For Students Who Took the AB Version of the AP Calculus Exam

There's only one small topic that SCU covers in a previous class that you may not have seen. That topic is Hyperbolic Functions, which is covered in Math 12. To get yourself up to speed on this topic, you can do either one or both of the following:

- You can read Chapter 9 on pages 567-593 of your book.
- You can read a 10 minute version on the topic from Professor Ostrov's website, which you can directly download by clicking here.

Although many high school AP calculus classes cover some or all of the following five topics, they are not mandated for the AB exam:

- For
**hyperbolic functions**: you can get yourself up to speed on this small topic by doing either one or both of the following:- You can read Chapter 9 on pages 567-593 of your book.
- You can read a 10 minute version on the topic from Professor Ostrov's website, which you can directly download by clicking here.

- For
**l'Hôpital's rule and improper integration**, you can likely pick up most of what you need to know from the book. L'Hôpital's rule is Section 3.8 on pages 216-222. Improper integration is Section 7.8 on pages 491-501. If you have any questions, see your instructor. - For
**integration by parts and partial fractions**, you'll need to do a bit more work. These are two techniques for integrating functions. Integration by parts arises a lot in probability courses like MATH 122 and AMTH 108 and also in differential equations courses like MATH 22, MATH 144 and AMTH 106. Partial fractions is the crucial tool for using Laplace transforms in MATH 22 and AMTH 106. In other words, you need to know these two techniques. You should do either one or both of the following to get up to speed on these:- If you learn well from the book, then just read through the two book sections on these techniques. Integration by parts is Section 7.2 on pages 449-456. Partial Fractions is Section 7.7 on pages 482-491. If you have any questions, see your instructor.
- If you learn better from lectures, find a Math 12 that fits into your schedule. (If you need help to do this, just talk to your current calculus instructor.) Contact the Math 12 instructor teaching that section, and they will let you know when they are lecturing on these two sections. Usually, these sections are covered somewhat late in the quarter. Do not put off attending these lectures until next quarter when you need this material!