Math 142B: Introduction to Analysis II, Winter 2016:

under construction

Office hours: M2-3, W3-4 and by appointment (just talk to me after class or send me an email)

Office: APM 5256, tel. 534-2734


Course book: Advanced Calculus, Patrick M. Fitzpatrick, 2nd edition. We will cover most of Chapters 6-9, except for Chapter 7.

Teaching assistants: Jonathan Conder APM 6132 email: office hours: M:3-5, W4-5, F4-5

Daniel Drimbe APM 6436 email:, office hours: MW9-10

Computation of grade: Your final score will be calculated by using the better score of the following two options:

Option 1: 20% homework + 20% midterm I + 20% midterm 2 + 40% Final

Option 2: 20% homework + 20% better of the two midterms + 60% Final

We will drop the worst two scores of your homework assignments.

Dates of exams: No make-up exams!

Midterm I: January 27, in class

Midterm II: February 24, in class

Homework assignments Homework is to be turned in on Wednesdays by 5pm (unless noted otherwise). We have a dropbox in the basement of APM. Even though homework counts for comparatively little for the overall grade, it is extremely important that you do, or, at least, seriously try to do them. Most of the exam problems will be similar to homework or practice exam problems.

for 1/13: page 141/142: 1, 2, 4, 6, 7, page 149: 1, 3

for 1/20: page 149/150: 6, 7, 9, 12, 13, page 154/155: 1, 4, 6

relevant for midterm: page 159/160: 1, 2, 3, 4, 5, 6, and see also

Practice problems for midterm 1

Information about the midterm: The material will go until including Section 6.4. For reasons explained in class, you will NOT be able to use a cheat sheet. However, I will include a cheat sheet with the exam. You can see a draft of it below which I expect to be close to what you will see in the exam. I will move my office hour on Wednesday to Tuesday, 3-4.

Draft of cheatsheet

for 2/3: page 164/165: 2ab, 4, 5 page 172: 1, 2b, 5, 6, 7

for 2/10: page 202: 2ad, 4 (hint: use the fact that the f and its first two derivatives are continuous functions), 5, pages 207-209: 2, 5, 7, 8, 12

for 2/17: pages 211/212: 2, 3, 5 (try to proceed as in the proof of Corollary 8.15), page 215: 1, 3 (look at Exercise 2 for the example s=2), pages 220/221: 2, 4 (use that g(x) reaches its maximum and minimum at some points in [a,b]), 9

Information about second midterm: The same rules will apply as for the first midterm. The material will go until including Section 8.5.

Practice problems for midterm 2

Below is a draft of the official cheat sheet. I strongly encourage you to first prepare your own cheat sheet. If you do not have the material organized in your brain before the exam, a cheat sheet is likely to be of limited use.

Draft of cheatsheet for second midterm

for 3/2: pages 226/227: 2, 4, 5, page 244: 2, 4, 6, pages 248: 1, 3

for 3/9: pages 249: 4, 6, 7 page 254: 2, 3, 4, page 262: 2, 4

practice problems: p262/263: 6, 11 (hint: show that there exists an r<1 and an N such that (n+1)\alpha^{n+1}/n\alpha^n < r for all n>N), 12,

more problems and info will follow

Final The same rules apply for the final as for the midterms: no cheat sheet, no notes, no calculators. The material goes over all the sections covered in class, until including Section 9.5. You do not need to study proofs as long as you can do all the assigned homework problems and practice problems. You should also go over old midterm problems. Make sure that you do understand the solutions.

Special office hours: Sunday, 3/13: 2-4pm Bring your student ID so that you can enter the APM building.

Draft of cheatsheet for final