MATH 1600

Spectrum of Mathematics: Fall 2009

Course Description From Calendar
If you would like to learn more about mathematics and have already done calculus you may want to consider this course. We will visit various mathematical topics differing from those usually studied in high school and introductory calculus. The course, structured in short modules, will mostly consist of lectures, but there will also be opportunities to work in small groups on a problem. This course will help you to discover what mathematics is all about and how it is related to the other sciences.

Pre-requisites for the course are MATH 1000, Advanced placement in Calculus, or permission of instructor.

Instructor: Dr. Dorette Pronk
Office: Rm 302 in the Chase Building
E-mail: pronk@mathstat.dal.ca
Class Hours: Tuesday and Thursday, 11:35AM - 12:55PM (in Room 227, the Seminar Room, of the Chase Building)
Office Hours:
Monday and Wednesday 11 AM - 12 PM;
Tuesday 10 - 11 AM;
or by appointment
Textbook: A Concise Introduction to Pure Mathematics, Second Edition, by Martin Liebeck (Chapman and Hall/CRC, 2006)
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, a small project, a midterm, and a final exam.

Important Dates:
Thursday, September 24 Assignment 1 due: Chapter 1, Problems 1, 2, 3, 5, and the truth tables question
Solutions for the first assignment
Thursday, October 1 Assignment 2 due: Chapter 1, Problems 6, 7(a), 8 (d),(f), Extra Credit: 8(e) and 9
Solutions for the second assignment
Tuesday, October 13 Assignment 3 due: Chapter 6, Problems 2, 3, 7, 10, Extra Credit: 8
Solutions for the third assignment
Tuesday, October 20 Assignment 4 due: Chapter 7: Problems 1(a),(b), 2;
Chapter 8: 2, 3(b); Extra Credit: Chapter 6: 11; Chapter 7: 1(c)
Solutions for the fourth assignment
Tuesday, October 27 Midterm Test (in class) Topics: Sets, Logic and Proofs, Complex Numbers, Polynomial Equations, Induction
Thursday, November 5 Assignment 5 due: Chapter 8: 10(a),12, 13; Chapter 9: 5
Solutions for the fifth assignment
Thursday, November 19 Assignment 6 due Chapter 9: 1,2,4,7, Extra Credit: 3.
Solutions for the sixth assignment
Hint for problem 3: assume that the number of vertices is greater than or equal to 3.
Tuesday, December 1 Assignment 7 due Chapter 22: 3, 4(a),(b) (hint for part (b): use the result from problem 1)
Chapter 14: 1(b),(c), 3; Chapter 15: 1 (for (a), only the first two),7(a),(c);
Chapter 16: 2; Extra Credit: 3.
Solutions for the seventh assignment
Thursday, December 10 Final Exam Review at 1:30 PM
Review sheet for the final exam
Solutions to selected problems from the review sheet for the final exam
Friday, December 11 Final Exam at 12 noon


Topics that we will cover this semester:

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This page was last updated on December 8th, 2009