MAT 193-02 Calendar Fall 2007
See WeBWorK for a list of on-line homework problems.
This is a tentative schedule for MAT 193-02. Please check this page frequently for new homework assignments and updates.
Section numbers (e.g. "8.1") refer to sections in our textbook.
- 1st week. Aug. 29-31
- 8.1 Sequences
- Obtain a copy of the text if you don't already have one.
- Prove that, if a, b are arbitrary real numbers then |a+b| ≤ |a|+|b| and |a-b| ≤ |a|+|b|.
- Let x=.99999... be the decimal number with an infinite string of nines on the right of the decimal point. Prove that x=1. (Hint: notice that if y = .999...9 is any terminating decimal, with exactly n nines and no other digits on the right of the decimal point, then y < x ≤ 1. )
- Solutions
- (We'll cover this Wednesday): 8.1 #11, 12, 13, 18, 26 in the text. (Hint on #26: L'Hospital's rule may be useful here.)
- Handouts: The Completeness Property, Examples
- 8.2 Series: problems 1,3,5,7 (will do more next week)
- 2nd week. Sept. 3-7
- Monday Sept. 3 Labor Day Holiday
- 8.3 The Integral and Comparison Tests
- Homework: 8.2 #9, 11, 13, 15; 8.3 #3, 7, 9, 10, 14, 17, 20
- 3rd week. Sept. 10-14
- Monday Sept. 10 Quiz
- 8.4 Other Convergence Tests
- Due next Monday: Inequalities Problems from the handout.
- Example of a Well-Written Homework Paper Handwritten solutions to inequalities problems on second week's handout. Your homework papers should look like this. State your hypotheses clearly: what assumptions do you need to make your argument work? Explain your reasoning, use words, not just symbols, when words help to make things clear. Your reasoning should begin with your hypotheses and lead to your conclusions. State your conclusions clearly. Make sure you have written your solution so clearly that another person can understand it. It should be possible for a reader to understand what you have written even if the reader does not know the answer in advance.
- Due next Wednesday: WeBWork problems (see the top of this page for a link to WeBWorK).
- 4th week. Sept. 17-21
- 8.5 Power Series
- 8.6 Representing Functions as Power Series
- 8.7 Taylor and Mclaurin Series
- More WeBWorK problems (see the link at the top of this page).
- 5th week. Sept. 24-28
- 6th week. Oct. 1-5
- 6.1 Integration by Parts
- 6.2 Trigonometric Integrals and Substitutions
- 7th week. Oct. 8-12
- 6.3 Partial Fractions
- 6.5 Approximate Integration
- 8th week. Oct. 15-19
- 6.6 Improper Integrals
- 6.4 Integration with Tables and Computer Algebra Systems
- Review
- 9th week. Oct. 22-26
- Monday Oct. 22 Chapter Test Solutions
- 7.1 Areas between Curves
- 7.2 Volumes
- 10th week. Oct. 29-Nov. 2
- Supplementary homework: write up nicely and turn in 7.2 exercise 44 from the textbook. Due Monday. Click here for diagram.
- 7.3 Volumes by Cylindrical Shells
- 7.4 Arc Length
- 11th week. Nov. 5-9
- 7.5 Applications to Physics and Engineering
- 7.6 Differential Equations
- 12th week. Nov. 12-16
- Monday Nov. 12 Veterans' Day Holiday
- Wednesday, Nov. 14 Chapter Test Solutions.
- 9.1 Parametric Curves
- 13th week. Nov. 19-23
- 9.2 Calculus with Parametric Curves
- Friday Nov. 23 Thanksgiving Day Holiday Break
- 14th week. Nov. 26-30
- 9.3 Polar Coordinates
- 9.4 Areas and Lengths in Polar Coordinates
- 15th week. Dec. 3-7
- Monday Dec. 3 Quiz Solutions
- 9.5 Conic Sections in Polar Coordinates
- Review
- Final Exam Week. Dec. 10-14