Table of Contents
- Academic Calendar 2022-2023 (September 2022)
- I. General Information and Admissions
- 1. Welcome to 绿帽社区
- 2. Glossary of Academic Terms and Calendar of Events
- 3. Admission
- 3.1. Contact Information
- 3.2. Admission to the University
- 3.3. Minimum General Admission Requirements
- 3.4. Additional Admission Requirements
- 3.5. Notes on Entry to First-Year Courses
- 3.6. Requirements for Non-Canadian Education Systems
- 3.7. English Requirements
- 3.8. Mature Students
- 3.9. Admission with Advanced Standing
- 3.10. Transfer Students
- 3.11. Challenge for Credit
- 3.12. Visiting Students
- 3.13. Exchange Students
- 3.14. Special Circumstances
- 3.15. Graduate Studies
- 4. Fees
- 4.1. Fees and Expenses
- 4.1.1. Full-time/Part-time Enrolment - Fall and Winter terms
- 4.1.2. Tuition Fees
- 4.1.3. Overload Fees for Full-Time Students
- 4.1.4. Auditing Fees
- 4.1.5. Mail Service, Fitness Centre, and Technology and Service Fee
- 4.1.6. Student Organization Fees
- 4.1.7. Other Fees
- 4.1.8. Fieldwork and Travel: Expenses and Liability
- 4.1.9. Instructional Supplies Fees
- 4.1.10. Study Abroad and Exchange Fee
- 4.1.11. Residence, Communications and Meal Plan Fees
- 4.1.12. Mountie Money
- 4.2. Deposits for Full-Time Students
- 4.2.1. Registration Deposits for New Students
- 4.2.2. Residence Deposits for New Students
- 4.2.3. Refunds of Residence Deposits for New Students
- 4.2.4. Registration Deposits for Returning Students
- 4.2.5. Residence Deposits and Refunds for Returning Students
- 4.2.6. Registration Deposits for January Admissions (New and Former Students)
- 4.2.7. Residence Deposits for January Admissions (New and Former Students)
- 4.3. Payment of Fees
- 4.3.1. Payments and Charges
- 4.3.2. Fall and Winter Payments by Part-Time Students
- 4.3.3. Fall Payments by Full-time Students
- 4.3.4. Winter Payments by Full-time Students
- 4.3.5. Fall and Winter Payments for Students Participating in Exchange Programs
- 4.3.6. Method of Payment
- 4.3.7. Reducing the Amount of Payments
- 4.4. Late Fees and Interest Charges
- 4.5. Withdrawals and Student Accounts
- 4.1. Fees and Expenses
- 5. Financial Assistance
- 6. Co-Curricular Life
- 6.1. The 绿帽社区 Students' Union
- 6.2. The Argosy Weekly
- 6.3. CHMA FM
- 6.4. Motyer-Fancy Theatre
- 6.5. Residence Council
- 6.6. The Pond
- 6.7. Student Employment
- 6.8. Accommodation
- 6.9. Department of Athletics and Recreation
- 6.10. Spiritual Care on Campus
- 6.11. Student Life
- 6.12. Student Life Resources
- 6.12.1. Personal Counselling
- 6.12.2. Experiential Learning and Career Development
- 6.12.3. Employment
- 6.12.4. Health Services
- 6.12.5. Student Health Insurance
- 6.12.6. Dietary and Nutritional Concerns
- 6.12.7. Student Wellness
- 6.12.8. Landlord/Tenant Concerns
- 6.12.9. International Students
- 6.12.10. Student Conduct
- 6.13. Services for Students with Disabilities
- 7. General Information
- 8. Personnel
- 9. Lectureships, Trusts and Fellowships; Endowed Chairs; Faculty Awards
- 9.1. Lectureships, Trusts and Fellowships
- 9.2. Endowed Chairs
- 9.2.1. Clement Chandler Avard and Florence Sybil Avard Chair in French Language
- 9.2.2. The Walter B. Cowan Chair in Religious Studies
- 9.2.3. The Edgar and Dorothy Davidson Chair in Canadian Studies
- 9.2.4. Fred C. Manning Chair in Commerce
- 9.2.5. The Hart Almerrin Massey Chair in Philosophy
- 9.2.6. The Pickard-Bell Chair in Music
- 9.2.7. The Reverend William Purvis Chair in English Literature
- 9.2.8. The Obed Edmund Smith Chair in Physics
- 9.2.9. The Obed Edmund Smith Chair in Mathematics
- 9.2.10. The Stiles-Bennett Chair in History
- 9.2.11. The Josiah Wood Chair in Classics
- 9.2.12. The Charles and Joseph Allison Chair of English Language and Literature
- 9.3. Faculty Awards
- II. Academic Regulations
- 10. Academic Regulations
- 10.1. Communication
- 10.2. Courses of Instruction
- 10.3. Registration
- 10.3.1. Registration Procedures (Adding Courses)
- 10.3.2. Registration Deadline
- 10.3.3. Registration Deadline (Self-directed Distance Learning Courses)
- 10.3.4. Determining Year Level
- 10.3.5. Normal Course Loads and Overloads (Fall and Winter terms)
- 10.3.6. Normal Course Loads and Overloads (Spring/Summer term)
- 10.3.7. Repeating Courses
- 10.3.8. Auditing Courses
- 10.4. Changes in Registration and Withdrawal
- 10.5. Transfer Credits
- 10.6. Academic Integrity
- 10.7. Missed Coursework or Tests
- 10.8. Examination Regulations
- 10.8.1. Scheduled Tests and Final Examinations (Fall and Winter terms)
- 10.8.2. Scheduled Tests and Final Examinations (Spring/Summer term)
- 10.8.3. Viewing Examination Papers
- 10.8.4. Accommodations for Missed Final Examinations
- 10.8.5. Extended Deadlines for Completion of Course Work
- 10.8.6. Special Examinations
- 10.9. Evaluations of Student Performance
- 10.9.1. Grading Policies for Courses
- 10.9.2. Reporting of Grades
- 10.9.3. Letter Grades and their Meanings
- 10.9.4. Prerequisite Grade Requirements
- 10.9.5. Grades Excluded from GPA
- 10.9.6. Calculation of TGPA, SGPA and CGPA
- 10.9.7. Repeated Courses, SGPA and CGPA
- 10.9.8. Grade Changes
- 10.9.9. Re-evaluation of a Grade
- 10.9.10. Aegrotat Standing
- 10.9.11. Assessment of Academic Standing
- 10.9.12. Good Standing
- 10.9.13. Unsatisfactory Standing
- 10.9.14. Academic Performance Indicators
- 10.9.15. Academic Probation
- 10.9.16. Academic Suspension
- 10.9.17. Academic Dismissal
- 10.9.18. Procedures for Appeals and Re-admissions
- 10.9.19. Disciplinary Suspension or Dismissal
- 10.9.20. Dean's List
- 10.10. Degree Requirements
- 10.10.1. Academic Standing and Credits Required for a Degree
- 10.10.2. Academic Residency Requirements
- 10.10.3. Degree with Distinction Requirements
- 10.10.4. Honours GPA and Overall GPA Requirements
- 10.10.5. Submitting a Thesis
- 10.10.6. Falling Short of the Honours Requirements
- 10.10.7. Second Undergraduate Degree Requirements
- 10.10.8. Honours Certificate
- 10.11. Graduation and Convocation
- 10.12. Transcripts
- 10.13. Replacement/Duplicate Diplomas
- 10.14. Notification of Disclosure of Personal Information
- 10. Academic Regulations
- III. Academic Degrees, Programs and Courses
- 11. Academic Programs
- 11.1. General Regulations
- 11.2. Bachelor of Arts
- 11.2.1. Requirements for a B.A. Degree
- 11.2.2. Distribution Requirements
- 11.2.3. 3/4000 Level Courses
- 11.2.4. Credits Required for a Major and Minor
- 11.2.5. Additional Minor
- 11.2.6. Double Major
- 11.2.7. Joint Major
- 11.2.8. Honours Degree
- 11.2.9. General Degree with Three Minors
- 11.2.10. The Major as Required for the B.A.
- 11.2.11. Disciplinary Major
- 11.2.12. Interdisciplinary Major
- 11.2.13. Joint Major
- 11.2.14. Specially Approved Major
- 11.2.15. Majors Available for the B.A.
- 11.2.16. Joint Majors Available for the B.A.
- 11.2.17. The Minor as Required for the B.A.
- 11.2.18. Disciplinary Minor
- 11.2.19. Interdisciplinary Minor
- 11.2.20. Specially Approved Minor
- 11.2.21. Minors Available for the B.A.
- 11.2.22. Disciplinary and Interdisciplinary Honours Programs
- 11.2.23. Honours Programs Available for the B.A.
- 11.2.24. Complementary Courses and Prerequisites
- 11.3. Bachelor of Science
- 11.3.1. Requirements for a B.Sc. Degree
- 11.3.2. Distribution Requirements
- 11.3.3. Science Core
- 11.3.4. Minimum Number of Science Credits
- 11.3.5. 3/4000 Level Science Courses
- 11.3.6. Credits Required for a Major and Minor
- 11.3.7. Additional Minor
- 11.3.8. Double Major
- 11.3.9. Joint Major
- 11.3.10. Honours Degree
- 11.3.11. General Degree with Three Minors
- 11.3.12. Courses which Qualify as Science Credits
- 11.3.13. The Major As Required for the B.Sc.
- 11.3.14. Disciplinary Major
- 11.3.15. Interdisciplinary Major
- 11.3.16. Joint Major
- 11.3.17. Specially Approved Major
- 11.3.18. Majors available for the B.Sc.
- 11.3.19. Joint Majors available for the B.Sc.
- 11.3.20. The Minor as Required for the B.Sc.
- 11.3.21. Disciplinary Minor
- 11.3.22. Interdisciplinary Minor
- 11.3.23. Specially Approved Minor
- 11.3.24. Minors Available for the B.Sc.
- 11.3.25. Disciplinary and Interdisciplinary Honours Programs
- 11.3.26. Honours Programs Available for the B.Sc.
- 11.4. Master of Science
- 11.5. Bachelor of Commerce
- 11.5.1. Primary Objective
- 11.5.2. Requirements for a Bachelor of Commerce Degree
- 11.5.3. Distribution Requirements
- 11.5.4. 3/4000 Level Courses
- 11.5.5. Commerce Degree Core Requirements
- 11.5.6. Commerce Electives on the Bachelor of Commerce Degree
- 11.5.7. The Minor as Required for the Bachelor of Commerce
- 11.5.8. Elective Credits
- 11.5.9. Honours Programs Available for the Bachelor of Commerce
- 11.5.10. Commerce with Honours
- 11.5.11. Commerce with Honours in Economics
- 11.5.12. Commerce - Aviation offered in conjunction with MFC Training
- 11.5.13. Major from Other Disciplines
- 11.5.14. Transferring to Commerce
- 11.6. Bachelor of Music
- 11.7. Bachelor of Fine Arts
- 11.8. Bachelor of Arts and Science
- 11.9. Certificate of Bilingualism/ Certificat De Bilinguisme
- 11.10. Undergraduate Certificates
- 11.11. Pre-Professional Requirements
- 11.12. International Programs
- 11.13. University Special Topics Courses
- 12. Programs and Courses of Instruction
- American Studies
- Anthropology
- Arts
- Art History
- Aviation
- Biochemistry
- Biology
- Biopsychology
- Canadian Public Policy
- Canadian Studies
- Chemistry
- Classics
- Cognitive Science
- Commerce/Ron Joyce Centre for Business Studies
- Community Engaged Learning
- Computer Science
- Data Science
- Drama Studies
- Economics
- English Literatures
- Environmental Science
- Environmental Studies
- Experiential Learning
- Fine Arts/Pierre Lassonde School of Fine Arts
- French Studies
- Geography
- Geography and Environment
- German Studies
- Greek
- Health Studies
- Hispanic Studies
- History
- Indigenous Studies
- International Economics and Business
- International Relations
- Japanese Studies
- Latin
- Linguistics
- Mathematics
- Modern Languages and Literatures
- Museum and Curatorial Studies
- Music
- Philosophy
- Philosophy, Politics, and Economics/Frank McKenna School of PPE
- Physics
- Politics and International Relations
- Psychology
- Religious Studies
- Science
- Screen Studies
- Social Science
- Sociology
- Spanish Studies
- University Special Topic Courses
- Visual and Material Culture
- Women's and Gender Studies
- Certificate Programs
- Certificate in Arts Administration
- Certificate in Biopsychology
- Certificate in Canadian Arts and Culture
- Certificate in Community Engaged Learning
- Certificates in Data Science
- Certificate in Diversity, Equity, and Inclusion
- Certificate in Foundations of Health
- Certificate in Mi'kmaq Studies
- Certificate in Music Education
- Certificate in Social Research Methodologies
- Certificate in Studies of Indigenous History
- Certificate in Theatre Arts
- Certificate in Visual Literacy and Culture
- 11. Academic Programs
- Index
- I. General Information and Admissions
Mathematics is a discipline which has been said to be the Queen of the Sciences, and is the foundation of most modern quantitative and qualitative studies. The permanence and universality of mathematics throughout the ages is a consequence of its very nature. Mathematics is cumulative, developing from the earliest use of numbers by prehistoric civilizations to the highly deductive nature of geometry as developed by the Greeks, from the practical applications of calculus developed in the seventeenth century to the modern use of number theory in computer cryptography. Mathematics has many faces, from practical uses of its statistical tools to theoretical studies of abstract relationships. Our goal is to introduce students to all facets of the discipline, and to give them an appreciation of the historical, theoretical and applied nature of the discipline, as well as a full understanding of the beauty of the subject.
The Department offers a broad variety of courses and programs in Mathematics. Beginning courses may introduce students to the applications to which Calculus may be applied or the practical uses of statistics; more advanced courses deal with topics ranging from geometry to game theory. All courses in the Mathematics curriculum offer a blend of theory and practical applications. Many of the courses offered include a substantial computational component, and students are encouraged to use the mathematical software tools available. Courses are designed to address the needs of a wide variety of users, from the casual to the professional. Some students may enrol in a course to familiarize themselves with university level mathematics, while others will take a series of courses related directly to their chosen study area. Those choosing to pursue a minor or major in mathematics will be exposed to more advanced courses which blend Mathematical theory and practice.
绿帽社区 has been very successful in placing many of its students in graduate programs in Mathematics, while many others have found employment after graduation in one of many fields for which mathematical understanding is an asset. Teaching, actuarial work, law and medicine are all areas requiring the ability to think and reason logically and for which a mathematical background can prove beneficial.
| 3 | from MATH 1111, 1151 |
| 3 | from MATH 1121 |
| 12 | from MATH 1311, 2111, 2121, 2211, 2221, 2321. |
| 6 | from Mathematics at the 3/4000 level. |
| 3 | from MATH 1111, 1151 |
| 12 | from MATH 1121, 2111, 2211, 2221 |
| 3 | from MATH 1311, 2121 |
| 3 | from MATH 3111, 3141, 3161 |
| 3 | from MATH 3211, 3221, 3231, 4011 |
| 3 | from MATH 3151, 3311, 3411 |
| 15 | from Mathematics at the 3/4000 level |
| 6 | from COMP 1631, 1731 |
| 12 | credits from complementary disciplines chosen in consultation with the Program Advisor |
| 3 | from MATH 1111, 1151 |
| 15 | from MATH 1121, 2111, 2121, 2211, 2221 |
| 6 | from COMP 1631, 1731 |
| 6 | from MATH 3111, 3211 |
| 3 | from MATH 3311, 3411 |
| 6 | from MATH 4011, 4111, 4121, 4221, 4311, 4951, 4991 |
| 15 | from MATH at the 3/4000 level |
| 6 | from MATH 4901 and 4911, or 6 from MATH at the 3/4000 level |
| 6 | from Mathematics or Computer Science at the 3/4000 levels |
| 6 | from Computer Science, Economics, or Mathematics at the 2000 level or above, or from COMM 3411, LING 2001, 3001, PHIL 2611, PHIL 3631 |
| 18 | from COMP 1631, 1731, 2211, 2611, 2711, 2931 |
| 3 | from MATH 1111, 1151 |
| 12 | from MATH 1121, 2111, 2121, 2221 |
| 9 | from MATH 3111, 3211, 3311 |
| 3 | from MATH 3221, 3231, 3251, 4011, 4221 |
| 3 | from Mathematics at the 3/4000 levels |
| 3 | from COMP 3361, 3971 |
| 12 | from COMP 3411, 3611, 3911, 4721 |
| 12 | from Computer Science or Mathematics at the 3/4000 level, which may include COMP 4990 |
| 9 | from CHEM 1001, 1021; PHYS 1051, 1551 (only for B.Sc.) |
| 3 | from BIOL 1001, BIOL 1501, BIOC 1001, GENS 1401, PSYC 1001 or PSYC 1011 (only for B. Sc.) |
| 3 | from MATH 1111, 1151 |
| 15 | from MATH 1121, 2111, 2121, 2211, 2221 |
| 3 | from MATH 3111, 3141, 3161 |
| 3 | from MATH 3211, 3221, 3231, 4011 |
| 3 | from MATH 3151, 3311, 3411 |
| 15 | from Mathematics at the 3/4000 level |
| 6 | from COMP 1631, 1731 |
| 9 | from CHEM 1001, 1021; PHYS 1051, 1551 |
| 3 | from BIOL 1001, BIOL 1501, BIOC 1001, GENS 1401, PSYC 1001 or PSYC 1011 |
| 3 | from MATH 1111, 1151 |
| 15 | from MATH 1121, 2111, 2121, 2211, 2221 |
| 6 | from COMP 1631, 1731 |
| 6 | from MATH 3111, 3211 |
| 3 | from MATH 3311, 3411 |
| 6 | from MATH 4011, 4111, 4121, 4221, 4311, 4951, 4991 |
| 15 | from MATH at the 3/4000 level |
| 6 | from MATH 4901 and 4911, or 6 from MATH at the 3/4000 level |
| 6 | from Mathematics or Computer Science at the 3/4000 level |
| 9 | from CHEM 1001, 1021; PHYS 1051, 1551 |
| 3 | from BIOL 1001, BIOL 1501, BIOC 1001, GENS 1401, PSYC 1001 or PSYC 1011 |
| 21 | from ECON 1001, 1011, 2001, 2011, 2101, 2111, 2701 |
| 3 | from MATH 1111, 1151 |
| 15 | from MATH 1121, 2111, 2121, 2211, 2221 |
| 3 | from ECON 1701, MATH 1311, 2311 |
| 3 | from COMP 1631 |
| 6 | from MATH 3111, 3211 |
| 12 | from ECON 4711, 4721, 4801, 4811, 4821 |
| 6 | from ECON at the 3/4000 levels which may include ECON 4990 |
| 12 | from MATH at the 3/4000 level |
| 3 | from BIOL 1001, BIOL 1501, BIOC 1001, GENS 1401, PSYC 1001 or PSYC 1011 |
| 3 | from MATH 1111 or 1151 |
| 15 | from MATH 1121, 2111, 2121, 2211, 2221 |
| 3 | from COMP 1631 |
| 6 | from CHEM 1001, 1021 |
| 12 | from PHYS 1051, 1551, 2251, 2801 |
| 3 | from PHYS 3451 |
| 9 | from MATH 3111, 3211, 3311 |
| 6 | from MATH 3141, 3161 |
| 6 | from MATH 3131, 3221, 3151, 3231, 3411, 3531, 4111, 4121, 4311, PHYS 4101, 4201, 4311, 4831, 4851, 4911; only 3 credits may be selected from the listed Physics courses |
| 18 | from PHYS 3101, 3201, 3701, 3811, 3821, 4411 |
| 6 | from PHYS 4990 |
狈辞迟别:�Students pursuing Honours in Mathematics and Physics may be allowed to substitute PHYS 1041 for PHYS 1051 with permission of the Department
狈辞迟别:� The listing of a course in the Calendar is not a guarantee that the course is offered every year.
狈辞迟别:� Students must obtain a grade of at least C- in all courses used to fulfill prerequisite requirements. Otherwise, written permission of the appropriate Department Head or Program Co-ordinator must be obtained.
Functions
This course focuses on the real number system, inequalities, plane analytic geometry (lines and conics), functions, inverse functions, polynomials, rational functions, trigonometric functions, and exponential and logarithmic functions. It emphasizes fundamental methods of graphing functions, using non-calculus based techniques. [Note 1: This course is primarily intended for non-science students or as a prerequisite for MATH 1111 or 1151 for those students who have not passed the Mathematics Placement Test. Science students who have passed the Mathematics Placement Test require the permission of the Department of Mathematics and Computer Science to enrol in this course. Credit will not be given for this course if credit has already been granted for MATH 1111 or 1151.] (Format: Lecture 3 Hours, Laboratory 1.5 Hours) (Exclusion: Any version of MATH 1011 previously offered with a different title)
Calculus I
This course introduces differential calculus. Topics include derivatives of algebraic, trigonometric, and exponential functions and applications such as curve sketching, related rates, and optimization problems. [Note 1: This course has a Challenge for Credit option; see Calendar Section 3.11] (Format: Lecture 3 Hours, Laboratory 1.5 Hours)(Exclusion: MATH 1151; any version of MATH 1111 previously offered with a different title)
Calculus II
Prereq: 3 credits from MATH 1111, 1151; or permission of the Department
This course continues the introduction to calculus begun in MATH 1111. Topics include techniques of integration; applications of the integral such as finding volumes and solving elementary differential equations; and sequences and series. (Format: Lecture 3 Hours, Laboratory 1.5 Hours) (Exclusion: Any version of MATH 1121 previously offered with a different title)
Applied Calculus
This course introduces differential and integral calculus with an emphasis on applications. Topics include modeling with functions, interpretation of the derivative and integral, and some computational methods. (Format: Lecture 3 Hours, Laboratory 1.5 Hours) (Exclusion: MATH 1111)
Finite Mathematics
This course introduces common applications of finite mathematics. Topics include Markov chains, linear programming and game theory. [Note 1: This course is restricted to non-mathematics majors and is intended in particular for students in behavioural sciences, commerce, and social sciences. Mathematics majors require the instructor's permission to enrol.] (Format: Lecture 3 Hours)
Introduction to Data Science
This course emphasizes practical techniques for working with large-scale data and introduces tools and techniques for managing, visualizing, and making sense of data through the use of statistical software. Topics include: descriptive statistics, confidence intervals, regression, and machine learning. (Format: Lecture 3 hours, Laboratory 1.5 hours)
Special Topic in Mathematics
This course either focuses on topics not covered by the current course offerings in a department or program or offers the opportunity to pilot a course that is being considered for inclusion in the regular program. [Note 1: Prerequisite set by Department/Program when the topic and level are announced. Note 2: When a Department or Program intends to offer a course under this designation, it must submit course information, normally at least three months in advance, to the Dean. Note 3: Students may register for MATH 1991 more than once, provided the subject matter differs.] (Format: Variable)
Multivariable Calculus
Prereq: MATH 1121; or permission of the Department
This course introduces the calculus of functions of several variables, including conic sections, quadric surfaces, polar co-ordinates in the plane, cylindrical and spherical co-ordinates in three space, continuity, partial derivatives, tangent planes, chain rule, maximum and minimum values, Lagrange multipliers, and double and triple integrals.(Format: Lecture 3 Hours)
Differential Equations I
Prereq: MATH 1121; or permission of the Department
This course introduces first and second order differential equations. Topics include techniques for solving simple differential equations and the qualitative analysis of linear and non-linear equations. Applications include growth and decay, heating and cooling, and mixing and chemical reactions. (Format: Lecture 3 Hours) (Exclusion: Any version of MATH 2121 previously offered with a different title)
Discrete Structures
Prereq: 3 credits from MATH 1111, 1151; or permission of the Department
This course introduces the terminology and concepts of discrete mathematics. Topics may include: logical arguments, proofs and algorithm verification, sets, relations, functions and cardinality of sets, induction and recursion, enumeration, and algorithms and complexity. [Note 1: This course is cross-listed with COMP 2211 and may therefore count as three credits in either discipline.] (Format: Lecture 3 Hours)
Linear Algebra
Prereq: 3 credits from MATH 1111, 1151; or permission of the Departm
This course introduces linear algebra and its applications. Topics may include: linear equations, matrices, determinants, vector spaces, linear transformations, inner products, eigenvalues, and eigenvectors. Whenever possible, the course provides geometric interpretation in two- and three-dimensional space. (Format: Lecture 3 Hours)
Statistics I
This course introduces some of the concepts and techniques of probability and statistics. Topics include descriptive statistics, elementary probability, probability distributions, statistical estimation, hypothesis testing, and the use of a statistical software package in analyzing data. Examples come from a wide variety of disciplines. (Format: Lecture 3 Hours)
Statistical Methods for Data Science
Prereq: 3 credits from MATH 1311, 2311, 3311; or permission of the Department
This is a second course in the concepts and techniques of probability, statistics, and data science. It further emphasizes practical computational techniques for modelling, understanding, and making predictions with large-scale data, as well as the mathematical basis of those techniques. Topics covered may include: basic combinatorics, independence and conditional probability, Bayesian methods, linear and nonlinear regression, correlation estimation and prediction, goodness-of-fit tests, and machine learning. (Format: Lecture 3 Hours, Laboratory 1 Hour) (Exclusion: Any version of MATH 2321 previously offered with a different title)
Special Topic in Mathematics
This course either focuses on topics not covered by the current course offerings in a department or program or offers the opportunity to pilot a course that is being considered for inclusion in the regular program. [Note 1: Prerequisite set by Department/Program when the topic and level are announced. Note 2: When a Department or Program intends to offer a course under this designation, it must submit course information, normally at least three months in advance, to the Dean. Note 3: Students may register for MATH 2991 more than once, provided the subject matter differs.] (Format: Variable)
History of Mathematics
Prereq: 6 credits from MATH 2111, 2121, 2211, 2221; or permission of the Department
This course surveys the history of mathematics. Topics include: the achievements of early civilizations, the developments in Europe leading to the calculus and its consequences, the growth of rigor in the eighteenth and nineteenth centuries, and the axiomatic method in the twentieth century. (Format: Lecture 3 Hours)
Real Analysis I
Prereq: MATH 1121; MATH 2211; or permission of the Department
This course provides a systematic and rigorous study of the real numbers and functions of a real variable, emphasizing limits and continuity. (Format: Lecture 3 Hours)
Differential Equations II
Prereq: MATH 2121; MATH 2111; MATH 2221; or permission of the Department
This course focuses on ordinary and partial differential equations. Topics for ordinary differential equations include existence and uniqueness of solutions, systems of differential equations, power series solutions, Laplace and Fourier transforms, and Fourier series. Topics for partial differential equations include separation of variables, generalized Fourier series, Sturm-Liouville theory, Legendre polynomials, Bessel functions, Green's functions, and the calculus of variations. (Format: Lecture 3 Hours) (Exclusion: Any version of MATH 3131 previously offered with a different title)
Vector Calculus
Prereq: MATH 2111; 3 credits from MATH 2221, MATH/PHYS 3451; or permission of the Department
This course covers the calculus of vector-valued functions and curves, vector fields, line and surface integrals, vector differential operators, and the various forms of Stokes' Theorem. It may also include the differential geometry of curves and differential forms. (Format: Lecture 3 Hours)
An Introduction to Mathematical Modelling
Prereq: Third-year standing; 3 credits from Math 1111, 1151; or permission of the Department
This course introduces the nature of theoretical mathematical modelling illustrated by examples drawn from the physical sciences, population dynamics (mathematical ecology), traffic flow, sociological problems (for example voting, kinship and cultural stability) and other areas depending on the interests of the class. (Format: Lecture 3 Hours)
Complex Variables With Applications
Prereq: MATH 2111; or permission of the Department
This course covers analytic functions, Cauchy-Riemann equations, conformal mapping, complex integrals, Cauchy's integral theorem, Taylor and Laurent Series, residues,evaluation of real integrals, and inverse transforms. (Format: Lecture 3 Hours; Exclusion MATH 4131)
Modern Algebra I
Prereq: MATH 2211; MATH 2221; or permission of the Department
This course introduces the theory of groups and rings. (Format: Lecture 3 Hours)
Advanced Linear Algebra
Prereq: MATH 2221; MATH 2211 recommended; or permission of the Department
This course covers selected linear algebraic topics such as: change of basis and similarity of matrices; multilinear forms and determinants; canonical forms, Primary Decomposition Theorem, Jordan form; semisimple and normal operators; spectral theory; quadratic forms; and applications to areas such as geography, electrical networks, linear programming, differential equations, and the geometry of conic sections. (Format: Lecture 3 Hour)
Number Theory
Prereq: MATH 2211; or permission of the Department
This course introduces the theory of numbers. Topics may include: the Euclidean algorithm, the Fundamental Theorem of Arithmetic, congruences, diophantine equations, Fermat and Wilson Theorems, quadratic residues, continued fractions, and the Prime Number Theorem. (Format: Lecture 3 Hours)
Graph Theory
Prereq: MATH 2211; or permission of the Department
This course introduces terminology, techniques, and applications of graph theory and examines parameters for a variety of classes of graphs. Topics include trees, planarity, colouring, matchings, and network flow problems. (Format: Lecture 3 Hours) (Exclusion: Any version of MATH 3251 previously offered with a different title.)
Introduction to Game Theory
Prereq: 6 credits from ECON 1001, 1011; or 3 credits from MATH 1111, 1151; or permission of the Department
This course introduces the basic tools and methods of Game Theory. Game Theory is a mathematically oriented approach to understanding the strategic interaction of self-interested agents. Emphasis is on non-cooperative games. Topics include backwards induction, iterative deletion of dominated strategies, Nash equilibrium, repeated games, some equilibrium refinements, evolutionary game theory, and Bayesian Nash equilibria. [Note 1: This course is cross-listed as ECON 3301 and therefore may count as 3 credits in either discipline. Note 2: Counts as a Commerce elective for students taking a Bachelor of Commerce or a Major or Minor in Commerce] (Format: Lecture 3 Hours, Laboratory 1 Hour)
Probability and Statistics I
Prereq: MATH 2111; or permission of the Department
This course focuses on the mathematical theory of probability. It includes topics such as: sample space, events, axioms, conditional probability, Bayes' Theorem, random variables, combinatorial probability, moment generating functions, transformations of random variables, univariate and joint distributions with reference to the binomial, hypergeometric, normal, Gamma, Poisson, and others; convergence of sequences of variables; and the Central Limit Theorem. (Format: Lecture 3 Hours)
Numerical Analysis
Prereq: MATH 1121; 3 credits from MATH 2221, MATH/PHYS 3451; 3 credits from COMP or PHYS; or permission of the Department
This course introduces numerical methods for solving a variety of problems in the sciences. Topics include numerical errors and precision, root finding, model fitting, integration and solution of differential equations, solution of linear and nonlinear systems of equations, and matrix factorization. [Note 1: This course is cross-listed as COMP 3411 and PHYS 3411 and may therefore count as three credits in any of the three disciplines.] (Format: Lecture 3 Hours)
Simulation and Modelling
Prereq: 3 credits from MATH 1111, 1151; 3 credits from MATH 2311, 3311, PSYC 2001, 2011; 3 credits from COMP; or permission of the Department
This course introduces the simulation technique for studying mathematical models. Topics include: systems theory and system models, continuous system simulation, discrete system simulation, Monte Carlo methods, random number generators, and simulation languages. It emphasizes computer implementation of the methods studied. [Note 1: This course is cross listed as COMP 3531 and may therefore count as three credits in either discipline.] (Format: Lecture 3 Hours)
Special Topic in Mathematics
This course either focuses on topics not covered by the current course offerings in a department or program or offers the opportunity to pilot a course that is being considered for inclusion in the regular program. [Note 1: Prerequisite set by Department/Program when the topic and level are announced. Note 2: When a Department or Program intends to offer a course under this designation, it must submit course information, normally at least three months in advance, to the Dean. Note 3: Students may register for MATH 3991 more than once, provided the subject matter differs.] (Format: Variable)
Set Theory and Introductory Category Theory
Prereq: 3 credits from MATH 3111, 3211, 3221; or permission of the Department
This course provides an introduction to set theory via the basic ideas of category theory. Topics may include: categories, types of arrows in categories, limits and colimits, mapping sets, cardinals and ordinals, and the axiom of choice. (Format: Lecture 3 hours)(Exclusion: MATH 3011)
Topology
Prereq: MATH 2111; MATH 3111; or permission of the Department
This course introduces the essential ideas of topology. Topics include: metric and topological spaces, convergence, continuous functions, connected spaces, compact spaces, and homotopy. (Format: Lecture 3 hours)
Real Analysis II
Prereq: MATH 2111; MATH 3111; or permission of the Department
This course continues the study of analysis begun in MATH 3111 and includes a rigorous study of the Riemann and Lebesgue integrals based on formal definitions and proofs. (Format: Lecture 3 Hours; Exclusion: MATH 3121)
Modern Algebra II
Prereq: MATH 3211; or permission of the Department
This course explores the classical theory of rings and fields and their applications. (Format: Lecture 3 Hours)
Probability and Statistics II
Prereq: MATH 3311; or permission of the Department
This course focuses on mathematical statistics. It includes topics such as: estimation, unbiasedness,efficiency, Cramer-Rao lower bound, consistency, sufficiency, maximum likelihood estimators, hypothesis testing, power of tests, likelihood ratio, regression analysis and analysis of variance. (Format: Lecture 3 Hours) (Exclusion: MATH 3321)
Theory of Computation
Prereq: COMP/MATH 2211; COMP 1731; or permission of the Department
This course is an introduction to theoretical aspects of Computer Science such as formal language and automata theory and complexity theory. [Note 1: This course is cross listed as COMP 4631 and may therefore count as three credits in either discipline.] (Format: Lecture 3 Hours)
Cryptography
Prereq: COMP 1731; COMP/MATH 2211; MATH 2221; or permission of the Department
This course is an introduction to cryptographic algorithms and to the cryptanalysis of these algorithms, with an emphasis on the fundamental principles of information security. Topics include: classical cryptosystems, modern block and stream ciphers, public-key ciphers, digital signatures, hash functions, key distribution and agreement. [Note 1: This course is cross listed as COMP 4651 and may therefore count as three credits in either discipline.] (Format: Lecture 3 Hours)
Honours Thesis I
Prereq: Registered in Honors Math Program; fourth-year standing.
This course comprises independent research and study under the direction of one or more supervisors approved by the Department. This first course is typically focused on background research. The student prepares a report on their progress by the end of the term. (Note: consent of supervisor(s) required). (Format: Independent Study/Thesis).
Honours Thesis II
Prereq: MATH 4901, with a grade of at least B required.
This course comprises independent research and study under the direction of one or more supervisors approved by the Department. This second course is typically focused on developing, writing, and presenting the thesis itself. (Note: consent of supervisor(s) required). (Format: Independent Study/Thesis).
Independent Study in Mathematics
This course permits senior students, under the direction of faculty members, to pursue their interest in areas not covered, or not covered in depth, by other courses through a program of independent study. [Note 1: Permission of the Department/Program Advisor. Students must obtain consent of an instructor who is willing to be a supervisor and must register for the course prior to the last day for change of registration in the term during which the course is being taken. Note 2: A program on Independent Study cannot duplicate subject matter covered through regular course offerings. Note 3: Students may register for MATH 4950/51 more than once, provided the subject matter differs.] (Format: Independent Study)
Special Topic in Mathematics
This course either focuses on topics not covered by the current course offerings in a department or program or offers the opportunity to pilot a course that is being considered for inclusion in the regular program. [Note 1: Prerequisite set by Department/Program when the topic and level are announced. Note 2: When a Department or Program intends to offer a course under this designation, it must submit course information, normally at least three months in advance, to the Dean. Note 3: Students may register for MATH 4991 more than once, provided the subject matter differs.] (Format: Variable)