Agreement with the geometric definition. Math is a difficult and time consuming course, so enroll only if your course load allows it. Continuous functions are integrable. The letter grades assigned will depend on the performance of the class. Reading the sections of the textbook corresponding to the assigned homework exercises is considered part of the homework assignment.

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This corresponds to chapters in Rudin’s book. You should expect questions on the exams that will test your understanding of concepts discussed in mtah lecture.

Properties of the integral: Homework 6due Friday, May 6. Homework 8due Friday, May 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.

## Math 140B – Real Analysis

The due date of some of the problem sets may change during 140g quarter depending on the pace at which we cover the relevant topics. Math A or permission of instructor. Questions about grades should be brought to the instructors, in office hours. There will be 7 problem sets, typically due on Friday at 4: Here are self-contained notes on the Weierstrass Functionwhich is continuous but nowhere differentiable.

## MATH 140B – Calculus And Biology I

According to the UC San Diego Course Catalogthe topics covered are differentiation, the Riemann-Stieltjes integral, sequences and series of functions, power series, Fourier series, and special functions. That way, everyone can benefit from the response. Homework 4due Friday, April Students may not maath credit for both Math B and Math B. You can also post private messages to instructors on Piazza, which mmath prefer to email. There will be no makeup exams. Uniform convergence implies equicontinuity.

It is your responsability to ensure that you do not have a schedule conflict during the final examination; you should not enroll in this class if you cannot mmath for the final examination at its scheduled time. Students will not receive credit for both Math and Math Weekly homework assignments are posted here.

Homework 5due Friday, April The letter grades assigned will depend on the performance of the class. You are expected to write as 1440b would in any professional correspondence.

Your lowest two homework scores will be dropped. Homework is due by 5: Power series can be differentiated term by term.

### Math B – Foundations of Real Analysis II

There are no exceptions; this grading scheme is intended to accommodate emergencies that require missing an exam. APM Office hour: APMThursday Refinements of partitions and effects on upper and lower sums.

The instructors will also monitor and post to Piazza regularly. Homework 1due Friday, April 1. Math is a difficult and time consuming jath, so enroll only if your course load allows it.

Examples of equicontinuous families.