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Major Mathematics for Teachers (135 credits)

Offered by: Science     Degree: Bachelor of Education

Program Requirements

Note: New students are no longer being admitted to this program.

The Concurrent Bachelor of Science (B.Sc.) and Bachelor of Education (B.Ed.) - Major Mathematics for Teachers is jointly offered by the Faculty of Science and the Faculty of Education. Separately, the Bachelor of Science degree requires 90 credits (or 120 credits for students who have not completed the basic sciences) and the Bachelor of Education degree requires 120 credits. In the concurrent program, the requirements for the two degrees are combined in such a way that students complete 135 (or 165 credits) to fulfil all the requirements for graduation for both the B.Sc. and the B.Ed.

Graduates of the B.Ed. degree are recommended by the University to the Quebec Ministère de l'Éducation, du Loisir et du Sport (MELS) 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".

The Major Mathematics is one of the nine variations of the program and allows students to focus their Science degree in Mathematics.

To fulfil the requirements for graduation for the Concurrent Bachelor of Science and Bachelor of Education, the 135 credits (or 165 credits for students admitted without basic sciences) include the following:

(30 credits of Science Freshman Program (for students admitted without basic sciences))
60 credits of Education Component
54 credits of Science Component consisting of:
- 54 credits of the Major Mathematics
21 credits of Electives, of which at least 18 credits must be Science Electives, depending on how many credits count toward both the B.Sc. and the B.Ed. degrees.

For details on the counting of credits toward both degrees (double-counting) visit the program website http://www.mcgill.ca/scienceforteachers/.

B.Sc. Freshman Program

Students who enter Science in U0 will normally be registered in the Science Freshman Program until they complete their first year. They must consult an adviser in the Science Office for Undergraduate Student Advising (SOUSA) to obtain advice and approval of their course selection. Full details are available on the SOUSA website at http://www.mcgill.ca/science/sousa. Academic advising is also available by email. The address is newstudentadvising [dot] science [at] mcgill [dot] ca.

Students normally complete 30 credits which must include at least seven courses from the list of Approved Freshman Science Courses, selected as follows:

General Math and Science Breadth

Six of the Freshman courses must satisfy one of the following:

Option 1) 2 courses from MATH and 4 courses from BIOL, CHEM or PHYS;
or
Option 2) 3 courses from MATH and 3 courses from BIOL, CHEM or PHYS.

Science Complementary

The seventh course is chosen from the list of Approved Freshman Science Courses.

Notes:
1. Students who have not studied all of Biology, Chemistry, and Physics at the grade 12 level or equivalent are strongly advised to include at least one course in the missing discipline in their Freshman Program.

2. Many students will complete more than seven courses from the Approved Freshman Science Courses list, particularly those who wish to leave several options open for their choice of major.

3. Students entering the Freshman Program must be aware of the department specific requirements when selecting their courses. Detailed advising information is available at http://www.mcgill.ca/science/sousa/new_students/u0/bsc_freshman/specific/.

4. The maximum number of courses per term, required, complementary, and elective, is five.

List of Approved Freshman Science Courses

Select the approved courses according to the instructions above.

Note:
* CHEM 115 (not open to students who are taking or have taken CHEM 110 or CHEM 120)
* CHEM 120 (not open to students who have taken CHEM 115)

  • BIOL 111 Principles: Organismal Biology (3 credits)

    Offered by: Biology (Faculty of Science)

    Overview

    Biology (Sci) : An introduction to the phylogeny, structure, function and adaptation of unicellular organisms, plants and animals in the biosphere.

    Terms: Fall 2013

    Instructors: Rudiger Krahe, Rajinder S Dhindsa, Andrew Hendry (Fall)

    • Fall
    • 2 hours lecture and 3 hours laboratory
    • Restriction: Not open to students who have taken CEGEP objective 00UK or equivalent; or BIOL 115.
    • This course serves as an alternative to CEGEP objective code 00UK
    • May require departmental approval.
    • Open to all students wishing introductory biology.
    • Attendance at first lab is mandatory to confirm registration in the course.
    • This class will use a Student Response System (clicker) which can be obtained from the Bookstore.
  • BIOL 112 Cell and Molecular Biology (3 credits)

    Offered by: Biology (Faculty of Science)

    Overview

    Biology (Sci) : The cell: ultrastructure, division, chemical constituents and reactions. Bioenergetics: photosynthesis and respiration. Principles of genetics, the molecular basis of inheritance and biotechnology.

    Terms: Winter 2014

    Instructors: Joseph Alan Dent, Frieder Schöck (Winter)

    • Winter
    • 2 hours lecture and 3.5 hours laboratory/seminar
    • Restriction: Not open to students who have taken or are taking CEGEP objective 00XU or equivalent; or BIOL 115; or AEBI 122
    • Attendance at first lab is mandatory to confirm registration in the course.
  • CHEM 110 General Chemistry 1 (4 credits)

    Offered by: Chemistry (Faculty of Science)

    Overview

    Chemistry : A study of the fundamental principles of atomic structure, radiation and nuclear chemistry, valence theory, coordination chemistry, and the periodic table.

    Terms: Fall 2013

    Instructors: Jean-Marc Gauthier, Ashok K Kakkar, Ian Sydney Butler, Ariel Fenster (Fall)

    • Fall
    • Prerequisites/corequisites: College level mathematics and physics or permission of instructor; CHEM 120 is not a prerequisite
    • Each lab section is limited enrolment
  • CHEM 115 Accelerated General Chemistry: Giants in Science (4 credits) *

    Offered by: Chemistry (Faculty of Science)

    Overview

    Chemistry : An advanced combined version of CHEM 110 and CHEM 120 that will emphasize developments in the chemical sciences that changed the way nature was understood, focusing, where possible, on examples that led to Nobel Prizes.

    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: Grade 12 Chemistry
    • Corequisites: PHYS 131 and MATH 140 or MATH 150
    • Restrictions: Enrolment is restricted to students who have obtained a grade greater than 95% in their high school university preparatory chemistry course (e.g., the Ontario Grade 12 University Preparation Chemistry Course [SCH4U]). Not open to students who are taking or have taken CHEM 110 or CHEM 120.
    • Note: CHEM 115 and (CHEM 110 plus CHEM 120) are considered equivalent from a prerequisite point of view. If you are planning on applying to medical school, note that some medical schools require applicants to have two general chemistry courses; at McGill you would have to take an additional physical chemistry course like CHEM 204 or equivalent to meet this requirement.
  • CHEM 120 General Chemistry 2 (4 credits) *

    Offered by: Chemistry (Faculty of Science)

    Overview

    Chemistry : A study of the fundamental principles of physical chemistry.

    Terms: Winter 2014

    Instructors: Jean-Marc Gauthier, Mitchell Huot, Laura Pavelka, Ian Sydney Butler, Bradley Siwick (Winter)

    • Winter
    • Prerequisites/corequisites: College level mathematics and physics, or permission of instructor: CHEM 110 is not a prerequisite
    • Each lab section is limited enrolment
  • 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
  • ESYS 104 The Earth System (3 credits)

    Offered by: Earth & Planetary Sciences (Faculty of Science)

    Overview

    Earth System Science : Earth system science examines the complex interactions among the atmosphere, biosphere, geosphere and hydrosphere. It focuses on physical, chemical, and biological processes that extend over spatial scales ranging from microns to the size of planetary orbits, and spans time scales from fractions of a second to billions of years.

    Terms: Winter 2014

    Instructors: William Minarik, Michel F Lapointe (Winter)

    • Winter
    • 3 hours lecture
    • Restriction: Not open to students who are taking or have taken ATOC 104 or GEOG 104 or EPSC 104.
  • 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.
  • PSYC 100 Introduction to Psychology (3 credits)

    Offered by: Psychology (Faculty of Science)

    Overview

    Psychology : Introduction to the scientific study of mind and behavior, including basic concepts and methods in psychology while also highlighting the relevance of psychology to everyday life; attachment, aggression, depression, parenting and personality change.

    Terms: Fall 2013, Summer 2014

    Instructors: Daniel Levitin (Fall) Jens Pruessner (Summer)

    • Fall
    • 2 lectures; 1 conference
    • Restriction: Not open to students who have passed an Introductory Psychology course in CEGEP: 350-101 or 350-102 or equivalent

First calculus course, one of:

  • MATH 139 Calculus 1 with Precalculus (4 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

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

    Terms: Fall 2013

    Instructors: Linan Chen (Fall)

    • Fall
    • 4 hours lecture, 1 hour tutorial
    • Prerequisite: a course in functions
    • Restriction: Not open to students who have taken CEGEP objective 00UN or equivalent.
    • Restriction Note B: Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics.
    • Students continue in MATH 141
    • Each Tutorial section is enrolment limited
  • 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 150 Calculus A (4 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Functions, limits and continuity, differentiation, L'Hospital's rule, applications, Taylor polynomials, parametric curves, functions of several variables.

    Terms: Fall 2013

    Instructors: Charles Roth (Fall)

    • Fall
    • 3 hours lecture, 2 hours tutorial
    • Students with no prior exposure to vector geometry are advised to take MATH 133 concurrently. Intended for students with high school calculus who have not received six advanced placement credits
    • Restriction: Not open to students who have taken CEGEP objective 00UN 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
    • MATH 150 and MATH 151 cover the material of MATH 139, MATH 140, MATH 141, MATH 222

Second calculus course, one of:

  • 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
  • MATH 151 Calculus B (4 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Integration, methods and applications, infinite sequences and series, power series, arc length and curvature, multiple integration.

    Terms: Winter 2014

    Instructors: Charles Roth (Winter)

    • Winter
    • 3 hours lecture; 2 hours tutorial
    • Each Tutorial section is enrolment limited
    • Prerequisite: MATH 150
    • Restriction: Not open to students who have taken CEGEP objective 00UP 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
    • Restriction: Not open to students who have taken MATH 152

First physics course, one of:

  • PHYS 101 Introductory Physics - Mechanics (4 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : An introductory course in physics without calculus, covering mechanics (kinematics, dynamics, energy, and rotational motion), oscillations and waves, sound, light, and geometrical optics.

    Terms: Fall 2013

    Instructors: Kenneth J Ragan (Fall)

    • Fall
    • 3 hours lectures; 2 hours laboratory; tutorial sessions
    • Restriction: Not open to students taking or having taken PHYS 131, CEGEP objective 00UR or equivalent
    • Laboratory sections have limited enrolment
  • PHYS 131 Mechanics and Waves (4 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : The basic laws and principles of Newtonian mechanics; oscillations and waves.

    Terms: Fall 2013

    Instructors: Kenneth J Ragan (Fall)

    • Fall
    • 3 hours lectures; 1 hour tutorial, 3 hours laboratory in alternate weeks; tutorial sessions
    • Corequisite: MATH 139 or higher level calculus course.
    • Restriction: Not open to students taking or having taken PHYS 101, CEGEP objective 00UR or equivalent
    • Laboratory sections have limited enrolment

Second physics course, one of:

  • PHYS 102 Introductory Physics - Electromagnetism (4 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : Electric field and potential. D.C. circuits and measurements. Capacitance. Magnetic field and induction. A.C. circuits Semiconductor devices and their application. Electromagnetic waves.

    Terms: Winter 2014

    Instructors: Nick Provatas (Winter)

    • Winter
    • 3 hours lectures; 2 hours laboratory; tutorial sessions
    • Prerequisite: PHYS 101.
    • Corequisite: MATH 139 or higher level calculus course.
    • Restriction: Not open to students taking or having taken PHYS 142, CEGEP objective 00UR or equivalent
    • Laboratory sections have limited enrolment
  • PHYS 142 Electromagnetism and Optics (4 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    Physics : The basic laws of electricity and magnetism; geometrical and physical optics.

    Terms: Winter 2014

    Instructors: Guy Moore (Winter)

    • Winter
    • 3 hours lectures, 3 hours laboratory in alternate weeks; tutorial sessions
    • Prerequisite: PHYS 131.
    • Corequisite: MATH 141 or higher level calculus course.
    • Restriction: Not open to students taking or having taken PHYS 102, CEGEP objective 00UR or equivalent
    • Laboratory sections have limited enrolment

Electives

Students wishing to take elective courses may choose them from introductory courses offered by departments in the Faculties of Science or of Arts. A list of recommended courses is found at http://www.mcgill.ca/science/sousa/new_students/u0/bsc_freshman/approved/. Certain courses offered by other faculties may also be taken, but some restrictions apply.
Consult the SOUSA website at http://www.mcgill.ca/science/sousa/continuing_students/bsc/outside/ for more information about taking courses from other faculties.

Education Component (60 credits)

60 credits of Education Component, consisting of:

54 credits of required courses
6 credits of complementary courses

Required Courses

54 credits

* Note: The courses marked with an asterisk are counted toward both degrees. They will count as "electives" for the B.Sc. degree, although a grade of "C" or better is required.

The English Language Requirement (EDEC 215) must be taken in the Fall semester following the Freshman year.

  • 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 selected as follows:

* Note: The courses marked with an asterisk are counted toward both degrees. They will count as "electives" for the B.Sc. degree, although a grade of "C" or better is required.

3 credits, one of the three following courses:

  • 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

3 credits, one of the two following courses:

  • 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.

Major Mathematics (54 credits)

Program Prerequisites

Students entering the Major program are normally expected to have completed the courses below or their equivalents. Otherwise they will be required to make up any deficiencies in these courses over and above the 54 credits for the program.

  • 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

Required Courses

27 credits

Where appropriate, Honours courses may be substituted for equivalent Major courses.

* Students select either MATH 249 or MATH 316 but not both.

  • 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 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 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 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 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 249 Honours Complex Variables (3 credits) *

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Functions of a complex variable; Cauchy-Riemann equations; Cauchy's theorem and consequences. Taylor and Laurent expansions. Residue calculus; evaluation of real integrals; integral representation of special functions; the complex inversion integral. Conformal mapping; Schwarz-Christoffel transformation; Poisson's integral formulas; applications.

    Terms: Winter 2014

    Instructors: Johannes Walcher (Winter)

    • Winter
    • Prerequisite: MATH 248.
    • Restriction: Intended for Honours Physics and Engineering students
    • Restriction: Not open to students who have taken or are taking MATH 316
  • 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 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 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 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

Complementary Courses

27 credits selected with the following specifications:

12 credits specifically required of students in the Concurrent B.Sc. and B.Ed. Major Mathematics:

  • 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
  • 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.

at least 3 credits from:

  • 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 335 Computational Algebra (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Computational aspects of modern algebra. Computing in groups: algorithms, algorithmic problems in groups, finitely generated abelian groups, free groups and automata, finitely presented groups. Computing in rings: elementary notions of ring theory, ideals of polynomial rings in several variables, Groebner bases, elements of field 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.

    • Prerequisites: MATH 235 and MATH 236.
    • Note: This course is intended primarily for students in the Major Program in Mathematics and the Joint Major Program in Mathematics and Computer Science.
  • 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.

12 credits from:

It is highly recommended that students include MATH 318 and MATH 346 in their complementary courses.

  • MATH 204 Principles of Statistics 2 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : The concept of degrees of freedom and the analysis of variability. Planning of experiments. Experimental designs. Polynomial and multiple regressions. Statistical computer packages (no previous computing experience is needed). General statistical procedures requiring few assumptions about the probability model.

    Terms: Winter 2014

    Instructors: Russell Steele (Winter)

    • Winter
    • Prerequisite: MATH 203 or equivalent. No calculus prerequisites
    • Restriction: This course is intended for students in all disciplines. For extensive course restrictions covering statistics courses see Section 3.6.1 of the Arts and of the Science sections of the calendar regarding course overlaps.
    • 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 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 320 Differential Geometry (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Review of Euclidean geometry. Local theory of plane and space curves: the Frenet formulas. Local theory of surfaces: the first and second fundamental forms, the shape operator, the mean and Gaussian curvatures, surfaces of revolution with prescribed curvature, ruled and developable surfaces. Geodesic curves on surfaces of revolution. The Gauss-Codazzi equations, rigidity.

    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
    • Prerequisites: MATH 236 or MATH 223 or MATH 247, and MATH 314 or MATH 248
  • 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 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 352 Problem Seminar (1 credit)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Seminar in Mathematical Problem Solving. The problems considered will be of the type that occur in the Putnam competition and in other similar mathematical competitions.

    Terms: Fall 2013

    Instructors: Sergey Norin (Fall)

    • Prerequisite: Enrolment in a math related program or permission of the instructor. Requires departmental approval.
    • Prerequisite: Enrolment in a math related program or permission of the instructor.
  • MATH 407 Dynamic Programming (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Sequential decision problems, resource allocation, transportation problems, equipment replacement, integer programming, network analysis, inventory systems, project scheduling, queuing theory calculus of variations, markovian decision processes, stochastic path problems, reliability, discrete and continuous control processes.

    Terms: Winter 2014

    Instructors: Neville G F Sancho (Winter)

    • Winter
    • Prerequisites: COMP 202; MATH 223 or MATH 236, MATH 314, MATH 315 and MATH 323
  • MATH 410 Majors Project (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : A supervised project.

    Terms: Fall 2013, Winter 2014, Summer 2014

    Instructors: Djivede Kelome (Fall) Djivede Kelome, Abbas Khalili Mahmoudabadi (Winter) Djivede Kelome, Christian Genest, Adrian Roshan Vetta, Masoud Asgharian-Dastenaei (Summer)

    • Prerequisite: Students must have 21 completed credits of the required mathematics courses in their program, including all required 200 level mathematics courses.
    • Requires departmental approval.
  • 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 430 Mathematical Finance (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Introduction to concepts of price and hedge derivative securities. The following concepts will be studied in both concrete and continuous time: filtrations, martingales, the change of measure technique, hedging, pricing, absence of arbitrage opportunities and the Fundamental Theorem of Asset Pricing.

    Terms: Winter 2014

    Instructors: Djivede Kelome (Winter)

    • Restrictions: Not open to students who have taken MATH 330. Not open to students who have taken or are taking MATH 490.
  • 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 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

In consultation with an adviser, 3 of the 12 credits may be selected from other MATH courses or related disciplines.

Electives (21 credits)

21 credits of electives, of which at least 18 credits must be Science Electives chosen in consultation with the Science Adviser.

The electives must be chosen in such a way that the credit counts needed for graduation are satisfied.

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