Homework for Advanced Calculus
Spring 2004

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

F 09 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, 14, 16, 17, pp. 78-82.

W 21 January

Assignment 1, due Monday 02 February.

M 02 February

Assignment 1 due.

Exercises 1-4, 6-8, 12, 14, 15,18, 20, 23, 24, pp. 98-100.

F 13 February

Assignment 2, due Friday 27 February.

F 27 February

Hand in Assignment 2.

M 01 March

Exercises 1-4, 6, 11, 12, 14-17, 22, 26, 27, pp. 114-119.

F 05 March

Assignment 3, due Monday 29 March.

Homework for Fall 2003 Advanced Calculus I

W 27 August

Read and think hard about the material in pages 1-8; Exercises 1-4, p. 21; Exercises 1-7 on Handout Homework Set #1.

W 03 September

Exercises 8-14 on Handout Homework #1.

F 05 September

First assignment

W 10 September

Exercise 5, p. 22; Study pages 12-17; Exercises 8-14, p. 22.

F 12 September

Hand in first assignment.

Exercises 8, 9, 11, 13-15, p. 22.

M 15 September

Exercises 16-18, p. 23.

W 17 September

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

M 22 September

Continue studying pages 24-30. Exercises 1-5 on Handout Homework Set #2.

F 26 September

Second assignment.

M 06 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.

W 08 October

Hand in second assignment.

Exercises 6-11, pp. 43-44.

F 18 October

Exercises 12-14 and 22-25, pp. 44-45; Exercise 4 on Handout Homework Set #4.

W 22 October

Exercises 15 p. 44; third assignment.

W 05 November

Hand in third assignment.

F 07 November

Pick up take home test from class, hand in by 11 am Monday, 10 November.

M 10 November

Exercises 19 and 20, p. 44; 1-3, p. 78.

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

W 19 November

Fourth assignment.

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