgiving break 11/21 and 11/23
Day 25:  11/26 15.7 Maxima and minima
Day 26:  11/28 15.7 Maxima and minima (cont.)
Day 27:  11/30 15.8 Lagrange multipliers
Day 28:  12/3 15.8 Lagrange multipliers (cont.), Loose ends, questions, etc.