Section 3 Course topics
ΒΆThe following table provides a list of the topics we'll attempt to cover in Math 2565, along with the dates I think we'll get to them, where they can be found in the textbook. You can generally expect that the minimum recommended homework for each section consists of the odd-numbered problems. Note that some questions will differ slightly between the HTML and PDF editions of the textbook. There are also significant differences in Chapter 8 (differential equations). Sections given below are for the HTML version.
| January 7 | Introduction; substitution | 6.1 |
| January 9 | Integration by parts | 6.2 |
| January 14 | Trigonometric integrals | 6.3 |
| January 16 | Trig and hyperbolic substitution | 6.4 |
| January 21 | Partial fractions | 6.5 |
| January 23 | Improper integrals | 6.6 |
| January 28 | Area between curves | 7.1 |
| January 30 | Volumes of solids of revolution | 7.2, 7.3 |
| February 4 | Arc length | 7.4 |
| February 6 | Test #1 | Chapters 6 and 7 |
| February 11 | Introduction to differential equations | 8.1, 8.2 |
| February 13 | Linear differential equations | 8.3 |
| February 25 | Modelling with differential equations | 8.4 |
| February 27 | Intro to sequences and series | 9.1, 9.2 |
| March 3 | Integral and comparison tests | 9.3 |
| March 5 | Ratio, root, and alternating series tests | 9.4, 9.5 |
| March 10 | Power series | 9.6 |
| March 12 | Taylor series | 4.5, 9.7 |
| March 17 | Conic sections | 10.1 |
| March 19 | Test 2 | Chapters 8 and 9 |
| March 24 | Parametric curves | 10.2, 10.3 |
| March 26 | Polar curves | 10.4, 10.5 |
| March 31 | Functions of several variables | 12.1, 12.2 |
| April 2 | Partial derivatives | 12.4, 12.5 |