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Thompson Rivers University
Thompson Rivers University

MATH 0523: Advanced Mathematics

Note: Students who complete MATH 0523 will meet the ABE Advanced Level (Grade 11) learning outcomes and competencies for transfer credit as stated in the 2023/24 BC Provincial Government’s publication Adult Basic Education: A Guide to Upgrading in British Columbia’s Public Post-Secondary Institutions – An Articulation Handbook at Adult Basic Education: A Guide to Upgrading in British Columbia's Public Post-Secondary Institutions - An Articulation Handbook. (

This advanced-level algebra course is equivalent to Grade 11 algebra [Pre-calculus]. The course offers an optional review component for students who have not studied algebra for some time. Topics include equations, graphs, polynomials, rational equations, radical equations, and trigonometry.

Learning outcomes

The intended outcome of this course is to prepare students for further education and decision making as would be typical students who have completed other secondary school and adult basic education courses at the Mathematics 11 level, as articulated in the following sources:

Province of British Columbia, Ministry of Advanced Education, Skills and Training. (2023/24). Adult basic education: A guide to upgrading in British Columbia’s public post-secondary institutions. Retrieved from

Province of British Columbia, Ministry of Education. (2018). BC’s new curriculum: Mathematics 11 — pre-calculus grade 11. Retrieved from

Course topics

  • Unit 1: Solving Equations; Formulas and Applications; Applications and Problem Solving; Sets, Inequalities, and Interval Notation; Intersections, Unions, and Compound Inequalities; Absolute-Value Equations and Inequalities.
  • Unit 2: Graphs and Equations; Functions and Graphs; Finding Domain and Range; Linear Functions: Graphs and Slope; More on Graphing Linear Equations; Finding Equations of Lines; Applications.
  • Unit 3: Systems of Equations in Two Variables; Solving by Substitution; Solving by Elimination; Solving Applied Problems: Two Equations; Systems of Equations in Three Variables; Solving Applied Problems: Three Equations; Systems of Inequalities in Two Variables; Business and Economics Applications
  • Unit 4: Introduction to Polynomials and Polynomial Functions; Multiplication of Polynomials; Introduction to Factoring; Factoring Trinomials; Special Factoring; Factoring: A General Strategy; Applications of Polynomial Equations and Functions.
  • Unit 5: Rational Expressions and Functions: Multiplying, Dividing, and Simplifying; LCMs, LCDs, Addition, and Subtraction; Division of Polynomials; Complex Rational Expressions; Solving Rational Equations; Applications and Proportions; Formulas and Applications; Variation and Applications.
  • Unit 6: Radical Expressions and Functions; Rational Numbers as Exponents; Simplifying Radical Expressions; Addition, Subtraction, and More Multiplication; More on Division of Radical Expressions; Solving Radical Equations; Applications Involving Powers and Roots; The Complex Numbers.
  • Unit 7: The Basics of Solving Quadratic Equations; The Quadratic Formula; Applications Involving Quadratic Equations; More on Quadratic Equations; Graphing; Mathematical Modeling with Quadratic Functions; Polynomial and Rational Inequalities.
  • Unit 8: Introduction to trigonometry: trigonometric ratios; solving right triangles, applications and problem-solving; the law of sines and the law of cosines; solving oblique triangles, applications and problem-solving.

Required text and materials

The following materials are required for this course:

  1. Bittinger, M. L., Beecher, J. A., & Johnson, B. L. (2019). Intermediate algebra (13th ed.). New York, NY: Pearson. 
    Type: Textbook. ISBN: 0-13-470736-2 / 978-0-13-470736-5
  2. Bittinger, M. L., Beecher, J. A., & Johnson, B. L. (2019). Student’s solutions manual: Intermediate algebra (13th ed.). New York, NY: Pearson. 
    Type: Textbook. ISBN: 0-13-471906-9 / 978-0-13-471906-1
  3. Rudolph, G. B. (2015). Introductory trigonometry: A triangular approach with applications. Kamloops, BC: Thompson Rivers University. (Original work published 1993)
    Type: Textbook. ISBN: 1-896661-04-1

Additional requirements

A scientific calculator is provided in your course package.


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 with any questions about this.

To successfully complete this course, students must achieve a passing grade of 50% or higher on the overall course and 50% or higher on the mandatory final exam.

Assignment 1: Solving Linear Equations and Inequities 7.5%
Assignment 2: Graphs, Functions, and Applications 7.5%
Assignment 3: Systems of Equations 7.5%
Assignment 4: Polynomials and Polynomial Functions 7.5%
Assignment 5: Rational Expressions, Equations, and Functions 7.5%
Assignment 6: Radical Expressions, Equations, and Functions 7.5%
Assignment 7: Quadratic Equations and Functions 7.5%
Assignment 8: Basic Principles of Triangular Trigonometry 7.5%
Mandatory Final Exam  40%
TOTAL 100%

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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