Math 142A: Introduction to Analysis I, Lecture A00, Fall 2019

Time and Place: MW 6:30p-7:50p CENTR 109

 Instructor: Adrian Ioana E-mail: aioana@ucsd.edu Office: APM 5210 Office Hours: M 3-4pm and W 5:20-6:20pm. Section A01: Th 7:00p-7:50p TM 102 Section A02: Th 8:00p-8:50p TM 102 Teaching Assistant: Hui Tan E-mail: hutan@ucsd.edu Office: AP&M 5412 Office Hours: Tu 12-1:30pm and Th 3:30-6pm.

Announcements:

• 11/26: The final exam will cover all sections covered this quarter up to (and including) section 3.2. Here are some additional practice problems (provided without solutions) for the material covered since midterm 2.
• 11/04: Here is a practice midterm 2 (provided without solutions).
• 11/04: The second midterm (in class, November 18th) will cover up to (and including) section 2.15.
• 10/13: Here is a practice midterm 1 (provided without solutions).
• 10/13: The first midterm (in class, October 21st) will cover sections 1.1-1.5, 2.7-2.9 and part of section 2.10 (up to and including Corollary 10.5). I recommend that you do Homework 3 before Midterm 1.
• 09/26: The instructor's office hours will start on Monday, October 7.
• 09/26: Your scores will be recorded on CANVAS. Course announcements and materials will be posted on this website; we will only use CANVAS for recording grades.
• Welcome to Math 142A!

Prerequisites: Math 31CH or Math 109, or consent of instructor.

Course description: First course in an introductory two-quarter sequence on analysis. Topics include: the real number system, numerical sequences and series, limits of functions, continuity. Students may not receive credit for both Math 140 and Math 142A.

Textbook: Elementary Analysis: The Theory of Calculus (second edition) by Kenneth A. Ross. (The textbook is available for free to UCSD students on the campus network, and can be found by searching in UCSD's Library Catalog) We will cover the non-starred parts of chapters 1-3.

Reading: Reading the sections of the textbook corresponding to the assigned homework is considered part of the homework assignment; you are responsible for material in the assigned reading whether or not it is discussed in the lecture. It will be expected that you read the assigned material in advance of each lecture.

Homework: Homework will be assigned most weeks. Homework is due Friday by 5:00pm and should be placed in the drop-box in the basement of APM There will be a total of eight problem sets and you should attempt to complete all of them. No late homework will be accepted. If, for any reason, you cannot turn in a homework assignment, keep in mind that the lowest score will be dropped.

Midterm Exams: There will be two in-class midterms: the first on Monday, October 21st, and the second on Monday, November 18th. There will be no make-up exams. If, for any reason, you cannot make it to one of the midterms, you will automatically receive grading option (2).

Final exam: The final exam is scheduled for Monday, 12/09/2019 from 7:00p-9:59p, location TBA

Note: No electronic devices or cheat sheets are allowed during exams.

Grading: Your final score will be calculated as the maximum of the following two schemes:
(1) 10% Homework + 25% First Midterm + 25% Second Midterm + 40% Final Exam
(2) 10% Homework + 25% Best Midterm Exam + 65% Final exam

In addition, you must earn a passing grade on the final examination in order to pass the course.

Regrades: Homework and midterm exams will be returned in the discussion sections. If you wish to have your homework or exam regraded, you must return it immediately to your TA. Regrade requests will not be considered once the homework or exam leaves the room. If you do not retrieve your homework or exam during discussion section, you must arrange to pick it up from your TA within one week after it was returned in order for any regrade request to be considered.

Collaboration: You are allowed to discuss homework problems with your classmates. However, the final write-up of solutions should be your own work, and reflect your own understanding of the problems. Copying or paraphrasing part of the solution to a homework problem from a classmate or from the internet is considered academic dishonesty.

Academic dishonesty: Academic dishonesty is considered a serious offense at UCSD. Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university (see here for more information).

List of homework assignments:

• Homework 1, due October 11th: 1.2, 2.3, 3.6, 3.8, 4.7, 4.8, 4.14 [part (b)], 7.3 [parts (a), (c), (i), (l)].
• Homework 2, due October 18th: 8.1 [parts (b) and (c)], 8.3, 8.5 [part (b)], 8.8 [part (b)], 8.10, 9.1, 9.5, 9.7.
• Homework 3, due October 25th: 9.9. [part (c)], 9.12 [part (a)], 9.14, 10.1, 10.2, 10.5, 10.8, 10.11 [part (a)].
• Homework 4, due November 1st: 10.6, 10.7, 11.3, 11.6, 11.7, 11.8, 11.9 [part (a)], 11.10.
• Homework 5, due November 8th: 12.2, 12.4, 12.14 [part (a)], 14.1, 14.4, 14.6, 14.7, 14.8.
• Homework 6, due November 15th: 14.9, 14.10, 14.12, 14.14, 15.2, 15.3, 15.6, 15.7.
• Homework 7, due November 22nd: 17.2, 17.4, 17.7 [part (b)], 17.9 [parts (a) and (c)], 17.10 [parts (a) and (b)], 17.11, 17.12, 17.13.
• Homework 8, due December 6th: 18.4, 18.5, 18.6, 19.3, 19.4, 19.7, 20.11, 20.18.

Calendar of topics to be covered by week (approximate and subject to change during the quarter):

• Week 1: M (1.1, 1.2, 1.3) and W (1.3, 1.4, 1.5).
• Week 2: M (2.7, 2.8) and W (2.8 and 2.9).
• Week 3: M (2.9) and W (2.10 and review).
• Week 4: M (midterm 1) and W (2.10).
• Week 5: M (2.11) and W (2.11 and 2.12).
• Week 6: M (2.14) and W (2.14 and 2.15).
• Week 7: M (holiday) and W (2.15 and review).
• Week 8: M (midterm 2) and W (3.17).
• Week 9: M (3.18) and W (3.19).
• Week 10: M (3.19 and 3.20) and W (3.20 and review).