Johannes Brust (Instr.)Jiang Wang (TA)
Office/student hrs:Office/student hrs:
MF, 4p-5p, APM 6422R, 11a-12p, APM 1161
W, 4p-5p, [Zoom]Sat., 10a-12p, [Zoom]

Welcome to Math 142A (Lecture C, Fall 2021)

This page supplements materials to ``Introduction to Analysis I''

As one can imagine, analysis is about reasoning in basic (fundamental) terms. As such this class involves a valuable amount of mathematical proofs. One may use the materials as a prerequisite for advancing further in math (for instance, M142B) or to venture into computational directions (for instance, numerical analysis)

Memo to the student:

Remember, this class is here to help succeed in learning the subject.

  • Homework problems will help prepare for Quiz, Midterm and Final questions
  • •Being active in Lecture, Discussion and office hours will help to learn
  • •Ask for help when feeling stuck


Dec 1 • Lectures 26,27,28,29 and podcasts posted.
Recall: CAPE evaluations []
Nov 19 • Lecture 25 and podcasts posted.
Nov 17 • Lectures 22,23,24 and podcasts posted.
Nov 12 • Lectures 20,21 and podcasts posted.
Oct 29 • Lectures 17--19, podcasts, HW6 and Quiz 2 solutions posted. HW7 online, too.
Oct 29 • Lectures 16 and podcast posted.
Oct 27 • Lectures 11 -- 15 and podcasts posted.
Oct 15 • Lecture 10 and practice exam posted.
Oct 11 • HW 3 posted. Also solutions HW2 and Q1 added.
Oct 8 • Lecture 5,6,7 notes posted
Oct 4 • Lecture 4 notes posted and HW1 solutions
Sep 29 • Lecture 3 notes posted
Sep 24 • To access lecture notes and homework (username,password) are UCSD username and Student ID, e.g., ("jjbrust", "A12345678")
Sep 22 • Discussion sections won't meet on F. Sep 24


All times in Pacific Time

Lectures: MWF, 3p-3:50p in PETERSON HALL 102

Discussions: F, APM 7321
C01: 5p-5:50p or C02: 6p-6:50p


(Note: Schedule and policies may be updated throughout the quarter)

Remember: Remotely: two midterms, three quizzes and one final

Week Lect.DateTopicNotes
01Fri, Sep 24, 21Intro. and Sec. 1.1 [Lec. 1],[vid.]
12Mon, Sep 27, 21Secs. 1.2 & 1.3[Lec. 2],[vid.]
13Wed, Sep 29, 21Secs. 1.4 & 1.5[Lec. 3],[vid.]
14Fri, Oct 01, 21Secs. 2.7 & 2.8[Lec. 4],[vid.]
25Mon, Oct 04, 21Sec. 2.9 [Lec. 5],[vid.]
26Wed, Oct 06, 21Secs. 2.9 & 2.10[Lec. 6],[vid.]
27Fri, Oct 08, 21Quiz 1 (avail) & Secs. 2.9 & 2.10[Lec. 7],[vid.]
38Mon, Oct 11, 21Sec. 2.10[Lec. 8],[vid.]
39Wed, Oct 13, 21Secs. 2.10 & 2.11[Lec. 9],[vid.]
310Fri, Oct 15, 21Secs. 2.10 & 2.11[Lec. 10],[vid.]
411Mon, Oct 18, 21Sec. 2.11 [Lec. 11],[vid.]
412Wed, Oct 20, 21Midterm 1 (8p-9:20p, REMOTE)[Lec. 12],[vid.]
413Fri, Oct 22, 21Sec. 2.12[Lec. 13],[vid.]
514Mon, Oct 25, 21Sec. 2.14[Lec. 14],[vid.]
515Wed, Oct 27, 21Sec. 2.14[Lec. 15],[vid.]
516Fri, Oct 29, 21Sec. 2.14[Lec. 16],[vid.]
617Mon, Nov 01, 21Sec. 2.14[Lec. 17],[vid.]
618Wed, Nov 03, 21Secs. 2.14 & 2.15[Lec. 18],[vid.]
619Fri, Nov 05, 21Quiz 2 (avail) and Sec. 2.15[Lec. 19],[vid.]
720Mon, Nov 08, 21Sec. 3.17 [Lec. 20],[vid.]
721Wed, Nov 10, 21Secs. 3.17 & 3.18[Lec. 21],[vid.]
722Fri, Nov 12, 21Sec. 3.18 [Lec. 22],[vid.]
823Mon, Nov 15, 21Secs. 3.18 & 3.19[Lec. 23],[vid.]
824Wed, Nov 17, 21Midterm 2 (8p-9:20p, REMOTE)[Lec. 24],[vid.]
825Fri, Nov 19, 21Sec. 3.19[Lec. 25],[vid.]
926Mon, Nov 22, 21Sec. 3.20[Lec. 26],[vid.]
927Wed, Nov 24, 21Sec. 3.20[Lec. 27],[vid.]
928Fri, Nov 26, 21Thanksgiving
1029Mon, Nov 29, 21Sec. 3.20 [Lec. 28],[vid.]
1030Wed, Dec 01, 21Review and final prep.[Lec. 29],[vid.]
1031Fri, Dec 03, 21Quiz 3 (avail) and final prep.[Lec. 30],[vid.]
1032Sat, Dec 04, 21Final Exam (12:20p-2:29p, REMOTE)


Textbook:Elementary Analysis: The Theory of Calculus (2nd ed.),
Kenneth A. Ross (available freely to UCSD students [Library Catalog])
Content:We will cover non-starred parts of chapters 1-3
Homework:We will use 9 HW sets (to learn and practice the subject)
Assessment:All exams/quizzes remote via Gradescope (Pacific Times)
Quizzes available for n hours (spanning two days)
Quiz 1 (start: R. Oct. 7, 2pm -- end: F. Oct. 8, 5pm), [link], [soln]
Quiz 2 (start: R. Nov. 4 -- end: F. Nov. 5), [link], [soln]
Quiz 3 (start: R. Dec. 2 -- end: F. Dec. 3), [link], [soln]
Midterm 1 (W. Oct. 20, 8pm -- 9:20pm), [prac.], [link], [soln]
Midterm 2 (W. Nov. 17, 8pm -- 9:20pm), [prac.], [link], [soln]
Final (Sat. Dec 4, 12:20pm -- 2:29pm), [prac.]


Weighted final scores:

10% Homework
20% Quizzes (10% each quiz, best 2 of 3)
40% Midterms (20% each midterm)
30% Final exam

Letter grades from weighted final scores and the best of two options

  • (Option A):
  •  A+   A   A-   B+   B   B-   C+   C   C-   D   F 
     97   93   90   87   83   80   77   73   70   60   60> 

  • (Option B):
  • A curve where the median corresponds to B-/C+



Canvas (Course page)
Gradescope (Examination system)
Piazza (Portal to ask questions)


To access use the UCSD "AD username" (username) and "Student ID" (password)

Homework 1, [link], [soln] (due Oct. 1, Secs. 1.1 -- 1.5)
Homework 2, [link], [soln] (due Oct. 8, Secs. 1.5, 2.7, 2.8 & partly 2.9)
Homework 3, [link], [soln] (due Oct. 15, Secs. 2.9 & 2.10)
Homework 4, [link], [soln] (due Oct. 22, Secs. 2.10 & 2.11)
Homework 5, [link], [soln] (due Oct. 29, Secs. 2.12 & 2.14)
Homework 6, [link], [soln] (due Nov. 5, Secs. 2.14 & 2.15)
Homework 7, [link], [soln] (due Nov. 12, Secs. 2.15 & 3.17)
Homework 8, [link], [soln] (due Nov. 20 (Updated), Secs. 3.18 & 3.19)
Homework 9, [link], [soln] (due Nov. 30, Secs. 3.19 & 3.20)

Instructions (homework):

• Total of 9 HW sets. Cumulative HW grade based on the best 8 out of 9.
HW 1 -- 8 submitted to Gradescope by Friday 11:00 pm Pacific Time.
(Note: To be prepared for unforeseen technical difficulties, we will accept homework submitted within 24 hours from the due date, i.e., Saturday 11:00 pm, without a penalty.)
HW 9 submitted to Gradescope by Tues. November 30, 11:00 pm Pacific Time.
(Note: To be prepared for unforeseen technical difficulties, we will accept homework submitted within 24 hours from the due date, i.e., Wed. December 1, 11:00 pm, without a penalty.)
• Please write your section number on your homework.
• In view of the above arrangement, NO late homework will be accepted.
• You can work with classmates, but need to write down your own version. Copying solutions from others is not accepted and is considered cheating.
• A good portion of the exams will be based on the weekly problems. So it is extremely important for you to make sure that you understand each one of them.


Please notice that outside factors, including the need for a certain grade for admission/retention in any academic program, scholarship or transfer credit, graduation requirements or personal desire for a specific grade DO NOT appear in the determination of course grades. Effort, improvement, class attendance and participation will all dramatically improve your grade in the course in that they will allow you to do well on exams, and the final exam. They will NOT, however, actively participate in the calculation of course grades.

Accommodations: Students requesting accommodations and services due to a disability for this course are asked to provide a current Authorization for Accommodation (AFA) letter issued by the Office for Students with Disabilities (OSD), prior to eligibility for requests. Receipt of AFAs in advance is necessary for appropriate planning for the provision of reasonable accommodations. OSD Academic Liaisons also need to receive current AFA letters. Students can find department-specific information on exam accommodations on the following Math Department webpage:

    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.  It is in the student's very best interest to maintain academic integrity. (Click here for more information.)