MATH 0633: Pre-Calculus
This course is equivalent to Math 12 and provides the mathematical foundation for an introductory course in calculus. Topics include a review of basic algebra; equations and inequalities; graphs of functions; polynomial, rational, exponential, logarithmic, and trigonometric functions; trigonometric equations and identities; conic sections; and sequences and series. This course fulfils the requirement for Provincial Level Math.
Please note, reference to MATH 12 refers to Pre-calculus 12 in the BC Curriculum.
Learning outcomes
- Review the basic topics of intermediate algebra.
- Develop the concept of a function and to emphasize its importance in mathematics.
- Introduce the basic functions and their properties--polynomial, rational, radical, exponential, logarithmic, and trigonometric.
- Emphasize applications of functions and the development of mathematical models.
- Develop general problem-solving skills in the course topics.
Course topics
- Unit 1: Optional Review: Basic Concepts of Algebra
- Unit 2: Graphs, Functions, Models, Equations, and Inequalities
- Unit 3: More Quadratic Functions and Equations, Inequalities; Polynomial and Rational Functions
- Unit 4: Exponential Functions and Logarithmic Functions
- Unit 5: The Trigonometric Functions
- Unit 6: Trigonometric Identities, Inverse Functions, and Equations
- Unit 7: Applications of Trigonometry; Systems of Equations and Matrices
- Unit 8: Conic Sections
- Unit 9: Sequences, Series, and Combinatorics
Required text and materials
The following textbooks are required for this course:
- Beecher, J., Penna, J., & Bittinger, M. (2016). Algebra and trigonometry (5th ed). Pearson Education, Inc.
Type: Textbook. ISBN-13: 9780321969569 - Beecher, J., Penna, J., & Bittinger, M. (2016). Student’s solution manual: Algebra and trigonometry: A Right Triangle Approach (5th ed.). Pearson Education, Inc.
Type: Textbook. ISBN-13: 978-0-321-98189-9
Additional requirements
A scientific calculator is required.
Assessments
Please be aware that should your course have a final exam, you are responsible for the fee to the online proctoring service, ProctorU, or to the in-person approved Testing Centre. Please contact exams@tru.ca with any questions about this.
To successfully complete this course, you must achieve a passing grade of 50% or higher on the overall course and 50% or higher on the mandatory final exam.
| Assignment 1: Graphs, Functions, Models, Equations, and Inequalities | 7.5% |
| Assignment 2: More Quadratic Functions and Equations, Inequalities; Polynomial and Rational Functions | 7.5% |
| Assignment 3: Exponential and Logarithmic Functions | 7.5% |
| Assignment 4: The Trigonometric Functions | 7.5% |
| Assignment 5: Trigonometric Identities, Inverse Functions, and Equations | 7.5% |
| Assignment 6: Trigonometry, Equations, and Matrices | 7.5% |
| Assignment 7: Conic Sections | 7.5% |
| Assignment 8: Sequences, Series, and Combinatorics | 7.5% |
| Final Exam (mandatory) | 40% |
Open Learning Faculty Member Information
An Open Learning Faculty Member is available to assist students. Students will receive the necessary contact information at the start of the course.
