## Tentative Term 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
9/25 17.1 General Notions of ODEs, Slope Fields
9/28 17.2, 17.4 Separable Equations and Applications (mixing, growth, cooling)
[No homogeneous equations; no applications beyond mixing]
9/30 8.1 Integration by Parts
10/2 8.2 Trigonometric Integrals (Type I and II only)
10/5 8.3 Trigonometric Substitutions
10/7 17.3 General First Order Linear DE (motion in viscous medium)
[No exact equations]
10/9 17.5, 17.7 Vibrating Spring and 2nd order constant coeff DE (real roots)
10/12 17.5, and Supplement Introduction to complex numbers
2nd order const coeff DE (complex roots)
10/14 6.1, 6.4 Area between curves, Arc Length
10/16 6.2 Volumes of revolution (disks and washers)
[No piecewise smooth functions, or issues of rectifiability]
10/19 6.3 Volumes of Revolution (shells), and start improper integrals
10/20   First Hour Exam
10/21 8.6 Improper Integrals (Unbounded intervals only)
Include comparison and limit comparison tests
10/23 5.5 Midpoint and Trapezoid rules; Mention Simpson No error formulas
10/26 5.5,extra Error formulas for Midpoint & Trapezoid, Introduce series
10/27 (x-hour) 10.2 Sequences
10/28 10.3 Series of constants [No telescoping]
11/2 10.4 Integral and Comparison tests (including Limit Comp Test)
11/4 10.5, 10.6 Ratio Test (no root test)
Absolute and Conditional Convergence
11/6 10.6 Alternating Series
11/9 10.7 Power Series (radius and interval of convergence)
11/11 10.8 Integration and Differentiation of power series
11/11   Second Hour Exam
11/13 10.1 Approximation of Functions
11/16 10.1, 10.9 Approximation continued, Taylor Series (no binomial series)
11/18 11.1, 11.3 Vectors in R2 and R3
11/20 11.2, 11.3 Dot product [no direction angles]
11/23 11.4 Cross Products
11/24 (x-hour) 11.5 Lines in R3
11/25 - 11/29   No class - Thanksgiving Break
11/30 11.6 Equations of planes
12/2   Loose ends, review

Created by T. R. Shemanske on 20 Jul 1998