Homework for Advanced Calculus
Fall 2000

The page and exercise numbers refer to Principles of Mathematical Analysis,Third Edition, by Walter Rudin.

M 28 August

Read and think hard about the material in pages 1-8; Exercises 1-4, p. 21.

W 30 August

Exercise 5, p. 22.

F 01 September

Study pages 12-17; Exercises 8-14, p. 22.

W 06 September

Continue work on previously assigned problems.

F 08 September

Work on Handout Homework Set 1.

M 11 September

Write up solutions to exercise 5, p. 22, exercise 1 of Homework Set 1, and one of exercises 3, 8, or 13 of Homework Set 1. These are due next Monday, 18 September.

W 13 September

Continue work on previously assigned problems.

F 15 September

Write up solutions to hand in on Monday. See 11 September.

M 18 September

Hand in Homework Set 1 assigned 11 September. Exercises 8-14, p. 22 again as well as 15 and 18.

W 20 September

Start studying pages 24-30. Exercises 2-5, p. 43.

W 27 September

Continue studying pages 24-30.

W 02 October

Work on Handout Homework Set 2.

W 07 October

Homework Set 3 is a list of various properties of functions and their interactions with the set-theoretic operations of union, intersection, and difference. These are to be worked as needed. In presenting proofs in class, I will sometimes prove some of the statements on this sheet when I use them for the first time.

M 09 October

Write up solutions to exercises 1, 2(i), 5(ii), and 5(iii) of Homework Set 2. These are due next Monday, 16 October.

F 13 October

Exercises 6-10, p. 43.

M 16 October

Hand in assignment from 9 October.

F 20 October

Exercises 12-15 and 22-25, pp. 44-45.

W 25 October

Work on Handout Homework Set 4.

M 30 October

Exercises 19 and 20, p. 44.

W 01 November

Study for the mid-term test on Friday. We will not meet class today. I will have extended office hours, from 8 am until 11 am, if you wish individual help.

F 03 November

Mid-term Test! The in-class portion is open book and open notes. The take-home portion is due Monday, 06 November.

M 06 November

Hand in take-home portion of the mid-term test.

F 17 November

Exercises 1-4, 20, 23-25, pp. 78-82.

F 01 December

Write up solutions to Exercises 1, 3, 20, 23 on pp 78-82 of Rudin and the Exercise 1 on the handout from class today. These are due next Friday, 8 December.

F 08 December

Hand in homework assignment from last Friday. Study for the in class final exam on Wednesday.

W 13 December

Final Exam, 12:30-2:30.

Homework for Spring Semester 2001

F 08 January

Review the basics of limits of sequences and series. Look particularly at limsup and liminf (definitions and basic properties) and Theorem 3.20.

Exercises 6, 7, 8, 11, 16, 17, pp. 78-82.

W 24 January

Write up exercises 6, 7, 8, 16 pp. 79-82 to hand in next Wednesday.

F 26 January

Exercises 1-4, p. 98.

W 31 January

Assignment from 24 January due.

F 09 February

Exercises 6, 7, 8, 12, 14, 15, p. 99.

M 12 February

Exercises 18, 20, 21, 24, p.100.

W 21 February

Exercises 1, 2, 4, p. 114.

Assignment #2, due F 2 March.

M 05 March

Exercises 14, 15, 16, 22, 26, 27, p. 115.

F 23 March

Exercises 2, 4, 7, 13, 14, 15, 16, 18, p. 138.

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