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# 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.

## Objectives

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 outline

• 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

A scientific calculator is required.

## Assessments

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

An Open Learning Faculty member is available to assist students. Primary communication is by phone at a mutually convenient time. Students will receive the necessary contact information when starting the course.

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