# MATH 1002

## Mathematics for Liberal Arts: Winter 2009

This course will give you an introduction into various aspects of mathematics and mathematical thinking.

Instructor: Dr. Dorette Pronk
Office: Rm 302 in the Chase Building
E-mail: pronk@mathstat.dal.ca
Class Hours: Monday, Wednesday, Friday, 10:30 - 11:30 AM, Dunn 302
Office Hours:
 Monday, Friday, 11:30 AM - 12:30 PM; Wednesday, 1:30 - 2:30; or open door or by appointment
Textbook: The Heart of Mathematics. An Invitation to Effective Thinking. 2nd Edition, by Edward M. Burger and Michael Starbird.
Publisher: Key College Publishing, 2005 (for Canada: Wiley Publishing).
If you would like to have a look inside the book, you can check it out here. The book is available at the Dalhousie Bookstore.
Evaluation: Your grade in this course will be based on your work in weekly assignments (they will contain both math problems and essay questions), a midterm, a group project, and a final exam.

Important Dates:
 Monday, January 12 Assignment 1: Essay: describe your experience with mathematics thus far (this can cover your experiences in school, but possibly also in the workplace). How do you see the relationship between mathematics and society? And what do you expect to get out of this course? Friday, January 16 Assignment 1 due for those who entered the class late. Wednesday, January 21 Assignment 2 due Solutions to Assignment 2 Monday, February 2 Assignment 3 due Solutions to Assignment 3 Monday, February 9 Assignment 4 due Solutions to Assignment 4 (the first part) Wednesday, February 18 Midterm Test Friday, March 6 Assignment 5 due Solutions to Assignment 5 Monday, March 16 Assignment 6 due: Problems 1 - 4, 12, 14, 16 of section 4.4 in the book (pages 263 - 267). The Pinwheel Pattern for Problem 12 Additional questions for problem 12: Suppose that someone wants to create a rectangular tiling that comes from a pinwheel pattern. What kind of proportions can you offer for the sides of the rectangle? How many tiles would each one of them take minimally? And how many would it take if you considered those tiles as super-tiles? Solutions to Assignment 6 Monday, March 30 Assignment 7 due Solutions to Assignment 7 A couple more of the questions from the class survey Monday, April 6 Assignment 8 due: Page 659, problem 6 (hint: assume that there are 100 people in the world; then redo your calculations with 10,000 and convince yourself that you get the same answer); Page 712: problems 6, 11, 12, 15, 17, 20; Ketchup versus Mustard Solutions to Assignment 8 Friday, April 17 Final Exam (at 12 PM) in Rm 319 of the Chase Building The exam is cummulative: it covers topics from the whole semester, but there will be more emphasis on the second half. You are allowed to bring one sheet of letter-sized paper with information on both sides as a cheat sheet. Non-programmable calculators are also allowed on the exam.

Topics that we have covered this semester:
• Prime Numbers (Section 2.3)
• Modular Arithmetic and RSA Security Codes (Section 2.4 and 2.5)
• Irrational Numbers (Section 2.6)
• The Pythagorean Theorem (Section 4.1)
• The Art Gallery Problem (Section 4.2)
• The Golden Ratio and Golden Rectangles (Section 4.3)
• The Golden Ratio and Fibonacci Numbers in Nature (Section 2.2 together with the websites listed below)
• Symmetry: rigid symmetries and symmetry of scale, the pinwheel pattern and its special properties (Section 4.4)
• Probability Theory (Sections 7.1, 7.2, and 7.4)
• Describing Statistical Data and the Normal Distribution (Section 7.6)
• Hypothesis Testing (Section 7.7, Pages 615-621)
• Medical Tests (Section 8.2, Page 646-649)
• Cutting Cake for Greedy People (Section 8.5)
• The Fourth Dimension (Section 4.7)

Downloads:

Course Notes:
Projects: Description of the options for the group projects

Links with additional information we have discussed in class: