This calendar is updated weekly, indicating which textbook sections we plan to cover. It is where you will find paper HW assignments, test review documents, and other useful handouts.
Don't forget to check out the sidebar on the right as well! That's a convenient place to find some central resources, such as the syllabus.
UNIT 1: Integral Applications
- W Jan 9. Introduction to the course and some brief review of derivatives.
- Log on to WeBWorK and practice with it! Check the syllabus or email me if you're having problems.
- You will need to install VPN (virtual private network) programs if you plan to use WeBWorK off-campus. Read this to see the necessary steps.
- Here's a quick refresher of some main results in Calculus I.
- F Jan 11. Start Chapter 5 Review: the definite and indefinite integral, Fundamental Theorem of Calculus.
Quiz this week: None
- The actual paper HW assignments start next week, but this shows off a bit of what my writing standards look like.
- Solutions for the demo assignment
- M Jan 14. Chapter 5 Review: Finish FTC, u-substitution.
- T Jan 15. Finish Chapter 5 Review: area between two curves.
- W Jan 16. Start 6.1: Volume in 3D by integrating cross-section areas.
- F Jan 18. 6.1: Volumes of revolution using disks.
- We finish this topic to start next week, after the school holiday on M Jan 21.
Quiz this week: Basic integration (Chapter 5 Review)
- Check out the demo assignment from last week to see what a possible writeup could look like.
- I typically upload partial solutions to eLC one class day after the assignment is due (to allow for late handins as syllabus policy permits).
- No class on M Jan 21.
- T Jan 22. Finish 6.1: Volumes of revolution using washers.
- W Jan 23. Start 6.2: Volumes of revolution using shells.
- F Jan 25. Finish 6.2: Contrast washers versus shells for revolution problems.
Quiz this week: A couple disk volume problems (Section 6.1)
- M Jan 28. Start 6.3 and 6.4: Arc length.
- T Jan 29. Finish 6.3 and 6.4: Surface areas of revolution.
- W Jan 30. Start 6.5: Work in physics, weight and fluid problems.
- F Feb 1. Finish 6.5: Spring work, average values.
Quiz this week: A shell volume problem (Section 6.2)
TEST 1 IS NEXT TUESDAY IN CLASS.
- This test covers u-substitution, area between curves, and Sections 6.1 through 6.5.
- Expect 6 to 8 questions, somewhere between quiz problems and paper set problems in difficulty.
- One question may ask you to repeat definitions of the terminology we use in class!
- A problem may ask you to set up the form of an integral but not actually compute an anti-derivative or substitute numbers.
- Calculators are allowed as long as they cannot do derivatives, integrals, or graphs for you. The syllabus recommends the fairly cheap TI-30XS Multiview.
- You must show work, but you won't have to write sentences like in paper HW. If you are asked to give an explanation, keep it brief (at most one sentence).
- Topic list with study suggestions, and practice questions for Test 1
- We have an in-class review day on Monday 2/4 to answer questions you have or to go over some of the practice problems posted here.
UNIT 2: Integration techniques
- M Feb 4. Review for Test 1 (see practice questions above).
- T Feb 5. TEST 1
- W Feb 6. Start 7.2: Separable differential equations.
- F Feb 8. Finish 7.2: The exponential diff eq y' = ky, precalculus applications.
No quiz this week
No paper HW this week
- M Feb 11. Start 8.1: Integration by parts.
- T Feb 12. Finish 8.1: Reduction formulas and "cycling" parts.
- A difficult demonstration of a trig reduction formula (for extra practice)
- W Feb 13. Start 8.2: Trigonometry Integrals, powers of sine and cosine.
- F Feb 15. Finish 8.2: Powers of tangent and secant.
- A summary, with examples, of our miscellaneous tactics for these integrals
Quiz this week: Section 7.2
- M Feb 18. Start 8.3: Integration by trigonometric substitution, sqrt(a^2 - x^2) form.
- T Feb 19. Continue 8.3: Trig sub with all three forms.
- W Feb 20. Finish 8.3: More practice with trig sub.
- F Feb 22. Start 8.4: Integration by partial fractions using linear factors.
Quiz this week: Section 8.2
Last updated: 2/18/2019