**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 $400.

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.

#### 2020/21 Course Information

Carleton University will be operating online at least until December 2020. We will not be able to offer this course until University is open for regular classes.

#### Inquiries

enrichment-admin@math.carleton.ca

****Please note we are unable to answer any enquiries by phone.****

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