Foundations of Calculus – Grade 11-12* Students

*Younger students may be admitted on a recommendation of instructor in a previous Math Enrichment Course taken at Carleton.

This challenging course runs in the environment which is very close to the actual University course, with regular assignments, mid-term and a final exam.

The objective of this course is to better prepare students for success in their future University-level mathematics courses. This course is rather different from High School Calculus and will be more challenging. High School Calculus will teach you “how to drive a car,” here you will learn “what’s under the hood.”

Students who successfully complete “Foundations of Calculus” course and subsequently enroll into an undergraduate program at the School of Mathematics and Statistics at Carleton University, are offered “Mathematics for Success!” award, valued at $500.

The course will cover the following topics:

  • Solving inequalities
  • Absolute value and its properties
  • Plotting graphs of functions
  • Real Numbers. Dedekind cuts
  • Infinite sequences
  • Limit of a sequence
  • Properties of limits
  • Infinite series
  • Convergent and divergent series
  • Limits of functions
  • Continuity
  • Derivative
  • Rules of differentiation
  • Derivatives of trigonometric and exponential functions

These topics will be covered in-depth with the emphasis on rigorous definitions and proofs.

2024/25 Course Information

This course will run on Wednesdays 5:30-7:00pm from September 2024 to April 2025 (with a break in December).

Instructor: Ailith Priddle (

Maximum enrollment is 40 students per class. We reserve the right to cancel the course with a full refund if minimum enrollment is not reached.

2023/24 Course Information

This course will run on Wednesdays 5:30-7:00pm from September 27, 2023 to April 2024 (with a break in December).

New class location for the Winter term: Canal Building, room CB 2400.

Instructor: Ailith Priddle (

Registration Information

Registration fee: $515+HST.


For students with limited financial resources fee waivers may be available.
If you intend to apply for a fee waiver, please do NOT complete the regular registration. If you register for a course and then get approval for a fee waiver, there will be a non-refundable administration fee of $25 per registration.

Fee Waiver Information and Application

Refund Policy

100% refund prior to August 31st
95% refund prior to September 30th
75% refund prior to October 31st
50% refund prior to November 30th

To request refund, please complete this form before the deadline.


For inquiries, please email:
**Please note we are unable to answer any enquiries by phone.**

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