The Department of Mathematical and Statistical Sciences is unique on campus in that it offers a suite of Honors mathematics courses, ranging from 100- to 400-level courses. The Honors courses form the foundation of most of our Honors programs and are required courses for those programs. However, the courses are open to all strong students with a keen interest in mathematics and its theoretical foundation. In fact, a significant number of students taking Honors courses are not enrolled in one of our Honors programs, but in one of our Specialization programs, or in a Physics, Computing Science, or Engineering program instead. The Honors courses are for all students who enjoy mathematics and are seeking a challenge.
The Honors mathematics courses treat the subjects in depth and are designed to reach the level of rigour used by practicing mathematicians (for example, working with proofs is emphasized in all Honors courses, starting at the 100-level). As such, these courses provide outstanding preparation for graduate research. Graduate coordinators at top universities across Canada and the USA have long recognized the exceptional quality of Canadian undergraduate programs like ours, in large part due to the Honors courses that students can include in their programs.
There is a big difference between university and high school mathematics. Nowhere is this more apparent that in the Honors mathematics courses. It is true that you have to put a lot of work into an Honors course. However, if you love math, you will enjoy it! You will be in a course with other mathematically-talented students, and you receive a stronger mathematical background, which will pay off in the future. We recognize the challenge of our Honors courses, and we have a policy of not penalizing students for taking on a greater challenge:
- Students who take our first- or second-year Honors mathematics courses and later find out it is not for them can, by special arrangement with the Faculty of Science, "downgrade" during the term to a non-Honors version of the course (from MATH 117 to MATH 100, MATH 114, MATH 134, or MATH 144; from MATH 118 to MATH 101, MATH 115, or MATH 146; from MATH 127 to MATH 125; from MATH 217 to MATH 214; from MATH 227 to MATH 225; from MATH 317 to MATH 215). Details about how credit for homework and exams can be transferred to your new course will have to be worked out with the instructors on a case-by-case basis.
- Students who would get a grade of A in one of the non-Honors courses also should get an A in the Honors equivalent of that course.
The Honors courses are listed below. To view course descriptions and to find out which courses are offered currently or scheduled to be offered in upcoming terms, please consult the course catalog for MATH courses.
Honors Linear Algebra Courses
- MATH 127: Honors Linear Algebra I
- This course can be used to replace MATH 125 (but not MATH 102, unless you also take MATH 227).
- MATH 227: Honors Linear Algebra II
- This course can be used to replace MATH 225.
Honors Calculus and Analysis Courses
- MATH 117: Honors Calculus I
- This course can be used to replace MATH 100, MATH 114, or MATH 144.
- Web page with resources for MATH 117, including an online textbook by Dr. John C. Bowman
- Scan of lecture notes for MATH 117 by Dr. James S. Muldowney
- MATH 118: Honors Calculus II
- This course can be used to replace MATH 101, MATH 115, or MATH 146.
- Web page with resources for MATH 118, including an online textbook by Dr. John C. Bowman
- Scan of lectures notes for MATH 118 by Dr. James S. Muldowney
- MATH 217: Honors Advanced Calculus I
- This course can be used to replace MATH 214 or MATH 209.
- Web page with a link to online lecture notes for MATH 217 by Dr. Volker Runde
- Scan of lecture notes for MATH 217 by Dr. James S. Muldowney
- MATH 317: Honors Advanced Calculus II
- This course can be used to replace MATH 215.
- Web page with a link to online lectures notes for MATH 317 by Dr. Volker Runde
- Scan of lectures notes for MATH 317 by Dr. James S. Muldowney
- MATH 411: Honors Complex Variables
- This course can be used to replace MATH 311.
- Web page with resources for MATH 411, including an online textbook by Dr. Volker Runde and Dr. John C. Bowman
- MATH 417: Honors Real Variables I
- This course can be used to replace MATH 314.
- MATH 418: Honors Real Variables II
- This course can be used to replace MATH 414.