# MATHEMATICS

The Department of Mathematics, Statistics and Computer Science offers nine 3-credit courses in Mathematics at the 100-level (see course descriptions at the bottom of this page):

**MATH 101 - Mathematical Concepts: Sets, Logic, and Number Theory
MATH 102 - Mathematical Concepts: Graphs, Functions, Geometry, and Probability
MATH 105 - Business Mathematics
MATH 106 - Calculus I
MATH 107 - Calculus II
MATH 121 - Calculus I for Engineers
MATH 122 - Calculus II for Engineers
MATH 126 - Calculus I
MATH 127 - Calculus II**

**MATH 106/107 and 126/127**

MATH 106/107 and 126/127 are two different sets of Calculus courses. Both sets cover the same material, use the same textbook, and have the same common final exam. The difference between the two is the number of hours of class time each week.

MATH 126 and 127 have the usual 3 contact hours per week with the instructor, and an additional one-hour lab every other week. This stream offers calculus at the traditional pace, and is designed for students who have a strong pre-calculus (or high school calculus) background, and who would prefer a faster pace.

MATH 106 and 107 have 4 contact hours per week with the instructor, and an additional one-hour lab/tutorial per week. The extra time allows for a slower pace, more in-class examples, and problem sessions with the instructor to provide additional time for guided practice. The courses are designed for those students who may have a weaker pre-calculus foundation, or who may benefit from the extra time and slower pace.

Students can also choose to do MATH 106 and 127, or MATH 126 and 107, if they wish to do so.

Calculus I and II are the foundation courses for students intending further study in Mathematics. These two courses are required for all students completing the Bachelor of Science degree; any mathematics program in the Bachelor of Arts; and the Bachelor of Arts with honours in economics. Bachelor of Arts students intending advanced major programs in economics require MATH 106 or 126, and may choose to take MATH 107 or 127 as their remaining 3 credits of required mathematics or statistics.

MATH 106 or 126 and 107 or 127, or MATH/ENGR 121 and 122, are minimum prerequisites for all upper-level mathematics courses except MATH 236, 253, 277, 335, 347, for which there are alternate prerequisites.

**MATH 121 and 122**

MATH 121 and 122 are courses cross-listed as ENGR 121 and 122, which are required courses for students in the Diploma in Engineering. Students interested in one or more courses in calculus, but not interested in the engineering program, will take MATH 106 or 126 and MATH 107 or 127 rather than MATH/ENGR 121 and 122.

**MATH 101 and 102**

MATH 101 and 102 are elective courses permissible for credit in all programs other than the Bachelor of Science degree and the Diploma in Engineering. These courses are excellent choices for students wishing to complete the required post-secondary mathematics for admission to Bachelor of Education programs.

**MATH 105**

MATH 105 is a required course for all programs in the Bachelor of Business Administration. It is also permissible for credit in the Faculty of Arts.

Course Descriptions from the Current Academic Calendar**:**

**101 Mathematical Concepts: Sets, Logic, and Number Theory**

This course surveys topics from diverse areas of mathematics, including problem solving, set theory, logic, historical numeration systems, and number theory. Students will solve problems using processes such as abstraction, pattern recognition, deduction and generalization. Credit will be granted for only one of MATH 101 or MATH 100. Acceptable for credit only in the Faculties of Arts and Business and the Departments of Human Kinetics, Human Nutrition and Nursing. Prerequisite: Grade 12 math or equivalent. Three credits.

**102 Mathematical Concepts II: Graphs, Functions, Geometry, and Probability**

The course surveys interesting and useful topics from diverse areas of mathematics, including problem solving, algebra, graphs and functions, geometry, counting methods, and probability. Students will solve problems using processes such as abstraction, pattern recognition, deduction and generalization. Credit will be granted for only one of MATH 102 or MATH 100. Acceptable for credit only in the Faculties of Arts and Business and the Departments of Human Kinetics, Human Nutrition and Nursing. Prerequisite: Grade 12 math or equivalent. Three credits.

**105 Business Mathematics**

A presentation of mathematics applicable to business, including functions, modelling, linear programming, matrix algebra, interest, and annuities. Use of spreadsheets will be a fundamental part of this course. Acceptable for credit in the Faculties of Arts and Business only. Three credits.

**106 Calculus I**

An introduction to differential calculus of a single variable, with applications to physical, life, and social sciences. Topics include limits, differentiation of polynomial, exponential, logarithmic, and trigonometric functions, inverse functions and their derivatives, implicit differentiation, curve sketching, and applied max-min problems. The format of MATH 106 has been structured to provide students with additional learning resources to support and foster a conducive learning environment. Credit will be granted for only one of MATH 106, ENGR 121 or MATH 126. Prerequisite: Grade 12 pre-calculus or equivalent. Three credits and one-hour problem-session and one-hour lab.

**107 Calculus II**

An introduction to integral calculus for functions of one variable. Topics include definite and indefinite integrals; the fundamental theorem of calculus; methods of integration; numerical approximation of definite integrals; applications to area and volume; probability density functions and distributions; differential equations; and Taylor polynomials. The format of MATH 107 has been structured to provide students with additional learning resources to support and foster a conducive learning environment. Credit will be granted for only one of MATH 107, ENGR 122 or MATH 127. Prerequisite: MATH 106 or 111 or 126.Three credits and one-hour problem-session and one-hour lab.

**121 Calculus I for Engineers**

This course examines the main idea of calculus of a single variable. It covers functions, limits, continuity; differentiation and integration of polynomial, exponential, logarithmic, and trigonometric functions; product, quotient, and chain rules; applications of differentiation to graphing; maximum-minimum problems, and related rate problems; definite and indefinite integrals, and the fundamental theorem of calculus. Credit will be granted for only one of MATH 121 or MATH 106 or 126(111). Cross-listed as ENGR 121. Prerequisite: grade 12 pre-calculus or equivalent. Three credits and one-hour lab and one-hour problem session.

**122 Calculus II for Engineers**

A continuation of ENGR 121, this course covers the applications of integration, including areas, volumes, moments, pressure, and work; techniques of integration; numerical integration; length of curves; surfaces of revolution; parametric equations; polar co-ordinates; sequences and series; and Taylor series. Credit will be granted for only one of MATH 122 or MATH 107 or 127(112). Cross-listed as ENGR 122. Prerequisite: MATH 121. Three credits and one-hour lab and one-hour problem session.

**126 Calculus I**

An introduction to differential calculus of a single variable, with applications to physical, life, and social sciences. Topics include limits, differentiation of polynomial, exponential, logarithmic, and trigonometric functions, inverse functions and their derivatives, implicit differentiation, curve sketching, and applied max-min problems. Credit will be granted for only one of MATH 106, ENGR 121 or MATH 126. Prerequisite: Grade 12 pre-calculus or equivalent. Three credits and a one-hour lab every other week.

**127 Calculus II**

An introduction to integral calculus for functions of one variable. Topics include definite and indefinite integrals; fundamental theorem of calculus; methods of integration; numerical approximation of definite integrals; applications to area and volume; probability density functions and distributions; differential equations; and Taylor polynomials. Credit will be granted for only one of MATH 107, MATH 127 or ENGR 122. Prerequisite: MATH 106 or MATH 111 or MATH 126. Three credits and a one-hour lab every other week.

Please refer to **Section 9.25** **Mathematics, Statistics and Computer Science** in the **Academic Calendar**.

Click **here** to go to the **Mathematics** subject **webpage**.