#### 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 $400.

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.

#### 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.****