Course Description

This is the second of three courses designed to prepare you for university entrance. The course covers the properties of real numbers, a brief introduction to number theory, exponents and radicals, algebraic expressions, factoring, linear and quadratic equations, inequalities, system of linear equations, polynomials and their properties.

Course Details

Broad learning outcome:

Upon completion of this course, successful students will be able to:

  • Simplify and manipulate algebraic expressions.
  • Use a variety of techniques to solve equations such as quadratic, radical, trigonometric, or rational.
  • Use quadratics or other functions to model real world problems mathematically and interpret the solutions.
  • Develop algebraic reasoning and number sense through the study of various relations and functions as well as sequences and series.
  • Develop trigonometric reasoning through the study of rotational trigonometry, as well as obtuse or acute triangles.

Supporting Learning Outcome Statements

Upon completion of this course, successful students will be able to:

  • Identify and differentiate the two types of sequences (arithmetic/geometric) and apply their properties to find the general term of the sequence, the sum of any number of terms of the sequence and series.
  • Investigate infinite geometric sequences to determine if they are convergent or divergent.
  • Convert entire radicals with rational coefficients or radicands to mixed radicals.
  • Convert mixed radicals with rational coefficients or radicands to entire radicals.
  • Add, subtract, multiply, and divide radicals.
  • Solve radical equations.
  • Identify and explain characteristics of graphs of quadratic functions such as:  the vertex, maximum or minimum values, the intercepts, domain and range.
  • Identify and explain the different forms of quadratic functions.
  • Graph a quadratic function given its equation in any form.
  • Determine the equation of a quadratic function given information that uniquely determines the function.
  • Solve quadratic equations, and relate the solutions to the zeros of a corresponding quadratic function, using: factoring, completing the square, and the quadratic formula.
  • Solve word problems that can be reduced to linear or quadratic equations.
  • Determine equivalent forms of single-variable rational expressions with polynomial numerators, and denominators that are monomials, binomials or trinomials that can be factored.
  • Determine the non-permissible values for the variable in single-variable rational expressions.
  • Perform the operations of addition, subtraction, multiplication and division on single-variable rational expressions.
  • Find and verify the solutions of rational equations that reduce to linear equations.
  • Formulate and apply strategies to solve absolute value equations, radical equations, rational equations.
  • Graph linear and quadratic inequalities in two variables.
  • Solve systems of equations (in two variables) that have at least one quadratic equation using algebra and graphing.
  • Identify and explain characteristics of reciprocal functions such as end behaviour and asymptotes.
  • Graph linear and quadratic reciprocal functions.
  • Demonstrate and understanding of rotational trigonometry using positive angles from 0 to 360 degrees.
  • Analyze special triangles and how they are used to determine trigonometric ratios in exact form.
  • Solve problems using the sine law and the cosine law.


Successful completion of Math 10-C, Pure Math 10, UPG 010 Math Foundations, or equivalent course. Questions about placement? Call: 403.220.2866 or E-mail: conted@ucalgary.ca 
Enrol Now - Select a section to enrol in
Online Synchronous/Asynchronous
Sep 11, 2023 to Dec 15, 2023
Online Synchronous/Asynchronous
5:30PM to 7:00PM
Sep 11, 2023 to Dec 11, 2023
Schedule and Location
Course Fees
Flat Fee non-credit $545.00
Reading List / Textbook

Title: Pre-Calculus 11 Workbook
Author: Greg Ranieri, Alan Appleby
Publisher: Absolute Value Publications
ISBN 13: 9781926979038
ISBN 10: 1926979036

UofC Bookstore: http://calgarybookstore.ca/  or 403.220.5937.

Section Notes

Prerequisite: Successful completion of Math 10-C, Pure Math 10, Continuing Education's Fundamentals of Math or equivalent course. Questions? Call 403.220.2866. 

This course uses Desire2Learn (D2L), an online learning management system. The instructor will post your course outline and other materials in D2L. For more information about D2L, please visit our Online Learning Resources.

It is the student’s responsibility to confirm transcript deadlines with UCalgary Admissions.

Unless notified, all online courses are available at 9 am MT the day before the start date. Students who register on (or after) the start date will receive access within one day of registration.

No Classes
Monday Sep. 13, 2023, Remembrance Day
Monday Oct. 9, 2023, Thanksgiving

Students who are unfamiliar with online learning are encouraged to take our free Digital Skills for Learning Online course.

Unless otherwise stated, notice of withdrawal or transfer from a course must be received at least seven calendar days prior to the start date of the course.

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