Skip to main contentSkip Navigation or Skip to Content
Thompson Rivers University
Thompson Rivers University

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:

  1. Beecher, J., Penna, J., & Bittinger, M. (2016). Algebra and trigonometry (5th ed). Pearson Education, Inc.
    Type: Textbook. ISBN-13: 9780321969569
  2. 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.

Search To Top