Homework is due at 3:10 on Wednesdays, but can be handed in earlier in lecture.

Due April 8: Homework 1

Due April 15: Homework 2

Due April 22: Chapter 2: 12, 14, 15, 16, 19, 22.

Due April 29: Chapter 2: 21, 24. Prove that the Cantor set contains no segments.

Due May 6:
I. Chapter 3: 1, 2, 6.

II. Do any problems from the midterm for which you received less than seven points partial credit; also do the dropped problem, Problem 2.

III. Write a brief (one to three paragraphs) assessment of your performance on the midterm. E.g.: Did you budget your time effectively? Was your crib sheet useful? Did you misread any of the problems? Were there key components of the material you didn't adequately understand?
Based on your self-assessment, prepare a list of "action items" to implement. (I.e., prepare a specific to-do list to improve your performance on written timed math exams.) Even if you did very well on the midterm, please consider any improvements that might help you to do even better on the final.
Please write up part III separately from parts I and II, and hand your midterm in with this assignment.

Due May 13:
Problems 16, 19, 20 21, 23 from text.
Prove the statements made in subsection 3.18 (examples of lim inf and lim sup).
Read problem 22, but don't do it.

Due May 20:
Chapter 3: 6, 9, 10, 14ab
Chapter 4: 1, 3

Due May 27:
Chapter 4: 2, 4, 6, 15
Show that the functions f(x) = x^3, i.e. x cubed, and f(x) = sqrt(|x|), i.e. the square root of the absolute value of x, are continuous everywhere on the real line.

Due June 3:
Chapter 4: 8, 9, 12, 20b
Chapter 5: 1
Compute f'(x) for f(x) = x^3 and f(x) = sqrt(x), x > 0.

Specifications and recommendations

Late homework will be discounted and, at the discretion of the grader and/or the instructor, may not be accepted.

Your homework should be neatly written and well-organized, with the pages securely fastened together and your name on every page. Many of the exercises involve several nontrivial steps; make it clear to your readers (and yourself!) what it is you're doing at each step.

Clearly number the exercises and try to submit them in numerical order; if any problems are out of sequence, indicate that at the beginning of the assignment. (You don't need to solve them in order, just submit them in order.) The grader should not have to hunt through several pages to find a particular problem.

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