Math 142A: Introduction to Analysis I, Fall 2018:

under construction

Office hours: M2-3, W3-4 and by appointment (just talk to meafter class or send me an email), additional office hour Thursday, November 15, 3-4.

Office: APM 5256, tel. 534-2734

Email: hwenzl@ucsd.edu

Course book: Advanced Calculus, Patrick M. Fitzpatrick, 2nd edition. We will cover most of Chapters 1-4.

Teaching assistants: Yuwen Li, APM 5801, email: yul739@ucsd.edu office hours: Th 10-12 and Jiang Wang, APM 6303, email: jiw078@ucsd.edu, office hours: Th 1-2

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: October 26 in class

Midterm II: November 16 in class

Homework assignments Homework is to be turned in on Friday by noon (unless noted otherwise). We got two drop boxes in the basement of APM for that. 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 the problems. Most of the exam problems will be similar to homework or practice exam problems.

for 10/5: pages 11 and 12, problems 2, 5, 6, 11, 13, 16, 17, 19. Hints: For 16, you can use that if 3 divides b^2, then it also divides b. In 17(c) it should read: if b^2 < c (not r).

for 10/12: page 16: 1, 4, 6, 7, page 20-21: 7, 11, 12, 18

for 10/19: pages 32-34 1, 2, 6, 7, 15, 16, page 37: 5.

relevant for midterm, need not be turned in: page 37: 4, page 42: 2, 5, 6, 9, page 46/47: 1, 12

Hint for Problem 12 on page 47

Information for first midterm

Homework solutions

Solutions for first midterm

for 11/2 : page 46/47: 2, 4, 10 page 57/58: 3, 5, 6, 9, 11

for 11/9 : page 61/62: 3, 5, 7 page 65/66: 3, 4, 9 page 69: 5, 8, 10, 11

relevant for midterm, need not be turned in: page 73-74: 3, 5, 7, 8, page 80-81: 2, 5, 7, 13

Homework solutions for second midterm

for 11/26 (after Thanksgiving): page 80-81: 5, 7, 13, page 85: 3, 4, 5, 6

Solutions for second midterm

for 11/30: pages 93-95, problems 1, 4, 6, 8, 9, 12, 13 and 16.

for 12/7: page 101: 4, 6, 8, page108-110: 2 (there are different cases, depending on the values of a and b), 7, 10, 15, 19

Homework solutions, Sections 4.2 and 4.3

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IMPORTANT: Information and assignments below the dotted line are subject to changes and not yet relevant

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Final The final will be cumulative. You will be allowed one cheat sheet, but no books or calculators. The material will cover the first four chapters of the book. However, it is unlikely that you will see any question from chapter 4.5 beyond, possibly, a true/false question. Also, if you can do the one review problem taken from Section 4.4. given below, you should be fine regarding that section.

For preparation, look at the problems of both midterms, in particular at the ones ypi did not do so well. The same applies to homework problems and problems we did in class. You can do more preparation by looking at problems in your book similar to homework problems. E.g. some review problems would be

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