under construction
Office hours: MW 2:30-3:30
Office: APM 5256, tel. 534-2734
Email: hwenzl@ucsd.edu
Course book: Elementary Analysis, by Ken Ross. Chapters 4, 5 and 6
Teaching assistant: Qingyuan Chen, email: qic069@ucsd.edu office hours: M: 6-8 https://ucsd.zoom.us/j/97108359812
Link to discussion A01: https://ucsd.zoom.us/j/98918026102
Computation of grade: The grade is computed from your scores in homework (25%) two midterms (25% each) and the final part A and part B (25% for each part). The avid reader will have noticed that this adds up to 125%: We will choose the three best scores from your midterms and finals part A and B.We will drop the worst two scores of your homework assignments.
Exams: The exams will also be given on gradescope. There will be no make-up exams. The midterms will be given in class. For precise times and dates see the syllabus below.
Tentative Syllabus We will cover most of Chapters 4, 5 and 6 of the course book. The following is a tentative syllabus, which probably will be modified a few times during the course.
| Week | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 1 |
Jan 4
Chap 4.23 |
Jan 6
Chap 4.23/24 |
Jan 8
Chap 4.24
|
||
| 2 |
Jan 11
Chap 4.25 |
Jan 13
Chap 4.25 |
Jan 15
Chap 4.26
|
||
| 3 |
Jan 20
Chap 4.26 |
Jan 22
Chap 4.27
|
|||
| 4 |
Jan 25
Review |
Jan 27
Exam 1
|
Jan 29
Chap 5.28
|
||
| 5 |
Feb 1
Chap 5.29 |
Feb 3
Chap 5.29 |
Feb 5
Chap 5.30
|
||
| 6 |
Feb 8
Chap 5.30
| Feb 10
Chap 5.31 |
Feb 12
Chap 5.31
|
||
| 7 |
Feb 17
Chap 6.32 |
Feb 19
Chap 6.32 |
|||
| 8 |
Feb 22
Review |
Feb 24
Exam 2
|
Feb 26
Chap 6.33 |
||
| 9 |
Mar 1
Chap 6.33 |
Mar 3
Chap 6.33 |
Mar 5
Chap 6.34 |
||
| 10 | Mar 8
Chap 6.34
| Mar 10
Catchup/Review |
Mar 12
Review |
||
| 11 | Mar 19
Final Exam
11:30am-2:30pm |
Lecture 1 Notes: pages in reverse order, please read bottom up
Lecture 4 Uniform convergence Cauchy sequences
Lecture 6 Integration of power series
Lecture 7 Differentiating power series, Abel's theorem
Lecture 8 Abel's Theorem, Weierstrass approximation
Lecture 12 Mean Value Theorem for derivative, derivative for inverse function
Lecture 13 Derivative of inverse function, L'Hospital's rule
Lecture 14 l'Hospital's rule, Taylor's theorem
Lecture 15 Taylor series, examples
Lecture 17 More on integration
Lecture 18 Taylor's theorem, review
Lecture 20 Properties of the Riemann integral
Lecture 21 More properties of the Riemann integral
Lecture 22 Riemann integrals, Fundamental Theorem of Calculus
Lecture 23 Fundamental Theorem of Calculus I and II
Lecture 24 Fundamental Theorem of Calculus, applications
Lecture 25 Review differentiability, continuity, integrability
Homework assignments Homework is to be turned in via gradescope Grade Scope for HW this quarter. You should have received an email prompt by now notifying you of your gradescope enrollment and providing a link to set up your personal account. Although homework counts 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.
You can watch this video which explains how to scan and submit HW online.
for 1/13: Chapter 23: 1, 4, 5, 7, 9, Chapter 24: 2, 9, 10
for 1/20: Chapter 24: 13, 14, 17, Chapter 25: 2, 4, 5, 9, 15(a)
for 1/27: (need not be turned in, but relevant for miderm) Chapter 26: 3, 4, 5, 6, 7
for 2/3: Chapter 28: 3(a), 4, 7, 8 Chapter 29: 2(you may assume that the derivative of sin x is -cos x)F, 5, 7(a), 14
for 2/10: Chapter 30: 1, 4, 6 Chapter 31: 1, 5, 6
for 2/18: Chapter 32: 1, 2, 5, 6, 7(you may use Theorem 33.3(ii)), 8
for 3/3: Chapter 33: 3(a), 4, 7, 8, 9, 13
for 3/10: Chapter 34: 2, 3, 5, 10, 11, 12
relevant for midterm Please scroll down for information after the information for the first midterm
Information about first midterm
CONTENT: The midterm will be a 50-minute exam, similar in nature to the practice exams, see below. You will have an additional 10 minutes to scan and upload the exam (see details below). It is your responsibility to upload your exam on time (10 minutes is a lot of time!). If you do not get it done in time, you wil end up with a serious penalty even if you email it to us soon after the time..
RULES: It will be an open book exam: you will be allowed to consult the textbook, your own notes or previous homework, and the notes posted on Canvas or my webpage by me or by the TAs, but no other resources may be used. In particular, you may not use any online resources, any other printed material (such as solution manuals), or any form of calculator (all arithmetic on the exam will be easy!) and you must not communicate in any way with anyone else during the exam. You will be required to write, sign and submit with your work a statement certifying that you have followed the regulations. Breaches of the rules will be reported to the Academic Integrity office.
TECHNICAL INFORMATION: The exam will be presented through Gradescope in a form similar to a homework assignment, except that it will be timed. When you log in to Gradescope you will be able to see (and/or download) a pdf copy of the exam paper. You should write your answers on your own paper, scan and upload them to Gradescope within 60 minutes - that's 50 minutes official exam time, plus 10 minutes allowance for upload time. (Please assign the pages corresponding to the questions, just as you do for homework.)
DATE AND TIME: The exam will take place during normal class time: 1-1.50pm Wednesday, January 27 PT. Students who currently live in different time zones for whom the time would be very inconvenient should contact me about the possibility of taking the exam at another time by Sunday, January 24. If you do so, please state where you currently live! Only students who have been approved before the exam can take it at a different time.
Material: Chapters 23-26.
relevant for midterm:
Information about second midterm
RULES AND TECHNICAL INFORMATION: The same rules apply as for the first midterm. Please read the information posted above.
DATE AND TIME: The exam will take place during normal class time: 1-1.50pm Wednesday, February 24 PT. Students who currently live in different time zones for whom the time would be very inconvenient should contact me about the possibility of taking the exam at another time by Monday, February 22. If you do so, please state where you currently live! Only students who have been approved before the exam can take it at a different time.
Material: Chapters 28-31.
Please ignore anything below these lines
Information about the midterm:
Information about second midterm:
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.