# Maths 100 Level

101 Mathematical Concepts I: 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.

This course will give an introduction to some of the quantitative methods used
in the fields of business. A presentation of mathematics applicable to business,
including functions, modelling, finance, regression, forecasting, simulation, and
linear programming. Use of spreadsheets will be a fundamental part of this course.
Acceptable for credit in all programs. May only be used as an open or an approved
elective in mathematics or computer science programs. Credit will be granted for
only one of MATH 105 and MATH 205. Three credits and one-hour lab.

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.