Offered by:Integrated Studies in Ed
Degree:Bachelor of Education
Program Requirement:
The Bachelor of Education (B.Ed.) 鈥� Secondary Mathematics program requires 120 credits and leads to teacher certification. Students who have not completed Quebec CEGEP, French Baccalaureate, International Baccalaureate, or at least one year of university studies prior to commencing the B.Ed. must also complete a minimum of 30 credits of Freshman courses (in addition to the 120 credits for the program) for a total of 150 credits.
Note: Students entering this program from CEGEP or with Advanced Standing should have a strong background in their Mathematics courses. Students entering from CEGEP or with Advanced Standing without having completed two calculus courses and one linear algebra course (MATH 133, MATH 140, and MATH 141 or their equivalents) will be required to make up any deficiencies in these courses over and above the degree requirements.
The aim of the B.Ed. Secondary Education program is to prepare strong beginning teachers for the secondary school level.
This integrated program consists of courses in Education (including field experiences) and courses in the subject area of the teaching specialization. Students also take 6 credits of free electives. For all teacher education programs, course sequencing is highly structured. For this reason, the advising information in this eCalendar section must be used in conjunction with the summary companion document (Program Overview) found at .
The Secondary Mathematics program provides students with the learning opportunities needed to become proficient Mathematics teachers.
Please note that graduates of teacher education programs are recommended by the University to the Quebec Ministry of Education for Quebec teacher certification. For more information about teacher certification in Quebec, please refer to the Faculty of Education section under "Overview of Faculty Programs", "Undergraduate Education Programs", and "Quebec Teacher Certification".
Freshman Program
Students normally complete 30 credits in their Freshman (U0) year.
The Freshman year is the time to take introductory-level courses in Mathematics, as well as to explore areas that are not normally taken as teachable subject areas within B.Ed. programs (e.g., Sociology, Psychology, Political Science, etc.). Students should also investigate the possibility of taking one of the First Year Seminar courses offered by the Faculty of Arts or the Faculty of Science.
Students in the Secondary Mathematics program must complete three Math prerequisite courses in their Freshman year, MATH 133, MATH 140, and MATH 141.
In addition, students select courses from the recommended list below or other courses in consultation with the Program Adviser. The French Second Language (FRSL) courses suggested require a placement test to determine the appropriate course level.
-
EDEM 220
Contemporary Issues in Ed.
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Admin & Policy Studies in Ed: An introduction to contemporary issues in education in local, national and international contexts, including a critical perspective on educational issues by drawing on a variety of analytical frameworks.
Offered by: Integrated Studies in Ed
- Terms
- Instructors
- Mitchell Miller, Jason Lister
-
FRSL 101
Beginners French 1
3 Credits
Offered in the:
- Fall
- Winter
- Summer
French as a Second Language: A comprehensive introduction to basic vocabulary, grammatical structures and speech patterns of written and oral French for students in any degree program having no previous knowledge of French. Learning to communicate at a functional level in a French-speaking environment. Short essays, cultural readings, mandatory lab practice.
Offered by: French Language Centre
- Prerequisite: Placement test
- Language laboratory and oral practice with a French monitor if available.
- Placement test. No knowledge of French.
- Restriction: Not open to students who have taken FRSL 101D1/D2, FRSL 103, FRSL 104, or FRSL 105.
- Terms
- Instructors
- Christine Petcoff, Marion Vergues, Laura Bourrel, Viviane Kwan-Lock, Zeina Maatouk, Anne Lechowicz
-
FRSL 102
Beginners French 2
3 Credits
Offered in the:
- Fall
- Winter
- Summer
French as a Second Language: A comprehensive introduction to basic vocabulary, grammatical structures and speech patterns of written and oral French for students in any degree program having no previous knowledge of French. Learning to communicate at a functional level in a French-speaking environment. Short essays, cultural readings, mandatory lab practice.
Offered by: French Language Centre
- Language laboratory and oral practice with a French monitor if available.
- Prerequisite: FRSL 101
- Terms
- Instructors
- Christine Petcoff, Marion Vergues, Laura Bourrel, Viviane Kwan-Lock, Marie-Claude Labbe, Marie-Philip Mathieu
-
FRSL 207D1
Elementary French 01
3 Credits
Offered in the:
- Fall
- Winter
- Summer
French as a Second Language: This two-term course uses a task-based approach to provide students with authentic materials related to Canadian culture and prepares them for real life communication. Therefore, class time will be mostly dedicated to the completion of communicative tasks which often rely on the use of technology (mobile apps,
blogs and other online tools). This course tackles different topics that students can relate to in their personal, social and academic life, and provides a review and further training in elementary language structures to develop their communication skills and digital literacy in French.
Offered by: French Language Centre
- Terms
- Instructors
- Christine Petcoff, Alida Souc茅, Marie-Philip Mathieu
-
FRSL 207D2
Elementary French 01
3 Credits
Offered in the:
- Fall
- Winter
- Summer
French as a Second Language: See FRSL 207D1 for course description.
Offered by: French Language Centre
- Terms
- Instructors
- Christine Petcoff, Alida Souc茅, Marie-Philip Mathieu
-
FRSL 211D1
Oral and Written French 1
3 Credits
Offered in the:
- Fall
- Winter
- Summer
French as a Second Language: Language lab attendance required. Grammar review, comprehension, vocabulary development, selected readings and group discussions.
Offered by: French Language Centre
- 3 hours, plus language laboratory
- Prerequisite(s): FRSL 207D1 and 207D2, or 208, or Placement test
- Restriction: Not open to students from Qu茅bec
- Students must register for both FRSL 211D1 and FRSL 211D2.
- No credit will be given for this course unless both FRSL 211D1 and FRSL 211D2 are successfully completed in consecutive terms
- FRSL 211D1 and FRSL 211D2 together are equivalent to FRSL 211
- Terms
- Instructors
- Chantal A Creck, Samantha C Damay
-
FRSL 211D2
Oral and Written French 1
3 Credits
Offered in the:
- Fall
- Winter
- Summer
French as a Second Language: See FRSL 211D1 for course description.
Offered by: French Language Centre
- Prerequisite(s): FRSL 207D1 and 207D2, or 208, or Placement test
- No credit will be given for this course unless both FRSL 211D1 and FRSL 211D2 are successfully completed in consecutive terms
- FRSL 211D1 and FRSL 211D2 together are equivalent to FRSL 211
- Terms
- Instructors
- Chantal A Creck, Samantha C Damay
-
MATH 133
Linear Algebra and Geometry
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization.
Offered by: Mathematics and Statistics
- 3 hours lecture, 1 hour tutorial
- Prerequisite: a course in functions
- Restriction(s): 1) Not open to students who have taken CEGEP objective 00UQ or equivalent. 2) Not open to students who have taken or are taking MATH 123, except by permission of the Department of Mathematics and Statistics.
- Terms
- Fall 2024
- Winter 2025
- Summer 2025
- Instructors
- Jeremy Macdonald, Antoine Giard, Miguel Ayala, Romain Branchereau
- Th茅o Pinet
-
MATH 140
Calculus 1
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
Offered by: Mathematics and Statistics
- 3 hours lecture, 1 hour tutorial
- Prerequisite: High School Calculus
- Restriction(s): 1) Not open to students who have taken MATH139 or MATH 150 or CEGEP objective 00UN or equivalent. 2) Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics.
- Each Tutorial section is enrolment limited
- Terms
- Fall 2024
- Winter 2025
- Summer 2025
- Instructors
- Sidney Trudeau, Marcin Sabok, Artem Kalmykov
- Peiyuan Huang, Sidney Trudeau
-
MATH 141
Calculus 2
4 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): The definite integral. Techniques of integration. Applications. Introduction to sequences and series.
Offered by: Mathematics and Statistics
- Prerequisites: MATH 139 or MATH 140 or MATH 150.
- Restriction(s): Not open to students who have taken CEGEP objective 00UP or equivalent.
- Restriction(s): Not open to students who have taken or are taking MATH 122,except by permission of the Department of Mathematics and Statistics.
- Each Tutorial section is enrolment limited
- Terms
- Fall 2024
- Winter 2025
- Summer 2025
- Instructors
- Andrei Zlotchevski, Sidney Trudeau, Hazem A Hassan
- Sidney Trudeau, Bartosz Syroka, Antoine Poulin
-
RELG 204
Judaism, Christianity&Islam
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Religious Studies: An introduction to the beliefs, practices, and religious institutions of these three world religions.
Offered by: Religious Studies
- Terms
- Instructors
- Daniel M Cere, Armando Salvatore, Matheus G de Carvalho
-
RELG 207
Intro to Study of Religions
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Religious Studies: This course is an introduction to classic and contemporary approaches to the academic study of religions. This includes perspectives from philosophy, theology, anthropology, sociology, psychology, phenomenology, and feminism. Students are also exposed to applications of these perspectives from visiting scholars who treat some aspect of a religious tradition in light of current-day interests and events. The primary objective is to introduce students to the principal theories and methods that have shaped our understanding of religion, its various meanings as well as its roles and functions in society.
Offered by: Religious Studies
- Restriction(s): Not open to students who have taken RELG 255.
- Winter
-
WCOM 250
Research Essay and Rhetoric
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Written and Oral Communication: Academic research-based writing across the disciplines. Article summary, critical analysis, rhetorical strategies, citation and paraphrase of academic sources, and editing for cohesion and clarity.
Offered by: 成人VR视频 Writing Centre
- Restriction: Not open to students who have taken CESL 500 or CEAP 250 or WCOM 255. Only open to students in degree programs - all years and faculties.
- Intended for students whose first language is English.
- Entrance test: Short essay first day of classes.
- Terms
- Instructors
- Richard R Cooper, Yvonne Hung, Zachary J Abram, Andr茅 R Babyn, Kodi Scheer
- Sumanthra Govender, Yvonne Hung, Richard R Cooper, Zachary J Abram
Required Courses (60 credits)
-
EDEC 201
1st Year Professional Seminar
1 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: Orientation to the culture and community of school and to teaching as a profession. Focus on the general functioning of schools and complexity of the teacher role. Competencies and working professional portfolios will be addressed.
Offered by: Integrated Studies in Ed
- Corequisite: EDFE 200
- Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students only
- Terms
- Instructors
- Jessica Saada, Doris M Cowley, Allison Holloway, Stephanie Ho, Jen A Hinkkala, Ashley Jarvis
-
EDEC 215
English Exam for Teacher Cert.
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: The English Exam for Teacher Certification (EETC) is a Quebec Ministry of Education-required component of the B.Ed. degree. The exam is coordinated by an independent organization, the Centre for the English Exam for Teacher Certification (CEETC). Consists of a 2-hour exam designed to assess teacher
candidates' competency in the language of instruction. Must be completed before the 3rd Field Experience. Students must register for EDEC 215 and register for the EETC on the CEETC website. Students who do not pass after four attempts require permission from the Internships & Student Affairs Office to re-take the exam.
Offered by: Integrated Studies in Ed
- Terms
- Instructors
- Jill Brook, Stephen Peters
-
EDEC 233
Indigenous Education
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: An exploration of Indigenous knowledge and pedagogy, primarily in Canada but also world-wide. Consideration of the diverse social, cultural, linguistic, political, and pedagogical histories of Indigenous communities. Examines how a teacher's professional identity and practice can be influenced by an understanding of Indigenous knowledge and worldviews.
Offered by: Integrated Studies in Ed
- There is a $25 fee used to purchase essential materials needed to provide students with first hand insight into indigenous ways of knowing. Fees are also used to remunerate indigenous elders, knowledge keepers and/or cultural presenters that provide cultural or pedagogical expertise.
- Terms
- Instructors
- Michelle Kennedy
- Geraldine M King, Michelle Kennedy
-
EDEC 247
Policy Issues:QC&Indigenous Ed
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: The organization of Quebec education, including Indigenous education, from historical, political, social, cultural and legal perspectives. The implications and contributions of policy decisions to schools, students, and families.
Offered by: Integrated Studies in Ed
- Restriction: Not open to students who have taken EDEM 405.
- **Due to the intensive nature of this course, the standard add/drop and withdrawal deadlines do not apply. Add/drop is the second lecture day and withdrawal is the fifth lecture day.
- Terms
- Instructors
- Tino Bordonaro, Frederick Farmer
-
EDEC 254
Second Prof Seminar (Sec)
1 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: Preparation for the second field experience through development of basic practices in planning and teaching in secondary school classrooms. Competencies and professional portfolio will be addressed.
Offered by: Integrated Studies in Ed
- Corequisite: EDFE 254 or EDFE 254D1
- Restrictions: Open to B.Ed. Sec and concurrent B.Sc. and B.Ed. students.
- Terms
- Instructors
- There are no professors associated with this course for the 2024-2025 academic year
-
EDEC 260
Philosophical Foundations
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: Ideas essential for the development of a coherent educational theory and sound professional practice. Reflections on: the nature of the person, of reality, of knowledge, and of value; the aims of education, the nature of the school and the curriculum, the roles and responsibilities of professional educators.
Offered by: Integrated Studies in Ed
- Restrictions: Not open to students who have taken EDER 400. Students who have taken or are taking EDEC 261 cannot take this course for credit.
- Terms
- Instructors
- Nasim Noroozi, Jayne Malenfant, Helal H Dhali
- Jason Lister
-
EDEC 262
Media, Tech. and Education
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: Orientation to the equipment and systems of educational technology. Examination of theories of educational technology, media education and technology education and the exploration and development of possible applications in school settings.
Offered by: Integrated Studies in Ed
- **Due to the intensive nature of this course, the standard add/drop and withdrawal deadlines do not apply. Add/drop is the second lecture day and withdrawal is the fourth lecture day.
- Terms
- Instructors
- Michael B Lipset, Joseph B Margallo, Ashley Jarvis
- Ravinder Gill, Heather McPherson, Michael B Lipset
-
EDEC 351
Third Prof Seminar (Sec)
2 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: Professional portfolios and competencies will be addressed. Preparation for the third field experience through engaging in the full spectrum of unit/lesson planning, critical analysis and self-reflection. Professional portfolios and competencies will be addressed.
Offered by: Integrated Studies in Ed
- Terms
- Instructors
- Jason Lister, Hannah R Chestnutt
-
EDEC 404
4th Yr Prof. Seminar (Sec)
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: Preparation for the final field experience and entry into the teaching profession. Emphasis will be placed on developing the ability to demonstrate ethical and responsible professional behaviour in the performance of duties across all professional competencies. Final transition to showcase working professional portfolios will be addressed.
Offered by: Integrated Studies in Ed
- Terms
- Instructors
- Gabrielle Smith, Limin Jao, Aron L Rosenberg
-
EDES 350
Classroom Practices
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Secondary Education: Competency-based discipline skills and methods of classroom management, emphasizing the relationship between theory and practice; the rationale for various approaches to classroom management; strategies for developing instruction that focus attention and reduce off-task behaviour.
Offered by: Integrated Studies in Ed
- Terms
- Instructors
- Constance Buki, Terry Price
-
EDES 353
Teaching Sec. Mathematics 1
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Secondary Education: Provides insight and understanding of the Quebec secondary mathematics program. Focuses on key areas of what secondary mathematics teachers need to know and be able to do to support students' development of mathematical understanding (focus on mathematics content, students' reasoning, and pedagogy).
Offered by: Integrated Studies in Ed
- Prerequisite(s): 18 credits in university mathematics courses at or above the 200 level.
-
EDES 453
Teaching Sec. Mathematics 2
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Secondary Education: This course supplements EDES 353 for students who select Mathematics as a single teachable subject. Evaluation of learning in Mathematics, obstacles to learning, technological aids to learning.
Offered by: Integrated Studies in Ed
- Prerequisite: EDES 353
- Restriction: Not open to students who have taken EDEC 338
-
EDFE 200
First Field Exp. (K/Elem&Sec)
2 Credits
Offered in the:
- Fall
- Winter
- Summer
Student Teaching: Students are assigned to a school for a "participant observer" field experience. Students are expected to apprise themselves of Field Experience dates, duration and responsibilities as outlined on the Internships & Student Affairs website at .
Offered by: Education - Dean's Office
- Corequisite: EDEC 201
- Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students
- Terms
- Instructors
- Stephen Peters, Yasmine Zein
-
EDFE 254
Second Field Exp. (Sec)
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Student Teaching: Supervised student teaching. Students are expected to apprise themselves of Field
Experience dates, duration and responsibilities as outlined on the Internships and Student Affairs website at .
Offered by: Education - Dean's Office
- Prerequisite: EDFE 200 or EDFE 209 or EDFE 246 or EDFE 205
- Corequisite: EDEC 254 or EDEC 254D1
- Note: Expectations for this field experience, according to your program, can be found at .
- Restrictions: Restriction: Open to B.Ed. in Secondary English, B.Ed. in Secondary Social Sciences, B.Ed. in Secondary Mathematics, and B.Ed. in Secondary Science and Technology students.
- Terms
- This course is not scheduled for the 2024-2025 academic year
- Instructors
- There are no professors associated with this course for the 2024-2025 academic year
-
EDFE 351
Third Field Exp. (Sec)
8 Credits
Offered in the:
- Fall
- Winter
- Summer
Student Teaching: Supervised student teaching in a school. Students are expected to apprise themselves of Field Experience, dates, duration and responsibilities as outlined on the Internships & Student Affairs Office website .
Offered by: Education - Dean's Office
-
EDFE 451
Fourth Field Exp. (Sec)
7 Credits
Offered in the:
- Fall
- Winter
- Summer
Student Teaching: Supervised student teaching in a school. Students will be expected to assume a much increased responsibility for student learning, classroom management, and evaluation. Students are expected to apprise themselves of Field Experience dates, duration and responsibilities as outlined on the Internships and Student Affairs website at .
Offered by: Education - Dean's Office
- Prerequisites: EDFE 351.
- Corequisite: EDEC 404.
- Restriction: Open to B.Ed. Secondary students only
- Note: Expectations for this field experience, according to your program, can be found at .
- Terms
- Instructors
- Yasmine Zein
- Yasmine Zein
-
EDPE 300
Educational Psychology
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Ed Psych & Couns (Psychology): Selected theories, models, and concepts relevant to planning and reflecting upon educational practice and improvement. Overview of development, learning, thinking, motivation, individual difference, etc. In relation to applications in classroom teaching and learning, the complementary role of counsellors and psychologists, educational computing and technology. The Youth Protection Act.
Offered by: Educational&Counselling Psych
- Terms
- Instructors
- Roberta Thomson, Gus Appignanesi, Flavio K Murahara
- Julia Tesolin
-
EDPE 304
Measurement and Evaluation
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Ed Psych & Couns (Psychology): The purposes of examinations. Causes of complaints about examinations. Equalizing means and dispersions in distribution of marks. Standardized scores. The percentile system. Essay and objective-type examinations. Taxonomies of educational objectives. Validity and reliability: item analysis.
Offered by: Educational&Counselling Psych
- Terms
- Instructors
- Marian Jazvac-Martek
- Marian Jazvac-Martek
-
EDPI 309
Diverse Learners
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Ed Psych & Couns (Inclusive): Inclusion debates; review of the evolution of the history of inclusive education; models of development ( eco-systemic models); characteristics, teaching practices; teachers' roles in inclusive classrooms. Overview of characteristics, causes, needs, and teaching strategies for diverse and exceptional students, teaching and learning for differences in intellectual, emotional, behavioural, sensory, physical and learning domains found in effective inclusive classrooms. Working with families.
Offered by: Educational&Counselling Psych
- Restriction: Open to B.Ed. and Concurrent students only.
- Offered through Continuing Education or Summer Studies.
- Prerequisite: EDPI 341
-
EDPI 341
Instruction in Inclusive Schls
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Ed Psych & Couns (Inclusive): Developing, planning, implementing and evaluating effective learning programs for diverse learners, and consideration of their more general applicability. Adapting curriculum and instruction for learners with varying abilities, learning styles, and needs. Collaboration with students, families, and other educators (or stakeholders) in the instructional process. Application of adaptations at the classroom and school level for all students in inclusive schools.
Offered by: Educational&Counselling Psych
- Restriction: Open to B.Ed. students only
- Also offered through Continuing Education.
- Prerequisite: EDPE 300.
- Terms
- Instructors
- Caroline Temcheff, Gus Appignanesi
Complementary Courses (3 credits)
3 credits selected as described below.
Multicultural Education
3 credits from:
-
EDEC 248
Equity and Education
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: Introduction to and exploration of contemporary issues and theories about equity in education and society in Quebec/Canada from a range of perspectives, including
the historical, political, social, and economic. Provides learning opportunities for future educators to critically reflect upon and engage with equity issues and concerns in relation to schooling, including the exploration of classroom resources and activities that foster anti-racism, anti-oppression and intercultural approaches.
Offered by: Integrated Studies in Ed
- Restriction: Not open to students who have taken or are taking EDEC 249.
- Terms
- Instructors
- Melanie Bennett-Stonebanks, Nagui Demian
- Emmanuel Tabi
-
EDEC 249
Global Ed. and Social Justice
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Curriculum and Instruction: A cross-curricular, interdisciplinary approach to teaching/creating learning experiences for students. It will foster critical thinking and nurture lifelong global understanding, active engagement and participation in relation to questions of social, economic, and environmental justice, by infusing these issues in the classroom.
Offered by: Integrated Studies in Ed
- Restriction: Not open to students who have taken or are taking EDEC 248.
- Terms
- Instructors
- Rhoda Nanre Nafziger
- Adama Kaba, Cris Barabas
Secondary Mathematics Subject Area (51 credits)
Secondary Mathematics students complete 51 credits selected in consultation with the Program Adviser in one of two options.
Option 1
21 credits from the list of "Required Mathematics Courses" and
30 credits from the list of "Complementary Mathematics Courses"
Or
Option 2:
21 credits from the list of "Required Mathematics Courses" and
15 credits from the list of "Complementary Mathematics Courses"
And
15 credits of designated courses in another unofficial "teachable" subject area (English, Social Sciences, or Science and Technology - see an adviser for courses).
Required Mathematics Courses (21 credits)
-
MATH 222
Calculus 3
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Offered by: Mathematics and Statistics
- Terms
- Fall 2024
- Winter 2025
- Summer 2025
- Instructors
- Brent Pym, Damien Tageddine
- Hovsep Mazakian
-
MATH 223
Linear Algebra
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Offered by: Mathematics and Statistics
- Terms
- Instructors
- Shereen Elaidi, Hugues Bellemare
- Jeremy Macdonald
-
MATH 228
Classical Geometry
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): This course is designed to reintroduce classical Euclidean geometry to tomorrow鈥檚 teachers. Topics include: Axioms and Euclid鈥檚 Elements, the triangle theorem, the Pythagorean Theorem and its extensions, basic constructions and similar triangles, Thales鈥� theorems and cyclic quadrilaterals, the centers of triangles, the nine-point circle, conic sections and analytic geometry, the prismatoid formula, the Platonic solids, non-Euclidean geometries.
Offered by: Mathematics and Statistics
- Restrictions: Cannot be taken for credit by students in Mathematics and Statistics programs.
- Not open to students who have taken or are taking MATH 348 or MATH 398.
- Terms
- This course is not scheduled for the 2024-2025 academic year
- Instructors
- There are no professors associated with this course for the 2024-2025 academic year
-
MATH 315
Ordinary Differential Eqns
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Offered by: Mathematics and Statistics
- Terms
- Instructors
- Courtney Paquette
- Niky Kamran
-
MATH 323
Probability
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Offered by: Mathematics and Statistics
- Prerequisites: MATH 141 or equivalent.
- Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
- Restriction: Not open to students who have taken or are taking MATH 356
- Terms
- Fall 2024
- Winter 2025
- Summer 2025
- Instructors
- Alia Sajjad
- Tharshanna Nadarajah
-
MATH 324
Statistics
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Offered by: Mathematics and Statistics
- Fall and Winter
- Prerequisite: MATH 323 or equivalent
- Restriction: Not open to students who have taken or are taking MATH 357
- You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
- Terms
- Instructors
- Tharshanna Nadarajah
- Masoud Asgharian
-
MATH 338
History & Philosophy of Math
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Egyptian, Babylonian, Greek, Indian and Arab contributions to mathematics are studied together with some modern developments they give rise to, for example, the problem of trisecting the angle. European mathematics from the Renaissance to the 18th century is discussed, culminating in the discovery of the infinitesimal and integral calculus by Newton and Leibnitz. Demonstration of how mathematics was done in past centuries, and involves the practice of mathematics, including detailed calculations, arguments based on geometric reasoning, and proofs.
Offered by: Mathematics and Statistics
Complementary Mathematics Courses
(30 OR 15 credits)
3 credits from:
-
MATH 235
Algebra 1
3 Credits*
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; homomorphisms and quotient groups.
Offered by: Mathematics and Statistics
- Fall
- 3 hours lecture; 1 hour tutorial
- Prerequisite: MATH 133 or equivalent
- Restrictions: Not open to students who have taken or are taking MATH 245.
-
MATH 242
Analysis 1
3 Credits*
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
Offered by: Mathematics and Statistics
- Fall
- Prerequisite: MATH 141
- Restriction(s): Not open to students who are taking or who have taken MATH 254.
* Should be taken in Year 1 or Year 2
27 credits from the list below for Secondary Mathematics Option 1 students or
12 credits from the list below for Secondary Mathematics Option 2 students
-
COMP 202
Foundations of Programming
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Computer Science (Sci): Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
Offered by: Computer Science
- 3 hours
- Restrictions: Not open to students who have taken or are taking COMP 204, COMP 208, or GEOG 333; not open to students who have taken or are taking COMP 206 or COMP 250.
- COMP 202 is intended as a general introductory course, while COMP 204 is intended for students in life sciences, and COMP 208 is intended for students in physical sciences and engineering.
- To take COMP 202, students should have a solid understanding of pre-calculus fundamentals such as polynomial, trigonometric, exponential, and logarithmic functions.
- Terms
- Instructors
- Faten M'hiri
- Faten M'hiri
-
COMP 230
Logic and Computability
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Computer Science (Sci): Propositional Logic, predicate calculus, proof systems, computability Turing machines, Church-Turing thesis, unsolvable problems, completeness, incompleteness, Tarski semantics, uses and misuses of G枚del's theorem.
Offered by: Computer Science
- 3 hours
- Prerequisite: CEGEP level mathematics.
- Terms
- This course is not scheduled for the 2024-2025 academic year
- Instructors
- There are no professors associated with this course for the 2024-2025 academic year
-
EDTL 520
Persp on Knowl in Math & Sci
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Education Teaching & Learning: A variety of perspectives on construction of knowledge in mathematics and science and how the products of scientific and mathematical practices are shaped by broader social, cultural, and political forces.
Offered by: Integrated Studies in Ed
- Prerequisite: Students must have completed, with a grade of C or higher, a minimum of 24 credits in Mathematics and/or Science courses.
- Restriction: Restricted to MATL Science & Technology, MATL Mathematics, B.Ed. Secondary Science & Technololgy and B.Ed. Secondary Mathematics students or by permission of instructor.
- Not open to students who have taken EDEC 646 or EDEC 647.
-
MATH 235
Algebra 1
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; homomorphisms and quotient groups.
Offered by: Mathematics and Statistics
- Fall
- 3 hours lecture; 1 hour tutorial
- Prerequisite: MATH 133 or equivalent
- Restrictions: Not open to students who have taken or are taking MATH 245.
-
MATH 236
Algebra 2
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Linear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and
eigenvalues. Diagonalizable operators. Cayley-Hamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric
matrices. Canonical forms.
Offered by: Mathematics and Statistics
-
MATH 242
Analysis 1
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
Offered by: Mathematics and Statistics
- Fall
- Prerequisite: MATH 141
- Restriction(s): Not open to students who are taking or who have taken MATH 254.
-
MATH 243
Analysis 2
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Definition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces.
Offered by: Mathematics and Statistics
-
MATH 314
Advanced Calculus
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
Offered by: Mathematics and Statistics
- Terms
- Instructors
- Gabriel Martine
- Jack Anthony Borthwick
-
MATH 316
Complex Variables
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Algebra of complex numbers, Cauchy-Riemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications.
Offered by: Mathematics and Statistics
-
MATH 317
Numerical Analysis
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
Offered by: Mathematics and Statistics
-
MATH 318
Mathematical Logic
3 Credits**
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Propositional logic: truth-tables, formal proof systems, completeness and compactness theorems, Boolean algebras; first-order logic: formal proofs, G枚del's completeness theorem; axiomatic theories; set theory; Cantor's theorem, axiom of choice and Zorn's lemma, Peano arithmetic; G枚del's incompleteness theorem.
Offered by: Mathematics and Statistics
-
MATH 319
Partial Differential Equations
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series, boundary and initial value problems.
Offered by: Mathematics and Statistics
-
MATH 326
Nonlinear Dynamics and Chaos
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Linear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.
Offered by: Mathematics and Statistics
-
MATH 327
Matrix Numerical Analysis
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): An overview of numerical methods for linear algebra applications and their analysis. Problem classes include linear systems, least squares problems and eigenvalue problems.
Offered by: Mathematics and Statistics
- Terms
- This course is not scheduled for the 2024-2025 academic year
- Instructors
- There are no professors associated with this course for the 2024-2025 academic year
-
MATH 329
Theory of Interest
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Simple and compound interest, annuities certain, amortization schedules, bonds, depreciation.
Offered by: Mathematics and Statistics
- Terms
- This course is not scheduled for the 2024-2025 academic year
- Instructors
- There are no professors associated with this course for the 2024-2025 academic year
-
MATH 340
Discrete Mathematics
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Discrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
Offered by: Mathematics and Statistics
-
MATH 346
Number Theory
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Divisibility. Congruences. Quadratic reciprocity. Diophantine equations. Arithmetical functions.
Offered by: Mathematics and Statistics
- Winter
- Prerequisite: MATH 235 or consent of instructor
- Restriction: Not open to students who have taken or are taking MATH 377.
-
MATH 348
Euclidean Geometry
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Points and lines in a triangle. Quadrilaterals. Angles in a circle. Circumscribed and inscribed circles. Congruent and similar triangles. Area. Power of a point with respect to a circle. Ceva鈥檚 theorem. Isometries. Homothety. Inversion.
Offered by: Mathematics and Statistics
- Prerequisite: MATH 133 or equivalent or permission of instructor.
- Restriction: Not open to students who have taken MATH 398.
- Terms
- This course is not scheduled for the 2024-2025 academic year
- Instructors
- There are no professors associated with this course for the 2024-2025 academic year
-
MATH 417
Linear Optimization
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): An introduction to linear optimization and its applications: Duality theory, fundamental theorem, sensitivity analysis, convexity, simplex algorithm, interior-point methods, quadratic optimization, applications in game theory.
Offered by: Mathematics and Statistics
-
MATH 423
Applied Regression
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Multiple regression estimators and their properties. Hypothesis tests and confidence
intervals. Analysis of variance. Prediction and prediction intervals. Model diagnostics. Model selection. Introduction to weighted least squares. Basic contingency table analysis. Introduction to logistic and Poisson regression. Applications to experimental and observational data.
Offered by: Mathematics and Statistics
-
MATH 447
Intro. to Stochastic Processes
3 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Conditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.
Offered by: Mathematics and Statistics
- Winter
- Prerequisite: MATH 323
- Restriction: Not open to students who have taken or are taking MATH 547.
-
MATH 523
Generalized Linear Models
4 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Exponential families, link functions. Inference and parameter estimation for generalized linear models; model selection using analysis of deviance. Residuals. Contingency table analysis, logistic regression, multinomial regression, Poisson regression, log-linear models. Multinomial models. Overdispersion and Quasilikelihood.
Applications to experimental and observational data.
Offered by: Mathematics and Statistics
-
MATH 524
Nonparametric Statistics
4 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Distribution free procedures for 2-sample problem: Wilcoxon rank sum, Siegel-Tukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: Kruskal-Wallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chi-square, likelihood ratio, Kolmogorov-Smirnov tests. Statistical software packages used.
Offered by: Mathematics and Statistics
- Fall
- Prerequisite: MATH 324 or equivalent
- Restriction: Not open to students who have taken MATH 424
-
MATH 525
Sampling Theory & Applications
4 Credits
Offered in the:
- Fall
- Winter
- Summer
Mathematics & Statistics (Sci): Simple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse.
Offered by: Mathematics and Statistics
- Prerequisite: MATH 324 or equivalent
- Restriction: Not open to students who have taken MATH 425
-
PHIL 210
Intro to Deductive Logic 1
3 Credits**
Offered in the:
- Fall
- Winter
- Summer
Philosophy: An introduction to propositional and predicate logic; formalization of arguments, truth tables, systems of deduction, elementary metaresults, and related topics.
Offered by: Philosophy
- Restriction: Not open to students who are taking or have taken MATH 318
** Students cannot receive credit for both.
Unofficial "Teachable" Subject Area
15 credits
15 credits of designated courses for Secondary Mathematics Option 2 students (English, Social Sciences, or Science and Technology - see an adviser for course selection)
Electives (6 credits)
Note: Students who have chosen to do 36 credits in one teachable subject and 15 credits in another will use 3 credits of electives to take the Secondary Teaching Methods course needed for their second unofficial teachable subject.
