Mathematics and Computer
Science
Through study of mathematics at UTS, students will develop
the mathematical concepts and skills required of knowledgeable
citizens and become prepared for successful studies in
university. There is a dual emphasis on application of
mathematics to real world applications such as personal finance,
statistics and computer science and recognition of the beauty of
pattern, shape and design inherent in pure mathematics. In
addition to developing computational skills, students will
develop their critical thinking abilities and reasoning
techniques through study of problem-solving involving numerical
analysis, algebra and geometry. For those students showing a
keen interest and/or extraordinary mathematical ability, the
department sponsors a student-run mathematics club, and
encourages participation in local, provincial, national and
international mathematical contests.
FACULTY
Mr. Adam Brown, B.Math., B.Ed., M.Sc. / Mathematics
Ms Sandra DellaMaestra, B.Math., B.Ed. / Mathematics
(Subject Coordinator)
Mr. Adam Gregson, B.Sc., B.Ed., M.Sc. / Mathematics
Ms. Mary Hall, B.Eng., B.Ed., M.Eng., / Physics & Mathematics
Mr. Serguei Ianine, B.Ed., M.Sc.(Math) / Mathematics & Computer Science
Ms. Kirsten Nelson, B. Math., B.Ed. / Mathematics & Computer Science
Mr. Fraser Simpson, B.Math., B.Ed., M.Sc.(T) / Mathematics
Mr. Andrew Wilson, B.A.(Hons), B.Ed., M.Ed. / Mathematics &
Philosophy
Course Selection: Mathematics,
Computer Studies
MATHEMATICS
Foundation I
MAT F1 - Mathematics
In the Foundation Program in Mathematics, students review and deepen
their knowledge of pattern, number and shape. They develop a common set of
skills in arithmetic, algebra, geometry and spatial reasoning, and problem
solving. Students will study properties of arithmetic as they perform
calculations with whole numbers, integers and rational numbers, ratios,
proportions and percents, and they will generalize these skills through an
introduction to algebra. Students will investigate geometric relationships
involving triangles, parallel lines and quadrilaterals. Problem-solving
activities, investigations and applications play a significant role in this
course. Students will write the Jr. CNML, AMC-8, Pascal and Gauss-7
mathematics contests.
Course Fee: $15
Foundation II
MPM 1D2 - Principles of Mathematics
In this course, students will consolidate number sense and numerical
skills and extend the principles of arithmetic in developing skills
involving algebra and analytic geometry. A key focus on linear relationships
will lead to methods of finding equations of lines in various forms and
solving problems involving proportional thinking. Students will explore
relationships and solve problems that emerge from the geometry and
measurement of two-dimensional shapes and three-dimensional figures.
Mathematical processes of reasoning and proving, computing and selecting
strategies, communicating and modeling are emphasized in problem solving
throughout the course. All students will write the Jr. CNML, AMC-8, Pascal
and Gauss-8 mathematics contests.
Course Fee: $15
Middle III
MPM 1D3 – Principles of Mathematics
Pre-requisite: MAT F2
Students extend their study of algebra, including topics on manipulating
polynomial expressions, and techniques of solving linear equations, systems
of equations and inequations. Graphing linear relations and functions in the
plane, methods of determining the equation of a line, introduction to
analytic geometry and data analysis are also studied. Investigative and
problem solving activities, including occasional use of graphing calculators
and computer software, complement the core curriculum. All students will
write the Pascal and Algebra I contests, while other contests such as the
Fryer, ASMA, Senior CNML and AMC-10 are optional.
Middle IV
MPM 2DE – Principles of Mathematics
Pre-requisite: MPM 1DE
Students will review, extend and apply their algebraic skills involving
polynomials and factoring. They will study quadratic functions, the
quadratic formula and its applications, transformations of functions and
graphs, advanced factoring techniques, simplifying rational expressions, and
circle geometry. Students study trigonometric relationships in right
triangles, the sine law, cosine law and their applications to problem
solving involving right angled and oblique triangles. Through investigative
projects and problem solving assignments students further hone their
communication and problem-solving skills. All students write the Cayley
contest, while other contests such as AMC-10, Senior CNML and COMC are also
offered.
Course Fee: $15
Senior V
MCR 3UE - Functions
Pre-requisite: MPM 2DE
Students will explore the mathematical concept of function through the
continued study of linear and quadratic relationships and investigations of
discrete and continuous functions. Topics include sequences and series,
polynomials, trigonometric functions, exponents and logarithms. In each
case, students will develop algebraic rules, mathematical properties and
graphical tools related to these functions. Students further develop
mathematical reasoning skills by using these functions to solve applied
problems in personal finance, two-and three dimensional geometry, science,
navigation and engineering, assisted by graphing calculators and computer
software as needed. All students will write the Fermat Contest, while
AMC-12, and other contests are optional.
Who should take this course? Students who learn best by direct
instruction from the teacher are good candidates for this course.
MCR 3UP – Functions - AP Stream
Students who wish to apply to enroll in the Advanced Placement section of
grade 11 Functions (MCR 3UP) must complete a separate Application for
APPreparation Course form, which is available from their Guidance Counsellor.
In the interim, these students should select MCR 3UE on their Option Sheet.
Pre-requisite: MPM 2DE
This advanced course includes the topics of MCR3UE, and more, to prepare
students for the successful study of AP Calculus. Topics include graphing
functions and their inverses, transforming functions, factoring polynomials
and techniques for solving various types of equations with a focus on
exponential, logarithmic, polynomial and trigonometric functions. Students
study applications of these topics in two and three dimensional geometry,
modeling of periodic phenomena, finance, growth and decay. Students will
solve a wide range of problems in which they draw upon the skills learned in
their previous courses, and they will continue to use computer software and
graphing calculators to explore and deepen their understanding. All students
will write the Fermat contest, while other contests such as AMC-12, Senior
CNML, Hypatia and COMC, are optional.
Course Fee: $15
Who should take this course? Students who wish to keep open the option of
studying at the AP Level in S6 should select this course.
Senior VI
MDM 4UE – Mathematics of Data Management
Pre-requisite: MCR 3U
This course broadens students’ understanding of mathematics as it relates
to managing information and will prepare students for study of applied
mathematics at the university level (particularly programs in business,
science and social science where knowledge of probability, statistics and
data management is required). Students will study counting techniques,
permutations and combinations, probability and statistics, probability
distributions, the binomial theorem, methods of managing and analyzing data
and making inferences. Each student will design and carry out a project
related to statistical analysis that integrates the expectations of the
course. Use of computer software, such as Fathom and Excel spreadsheets,
will enable students to manage and manipulate data effectively.
Course Fee: $15
MHF 4UE – Advanced Functions
Pre-requisite: MCR 3UE or MCR 3UP
This course extends the students’ experience with functions and lays the
foundation of concepts and skills needed for the study of calculus. Students
will investigate the properties of polynomial, rational, logarithmic and
trigonometric functions; broaden their understanding of rates of change; and
use functions to model real-world situations. Students will continue to hone
their skills in reasoning and proving, computation and algebraic
manipulation, communicating and modeling. This course is a prerequisite for
MCV 4U, Calculus and Vectors, and is a pre-requisite or recommended
preparation for a variety of university programs.
MHF 4UP – Advanced Functions - AP Stream
Students who wish to apply to enroll in the Advanced Placement section of
grade 12 Advanced Functions (MHF 4UP) must complete a separate Application
for AP Preparation Course form, which is available from their Guidance
Counsellor. In the interim, these students should select MHF 4UE on their
Option Sheet.
Prerequisite: MCR3UP (recommended) or MCR3UE, Grade 11 Functions.
This course extends the students’ experience with functions and lays the
foundation of concepts and skills needed for the study of calculus at the AP
level. Students will review and further develop the properties of
polynomial, rational, logarithmic and trigonometric functions; develop their
understanding of rates of change; and use functions to model real world
situations. Students will continue to hone their skills in reasoning and
proving, computation and algebraic manipulation, communicating and modeling.
This course is a pre-requisite for MCV4UP, Calculus and Vectors, and is a
pre-requisite or recommended preparation for a variety of university
programs.
Course Fee: $15.
MCV 4UE - Calculus and Vectors
Pre-requisite/Co-requisite: MHF4U, Advanced Functions
This course builds on the students’ experience with functions and
broadens the understanding of rates of change to include the derivatives of
polynomial, rational, exponential and trigonometric functions. Students will
apply these concepts and skills to modeling of real-world relationships in
order to solve problems involving optimization, velocity, acceleration,
rates of change and graphical analysis. Students will also solve problems
involving geometric and algebraic representations of vectors in two- and
three-dimensional space, and they will use vectors to represent lines and
planes. This course is recommended preparation for students who plan to
study mathematics, engineering, physics in university.
Course Fee: $15.
MCV 4UP - Calculus and Vectors - AP Stream
Students who wish to apply to enroll in the Advanced Placement section of
grade 12 Calculus and Vectors (MCV 4UP) must complete a separate Application
for AP Preparation Course form, which is available from their Guidance
Counsellor. In the interim, these students should select MCV 4UE on their
Option Sheet.
Pre-requisite/Co-requisite: MHF4U, Advanced Functions
This course builds on the students’ experience with functions and
broadens the understanding of rates of change to include the derivatives of
polynomial, rational, exponential and trigonometric functions. Students will
apply these concepts and skills to modeling of real-world relationships in
order to solve problems involving optimization, velocity, acceleration,
rates of change and graphical analysis. Students will also solve problems
involving geometric and algebraic representations of vectors in two- and
three-dimensional space, and they will use vectors to represent lines and
planes. This course is recommended preparation for students who plan to
study mathematics, engineering, physics in university, and this course will
accommodate students who want to earn a credit in AP Calculus.
Course Fee: $15
COMPUTER STUDIES
The computer has had a profound effect on society. Every citizen must be
familiar with computer
technology to some degree to function effectively in the modern world. The
aim of the computer studies curriculum is first of all to increase students’
general understanding of the uses of computers to enhance their education in
all subjects. Computer science courses then provide a detailed look at the
principles of computing with an eye toward possible careers in scientific or
computer related fields. Throughout, a conscious effort is made to focus on
concepts and principles that will be of lasting value in the face of changes
and improvements in technology.
Foundation I
COMP F1 - Introduction to Computer Studies
This is a 1 class per week, non-credit, no-homework course aimed at
improving F1 students’ computer skills. The primary purpose is to help
students acquire the tools they need to complete assignments in other
courses that depend on the use of computers. Related objectives are to
provide a broad level of computer literacy through exposure to a wide range
of software and equipment, and to provide a background in computer
technologies.
Middle IV and Senior V
ICS 3ME – Computer and Information Science
Pre-requisite: None.
This course is primarily for M4 and S5 students who wish to become
acquainted with the fundamental concepts of computer science. Students will
develop an understanding of computer programming topics including repetition
and decision structures, input and output, arrays, functions, procedures,
and program documentation. Students will develop their programming and
problem solving skills by investigating problems involving mathematics and
science, data management, graphics and animation. The course is designed to
accommodate varying introductory capabilities and provides opportunities for
those who wish to explore computer programming in greater depth at this
level. Computer careers, emergent technologies and other computer related
topics will also be addressed.
Course Fee: $10
Senior V and Senior VI
ICS 4ME – Computer and Information Science
Pre-requisite: ICS 3ME
This is a computer programming course focused on the principles of
software design using an object oriented approach. Students are expected to
have an understanding of variables, arrays, repetition and decision-making
structures, procedures and functions from their previous experience in using
any computer programming language. Topics studied in the course include data
structures, graphics, control systems, scientific applications and
artificial intelligence. Throughout the course, students work in teams on
small projects exploring most of the aspects of software development. Each
student will complete a final project of her or his choice. There is an
opportunity to participate in programming and problem solving competitions.
Course Fee: $10
