#### Algebra and Trigonometry – Grade 11-12* Students

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

This course runs in the environment which is very close to the actual University course, with regular assignments, mid-term and a final exam. Students who successfully complete “Algebra and Trigonometry” 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 objective of this course is to better prepare students for success in their future University-level mathematics courses. The course will cover the following topics:

- Newton’s binomial formula
- Factorization of a^n – b^n and of a^n + b^n (for odd n)
- Factorization of polynomials
- Vieta’s Theorem
- Finding rational roots of a polynomial with integer coefficients
- Euclidean algorithm for the greatest common divisor of two polynomials
- Properties of trigonometric functions
- Addition theorems
- Moivre’s formula
- Solving trigonometric equations
- Trigonometric identities
- Pascal’s triangle and binomial coefficients
- Proofs by induction

These topics will be covered in-depth and are go well beyond the Ontario Elementary or Secondary School Curriculum.

#### 2024/25 Course Information

This course will not be offered in 2024/25. It will run in 2025/26.

#### 2023/24 Course Information

The course will run on **Mondays 5:30-7:00pm** from September 25, 2023 to April, 2024 (with a break in December).

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

**Instructor: Michael Fairbairn** (MichaelFairbairn@cmail.carleton.ca)

#### Registration Information

Registration is now closed.

We will open registrations for September 2024 in April.

#### 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.

#### Inquiries

enrichment-admin@math.carleton.ca

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

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