Calendar: MAT 401-01 Fall 2009

• 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
• 2nd Week: Sept. 7 - 11
  • Monday Sept. 7: Labor Day holiday. No classes.
  • Wednesday: Finish the rest of chapter 1
• 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
• 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).
• 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.
• 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:
• 7th Week: Oct. 12 - 16
  • Monday:
  • Wednesday:
• 8th Week: Oct. 19 - 23
  • Monday: Test
  • Wednesday: 5.6 Uniform continuity.
• 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.
• 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
• 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.
• 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.
• 13th Week: Nov. 23 - 27
  • Monday:
  • Wednesday:
• 14th Week: Nov. 30 - Dec. 4
  • Monday:
  • Wednesday:
• 15th Week: Dec. 7 - Dec. 22
  • Monday:
  • Wednesday:
• 16th Week: Dec. 14 - Dec. 18
  • Final Exam Wednesday Dec 16 5:30-7:30pm