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

After successfully completing this course, students will be able to:

  • 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 and comes in a bundle:

  1. Beecher, J., Penna, J., & Bittinger, M. Algebra and trigonometry with MyMathLab & Student Solutions Manual. (5th ed.) Pearson Education, Inc., 2016.
    Type: ISBN-10: 9780134302607

This bundle contains the following texts:

  1. Beecher, J., Penna, J., & Bittinger, M. (2016) Algebra and trigonometry (5th ed) Pearson Education, Inc.
    ISBN-13: 9780321969569
  1. Beecher, J., Penna, J., & Bittinger, M. (2016) Student’s solution manual: Algebra and trigonometry: A Right Triangle Approach (5th ed.) Pearson Education, Inc.
    ISBN-13: 978-0-321-98189-9
  1. Beecher, J., Penna, J., & Bittinger, M. (2019) MyLab Math with Pearson eText-Standalone Access Card - for Algebra and Trigonometry MyLab Revision with Corequisite Support (5th ed)
    ISBN-10: 0135298806 | ISBN-13: 9780135298800

Additional requirements

A scientific calculator is required.

Assessments

Please be aware that should your course have a final exam, students 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 * 40%

* Mandatory

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.

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