Homework 2 , due Friday, April 8. Your course grade will be determined by your cumulative average at the end of the quarter. The grade is computed as the best of the following weighed averages: Please do not send e-mails that are curt or demanding. There will be two evening midterm exams and a final exam; dates, times, and locations posted below.

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Your lowest two homework scores will be dropped.

Math B – Real Analysis

There will be 410b midterm exams given on April 26 and May Behaviour at the endpoints and Abel’s theorem. Solutions have been posted on Piazza. First lecture Wednesday, April You are responsible for material in the assigned reading whether or not it is discussed in the lecture. You may bring two double-sided sheets of notes that you prepare yourself. However, the work you turn in must be your own.

Math B – Foundations of Real Analysis II

Homework 4due Friday, April Lower and upper Riemann sums. For more information, see here. Example of a function which is continuous but nowhere differentiable.


There will be no makeup exams. Functions with finitely many discontinuities are integrable. Uniform convergence and differentiability. Your cumulative average will be 10b best of the following two weighted averages: There will be weekly homework assignments due on Fridays; they are posted below. Here are 4 Final Practice Problems focusing on material from later in the quarter.

Noise and common courtesy: Homework 10due Friday, June 3. Late homework will not be accepted.

Uniformly Cauchy sequences and Cauchy’s criterion. Homework 6due Friday, May 6. Here are self-contained notes on the Weierstrass Functionwhich is continuous but nowhere differentiable. This corresponds to chapters in Rudin’s book. While you are encouraged to crowdsource and discuss coursework through Piazza, please do not post complete solutions to homework problems there. Homework Weekly mah assignments are posted here.

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It will be expected that you read the assigned material in advance of each lecture. The main issues are cheating and plagiarism, of course, for which we have a zero-tolerance policy.


That way, everyone can benefit from the response. Riemann’s criterion for integrability.

There are no exceptions; this grading scheme is intended to accommodate emergencies that require missing an exam. Change of variables matn and proof. It will allow you to post messages openly or anonymously and answer posts made by your fellow students, about course content, homework, exams, etc.

The grade is computed as the best of the following weighed averages: 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. Our office hours can be found in the following calendar.