General Information | Syllabus | Homework Assignments | Classroom Demos |
---|---|---|---|
FAQ | Downloads | Maple Info | Practice Exams |
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
Last modified by
T. R. Shemanske on 13 Nov 1998
Graphics by The Gimp