Calendar: MAT 401-01 Fall 2009
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1st Week: Aug. 31 - Sept. 4
- Monday: Chapter 1 Properties of the Real Numbers (in textbook). Supplementary notes: Number Systems.
- Wednesday: Read Sections 1.1-1.6, do exercises 1.6.2e,f,h, 1.6.6, 1.6.7, 1.6.10, 1.6.11, 1.6.12, 1.6.16, 1.6.17, 1.6.18, 1.6.19. Due Wednesday Sept. 9. (We'll try to do some of these together in class.) Supplementary notes: Completeness of the Decimal Number System
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2nd Week: Sept. 7 - 11
- Monday Sept. 7: Labor Day holiday. No classes.
- Wednesday: Finish the rest of chapter 1
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3rd Week: Sept. 14 - 18
- Monday: Homework: 2.2 #8, 2.3 #2, 3, 4, 10
- Wednesday: 2.4 #1, 2, 6, 10, 13, 14, 16
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4th Week: Sept. 21 - 25
- Monday: Read sections 2.5, 2.6, 2.7
- Wednesday: Homework: 2.5 #3, 10 and 2.7 #2, 5. For each part of problem 5 either prove the statement or give a counterexample. Due Wednesday Sept. 23 (if you need more time turn it in Monday Oct. 5).
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5th Week: Sept. 28 - Oct 2
- Monday:
- Wednesday: 2.8 #6,8,9, 2.9 #2. (Corrected assignment). Most (maybe all) of these don't require any epsilons, just use the results in the text.
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6th Week: Oct. 5 - 9
- Monday: On Monday we'll cover the Bolzano-Weierstrass theorem (Sect 2.10) and Cauchy sequences (Section 2.11).
- Wednesday:
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7th Week: Oct. 12 - 16
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8th Week: Oct. 19 - 23
- Monday: Test
- Wednesday: 5.6 Uniform continuity.
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9th Week: Oct. 26 - 30
- Monday: 5.6 Uniform Continuity, examples
- Wednesday: 5.6 Uniform Continuity. A continous function on a closed bounded interval must be uniformly continuous, but on an interval that is not closed or not bounded a continuous function need not be uniformly continous.
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10th Week: Nov. 2 - 6
- Monday: 5.7 Extreme Value Theorem
- Wednesday: 5.8 Intermediate Value Theorem. Homework Sect. 5.6 #8,9, sect. 5.8 #6,7 Due Monday 11/16
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11th Week: Nov. 9 - 13
- Monday: if f and g are continuous then the composition fog is continuous. (See chapter 5.2).
- Wednesday Nov. 11. Veterans' Day Holiday. No classes.
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12th Week: Nov. 16 - 20
- Monday: Start chapter 7: Derivatives. Sect. 7.1 Definition of derivative.
- Wednesday: 7.2 Differentiable ⇒ Continuous but the converse is false. Homework Sect. 7.2 #3, 6, 11, 12, 14. Due Monday 11/30.
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13th Week: Nov. 23 - 27
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14th Week: Nov. 30 - Dec. 4
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15th Week: Dec. 7 - Dec. 22
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16th Week: Dec. 14 - Dec. 18
- Final Exam Wednesday Dec 16 5:30-7:30pm