# Course Materials for Math 327: Introductory Real Analysis

These materials are for Math 327,
taught by Anne Greenbaum in the Autumn term of 2008 at the
University of Washington.
Syllabus:
syllabus

## Assignments and handouts.

HW1: Page 65, Problems 1, 2, 4, 5, and 6. Justify all of your answers
(e.g., prove that each sequence in problem 1 does or does not have a
limit).
(You can check some of your answers in the back of the book.) (Due Fri.,
Oct. 3)

HW2: Due Fri., Oct. 10:
homework2 pdf file

Practice problems on limits:
practice_limits pdf file

Partial solutions to practice problems on limits:
limit_answers pdf file

Midterm 1: Wed., Oct. 15. Mainly on limits, may require an induction proof.

HW3: p. 79, problem 2; p. 82, problem 5; p. 83, problems 1, 2, and 7.
(Due Fri., Oct. 17)

HW4: p. 516, problems 1, 2, 3, and 6; p. 517, problem 1. (Due Fri., Oct. 24)

HW5: Due Fri., Oct. 31:
homework5 pdf file

Practice problems for Midterm 2:
practice_problems2 pdf file

Partial solutions to practice problems for Midterm 2:
practice_answers2 pdf file

Midterm 2: Wed., Nov. 5. Mainly on Chs. 2 and 16, but also need to know
material from previously covered sections (e.g., limits of sequences).

HW6: Due Fri., Nov. 7. p. 568-9, problems 1a,c,g; 2; p. 576, problems
1a,c; 2; 5a,c.

HW7: Due Fri., Nov. 14. p. 581, problems 1a,c,e; 2; p. 585, problems
1; 3a,b; p. 589, problems 1a,d; 2b,d.

HW8: Due Fri., Nov. 21. p. 595, problems 1a,b; 2c; 3a; p. 604, problem 2;
p. 607, problem 3; p. 608, problem 6a,b.

HW9: Due Wed., Dec. 3. p. 617, problems 1a,b; 2; p. 620, problems 1a,b; 2;
p. 621, problems 2, 3; p. 623, problems 1, 2; p. 626, problems 1a,b,f.

Practice problems on convergence of sequences and series, pointwise vs uniform
convergence:
practice_problems3 pdf file

Partial solutions to practice problems for Final:
practice_answers3 pdf file

Final: Wed., Dec. 10, 8:30-10:20. You may bring one 8.5 X 11 sheet of notes
(one side only).