Math 140A

Foundations of Real Analysis I


Course Information

Instructional Staff

Todd Kemp Instructor AP&M 5202
Maria Warren Teaching Assistant AP&M 5412

We will be communicating with you and making announcements through an online question and answer platform called Piazza (sign up link: 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.


Class Meetings

Lecture A00 Tuesday, Thursday2:00pm - 3:20pmPETER 102
Discussion A01 Wednesday5:00pm - 5:50pmHSS 1315
Discussion A02 Wednesday6:00pm - 6:50pmHSS 1315
First Midterm Exam Tuesday, Jan 268:00pm - 9:00pmPETER 102
Second Midterm Exam Thursday, Feb 258:00pm - 9:00pmPETER 102
Final Exam Thursday, Mar 173:00pm - 6:00pmTBA



Welcome to Math 140A: the first 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 basic properties of the real numbers, complex numbers, metric spaces, sequences and series of real numbers, functions of a real variable, and continuity. Most of the material for these topics will be taken from the first four chapters of the text by Rudin. (Students may not receive credit for both Math 140A and Math 142A.)

Prerequisite:  Math 31CH or Math 109.

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 three 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 one of the second two options. 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.


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 me 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.



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, updated on March 9.

Here are notes on the construction of the real field.