Fall 2019 - MATH 603 G001
Foundations of Mathematics (4)
Class Number: 4131
Delivery Method: In Person
Course Times + Location:
Tu 4:30 PM – 8:20 PM
AQ 5049, Burnaby
1 778 782-3662
Prerequisites:Acceptance into the MSc program in mathematics education or permission of the department. Graduate students in the Department of Mathematics cannot take this course to satisfy their degree requirements.
Crises in mathematics, their historical and philosophical background and their resolution.
The course will focus on "great theorems" and "big ideas" of mathematics. The "great theorems" to be "covered" will be chosen from the following list:
- The Fundamental Theorem of Arithmetic
- The Fundamental Theorem of Algebra
- The Fundamental Theorem of Calculus
- Pythagoras and friends
- The three Greek construction problems
- The Four Color Theorem
- Numbers (journey from Whole to Transfinite);
- Logarithms: Sets; Induction and Recursion; Zero and Infinity;
- Functions and Variables;
COURSE-LEVEL EDUCATIONAL GOALS:
Students explore foundational ideas in mathematics and great theorems
Students enhance personal problem solving skills
Students get initial introduction to mathematics education research
- Homework Assignments 60%
- Project (the topic will be chosen in consultation with instructor) focused on either a detailed exploration of a mathematical idea through history or of a mathematician's work and life, together with an in-class presentation. 40%
Readings will be provided by the instructor
Imre Lakatos (1976) Proofs and Refutations: the Logic of Mathematical Discovery, Cambridge: Cambridge University Press.
Graduate Studies Notes:
Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.
SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the University community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS