Note: This is the 2022–2023 eCalendar. Update the year in your browser's URL bar for the most recent version of this page, or .
Program Requirements
The Bachelor of Education (B.Ed.) – 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.
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EDEM 220 Contemporary Issues in Education (3 credits)
Overview
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.
Terms: Fall 2022
Instructors: Zreim, Sarah (Fall)
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FRSL 101 Beginners French 1 (3 credits)
Overview
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.
Terms: Fall 2022
Instructors: Vergues, Marion; Bourrel, Laura; Abi Mansour, Dolly; Kwan-Lock, Viviane; Petcoff, Christine; Bessière, Julie; Jobin, Caroline (Fall)
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.
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FRSL 102 Beginners French 2 (3 credits)
Overview
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.
Terms: Winter 2023
Instructors: Bourrel, Laura; Vergues, Marion; Bessière, Julie; Kwan-Lock, Viviane (Winter)
Language laboratory and oral practice with a French monitor if available.
Prerequisite: FRSL 101
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FRSL 207D1 Elementary French 01 (3 credits)
Overview
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.
Terms: Fall 2022
Instructors: Soucé, Alida; Petcoff, Christine; Jobin, Caroline (Fall)
3 hours, plus language laboratory
Prerequisite(s): FRSL 101 and FRSL 102, or FRSL 103, or FRSL 104, or FRSL 105, or Placement test required.
Restriction: Not open to students who have taken Grade 12 or 13 French in Canada, or equivalent
Students must register for both FRSL 207D1 and FRSL 207D2.
No credit will be given for this course unless both FRSL 207D1 and FRSL 207D2 are successfully completed in consecutive terms
FRSL 207D1 and FRSL 207D2 together are equivalent to FRSL 207
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FRSL 207D2 Elementary French 01 (3 credits)
Overview
French as a Second Language : See FRSL 207D1 for course description.
Terms: Winter 2023
Instructors: Soucé, Alida; Petcoff, Christine; Jobin, Caroline (Winter)
Prerequisite(s): FRSL 207D1 and FRSL 101 and FRSL 102, or FRSL 103, or FRSL 104, or FRSL 105, or Placement test required.
No credit will be given for this course unless both FRSL 207D1 and FRSL 207D2 are successfully completed in consecutive terms
FRSL 207D1 and FRSL 207D2 together are equivalent to FRSL 207
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FRSL 211D1 Oral and Written French 1 (3 credits)
Overview
French as a Second Language : Language lab attendance required. Grammar review, comprehension, vocabulary development, selected readings and group discussions.
Terms: Fall 2022
Instructors: Damay, Samantha; Petcoff, Christine; Creck, Chantal (Fall)
3 hours, plus language laboratory
Prerequisite(s): FRSL 207D1 and 207D2, or 208, or Placement test
Restriction: Not open to students from Québec
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
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FRSL 211D2 Oral and Written French 1 (3 credits)
Overview
French as a Second Language : See FRSL 211D1 for course description.
Terms: Winter 2023
Instructors: Damay, Samantha; Petcoff, Christine; Creck, Chantal (Winter)
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
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MATH 133 Linear Algebra and Geometry (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023, Summer 2023
Instructors: BĂ©langer-Rioux, Rosalie; Mazakian, Hovsep; Gerbelli-Gauthier, Mathilde; Alfieri, Antonio (Fall) Duchesne, Gabriel William (Winter) Leroux-Lapierre, Alexis (Summer)
3 hours lecture, 1 hour tutorial
Prerequisite: a course in functions
Restriction A: Not open to students who have taken MATH 221 or CEGEP objective 00UQ or equivalent.
Restriction B: Not open to students who have taken or are taking MATH 123, except by permission of the Department of Mathematics and Statistics.
Restriction C: Not open to students who are taking or have taken MATH 134.
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MATH 140 Calculus 1 (3 credits)
Overview
Mathematics & Statistics (Sci) : Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
Terms: Fall 2022, Winter 2023, Summer 2023
Instructors: Trudeau, Sidney; Huang, Peiyuan; Mellick, Sam (Fall) Collins-Woodfin, Elizabeth (Winter) Lybbert, Reginald (Summer)
3 hours lecture, 1 hour tutorial
Prerequisite: High School Calculus
Restriction: Not open to students who have taken MATH 120, MATH 139 or CEGEP objective 00UN or equivalent
Restriction: 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
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MATH 141 Calculus 2 (4 credits)
Overview
Mathematics & Statistics (Sci) : The definite integral. Techniques of integration. Applications. Introduction to sequences and series.
Terms: Fall 2022, Winter 2023, Summer 2023
Instructors: Macdonald, Jeremy; Xu, Peter (Fall) Trudeau, Sidney; Barill, Gavin; Mazakian, Hovsep (Winter) Abi Younes, Elio; Hassan, Hazem (Summer)
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RELG 204 Judaism, Christianity and Islam (3 credits)
Overview
Religious Studies : An introduction to the beliefs, practices, and religious institutions of these three world religions.
Terms: Winter 2023
Instructors: Cere, Daniel M; de Carvalho, Matheus; Abdul Salam, Fawaz (Winter)
Winter
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RELG 207 Introduction to the Study of Religions (3 credits)
Overview
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.
Terms: Winter 2023
Instructors: Kanaris, Jim (Winter)
Restriction(s): Not open to students who have taken RELG 255.
Winter
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WCOM 250 Research Essay and
Rhetoric (3 credits)
Overview
WCOM : 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.
Terms: Fall 2022, Winter 2023
Instructors: Cooper, Richard; Hung, Yvonne; Abram, Zachary; Wilson, Emily (Fall) Cooper, Richard; Hung, Yvonne; Babaei, Mehdi (Winter)
Required Courses (60 credits)
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EDEC 201 First Year Professional Seminar (1 credit)
Overview
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.
Terms: Fall 2022, Summer 2023
Instructors: Holloway, Allison; Ho, Stephanie; McCarney, Matthew; Narayanan, Shanmugavalli; Howden, James; McPherson, Heather (Fall) Tisizi, Emmanouela; HINKKALA, JEN (Summer)
Corequisite: EDFE 200
Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students only
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EDEC 215 English Exam for Teacher Certification
Overview
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.
Terms: Fall 2022, Summer 2023
Instructors: Brook, Jill; Peters, Stephen (Fall) Brook, Jill; Peters, Stephen (Summer)
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EDEC 233 Indigenous Education (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023
Instructors: Bennett-Stonebanks, Melanie; Benoit, Brian (Fall) Thorne, Rachel; Morizio, Julien (Winter)
There is a $45 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.
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EDEC 247 Policy Issues in Quebec and Indigenous Education (3 credits)
Overview
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.
Terms: Fall 2022, Summer 2023
Instructors: Bordonaro, Tino (Fall) Bordonaro, Tino; Lister, Jason (Summer)
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.
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EDEC 254 Second Professional Seminar (Secondary) (1 credit)
Overview
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.
Terms: Summer 2023
Instructors: McPherson, Heather; Bennett-Stonebanks, Melanie (Summer)
Corequisite: EDFE 254 or EDFE 254D1
Restrictions: Open to B.Ed. Sec and concurrent B.Sc. and B.Ed. students.
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EDEC 260 Philosophical Foundations (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023
Instructors: White, Boyd; Shodjaee-Zrudlo, Ilya; Lister, Jason; Noroozi, Nasim (Fall) Lister, Jason; Noroozi, Nasim (Winter)
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EDEC 262 Media, Technology and Education (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023
Instructors: Lipset, Michael (Fall) Lipset, Michael; Lafortune, Stéphanie; Farmer, Frederick (Winter)
**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.
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EDEC 351 Third Professional Seminar (Secondary) (2 credits)
Overview
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.
Terms: Fall 2022
Instructors: Bennett-Stonebanks, Melanie; Brook, Jill (Fall)
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EDEC 404 Fourth Year Professional Seminar (Sec) (3 credits)
Overview
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.
Terms: Winter 2023
Instructors: Jao, Limin; MacLean, Tessa; Buki, Constance (Winter)
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EDES 350 Classroom Practices (3 credits)
Overview
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.
Terms: Fall 2022
Instructors: Howden, James; Buki, Constance; Bianchi, Dona (Fall)
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EDES 353 Teaching Secondary Mathematics 1 (3 credits)
Overview
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).
Terms: Fall 2022, Winter 2023
Instructors: Jao, Limin (Fall) Jao, Limin (Winter)
Prerequisite(s): 18 credits in university mathematics courses at or above the 200 level.
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EDES 453 Teaching Secondary Mathematics 2 (3 credits)
Overview
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.
Terms: Winter 2023
Instructors: Jao, Limin (Winter)
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EDFE 200 First Field Experience (K/Elem and Secondary) (2 credits)
Overview
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 http://www.mcgill.ca/isa.
Terms: Fall 2022, Summer 2023
Instructors: Zein, Yasmine; Howden, James (Fall) Zein, Yasmine (Summer)
Corequisite: EDEC 201
Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students
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EDFE 254 Second Field Experience (Secondary) (3 credits)
Overview
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 www.mcgill.ca/isa.
Terms: Summer 2023
Instructors: Zein, Yasmine (Summer)
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.
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EDFE 351 Third Field Experience (Secondary) (8 credits)
Overview
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 http://www.mcgill.ca/isa.
Terms: Fall 2022
Instructors: Zein, Yasmine (Fall)
Prerequisites: EDEC 215, (EDFE 254 or EDFE 254D1/D2), (EDEC 254 or EDEC 254D1/D2), (EDES 334 or EDES 335 or EDES 353 or EDES 361).
Restriction: Students must have completed a minimum of 24 credits in their teachable subject area with grades of C or higher, as well as the corresponding first level methods course (i.e. EDES 334, 335, 353 or 361) with a grade of C or higher.
Note: Expectations for this field experience, according to your program, can be found at .
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EDFE 451 Fourth Field Experience (Secondary) (7 credits)
Overview
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 www.mcgill.ca/isa.
Terms: Fall 2022, Winter 2023
Instructors: Zein, Yasmine (Fall) Zein, Yasmine (Winter)
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EDPE 300 Educational Psychology (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023, Summer 2023
Instructors: Appignanesi, Gus (Fall) Erten, Ozlem; Frattolillo, Laura; Cousineau-PĂ©russe, Maxime; Thomson, Roberta (Winter)
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EDPE 304 Measurement and Evaluation (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023
Instructors: Jazvac-Martek, Marian (Fall) Jazvac-Martek, Marian (Winter)
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EDPI 309 Diverse Learners (3 credits)
Overview
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.
Terms: Winter 2023, Summer 2023
Instructors: Hoida, David (Winter)
Restriction: Open to B.Ed. and Concurrent students only.
Offered through Continuing Education or Summer Studies.
Prerequisite: EDPI 341
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EDPI 341 Instruction in Inclusive Schools (3 credits)
Overview
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.
Terms: Fall 2022, Summer 2023
Instructors: Appignanesi, Gus; Erten, Ozlem; Rahal, Ahlam; Thomson, Roberta (Fall)
Restriction: Open to B.Ed. students only
Also offered through Continuing Education.
Prerequisite: EDPE 300.
Complementary Courses (3 credits)
3 credits selected as described below.
Multicultural Education
3 credits from:
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EDEC 248 Equity and Education (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023
Instructors: Ghosh, Ratna; Tabi, Emmanuel (Fall) Tabi, Emmanuel (Winter)
Restriction: Not open to students who have taken or are taking EDEC 249.
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EDEC 249 Global Education and Social Justice (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023
Instructors: Nafziger, Rhoda Nanre (Fall) Nafziger, Rhoda Nanre (Winter)
Restriction: Not open to students who have taken or are taking EDEC 248.
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)
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MATH 222 Calculus 3 (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023, Summer 2023
Instructors: Paquette, Elliot; Wrobel, Konrad (Fall) Trudeau, Sidney (Winter) Barill, Gavin (Summer)
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MATH 223 Linear Algebra (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023
Instructors: Macdonald, Jeremy; Pichot, Mikael (Fall) Macdonald, Jeremy (Winter)
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MATH 228 Classical Geometry (3 credits)
Overview
Mathematics & Statistics (Sci) : This course is designed to reintroduce classical Euclidean geometry to tomorrow’s teachers. Topics include: Axioms and Euclid’s Elements, the triangle theorem, the Pythagorean Theorem and its extensions, basic constructions and similar triangles, Thales’ 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.
Terms: Fall 2022
Instructors: Cavallo, Alberto (Fall)
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MATH 315 Ordinary Differential Equations (3 credits)
Overview
Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Terms: Fall 2022, Winter 2023, Summer 2023
Instructors: Berk, Aaron (Fall) BĂ©langer-Rioux, Rosalie (Winter) Roth, Charles (Summer)
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MATH 323 Probability (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023, Summer 2023
Instructors: Nadarajah, Tharshanna; Sajjad, Alia (Fall) Asgharian, Masoud; Sajjad, Alia (Winter) Kelome, Djivede (Summer)
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MATH 324 Statistics (3 credits)
Overview
Mathematics & Statistics (Sci) : Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Terms: Fall 2022, Winter 2023
Instructors: Nadarajah, Tharshanna (Fall) Nadarajah, Tharshanna (Winter)
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.
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MATH 338 History and Philosophy of Mathematics (3 credits)
Overview
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.
Terms: Fall 2022
Instructors: Fortier, JĂ©rĂ´me (Fall)
Complementary Mathematics Courses
(30 OR 15 credits)
3 credits from:
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MATH 235 Algebra 1 (3 credits) *
Overview
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; group actions on sets.
Terms: Fall 2022
Instructors: Wise, Daniel (Fall)
Fall
3 hours lecture; 1 hour tutorial
Prerequisite: MATH 133 or equivalent
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MATH 242 Analysis 1 (3 credits) *
Overview
Mathematics & Statistics (Sci) : A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
Terms: Fall 2022
Instructors: Hundemer, Axel W (Fall)
* 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
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COMP 202 Foundations of Programming (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023, Summer 2023
Instructors: Campbell, Jonathan (Fall) M'hiri, Faten (Winter) M'hiri, Faten (Summer)
3 hours
Prerequisite: a CEGEP level mathematics course
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.
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COMP 230 Logic and Computability (3 credits)
Overview
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 Gödel's theorem.
Terms: Fall 2022
Instructors: Schlimm, Dirk (Fall)
3 hours
Prerequisite: CEGEP level mathematics.
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EDTL 520 Perspectives on Knowledge in Mathematics and Science (3 credits)
Overview
EDTL : 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.
Terms: Fall 2022
Instructors: McPherson, Heather (Fall)
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.
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MATH 235 Algebra 1 (3 credits)
Overview
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; group actions on sets.
Terms: Fall 2022
Instructors: Wise, Daniel (Fall)
Fall
3 hours lecture; 1 hour tutorial
Prerequisite: MATH 133 or equivalent
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MATH 236 Algebra 2 (3 credits)
Overview
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.
Terms: Winter 2023
Instructors: Sroka, Marcin (Winter)
Winter
Prerequisite: MATH 235
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MATH 242 Analysis 1 (3 credits)
Overview
Mathematics & Statistics (Sci) : A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
Terms: Fall 2022
Instructors: Hundemer, Axel W (Fall)
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MATH 243 Analysis 2 (3 credits)
Overview
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.
Terms: Winter 2023
Instructors: Hundemer, Axel W (Winter)
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MATH 314 Advanced Calculus (3 credits)
Overview
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.
Terms: Fall 2022, Winter 2023
Instructors: Roth, Charles (Fall) Fortier, JĂ©rĂ´me (Winter)
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MATH 316 Complex Variables (3 credits)
Overview
Mathematics & Statistics (Sci) : Algebra of complex numbers, Cauchy-Riemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications.
Terms: Fall 2022
Instructors: Pym, Brent (Fall)
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MATH 317 Numerical Analysis (3 credits)
Overview
Mathematics & Statistics (Sci) : Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
Terms: Fall 2022
Instructors: Lessard, Jean-Philippe (Fall)
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MATH 318 Mathematical Logic (3 credits) **
Overview
Mathematics & Statistics (Sci) : Propositional logic: truth-tables, formal proof systems, completeness and compactness theorems, Boolean algebras; first-order logic: formal proofs, Gödel's completeness theorem; axiomatic theories; set theory; Cantor's theorem, axiom of choice and Zorn's lemma, Peano arithmetic; Gödel's incompleteness theorem.
Terms: Fall 2022
Instructors: Sabok, Marcin (Fall)
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MATH 319 Partial Differential
Equations
(3 credits)
Overview
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.
Terms: Winter 2023
Instructors: BĂ©langer-Rioux, Rosalie (Winter)
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MATH 326 Nonlinear Dynamics and Chaos (3 credits)
Overview
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.
Terms: Fall 2022
Instructors: Nave, Jean-Christophe (Fall)
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MATH 327 Matrix Numerical Analysis (3 credits)
Overview
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.
Terms: Winter 2023
Instructors: Panayotov, Ivo (Winter)
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MATH 329 Theory of Interest (3 credits)
Overview
Mathematics & Statistics (Sci) : Simple and compound interest, annuities certain, amortization schedules, bonds, depreciation.
Terms: Winter 2023
Instructors: Kelome, Djivede (Winter)
Winter
Prerequisite: MATH 141
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MATH 340 Discrete
Mathematics (3 credits)
Overview
Mathematics & Statistics (Sci) : Discrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
Terms: Winter 2023
Instructors: Norin, Sergey (Winter)
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MATH 346 Number Theory (3 credits)
Overview
Mathematics & Statistics (Sci) : Divisibility. Congruences. Quadratic reciprocity. Diophantine equations. Arithmetical functions.
Terms: Winter 2023
Instructors: Love, Jonathan (Winter)
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MATH 348 Euclidean Geometry (3 credits)
Overview
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’s theorem. Isometries. Homothety. Inversion.
Terms: Fall 2022
Instructors: Przytycki, Piotr (Fall)
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MATH 417 Linear Optimization (3 credits)
Overview
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.
Terms: Fall 2022
Instructors: Paquette, Courtney (Fall)
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MATH 423 Applied Regression (3 credits)
Overview
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.
Terms: Fall 2022
Instructors: Nadarajah, Tharshanna (Fall)
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MATH 447 Introduction to Stochastic Processes (3 credits)
Overview
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.
Terms: Winter 2023
Instructors: Addario-Berry, Louigi Dana (Winter)
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MATH 523 Generalized Linear Models (4 credits)
Overview
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.
Terms: Winter 2023
Instructors: Chatelain, Simon (Winter)
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MATH 524 Nonparametric Statistics (4 credits)
Overview
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.
Terms: Fall 2022
Instructors: Neslehova, Johanna (Fall)
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MATH 525 Sampling Theory and Applications (4 credits)
Overview
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.
Terms: Winter 2023
Instructors: Yang, Archer Yi (Winter)
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PHIL 210 Introduction to Deductive Logic 1 (3 credits) **
Overview
Philosophy : An introduction to propositional and predicate logic; formalization of arguments, truth tables, systems of deduction, elementary metaresults, and related topics.
Terms: Fall 2022, Summer 2023
Instructors: Therrien, Valérie Lynn (Fall) Xu, Ruigang (Summer)
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.
Faculty of Education—2022-2023 (last updated Aug. 24, 2022) (disclaimer)
