Mathematics 8
| General Information | Syllabus | Homework Assignments |
|---|---|---|
| Practice Exams | Tables of Integrals | Inetersting Links |
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 |
|---|---|---|
| 3/29 | 8.1 | Integration by Parts |
| 3/31 | 8.2 | Integration of Trigonometric Forms |
| 4/2 | 8.3 | Trigonometric Substitutions |
| 4/5 | 8.4 | Partial Fractions |
| 4/7 | 6.2 | Volumes Using Cross-Sections |
| 4/9 | 6.3 | Volumes of Revolution |
| 4/12 | 17.1, 17.2 | DE: Basic Concepts; First Order Separable DE |
| 4/14 | 17.2, 17.3 | First Order DE |
| 4/16 | 17.3, 17.4 | Applications |
| 4/19 | 17.5 | 2nd Order, Linear, Homogeneous DE with Constant Coeff. |
| 4/21 | 8.6 | Improper Integrals |
| 4/21 | First Hour Exam | |
| 4/23 | 8.6 | Improper Integrals |
| 4/26 | 5.5 | Approximation of Integrals (midpoint, trapezoid, and Simpson's rules) |
| 4/28 | 10.2 | Sequences |
| 4/30 | 10.3 | Series of Constants |
| 5/3 | 10.4 | Series of Positive Terms; Integral and Comparison Tests |
| 5/5 | 10.5 | Series of Positive Terms; Ratio and Root Tests |
| 5/7 | 10.6 | Series with Variable Signs; Absolute and Conditional Convergence |
| 5/10 | 10.1 | Approximation of Functions by Polynomials |
| 5/12 | 10.7 | Power Series (radius and interval of convergence) |
| 5/14 | 10.8 | Integration and Differentiation of Power Series |
| 5/17 | 10.9 | Taylor Series |
| 5/19 | 11.1, 11.3 | Vectors in the Plane and Three Space |
| 5/19 | Second Hour Exam | |
| 5/21 | 11.2 | Dot Products, Projections |
| 5/24 | 11.4 | Cross Products |
| 5/26 | 11.5 | Lines |
| 5/28 | 11.6 | Planes |
| 6/2 | Review |