SM230 Syllabus -- Fall 1996 -- USNA

John C. Turner, revision date 08/16/96

Return to SM230 home page.

The text book is Probability Models and Applications, Olkin, et al.

There is a solutions manual on reserve in Nimitz. It contains solutions to the odd numbered problems. For answers to some of the even problems click here.

This syllabus is accessible from the USNA WWW page. Simply connect, then select Academic Departments, Mathematics Department, more Mathematics Department Information, Some Mathematics Courses, SM230. The WWW page for SM230 will be updated during the semester.

  1. Wed. Aug. 21: First day of classes: Read pages 1-15 of Chapter 1. Introduction.
  2. Fri. Aug. 23: Read pages 16-38 of Chapter 2, and solve problems on page 46 #3, 6, 8, 9, 10. Sets and Venn diagrams.
  3. Mon. Aug. 26 - Fri. Aug 30: Read pages 54-77 of Chapter 3 and solve problems on page 78 #3, 4, 7, 8 (four integers are produced), 12, 14, 16, 17. Probability and counting.
  4. Mon. Sept 2 - No class. Labor Day.
  5. Wed. Sept 4 - Mon. Sept 9: Read pages 106-114 of Chapter 4. Solve problems on page 129 #1, 3, 4, 8, 12, 14, 15, 21, 25, 35. Conditional probability and independence. Monty Hall problem. Supplemental problems. Play "Let's Make a Deal" on the Web.
  6. Wed. Sept 11 - Mon. Sept 16: Bayesian search Problem. There is a handout for this assignment. Simple spreadsheet. Single sector spreadsheet.
  7. Wed. Sept 18 - Fri Sept 20: Read pages 144-181 of Chapter 5 and solve problems on page 205 #1, 5, 7, 12, 13, 21. Random variables.
  8. Mon Sept 23: Read pages 215-245 of Chapter 6 and solve problems on page 261 #2, 9, 10, 12, 17, 18. Read pages 279-282 of Chapter 7 and solve problems on page 297 #3, 5a, 5b, 6. Mean, variance and standard deviation.
  9. Wed Sept 25: Review.
  10. Fri Sept 27: Test 1. Practice test.
  11. Mon Sept 30 - Wed Oct 2: Read pages 304-316 of Chapter 8 and solve problems on page 359 # 3, 4, 6, 8. Binomial distribution.
  12. Fri Oct 4: Read pages 316-326 of Chapter 8 and solve problems on page 359 #13, 14, 15, 17. Hypergeometric distribution.
  13. Mon Oct 7: Calculating binomial and hypergeometric probabilities with a programmable calculator TI81, TI82, TI85, HP48. Binomial problems. Supplemental problems.
  14. Wed Oct 9: Read pages 326-334 of Chapter 8 and solve problems page 359 #18, 21. Poisson distribution. TI81, TI82, TI85, HP48
  15. Fri Oct 11: Read pages 334-348 of Chapter 8 ands solve problems page 359 #26, 29, 31. Geometric and negative binomial distributions.
  16. Mon Oct 14: No class. Columbus Day
  17. Wed Oct 16 - Fri Oct 18: Read pages 277-278 of Chapter 7. There is a handout containing exercises for this topic. Sums of random variables.
  18. Mon Oct 21: Review.
  19. Wed Oct 23: Test 2.
  20. Fri Oct 25 - Mon Oct 28: Read pages 375-390, skipping pages 383-384, of Chapter 9 and solve problems on page 415 #1, 2, 4, 6, 9, 12, 13. Normal distribution. TI85 Program
  21. Wed Oct 30 - Fri Nov 1: Read pages 390-408 of Chapter 9 and solve problems on page 415 #17, 18, 19 and page 365 #18. Central Limit Theorem and Normal approximation to binomial distribution. (More problems.)
  22. Mon Nov 4 - Wed Nov 6: Read pages 422-430 of Chapter 10 and solve problems on page 477 #1, 3, 4, 5, 8. Exponential distribution.
  23. Fri Nov 8: Read pages 430-456 of Chapter 10 and solve problems on page 477 #11, 12, 17. There is a handout for this topic. Gamma distribution.
  24. Mon Nov 11: No class. Veteran's Day
  25. Wed. Nov 13: Read pages 453-456 of Chapter 10 and solve problems on page 477 #28a, 28b. Uniform distribution.
  26. Fri. Nov 15 - Mon. Nov 18: Handout covering Functions of a random variable (regular) (Acrobat).
  27. Wed. Nov 20 - Fri. Nov 22: Handout covering Uniform random search.
  28. Mon. Nov 25: Review.
  29. Wed. Nov 27: Test 3.
  30. Fri Nov 29: No class. Thanksgiving.
  31. Mon Dec 2 - Fri Dec 6: Review. See old finals.
John C. Turner
jct@nadn.navy.mil