Math 140B

Foundations of Real Analysis II

Announcements

Course Information

Instructional Staff

NameRoleOfficeE-mail
Todd Kemp Instructor AP&M 5202 tkemp@math.ucsd.edu
Jacqueline Warren Teaching Assistant AP&M 5412 j4warren@ucsd.edu

We will be communicating with you and making announcements through an online question and answer platform called Piazza (sign up link: piazza.com/ucsd/spring2016/math140b). We ask that when you have a question about the class that might be relevant to other students, you post your question on Piazza instead of emailing us. That way, everyone can benefit from the response. Posts about homework or exams on Piazza should be content based. While you are encouraged to crowdsource and discuss coursework through Piazza, please do not post complete solutions to homework problems there. Questions about grades should be brought to the instructors, in office hours. You can also post private messages to instructors on Piazza, which we prefer to email.


Our office hours can be found in the following calendar.

Calendar



Class Meetings

DateTimeLocation
Lecture A00 Tuesday, Thursday2:00pm - 3:20pmAP&M B402A
Discussion A01 Wednesday7:00pm - 7:50pmAP&M 5402
First Midterm Exam Tuesday, Apr 198:00pm - 9:00pmCENTR 216
Second Midterm Exam Thursday, May 198:00pm - 9:00pmCENTR 216
Final Exam Tuesday, June 73:00pm - 6:00pmAP&M B402A

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Syllabus


Welcome to Math 140B: the second course (of three) introducing the foundations of real analysis (i.e. the rigorous mathematical theory of calculus). According to the UC San Diego Course Catalog, the topics covered are differentiation, the Riemann-Stieltjes integral, sequences and series of functions, power series, Fourier series, and special functions. Most of the material for these topics will be taken from chapters 5-8 of the text by Rudin. (Students may not receive credit for both Math 140B and Math 142B.)

Prerequisite:  Math 140A.

Lecture:  Attending the lecture is a fundamental part of the course; you are responsible for material presented in the lecture whether or not it is discussed in the textbook. You should expect questions on the exams that will test your understanding of concepts discussed in the lecture.

Homework:  Homework assignments are posted below, and will be due at 5:00pm on the indicated due date.  Please turn in your homework assignments in the dropbox in the basement of AP&M.  Late homework will not be accepted. Your lowest two homework scores will be dropped.  It is allowed and even encouraged to discuss homework problems with your classmates and your instructor and TA, but your final write up of your homework solutions must be your own work.

Regrades:  Homework and midterm exams will be returned in the discussion section.  If you notice an error in the way your homework/exam was graded, you must return it immediately to your TA.  Regrade requests will not be considered once the homework/exam leaves the room.  If you do not retrieve your homework/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.

Grading: Your course grade will be determined by your cumulative average at the end of the quarter. The letter grades assigned will depend on the performance of the class.

Your cumulative average will be the best of the following two weighted averages:

In addition,  you must pass the final examination in order to pass the course.  Note also: there are no makeup exams, if you miss an exam for any reason then your course grade will be computed with the second two option. There are no exceptions; this grading scheme is intended to accommodate emergencies that require missing an exam.

Academic Integrity:  UC San Diego's code of academic integrity outlines the expected academic honesty of all studentd and faculty, and details the consequences for academic dishonesty. The main issues are cheating and plagiarism, of course, for which we have a zero-tolerance policy. (Penalties for these offenses always include assignment of a failing grade in the course, and usually involve an administrative penalty, such as suspension or expulsion, as well.) However, academic integrity also includes things like giving credit where credit is due (listing your collaborators on homework assignments, noting books or papers containing information you used in solutions, etc.), and treating your peers respectfully in class. In addition, here are a few of our expectations for etiquette in and out of class.

Accommodations:

Students requesting accommodations for this course due to a disability must provide a current Authorization for Accommodation (AFA) letter issued by the Office for Students with Disabilities (OSD) which is located in University Center 202 behind Center Hall. Students are required to present their AFA letters to Faculty (please make arrangements to contact the instructor privately) and to the OSD Liaison in the department in advance (by the end of week 2, if possible) so that accommodations may be arranged. For more information, see here.

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Homework


Weekly homework assignments are posted here. Homework is due by 5:00pm on Friday, in the dropbox in the basement of AP&M. Late homework will not be accepted.


Lecture Notes


Here are Lecture Notes, continuing from Math 140A, most recently updated on June 1.


Here are self-contained notes on the Weierstrass Function, which is continuous but nowhere differentiable.