| MTH307: Introduction to Mathematical Rigor |
Instructor: Tom Sharland
Course description: This is an introductory course on the concept of rigour in mathematics. We will move away from the viewpoint of mathematics as a computational subject and begin seeing it as a subject requiring airtight logic and, surprisingly, a fair amount of creativity. Particular topics we will investigate include set theory, methods of proof and applications of these to relations and functions. This is a 3 credit course.
This course is very different to the previous mathematics courses you have taken. You should expect to work hard both inside and out of class to keep up with the course material and make you sure you understand the concepts being covered.
Textbook: Book of Proof by Richard Hammack. The author has very kindly put a free version of the book on his webpage, but a hard copy can also be bought.
Prerequisites: MTH 142.
Homework and Quizzes: Homework will be assigned weekly but will not be collected or graded. However, there will be weekly quizzes which may have problems related to the homework, so you are encouraged to attempt the assigned problems (and more!) - there will be no make-up quizzes without documented evidence as to why the quiz was missed. I am more than happy to discuss homework problems (and more!) in office hours, but you should come prepared to show what you have attempted on a problem before seeking help.
Grade breakdown: The grading scheme will be as follows: