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Secondary Mathematics (120 credits)

Offered by: Integrated Studies in Ed     Degree: Bachelor of Education

Program Requirements

Revision, June 2013. Start of revision.

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 http://www.mcgill.ca/dise/progs/secmath.

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 for Quebec certification to the Quebec Ministère de l'Éducation, du Loisir et du Sport (MELS). 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.

  • CEAP 250 Research Essay & Rhetoric (3 credits)

    Offered by: McGill Writing Centre (School of Continuing Studies)

    Administered by: Centre for Continuing Education

    Overview

    CEAP : Principles and use of academic research and genres, rhetorical strategies, and general editing skills.

    Terms: Fall 2013, Winter 2014, Summer 2014

    Instructors: Sarah Wolfson, Robert J Myles, Noreen Jane Bider, Julian Menezes, Mahmood K Moghaddam (Fall) Sarah Wolfson, Noreen Jane Bider, Julian Menezes, Emilia Marinova Popova (Winter) Noreen Jane Bider, Susan Patricia Laver (Summer)

    • 3 hours
    • Formerly EAPR 250.
    • Restriction: Not open to students who have taken CESL 500 or ESLN 500 or EAPR 250 or EFRL 250.
    • Intended for native speakers of English.
    • Open only to students in degree programs - all years and faculties.
    • Entrance test: Short essay first day of classes.
  • EDEM 220 Contemporary Issues in Education (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2013

    Instructors: Lisa Trimble (Fall)

  • FRSL 101 Beginners French 1 (3 credits)

    Offered by: French Language Centre (Faculty of Arts)

    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 2013

    Instructors: Christine Petcoff, Suzanne Pellerin, Jean-Francois Groulx, Sarah Anthony (Fall)

    • 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.
  • FRSL 102 Beginners French 2 (3 credits)

    Offered by: French Language Centre (Faculty of Arts)

    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 2014

    Instructors: Sarah Anthony, Suzanne Pellerin, Viviane Kwan-Lock (Winter)

    • Language laboratory and oral practice with a French monitor if available.
    • Prerequisite: FRSL 101
  • FRSL 207D1 Elementary French 01 (3 credits)

    Offered by: French Language Centre (Faculty of Arts)

    Overview

    French as a Second Language : Review and further training in basic structures, with emphasis on oral expression and listening comprehension. Awareness of French culture developed through audio-visual material and selected readings.

    Terms: Fall 2013

    Instructors: Elsa Michaël, Prisca Fenoglio, Natallia Liakina, Chantal Creck, Christine Petcoff (Fall)

    • 3 hours, plus language laboratory
    • Prerequisite: Placement test
    • 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
  • FRSL 207D2 Elementary French 01 (3 credits)

    Offered by: French Language Centre (Faculty of Arts)

    Overview

    French as a Second Language : See FRSL 207D1 for course description.

    Terms: Winter 2014

    Instructors: Elsa Michaël, Prisca Fenoglio, Natallia Liakina, Chantal Creck, Christine Petcoff (Winter)

    • Prerequisite: FRSL 207D1
    • 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
  • FRSL 211D1 Oral and Written French 1 (3 credits)

    Offered by: French Language Centre (Faculty of Arts)

    Overview

    French as a Second Language : Language lab attendance required. Grammar review, comprehension, vocabulary development, selected readings and group discussions.

    Terms: Fall 2013

    Instructors: Roch Deslauriers, Loretta Hyrat, Marie-Claude Labbe, Chantal Creck (Fall)

    • 3 hours, plus language laboratory
    • Prerequisite: Placement test. Open to students in any degree program having an elementary knowledge of French and to those who have completed FRSL 207
    • 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
  • FRSL 211D2 Oral and Written French 1 (3 credits)

    Offered by: French Language Centre (Faculty of Arts)

    Overview

    French as a Second Language : See FRSL 211D1 for course description.

    Terms: Winter 2014

    Instructors: Loretta Hyrat, Roch Deslauriers, Chantal Creck, Sandra Miller Sanchez, Marie-Hélène Tétreault (Winter)

    • Prerequisite: FRSL 211D1
    • 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
  • MATH 133 Linear Algebra and Geometry (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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; quadratic loci in two and three dimensions.

    Terms: Fall 2013, Winter 2014, Summer 2014

    Instructors: Miljan Brakocevic, Djivede Kelome, Michael Bailey, William J Anderson (Fall) Jessica Banks, Sidney Trudeau (Winter)

    • 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, MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
    • Restriction C: Not open to students who are taking or have taken MATH 134.
  • MATH 140 Calculus 1 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.

    Terms: Fall 2013, Winter 2014, Summer 2014

    Instructors: Axel W Hundemer, Daniel Disegni (Fall) Stephen W Drury (Winter)

    • 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 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics
    • Each Tutorial section is enrolment limited
  • MATH 141 Calculus 2 (4 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : The definite integral. Techniques of integration. Applications. Introduction to sequences and series.

    Terms: Fall 2013, Winter 2014, Summer 2014

    Instructors: Ihsan Topaloglu (Fall) Axel W Hundemer, Ronan Conlon, Michael Brandenbursky (Winter) Michael Brandenbursky (Summer)

    • Prerequisites: MATH 139 or MATH 140 or MATH 150.
    • Restriction: Not open to students who have taken MATH 121 or CEGEP objective 00UP or equivalent
    • Restriction Note B: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
    • Each Tutorial section is enrolment limited
  • RELG 204 Judaism, Christianity and Islam (3 credits)

    Offered by: Religious Studies (Faculty of Arts)

    Overview

    Religious Studies : An introduction to the beliefs, practices, and religious institutions of these three world religions.

    Terms: Winter 2014

    Instructors: Meredith Joan Warren, Charles Douglas Fletcher, Patricia Kirkpatrick (Winter)

    • Winter
  • RELG 207 The Study of World Religions 1 (3 credits)

    Offered by: Religious Studies (Faculty of Arts)

    Overview

    Religious Studies : An introduction to the study of Hinduism, Buddhism, Confucianism, Taoism, Judaism, Christianity, Islam and Primal Religions.

    Terms: Winter 2014

    Instructors: Arvind Sharma (Winter)

    • Winter

Required Courses (54 credits)

  • EDEC 201 First Year Professional Seminar (1 credit)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2013, Summer 2014

    Instructors: Helen Amoriggi, Fiona J Benson, Enzo Di Ioia, Ginette Clarke, Mindy Carter (Fall) Mindy Carter, Philippa Parks (Summer)

    • Corequisite: EDFE 200
    • Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students only
  • EDEC 215 English Exam for Teacher Certification

    Offered by: Integrated Studies in Ed (Faculty of Education)

    Overview

    Curriculum and Instruction : This English Exam for Teacher Certification is a MELS requirement for teaching in the Quebec English school system. 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 are permitted four attempts to pass. Students who do not pass after four attempts must withdraw from the teacher preparation program.

    Terms: Fall 2013, Summer 2014

    Instructors: Mariusz Galczynski (Fall) Mariusz Galczynski (Summer)

  • EDEC 247 Policy Issues in Quebec Education (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    Overview

    Curriculum and Instruction : This course examines the organization of education in Quebec from various perspectives, including historical, political, social and legal. It aims to provide students with sufficient knowledge that they can begin the life-long learning process of a professional educator, aware of, and contributing to, the policy talk on school.

    Terms: Fall 2013, Summer 2014

    Instructors: Tino Bordonaro (Fall) Noel C Burke (Summer)

    • Restriction: Not open to students who have taken EDEM 405.
  • EDEC 254 Second Professional Seminar (Secondary) (1 credit)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2014

    Instructors: Ginette Clarke (Summer)

    • Corequisite: EDFE 254 or EDFE 254D1
    • Restrictions: Open to B.Ed. Sec and concurrent B.Sc. and B.Ed. students.
  • EDEC 262 Media, Technology and Education (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2013, Winter 2014

    Instructors: Thomas James Fullerton, George Milton (Fall) Lisa Trimble, Mindy Carter, Thomas James Fullerton, George Milton (Winter)

    • Restriction: Not open to students who have taken EDEC 402. Students who have taken or are taking EDPT 200 or EDPT 204 cannot take this couse for credit.
  • EDEC 351 Third Professional Seminar (Secondary) (2 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2013

    Instructors: Judy Kenworthy-Grant, Ginette Clarke, Naved Bakali (Fall)

    • Prerequisite: EDEC 254 or EDEC 254D1/D2
    • Corequisites: EDFE 351 and EDES 350
    • Restriction: Open to B.Ed. Secondary, B.Sc. and B.Ed. concurrent students only. Not open to students who have taken EDEC 306.
  • EDEC 404 Fourth Year Professional Seminar (Sec) (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2014

    Instructors: Jose Manuel Canella, Ginette Clarke, Diane Rinaldis (Winter)

    • Prerequisites: EDEC 306 or EDEC 351, EDFE 351
    • Corequisite: EDFE 451
    • Restriction: Open to B.Ed. Secondary students only
  • EDES 350 Classroom Practices (Secondary) (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2013

    Instructors: James Howden, Jason Lister, William Keith Wilcox, Megan Webster (Fall)

    • Corequisites: EDEC 351 and EDFE 351
  • EDES 353 Teaching Secondary Mathematics 1 (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2013

    Instructors: Terry Wan Jung Lin (Fall)

    • Prerequisites: 12 credits in university mathematics courses at or above the 200 level. Three of these credits may be taken concurrently.
  • EDES 453 Teaching Secondary Mathematics 2 (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2014

    Instructors: Terry Wan Jung Lin (Winter)

    • Prerequisite: EDES 353
    • Restriction: Not open to students who have taken EDEC 338
  • EDFE 200 First Field Experience (K/Elem & Secondary) (2 credits)

    Offered by: Education - Dean's Office (Faculty of Education)

    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 Office of Student Teaching website http://www.mcgill.ca/ost.

    Terms: Fall 2013, Summer 2014

    Instructors: Fiona J Benson (Fall) Fiona J Benson (Summer)

    • Corequisite: EDEC 201
    • Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students
  • EDFE 254 Second Field Experience (Secondary) (3 credits)

    Offered by: Education - Dean's Office (Faculty of Education)

    Overview

    Student Teaching : Supervised student teaching. Students are expected to apprise themselves of Field Experience, dates, duration and responsibilities as outlined on the Office of Student Teaching website http://www.mcgill.ca/ost.

    Terms: Summer 2014

    Instructors: Fiona J Benson (Summer)

    • 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 www.mcgill.ca/ost.
  • EDFE 351 Third Field Experience (Secondary) (8 credits)

    Offered by: Education - Dean's Office (Faculty of Education)

    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 Office of Student Teaching website http://www.mcgill.ca/ost.

    Terms: Fall 2013

    Instructors: Fiona J Benson (Fall)

    • Prerequisites: (EDFE 254 or EDFE 254D1/D2), (EDEC 254 or EDEC 254D1/D2), EDEC 215.
    • Corequisites: EDEC 351, EDES 350.
    • Restriction: Students must have completed, with a grade of C or higher, a minimum of 24 credits in a teachable subject and have taken the corresponding Methods courses as a co-requisite.
    • Note: Expectations for this field experience, according to your program, can be found at www.mcgill.ca/ost.
  • EDFE 451 Fourth Field Experience (Secondary) (7 credits)

    Offered by: Education - Dean's Office (Faculty of Education)

    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 Office of Student Teaching website http://www.mcgill.ca/ost.

    Terms: Fall 2013, Winter 2014

    Instructors: Fiona J Benson (Fall) Fiona J Benson (Winter)

    • 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 www.mcgill.ca/ost.
  • EDPE 300 Educational Psychology (3 credits)

    Offered by: Educational&Counselling Psych (Faculty of Education)

    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 2013, Winter 2014, Summer 2014

    Instructors: Camelia Birlean, Scott Conrod, Gus Appignanesi (Fall) Gus Appignanesi (Winter) Gus Appignanesi (Summer)

  • EDPE 304 Measurement and Evaluation (3 credits)

    Offered by: Educational&Counselling Psych (Faculty of Education)

    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 2013, Winter 2014

    Instructors: Gus Appignanesi (Fall) Scott Conrod, Marian Jazvac Martek (Winter)

  • EDPI 309 Diverse Learners (3 credits)

    Offered by: Educational&Counselling Psych (Faculty of Education)

    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: Fall 2013, Winter 2014, Summer 2014

    Instructors: Roberta Thomson (Fall) Scott Conrod, Robert Savage (Winter) Tara Flanagan (Summer)

    • Restriction: Open to B.Ed. and Concurrent students only.
    • Offered through Continuing Education or Summer Studies.
    • Prerequisite: EDPI 341
  • EDPI 341 Instruction in Inclusive Schools (3 credits)

    Offered by: Educational&Counselling Psych (Faculty of Education)

    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 2013

    Instructors: Roberta Thomson, Scott Conrod, Gus Appignanesi, Casey Finn Lefsrud (Fall)

    • Restriction: Open to B.Ed. students only
    • Also offered through Continuing Education.
    • Prerequisite: EDPE 300.

Complementary Courses (6 credits)

6 credits selected as described below.

Multicultural Education

3 credits from:

  • EDEC 233 First Nations and Inuit Education (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    Overview

    Curriculum and Instruction : Study of First Nations and Inuit schools as diverse social, cultural, linguistic, political and pedagogical settings. Considers school and community minority-majority interactions and their influence on teaching and learning in educational settings. Examines how a teacher's personal practice can be influenced by an understanding of these factors.

    Terms: Fall 2013

    Instructors: Elma Doris Moses (Fall)

    • Restriction: Not open to students who have taken, or are taking, EDEC 248 or EDEC 249
  • EDEC 248 Multicultural Education (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    Overview

    Curriculum and Instruction : Introduction to theories about intercultural and multicultural education in Quebec and Canadian schools.

    Terms: Fall 2013, Winter 2014

    Instructors: Bronwen Low, Shaheen Shariff, Lisa Trimble (Fall) Donna Lee Smith (Winter)

    • Restriction: Students who have taken or are taking EDEC 249 or EDEC 233 cannot take this course for credit.
  • EDEC 249 Global Education and Social Justice (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2013

    Instructors: Abdul Aziz Choudry (Fall)

    • Restriction: Not open to students who have taken, or are taking, EDEC 233 or EDEC 248

Philosophy of Education

3 credits from:

  • EDEC 260 Philosophical Foundations (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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 2013, Winter 2014

    Instructors: Ronald Morris, Boyd Eric White (Fall) Kevin Michael McDonough (Winter)

    • 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.
  • EDEC 261 Philosophy of Catholic Education (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    Overview

    Curriculum and Instruction : An exploration of the philosophy of Catholic education, and its relevance in the world today.

    Terms: Fall 2013

    Instructors: Spencer Boudreau (Fall)

    • Restrictions: Not open to students who have taken EDER 398. Students who have taken or are taking EDEC 260 cannot take this course for credit.

Secondary Mathematics Subject Area (54 credits)

Secondary Mathematics students complete 54 credits selected in consultation with the Program Adviser in one of two options.
Option 1
27 credits from the list of "Required Mathematics Courses" and
27 credits from the list of "Complementary Mathematics Courses"

Or

Option 2:
27 credits from the list of "Required Mathematics Courses" and
9 credits from the list of "Complementary Mathematics Courses"
And
18 credits of designated courses in another "teachable" subject area (English, Social Sciences, or Science and Technology - see an adviser for courses).

Required Mathematics Courses (27 credits)

  • MATH 222 Calculus 3 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2013, Winter 2014, Summer 2014

    Instructors: Nathan Grieve, Payman L Kassaei (Fall) Dmitry Jakobson (Winter) Sidney Trudeau (Summer)

    • Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
    • Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
  • MATH 223 Linear Algebra (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2013, Winter 2014

    Instructors: William Cavendish (Fall) William Cavendish (Winter)

    • Fall and Winter
    • Prerequisite: MATH 133 or equivalent
    • Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs
  • MATH 235 Algebra 1 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2013

    Instructors: Henri Darmon (Fall)

    • Fall
    • 3 hours lecture; 1 hour tutorial
    • Prerequisite: MATH 133 or equivalent
  • MATH 242 Analysis 1 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2013

    Instructors: Ivo Klemes, Stephen W Drury (Fall)

    • Fall
    • Prerequisite: MATH 141
  • MATH 315 Ordinary Differential Equations (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.

    Terms: Fall 2013, Winter 2014, Summer 2014

    Instructors: Charles Roth (Fall) Gantumur Tsogtgerel (Winter)

    • Prerequisite: MATH 222.
    • Corequisite: MATH 133.
    • Restriction: Not open to students who have taken or are taking MATH 325.
  • MATH 323 Probability (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2013, Winter 2014, Summer 2014

    Instructors: Masoud Asgharian-Dastenaei (Fall) William J Anderson (Winter) Djivede Kelome (Summer)

    • 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
  • MATH 324 Statistics (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.

    Terms: Fall 2013, Winter 2014

    Instructors: William J Anderson (Fall) Masoud Asgharian-Dastenaei (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.
  • MATH 338 History and Philosophy of Mathematics (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 in some detail.

    Terms: Fall 2013

    Instructors: Thomas F Fox (Fall)

    • Fall
  • MATH 348 Topics in Geometry (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Selected topics - the particular selection may vary from year to year. Topics include: isometries in the plane, symmetry groups of frieze and ornamental patterns, equidecomposibility, non-Euclidean geometry and problems in discrete geometry.

    Terms: Summer 2014

    Instructors: There are no professors associated with this course for the 2013-2014 academic year.

    • Prerequisite: MATH 133 or equivalent or permission of instructor.

Complementary Mathematics Courses (27 credits)

27 credits from the list below for Secondary Mathematics Option 1 students or
9 credits from the list below for Secondary Mathematics Option 2 students

  • COMP 202 Foundations of Programming (3 credits)

    Offered by: Computer Science (Faculty of Science)

    Overview

    Computer Science (Sci) : Introduction to programming in a modern high-level language, modular software design and debugging. Programming concepts are illustrated using a variety of application areas.

    Terms: Fall 2013, Winter 2014, Summer 2014

    Instructors: Daniel Pomerantz, Jonathan Tremblay (Fall) Bettina Kemme, Jonathan Tremblay (Winter)

    • 3 hours
    • Prerequisite: a CEGEP level mathematics course
    • Restrictions: COMP 202 and COMP 208 cannot both be taken for credit. COMP 202 is intended as a general introductory course, while COMP 208 is intended for students interested in scientific computation. COMP 202 cannot be taken for credit with or after COMP 250
  • COMP 230 Logic and Computability (3 credits)

    Offered by: Computer Science (Faculty of Science)

    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 2013

    Instructors: Dirk Schlimm (Fall)

    • 3 hours
    • Prerequisite: CEGEP level mathematics.
  • EDTL 520 Perspectives on Knowledge in Mathematics and Science (3 credits)

    Offered by: Integrated Studies in Ed (Faculty of Education)

    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: Winter 2014

    Instructors: There are no professors associated with this course for the 2013-2014 academic year.

    • 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.
  • MATH 236 Algebra 2 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2014

    Instructors: Miljan Brakocevic (Winter)

    • Winter
    • Prerequisite: MATH 235
  • MATH 243 Analysis 2 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Infinite series; series of functions; power series. The Riemann integral in one variable. A rigorous development of the elementary functions.

    Terms: Winter 2014

    Instructors: Annalisa Panati (Winter)

    • Winter
    • Prerequisite: MATH 242
  • MATH 314 Advanced Calculus (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2013, Winter 2014, Summer 2014

    Instructors: Ivo Klemes (Fall) Sidney Trudeau (Winter)

    • Prerequisites: MATH 133, MATH 222
    • Restriction: Not open to students who have taken or are taking MATH 248
  • MATH 316 Complex Variables (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2013

    Instructors: John A Toth (Fall)

    • Fall
    • Prerequisites: MATH 314 and MATH 243
    • Restriction: Not open to students who have taken or are taking MATH 249, MATH 366, MATH 381 or MATH 466.
  • MATH 317 Numerical Analysis (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2013

    Instructors: Peter Bartello (Fall)

    • Fall
    • Prerequisites: MATH 315 or MATH 325 or MATH 263, and COMP 202 or permission of instructor.
  • MATH 318 Mathematical Logic (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Propositional calculus, truth-tables, switching circuits, natural deduction, first order predicate calculus, axiomatic theories, set theory.

    Terms: This course is not scheduled for the 2013-2014 academic year.

    Instructors: There are no professors associated with this course for the 2013-2014 academic year.

    • Fall
    • Restriction: Not open to students who are taking or have taken PHIL 210
  • MATH 319 Introduction to Partial Differential Equations (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2014

    Instructors: Peter Bartello (Winter)

    • Winter
    • Prerequisites: MATH 223 or MATH 236, MATH 314, MATH 315
  • MATH 326 Nonlinear Dynamics and Chaos (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2013

    Instructors: Jean-Christophe Nave (Fall)

    • Fall
    • Prerequisites: MATH 222, MATH 223
    • Restriction: Not open to students who have taken or are taking MATH 376
  • MATH 327 Matrix Numerical Analysis (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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: This course is not scheduled for the 2013-2014 academic year.

    Instructors: There are no professors associated with this course for the 2013-2014 academic year.

    • Winter
    • Prerequisites: MATH 223 or MATH 236 or MATH 247 or MATH 251, COMP 202 or consent of instructor.
  • MATH 329 Theory of Interest (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Simple and compound interest, annuities certain, amortization schedules, bonds, depreciation.

    Terms: Winter 2014

    Instructors: Neville G F Sancho (Winter)

    • Winter
    • Prerequisite: MATH 141
  • MATH 340 Discrete Structures 2 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Review of mathematical writing, proof techniques, graph theory and counting. Mathematical logic. Graph connectivity, planar graphs and colouring. Probability and graphs. Introductory group theory, isomorphisms and automorphisms of graphs. Enumeration and listing.

    Terms: Winter 2014

    Instructors: Adrian Roshan Vetta (Winter)

    • Winter
    • Prerequisites: MATH 235 or MATH 240 or MATH 242.
    • Corequisites: MATH 223 or MATH 236.
    • Restriction: Not open to students who have taken or are taking MATH 343 or MATH 350.
  • MATH 346 Number Theory (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Divisibility. Congruences. Quadratic reciprocity. Diophantine equations. Arithmetical functions.

    Terms: This course is not scheduled for the 2013-2014 academic year.

    Instructors: There are no professors associated with this course for the 2013-2014 academic year.

    • Winter
    • Prerequisite: MATH 235 or consent of instructor
    • Restriction: Not open to students who have taken or are taking MATH 377.
  • MATH 417 Mathematical Programming (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : An introductory course in optimization by linear algebra, and calculus methods. Linear programming (convex polyhedra, simplex method, duality, multi-criteria problems), integer programming, and some topics in nonlinear programming (convex functions, optimality conditions, numerical methods). Representative applications to various disciplines.

    Terms: This course is not scheduled for the 2013-2014 academic year.

    Instructors: There are no professors associated with this course for the 2013-2014 academic year.

    • Prerequisites: COMP 202, and MATH 223 or MATH 236, and MATH 314 or equivalent
    • Restriction: Not open to students who have taken or are taking MATH 487.
  • MATH 423 Regression and Analysis of Variance (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Least-squares estimators and their properties. Analysis of variance. Linear models with general covariance. Multivariate normal and chi-squared distributions; quadratic forms. General linear hypothesis: F-test and t-test. Prediction and confidence intervals. Transformations and residual plot. Balanced designs.

    Terms: Fall 2013

    Instructors: Abbas Khalili Mahmoudabadi (Fall)

    • Fall
    • Prerequisites: MATH 324, and MATH 223 or MATH 236
    • Restriction: Not open to students who have taken or are taking MATH 533.
  • MATH 447 Introduction to Stochastic Processes (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2014

    Instructors: William J Anderson (Winter)

    • 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 by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Modern discrete data analysis. Exponential families, orthogonality, link functions. Inference and model selection using analysis of deviance. Shrinkage (Bayesian, frequentist viewpoints). Smoothing. Residuals. Quasi-likelihood. Sliced inverse regression. Contingency tables: logistic regression, log-linear models. Censored data. Applications to current problems in medicine, biological and physical sciences. GLIM, S, software.

    Terms: Winter 2014

    Instructors: Johanna Neslehova (Winter)

    • Winter
    • Prerequisite: MATH 423
    • Restriction: Not open to students who have taken MATH 426
  • MATH 524 Nonparametric Statistics (4 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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: This course is not scheduled for the 2013-2014 academic year.

    Instructors: There are no professors associated with this course for the 2013-2014 academic year.

    • Fall
    • Prerequisite: MATH 324 or equivalent
    • Restriction: Not open to students who have taken MATH 424
  • MATH 525 Sampling Theory and Applications (4 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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: Fall 2013

    Instructors: Russell Steele (Fall)

    • Prerequisite: MATH 324 or equivalent
    • Restriction: Not open to students who have taken MATH 425

"Teachable" Subject Area

0-18 credits

18 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 18 credits in another will use 3 credits of electives to take the Secondary Teaching Methods course needed for their second teachable subject.

Revision, June 2013. End of revision.
Faculty of Education—2013-2014 (last updated Aug. 21, 2013) (disclaimer)