Math 142A: Introduction to Analysis I, Winter 2020

Time and Place: TuTh 8:00am-9:20am in AP&M B402A

Instructor: Ioan Bejenaru
E-mail: ibejenar@ucsd.edu
Office: AP&M 6230
Office Hours: Tu 9:30-10:30am, Th 11-11:50am.

Section A01: Tu 5-5:50pm in APM 7321
Teaching Assistant: Zihao Li
E-mail: zil108@ucsd.edu
Office: APM 2331
Office Hours: Mo 4-6pm

Announcements:

Final exam information. Material covered: All chapters covered.
Format of the final exam: Zoom proctored exam. Read the checklist here ; you need to read the Integrity Pledge here .
Second midterm information. Material covered: Chapters 2.9,2.10,2.11,2.12,2.14; you are also supposed to be familiar with the material covered by Midterm 1.
Practice midterm is available here .
Solutions for the practice midterm are available here .
Extra OH for the midterm: Monday, Feb 24 3-4pm.
First midterm information. Material covered: Chapters 1.1,1.2,1.3,1.4,1.5,2.7,2.8
Practice midterm is available here .
Solutions for the practice midterm are available here .
Extra OH for the midterm: Monday, January 27 2-3pm.
Hints for preparing for the midterm: Make sure you read the theory and examples, both from textbook and notes. If time allows, practice on the problems which were not assigned (but related to Chapters 1.1-2.8).
All course information will be updated on this site.

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 (Second Edition) by K. Ross. We will cover most of chapters 1-3.

Homework: Homework will be assigned weekly. Homework should be submitted on Gradescope. Homework is due every Wednesday by 11:00pm. No late homework will be accepted. If, for any reason, you cannot turn in a homework assignment, keep in mind that the lowest two scores will be dropped.

Midterm Exams: There will be two in-class midterms: the first on Tuesday, January 28th, and the second on Tuesday, February 25th. 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 Thursday, March 19, 8am-11am.

Exam policy (applies to all midterms and final): Cheating will be taken very seriously and automatically reported to the Academic Integrity Office. The use of any electronic devices (cell-phone, smart watch, earbud, calculator, etc) is prohibited during exams and it will be considered cheating, thus it will be reported to the Academic Integrity Office.

Grading: Your final score will be calculated as the maximum of the following two schemes:
(1) 20% Homework + 20% First Midterm + 20% Second Midterm + 40% Final Exam
(2) 20% Homework + 20% Best Midterm Exam + 60% 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.

List of homework assignments:
- Homework 1, due January 16: 1.1,1.5,1.8,2.2,3.5,3.6,3.7,4.1(g,i,j,k,m), 4.2 and 4.3 (same as in 4.1). Solutions
- Homework 2, due January 22: 4.5,4.7,4.11,4.14,7.1(a,c),7.3(b,c,g,l,o),8.2(a,c,e),8.3,8.4,8.5,8.6,8.8(a,b),8.9 Solutions
- Homework 3, due January 30: P1: 9.1,9.4,9.8, P2: 9.9,9.11, P3: 9.12,9.14,9.16 Solutions
- Homework 4, due Feb 6: P1: 10.1,10.4,10.5 P2: 10.6,10.7 P3: 10.9,10.10,10.12 Solutions
- Homework 5, due Feb 12: P1: 11.2, P2: 11.5,11.6,11.8, P3: 11.9,11.11 Solutions
- Homework 6, due Feb 19: open here Solutions
- Homework 7, due Feb 28: P1: 15.1,15.4(a,d),15.6; P2: 17.1, 17.3(a,b,c,g),17.4; P3: 17.5,17.6 Solutions
- Homework 8, due March 4: 17.9(b,c),17.12,17.13,17.15; P2: 18.4,18.5,18.6; P3: 18.8,18.9,18.12 Solutions
- Homework 9, due March 11: P1: 19.1(a,c,e), 19.2(a,c), 19.4; P2: 19.5(b,d),19.6,19.7; P3: 19.9,19.10
- Homework 10, not to be handed in: 20.1,20.5,20.11,20.12,20.13,20.16,20.20.