The Department of Mathematics and Statistics offers a variety of introductory courses that meet the breadth requirements for students from across the university. Before enroling in any of these courses, students should consult their specific program requirements as well as the course catalogue for complete information on course enrolment restrictions. Students in the College of Arts and Science should refer to their program's quantitative reasoning requirements when choosing from the courses below.

# Statistics Courses

STAT 103: Elementary Probability

This course introduces the tools that are needed to draw conclusions in a variety of probabilistic contexts. See the full course description for further information.*Prerequisite: Foundations of Mathematics 30 or Pre-Calculus 30*

This course introduces basic methods for analyzing data-sets, as well as how to understand and present statistical findings. See the full course description for further information.

*Prerequisite: Foundations of Mathematics 30 or Pre-Calculus 30*

# Calculus Courses

**MATH 102 - Pre-Calculus Mathematics**A preparatory course for students lacking sufficient mathematical experience to thrive in a first-year calculus course. This course reviews the fundamentals of algebra and looks at properties and graphs of functions (including polynomial, rational, exponential, logarithmic, and trigonometric). See the full course description for further information.

*Prerequisite: Workplace and Apprenticeship Mathematics 30, Foundations of Mathematics 30 or Pre-Calculus 20*

**MATH 104: Elementary Calculus**A one-semester calculus course that covers both integral and differential calculus. This a terminal course in calculus; it cannot be used as a prerequisite for any other course in mathematics. See the full course description for further information.

*Prerequisite: Foundations of Mathematics 30, Pre-Calculus 30 or MATH 102*

**MATH 121: Mathematical Analysis for Business and Economics** A one-semester calculus course that covers both integral and differential calculus taught through the lens of applications in business and economics. This a terminal course in calculus; it cannot be used as a prerequisite for any other course in mathematics. Enrolment is restricted to students in Edwards School of Business. See the full course description for further information.

Prerequisite: Foundations of Mathematics 30 or Pre-Calculus 30 or MATH 102

Prerequisite: Foundations of Mathematics 30 or Pre-Calculus 30 or MATH 102

**MATH 125: Mathematics for the Life Sciences**A one-semester calculus course that covers both integral and differential calculus taught through the lens of applications in the life sciences. This a terminal course in calculus; it cannot be used as a prerequisite for any other course in mathematics. Enrolment is restricted to students the life sciences. See the full course description for further information.

*Prerequisite: Pre-Calculus 30 or MATH 102*

**Students who need six credit units of first-year calculus should not enrol in any of MATH 104, MATH 121 or MATH 125.**

**MATH 110/116 - Calculus (I and II)**Two one-semester calculus courses. These courses offer the standard applied treatment for students in the physical sciences. Students in this course are not assumed to have seen any prior treatment of topics in calculus. See the full course description for further information.

*Prerequisite (MATH 110): Pre-Calculus 30 or MATH 102.*

One of the greatest impediments to success in MATH 110 is insufficient mastery of pre-calculus topics. It is important that students intending on registering in MATH 110 self-assess using the Math Readiness Assessment.

**MATH 123/124 - Calculus for Engineers (I and II)**Two one-semester calculus courses. Students in this course are not assumed to have seen any prior treatment of topics in calculus. Enrollment is restricted to students in the College of Engineering. See the full course description for further information.

*Prerequisite (MATH 123): Pre-Calculus 30 or MATH 102*

**MATH 176/177 - Advanced Calculus (I and II)**Two one-semester calculus courses. These courses offer an abstract treatment of topics in early analysis. Students intending to major in a mathematics program are recommended to take these courses. See the full course description for further information.

*Prerequisite (MATH 176): Calculus 30*

# Mathematics Courses

**MATH 101: Quantitative Reasoning**This course is designed for students who haven't traditionally been comfortable reasoning using numbers, statistics and data. For these students, the course will give an introduction to using quantitative arguments to analyze problems, critique arguments, and draw conclusions. This is a terminal course; it cannot be used as a prerequisite for any other course in mathematics. However, it can serve as a confidence-boosting refresher for students who may wish to go further in mathematical training. The skills learned in this course will form a solid foundation for any other reasoning-centred course in the sciences and beyond. Enrolment is restricted to students in the College of Arts and Science. See the full course description for further information.

*Prerequisite: none*

**MATH 150: Mathematics for Early and Middle Years Teachers**

This course is designed for future early and middle-school teachers. For these students, this course will provide essential content knowledge for those future teachers who do not have mathematics as a teaching area. This is a terminal course in mathematics. It cannot be used as a prerequisite for any other course in mathematics. Enrolment is restricted to students in the College of Education. See the full course description for further information.*Prerequisite: Pre-Calculus 30 or Foundations of Mathematics 30*

**MATH 163: Introduction to Mathematical Reasoning**This course provides an introduction to techniques and communication in abstract mathematics. It explores the notion of proof and introduces standard notation and nomenclature. See the full course description for further information.

*Prerequisite: Pre-Calculus 30 or Foundations of Mathematics 30*

**MATH 164: Introduction to Linear Algebra**This course introduces matrices and vectors, which help us describe and analyze familiar concepts such as lines, planes, distances, and angles in higher dimensions. See the full course description for further information.

*Prerequisite: Pre-Calculus 30 or Foundations of Mathematics 30 or 3 units of MATH or STAT*