Home Page for David B. Damiano

= Home Page for David B. Damiano

College of the Holy Cross
Department of Mathematics and Computer Science

MATH 136 - Fall 2013
Prof. David Damiano

Office Hours: MF 11:00 AM - Noon, WR 1:00 - 2:00 PM, and by appointment.

Syllabus

Assignments. All chapter, section, and exercise numbers refer to the textbook.
- #0 Review Exercises from Calculus 1. The following is a sample of the types of problems you should be familiar with from Calculus 1. Look through these problems to make sure they are familiar. Almost all are odd numbered problems whose answers are in Appendix J of the text. If you are unfamiliar with any of these problems please come to office hours or go to the Calculus Workshop for assistance. You DO NOT need to hand-in the solutions to these problems.
  - Chapter 1 Review Exercises (p. 81): 5, 7, 9, 17, 24.
  - Chapter 2 Review Exercises (p. 165): 3, 7, 23, 25, 39, 45.
  - Chapter 3 Review Exercises (p. 248): 5, 7, 9, 13, 15, 45, 51, 67.
  - Chapter 4 Review Exercises (p. 324): 1, 10, 25, 29, .
  - What you should know (mostly) from Calculus 1. Calculus 1 outline with comments.
- #1: Due Monday, September 2. Read Section 4.8.
  - Section 4.8: 1, 2, 4, 8, 9, 10, 14, 16, 19, 21, 23, 24, 26, 28, 29, 30, 41, 42.
- #2: Due Friday, September 6. Read Sections 5.1 and 5.2. Quiz #1, September 6, covering sections 4.8, 5.1, and 5.2.
  - Section 5.1: 2, 4, 9ac, 10ac, (for 9 and 10, see the accompanying Maple Worksheet) 11, 15.
  - Section 5.2: 6, 8, 17, 18, 27, 28, 31, 33, 34, 41, 47.
  - Riemann Sums worksheet. (In the Haberlin computer lab, right click on the link and select
    "Save Link as .." to your desktop. Then open the link from the desktop.)
  - Calculus Concept Question 1.
  - Quiz 1 Sample.
  - Quiz 1 Sample Solutions.
- #3: Due Friday, September 13. Read Sections 5.3 and 5.4.
  - Section 5.3: 1, 3, 5, 7, 11, 14, 16, 18, 25, 32, 38, 40, 53, 54.
  - Section 5.4: 3, 7, 8, 12, 13, 14, 21, 23.
  - Calculus Concept Question 2.
- #4: Due Friday, September 20. Read Sections 5.5, 5.6 and 5.7 (Trigonometric Integrals). Quiz #2, September 20, covering Sections 5.3, 5.4, 5.5, 5.6, and 5.7 (Trigonometric Integrals).
  - Section 5.5: 7, 9, 11, 12, 13, 14, 16, 19, 20, 22, 34, 41, 42, 47, 48, 50.
  - Section 5.6: 3, 6, 10, 11, 14, 17, 23, 25, 26, 28.
  - Section 5.7: 1-7, 9.
  - Calculus Concept Question 3.
  - Handout on techniques of integration.
  - Handout Solutions.
  - Quiz 2 Sample.
  - Quiz 2 Sample Solutions.
- First Exam: Thursday, September 26. 90 minute evening exam. Time/Room TBA.
  - First Hour Exam Sample.
  - First Hour Exam Sample Solutions.
- #5: Due Friday, October 4. Read Sections 5.7 (Trigonometric Substitutions and Partial Fractions), 5.8 (Integration Using Tables), and 5.10.
  - Section 5.7: 15, 18, 21, 22, 23, 25, 26, 30, 32.
  - Section 5.10: 5, 8, 9, 10, 13, 17, 22, 25, 26, 28, 33, 43, 44.
  - Handout on using integral tables.
- #6: Due Friday, October 11. Read Sections 6.1, 6,2, and 6.3. Quiz #3, October 11, covering Sections 5.7 (Trigonometric Substitutions and Partial Fractions), 5.10, 6.1, 6.2, and 6.3. Note: Quiz questions will come from Sections 5.10, 6.1, 6.2 and 6.3 but may use any preceding technique of integration.
  - Section 6.1: 3, 4, 5, 7, 12, 15, 16.
  - Section 6.2: 3, 5, 6, 8, 9, 10, 12-16.
  - Section 6.3: 3, 4, 9, 12, 13, 17, 29, 30, 32, 33.
  - Handout on Area between Curves.
  - Handout Solutions.
  - Quiz 3 Sample.
  - Quiz 3 Sample Solutions.
- #7: Due Friday, October 25. Read Sections 6.4, 6.5, 6.6 (Work and Moments and Centers of Mass only).
  - Section 6.4: 3 - 8, 13, 14.
  - Section 6.5: 1 - 4, 7, 8, 15, 16.
  - Section 6.6: 5 - 8.
- #8: Due Friday, November 1. Quiz #4, Friday, November 1, covering Sections 6.4, 6.5, 6.6 (Work and Moments and Centers of Mass only), and 6.8.
  - Section 6.6: 45 - 48.
  - Section 6.8: 4-15.
  - Four additional problems related to Section 6.8: Cumulative Distribution Functions..
  - Porsche with Meteorite, courtesy of the Gagosian Gallery. , is the artist Chris Burden's striking example of Archimedes Law of the Lever. "Restored 1974 Porsche 914 with 365-pound meteorite, steel frame. Dimensions: 13 ft 6 in x 38 ft 9 in x 13 ft 6 in; car: 3ft 11 1/2in high x 13 ft 6 in long x 5 ft 4 in wide, weight: 2,190 lbs; meteorite: 15 x 17 x 15 in., weight: 365 lbs; steel structure: 13 ft 6 in x 35 ft x 6 ft; 5,025 lbs total. Courtesy the artist."
  - Handout on Centroids.
  - Handout Solutions.
  - Probability figures:
    - Income data, Current Population Survey 2008.
    - Histogram for 2008 Family Income
    - Boston Housing Costs for 1997 and 2008 in 1997 adjusted dollars.
    - Histogram for 10 trials of 50 draws.
    - Histogram for 100 trials of 50 draws.
    - Histogram for 10,000 trials of 50 draws.
    - Galton Board Demonstration.
    - Normal Curves with (mean,SD) = (0,1), (1,2), and (-1,3).
    - Normal Curves with (mean,SD) = (0,1), (10,5), and (20,3).
  - Quiz 4 Sample.
  - Quiz 4 Sample Solutions.
- Second Exam: Thursday, November 7. Swords 359, 6:00-7:30 PM.
  - Second Hour Exam Sample.
  - Second Hour Exam Sample Solutions.
- #9: Due Friday, November 15.
  - Section 7.1: 1, 2, 4, 5.
  - Section 7.2: 3-7, 11.
  - Section 7.3: 1 - 3, 10 -12.
  - Section 7.4: 2, 3, 6, 9, 15, 16.
  - Section 7.5: 3, 4, 10.
  - Handout on Differential Equations.
  - Handout Solutions.
- #10: Due Friday, November 22. Read Sections 7.6, 8.1, and 8.2. Quiz #5, Friday, November 22, covering Sections 7.1 - 7.6, 8.1, and 8.2.
  - Section 7.6: 5, 6, 10, 11.
  - Section 8.1: 5-8, 11-16, 18, 23-26.
  - Section 8.2: 11-16, 19, 21, 23, 24, 36-38.
  - Quiz 5 Sample.
  - Quiz 5 Sample Solutions.
- #11: Due Friday, December 6. Read Sections 8.3-8.7. Quiz #6, Friday, December 6, covering Sections 8.3-8.7.
  - Section 8.3: 6, 8, 9, 10, 13,14, 16, 17, 18, 22.
  - Section 8.4: 5-8, 21-23, 25, 26, 29, 32.
  - Section 8.5: 3-15 odd.
  - Section 8.6: 3-8, 13, 15, 17, 23, 24.
  - Section 8.7: 5-10, 25-31 odd, 43, 44.
  - Quiz 6 Sample.
  - Quiz 6 Sample Solutions.
- Final Exam: This is a comprehensive exam covering the entire semester. Tuesday, December 10, 8:00-10:30 AM, Swords 359.
  - Final Exam Sample.
  - Final Exam Sample Solutions.
Office: Swords 341
Phone: (508) 793-2476
P.O. Box: 48A
email address: ddamiano@holycross.edu

Prof. Damiano's Homepage
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