# 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

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.

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