MTH 108 Topics in Mathematics, Summer Session I 2008
Instructor: Mr. Pakula
Room: Shepard Building Room 427 (NEW!)
Contact: e-mail: pakula@math.uri.edu, webpage: www.math.uri.edu/~pakula/
Final Exam Study Guide
Text: For All Practical Purposes 7th Edition, COMAP, W.H. Freeman and Co.
Introduction: The purpose of this course is to acquaint you with some topics in modern mathematics and their applications to real world problems, to introduce you to some of the intellectual processes, methods, and modes of thought in mathematics. Most of the material will be quite different from mathematics you may have had in high school, and does not depend heavily on your high school background in mathematics although some will be used and reviewed as needed. On the other hand, the course requires careful reading of some difficult text material and the solution of challenging problems. The topics will be
1. Applications of graph theory and algorithms (Chapters 1 and 2 in the text)
2. Models of growth in finance and biology (Selections from Chapters 21-23)
3. Forms, patterns and symmetry (Selections from Chapters 18-20)
4. Analyzing data distributions (Chapter 5)
You will need an inexpensive calculator for some topics and internet access.
Grading: Your grade will be composed as follows:
| Quizzes in class | 50% |
| Final Exam | 35% |
| Homework | 15% |
Homework and readings in the text will be assigned at each class. In all meetings except the first and the last (at which we will have the final exam) there will be a quiz, a total of eight. The lowest grade will be dropped and no makeups will be given. Attendance at every class meeting is expected. Additional information, links, and material will be posted on this page as the course progresses.
Assigment from May 19: Read chapter 1 and first 4-5 pages of chapter 2, do problems on page 22-/1,5,11,12,13,18 and on page 25-/1,10,11,27,31,34 Assignment from May 21: Read Chapter 2 through page 55 (Not section 2.4) and do problems on page 61f/1,3,5,6,9,10,11,12,13 and on page 64f/6,7,8,9,17ab, 24,30,31,34, 35 40a, 49, 51ab Assignment from May 28: Read p. 795-800 and 805-808 and do problems on page 823f/1,2,4,9,11,12 and page 825/3,9.
Assignment from May 30 to HAND IN: p65/10 (Explain in complete sentences), p825/2,4,13a,18,20. For class discussion: p. 825f/17,25
Assignment from June 2: p827/21, p.850/7,8,9,12,16,19,21; p.886/6,7; p.887/2,3. Read pages 809-812,837-846,860-867.
Assignment from June 4: Read 709-714, 716-731(skip 726-7), problems p. 741/1-3,7-10, 13-15, 743/5,7,21,25,27-30.
EXTRA CREDIT: You may hand in any (or all) of the following for extra credit. All work must be ENTIRELY YOUR OWN and must be written in complete sentences with equations or figures as needed.
1. Chapter 2/problems 46
2. Chapter 19/problems 34 and 36
3. Chapter 21/problems 23 and 24
4. Write a 1-2 page biographical sketch of Leonhard Euler which
includes
a description of one of his discoveries that we did not discuss and does
not appear in the text (Suggestion: the V-E+F =2 formula)
5. Same as 4 but for Fibonacci.
NOTE:(for 4 and 5). Direct copying from online sources like Wikipedia is not acceptable (and easily spotted) and you must include at least one reference to a printed source which is not a textbook.
Assignment from June 9 to be HANDED IN June 16: p. 743/33,37,51, 53
Explanations in complete sentences required for all questions.
Also, read pp. 725-738.
Additinal problems for HAND-IN on June 16: p. 751/54,56,63
Solutions to hand-in homework problems not in the book
Assignment from June 11: p.210/2,7,9,10,11,12,18,19,30ab
Assignment from June 16: p. 217/39,41,42,43,47,48. Finish reading chapter 5.