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Mathematics and Statistics (MATH)
Location
Location
- Burnside Hall, Room 1005
- 805 Sherbrooke Street West
- Montreal, Quebec, H3A 2K6
- Telephone: 514-398-3800
- Fax: 514-398-3899
- Website:
About Mathematics and Statistics
About Mathematics and Statistics
Mathematics has evolved to a discipline that is mainly characterized by its method of proof, its concern for a progressive broadening of its concepts, and by the search for mathematical entities and operations that represent aspects of reality. It is a subject that is pursued by many for its own sake, and regarded as part of the mainstream of human culture. Mathematics pervades modern society with an impact which, already immense, is rapidly growing.
The two principal divisions of mathematics are pure mathematics and applied mathematics. The pure mathematician is interested in abstract mathematical structures and in mathematics as an intellectual enterprise. The primary concern may not be with its utilitarian aspects or with the current needs of science and technology, although many problems in pure mathematics have developed from the sciences.
The applied mathematician is more interested in how mathematics can be used to study some aspects of the world. Mathematicians are engaged in the creation, study and application of advanced mathematical methods relevant to scientific problems. Statistical science and methodology today is concerned with phenomena in which there is a background of uncertainty arising from inherent variability and the investigator is obliged to arrive at decisions from limited data. A key tool in statistics is probability.
Some of the fields in which pure mathematicians work are algebra, analysis, geometry, topology, number theory and foundations. Applied mathematics, which once referred to the application of mathematics to such disciplines as mechanics and fluid dynamics, has currently assumed a much broader meaning and embraces such diverse fields as communication theory, theory of optimization, theory of games and numerical analysis.
Mathematics offers many vocational possibilities. Such fields as teaching, computing, applied statistics and actuarial science offer opportunities for B.Sc. graduates. Opportunities to do original research in pure and applied mathematics are available in universities and research institutions. Employment is to be found in financially or technologically oriented business firms. The Department of Mathematics and Statistics through its various programs attempts to provide courses to suit the diverse interests within mathematics and statistics.
The Honours Program demands of the student a talent for abstraction in addition to a high level of competence in the use of mathematical tools. This program is intended for students who plan to work in an area where mathematical innovations may be needed. It is almost essential for students contemplating a career in mathematical research.
The Major Program involves the same subjects as the Honours Program but is less demanding in terms of abstraction. It is designed primarily for students who will need mathematical tools in their work but whose creative activity will involve applications of mathematics to other areas. Within the framework of the Mathematics Major, various combinations of courses are suggested to meet the needs of different students. These include course suggestions for secondary school teachers, careers in management, and for careers in industry, government or actuarial sciences.
It is possible for Major students to include a number of Honours courses in their programs. This will be an advantage for those students who plan to use their mathematics in graduate studies.
Students interested in a Mathematics program linked to other disciplines are advised to consider the B.Sc. Liberal Program with a core component in Mathematics or Statistics, or our joint programs with Computer Science, Physiology and Physics.
In planning their programs, students are advised to seriously consider developing some depth in another discipline 鈥� preferably one for which mathematics has some relevance and use. Mathematics has been closely linked to areas such as computer science, physics and engineering but has recently come to play an increasingly important role in fields such as biology, linguistics, management and psychology. Students should consider completing the requirements for Minor programs such as those available in Cognitive Science, Computer Science and Statistics.
Students considering programs in Mathematics and Statistics should contact the Department to arrange for academic advising.
The student's attention is called to the fact that a B.Com. degree with a Major in Mathematics is available from the Desautels Faculty of Management. In addition, the Schulich School of Music offers the B.Mus. degree with Honours in Theory with Mathematics Option.
Internship Opportunities
Internship Opportunities
Students who want to get practical experience in industry before graduation are encouraged to participate in one of the following internship programs:
- The Internship Year in Science (IYS) is an academic program offered for a duration of 8, 12 or 16 months. It is reflected on the transcript and included in the program name (Bachelor of Science - Internship program). Eligible students usually take this program between their U2 and U3 years.
- The Industrial Practicum (IP) has a duration of 4 months and is usually carried out starting in May. It will appear as a 0-credit, pass/fail course on your transcript.
For more information on these programs, consult Industrial Practicum (IP) and Internship Year in Science (IYS).
Jump To:
- Mathematics and Statistics (MATH) Faculty
- Bachelor of Science (B.Sc.) - Minor Mathematics (24 credits)
- Bachelor of Science (B.Sc.) - Minor Statistics (24 credits)
- Bachelor of Science (B.Sc.) - Liberal Program - Core Science Component Mathematics (45 credits)
- Bachelor of Science (B.Sc.) - Liberal Program - Core Science Component Statistics (45 credits)
- Bachelor of Science (B.Sc.) - Major Mathematics (54 credits)
- Bachelor of Science (B.Sc.) - Major Mathematics and Computer Science (72 credits)
- Bachelor of Science (B.Sc.) - Major Statistics and Computer Science (72 credits)
- Bachelor of Science (B.Sc.) - Honours Mathematics (60 credits)
- Bachelor of Science (B.Sc.) - Honours Applied Mathematics (60 credits)
- Bachelor of Science (B.Sc.) - Honours Probability and Statistics (64 credits)
- Bachelor of Science (B.Sc.) - Honours Mathematics and Computer Science (75 credits)
- Bachelor of Science (B.Sc.) - Honours Statistics and Computer Science (79 credits)
- Mathematics and Statistics (MATH) Related Programs
Mathematics and Statistics (MATH) Faculty
Mathematics and Statistics (MATH) Faculty
| Chair |
|---|
| Jacques Hurtubise |
| Emeritus Professors |
|---|
| Michael Barr; A.B., Ph.D.(Penn.) (Peter Redpath Emeritus Professor of Pure Mathematics) |
| Marta Bunge; M.A., Ph.D.(Penn.) |
| Jal R. Choksi; B.A.(Cant.), Ph.D.(Manc.) |
| Ian Connell; B.Sc., M.Sc.(Manit.), Ph.D.(McG.) |
| Paul Koosis; B.A., Ph.D.(Calif., Berk.) |
| Joachim Lambek; M.Sc., Ph.D.(McG.), F.R.S.C. (Peter Redpath Emeritus Professor of Pure Mathematics) |
| Sherwin A. Maslowe; B.Sc.(Wayne State), M.Sc., Ph.D.(Calif.) |
| Arak M. Mathai; M.Sc.(Kerala), M.A., Ph.D.(Tor.) |
| Karl Peter Russel; Vor.Dip.(Hamburg), Ph.D.(Calif.) |
| Georg Schmidt; B.Sc.(Natal), M.Sc.(S.Af.), Ph.D.(Stan.) |
| V. Seshadri; B.Sc., M.Sc.(Madr.), Ph.D.(Okla.) |
| George P.H. Styan; M.A., Ph.D.(Col.) |
| Kwok Kuen Tam; M.A., Ph.D.(Tor.) |
| John C. Taylor; B.Sc.(Acad.), M.A.(Qu.), Ph.D.(McM.) |
| Sanjo Zlobec; M.Sc.(Zagreb), Ph.D.(N'western) |
| Professors |
|---|
| William J. Anderson; B.Eng., Ph.D.(McG.) |
| William G. Brown; M.A.(Col.), B.A., Ph.D.(Tor.) |
| Henri Darmon; B.Sc.(McG.), Ph.D.(Harv.), F.R.S.C. (James 成人VR视频 Professor) |
| Stephen W. Drury; M.A., Ph.D.(Cant.) |
| Eyal Z. Goren; B.A., M.S., Ph.D.(Hebrew) |
| Kohur GowriSankaran; B.A., M.A.(Madr.), Ph.D.(Bom.) |
| Pengfei Guan; B.Sc.(Zhejiang), M.Sc., Ph.D.(Prin.) |
| Jacques C. Hurtubise; B.Sc.(Montr.), Ph.D.(Oxf.), F.R.S.C. |
| Dmitry Jakobson; B.Sc.(MIT), Ph.D.(Prin.) (William Dawson Scholar) |
| Vojkan Jaksic; B.S.(Belgrade), Ph.D.(Caltech) |
| Niky Kamran; B.Sc., M.Sc.(Brussels), Ph.D.(Wat.), F.R.S.C. (James 成人VR视频 Professor) |
| Olga Kharlampovich; M.A.(Ural State), Ph.D.(Leningrad), Dr.Sc.(Steklov Institute) |
| Michael Makkai; M.A., Ph.D.(Bud.) (Peter Redpath Professor of Pure Mathematics) |
| Charles Roth; M.Sc.(McG.), Ph.D.(Hebrew) |
| F. Bruce Shepherd; B.Sc.(Vic., Tor.), M.Sc., Ph.D.(Wat.) (James 成人VR视频 Professor) |
| David A. Stephens; B.Sc., Ph.D.(Nott.) |
| John A. Toth; B.Sc., M.Sc.(McM.), Ph.D.(MIT) (William Dawson Scholar) |
| Daniel T. Wise; B.A.(Yeshiva), Ph.D.(Prin.) |
| David Wolfson; M.Sc.(Natal), Ph.D.(Purd.) |
| JianJu Xu; B.Sc., M.Sc.(Beijing), M.Sc., Ph.D.(Renss.) |
| Associate Professors |
|---|
| Masoud Asgharian; B.Sc.(Shahid Beheshti), M.Sc., Ph.D.(McG.) |
| Peter Bartello; B.Sc.(Tor.), M.Sc., Ph.D.(McG.) (joint appoint. with Atmospheric and Oceanic Sciences) |
| Antony Humphries; B.A., M.A.(Camb.), Ph.D.(Bath) |
| Wilbur Jonsson; M.Sc.(Manit.), Dr.Rer.Nat.(T眉bingen) |
| Ivo Klemes; B.Sc.(Tor.), Ph.D.(Calif. Tech.) |
| James G. Loveys; B.A.(St. Mary's), M.Sc., Ph.D.(S. Fraser) |
| Neville G.F. Sancho; B.Sc., Ph.D.(Belf.) |
| Russell Steele; B.S., M.S.(Carn. Mell), Ph.D.(Wash.) |
| Alain Vandal; B.Sc., M.Sc.(McG.), Ph.D.(Auck.) |
| Adrian Vetta; B.Sc., M.Sc.(LSE), Ph.D.(MIT) (joint appoint. with Computer Science) |
| Assistant Professors |
|---|
| Louigi Addario-Berry; B.Sc., M.Sc., Ph.D.(McG.) |
| Jayce Getz; A.B.(Harv), Ph.D.(Wis.) |
| Abbas Khalili; B.S., M.S.(Esfahan), Ph.D.(Wat.) |
| Johanna Neslehova; Vor.Dip.(Prague), Dip.(Hamburg), Ph.D.(Oldenburg) |
| Gantumur Tsogtgerel; B.Sc.(Mongolia), M.Sc.(Netherlands), Ph.D.(Utrecht) |
| Associate Members |
|---|
| Xiao-Wen Chang (Computer Science) |
| Luc P. Devroye (Computer Science) |
| P.R.L. Dutilleul (Plant Science) |
| Eliot Fried (Mechanical Engineering) |
| Leon Glass (Physiology) |
| James A. Hanley (Epidemiology & Biostatistics) |
| Lawrence Joseph (Epidemiology & Biostatistics) |
| Michael Mackey (Physiology) |
| Lawrence A. Mysak (A.O.S.) |
| Christopher Conway Paige (Computer Science) |
| Prakash Panangaden (Computer Science) |
| Robert W. Platt (Pediatrics) |
| James O. Ramsay (Psychology) |
| George Alexander Whitmore (Management) |
| Christina Wolfson (Epidemiology & Biostatistics) |
| Adjunct Professors |
|---|
| Vasek Chvatal; M.A.(Charles U., Prague), Ph.D.(Wat.) |
| Donald A. Dawson; B.Sc., M.Sc.(McG.), Ph.D.(MIT) |
| Martin J. Gander; M.S.(ETH), M.S., Ph.D.(Stan.) |
| Andrew Granville; B.A., CASM(Camb.), Ph.D.(Qu.) |
| Adrian Iovita; B.S.(Buc.), Ph.D.(Boston) |
| Ming Mei; B.Sc., M.Sc.(Jiangxi Normal University), Ph.D.(Kanazawa) |
| Alexei Miasnikov; M.Sc.(Novosibirsk), Ph.D., Dr.Sc.(Leningrad) |
| M. Ram Murty; B.Sc.(Car.), Ph.D.(MIT), F.R.S.C. |
| Vladimir Remeslennikov; M.Sc.(Perm, Russia), Ph.D.(Novosibirsk) |
| Robert A. Seely; B.Sc.(McG.), Ph.D.(Cant.) |
| Thomas Wihler; M.S., Ph.D.(ETH) |
| Faculty Lecturers |
|---|
| Jose A. Correa; M.Sc.(Wat.), Ph.D.(Car.) |
| Axel Hundemer; M.Sc., Ph.D.(Munich) |
| Armel Djivede Kelome; M.Sc.(Benin), M.Sc.(McG.), Ph.D.(Georgia Tech.) |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Minor Mathematics (24 credits)
The Minor may be taken in conjunction with any primary program in the Faculty of Science (other than programs in Mathematics). Students should declare their intention to follow the Minor Mathematics at the beginning of the penultimate year and should obtain approval for the selection of courses to fulfil the requirements for the Minor from the Departmental Chief Adviser (or delegate).
It is strongly recommended that students in the Minor Program take MATH 323. The remaining credits may be freely chosen from the required and complementary courses for Majors and Honours students in Mathematics, with the obvious exception of courses that involve duplication of material. Alternatively, up to six credits may be allowed for appropriate courses from other departments.
Generally no more than six credits of overlap are permitted between the Minor and the primary program. However, with an approved choice of substantial courses the overlap restriction may be relaxed to nine credits for students whose primary program requires 60 credits or more and to 12 credits when the primary program requires 72 credits or more.
Complementary Courses (15 credits)
15 credits selected from the required and complementary courses for Majors and Honours students in Mathematics, with MATH 323 strongly recommended; alternatively, up to 6 credits may be allowed for appropriate courses from other departments.
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Minor Statistics (24 credits)
The Minor may be taken in conjunction with any primary program in the Faculty of Science. Students should declare their intention to follow the Minor Statistics at the beginning of the penultimate year and must obtain approval for the selection of courses to fulfil the requirements for the Minor from the Departmental Chief Adviser (or delegate).
All courses counted towards the Minor must be passed with a grade of C or better. Generally no more than six credits of overlap are permitted between the Minor and the primary program. However, with an approved choice of substantial courses the overlap restriction may be relaxed to nine credits for students whose primary program requires 60 credits or more and to 12 credits when the primary program requires 72 credits or more.
Complementary Courses (9 credits)
9 credits selected from:
| CHEM 593 | (3) | Statistical Mechanics |
| GEOG 351 | (3) | Quantitative Methods |
| MATH 447 | (3) | Stochastic Processes |
| MATH 523 | (4) | Generalized Linear Models |
| MATH 525 | (4) | Sampling Theory and Applications |
| MATH 556 | (4) | Mathematical Statistics 1 |
| MATH 557 | (4) | Mathematical Statistics 2 |
| PHYS 362 | (3) | Statistical Mechanics |
| PHYS 559 | (3) | Advanced Statistical Mechanics |
| SOCI 504 | (3) | Quantitative Methods 1 |
| SOCI 505 | (3) | Quantitative Methods 2 |
No more than 6 credits may be taken outside the Department of Mathematics and Statistics.
Further credits (if needed) may be freely chosen from the required and complementary courses for Majors and Honours students in Mathematics, with the obvious exception of courses that involve duplication of material.
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Liberal Program - Core Science Component Mathematics (45 credits)
Program Prerequisites
Students entering the Core Science Component in Mathematics 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 45 credits required for the program.
| MATH 133 | (3) | Linear Algebra and Geometry |
| MATH 140 | (3) | Calculus 1 |
| MATH 141 | (4) | Calculus 2 |
Guidelines for Selection of Courses
The following informal guidelines should be discussed with the student's adviser. Where appropriate, Honours courses may be substituted for equivalent Major courses. Students planning to pursue graduate studies are encouraged to make such substitutions.
Students interested in computer science are advised to choose courses from the following: MATH 317, MATH 318, MATH 327, MATH 328, MATH 335, MATH 340, MATH 407, MATH 417 and to complete the Computer Science Minor.
Students interested in probability and statistics are advised to take MATH 204, MATH 324, MATH 407, MATH 423, MATH 447, MATH 523, MATH 525.
Students interested in applied mathematics should take MATH 317, MATH 319, MATH 324, MATH 326, MATH 327, MATH 407, MATH 417.
Students considering a career in secondary school teaching are advised to take MATH 318, MATH 328, MATH 338, MATH 339, MATH 346, MATH 348.
Students interested in careers in business, industry or government are advised to select courses from the following list:
MATH 317, MATH 319, MATH 327, MATH 329, MATH 407, MATH 417, MATH 423, MATH 430, MATH 447, MATH 523, MATH 525.
Required Courses (27 credits)
* Students may select either MATH 249 or MATH 316 but not both.
** Students who have successfully completed a course equivalent to MATH 222 with a grade of C or better may omit MATH 222, but must replace it with three credits of elective courses.
| MATH 222** | (3) | Calculus 3 |
| MATH 235 | (3) | Algebra 1 |
| MATH 236 | (3) | Algebra 2 |
| MATH 242 | (3) | Analysis 1 |
| MATH 243 | (3) | Analysis 2 |
| MATH 249* | (3) | Honours Complex Variables |
| MATH 314 | (3) | Advanced Calculus |
| MATH 315 | (3) | Ordinary Differential Equations |
| MATH 316* | (3) | Complex Variables |
| MATH 323 | (3) | Probability |
the remainder of the 18 credits to be selected from:
| MATH 204 | (3) | Principles of Statistics 2 |
| MATH 318 | (3) | Mathematical Logic |
| MATH 319 | (3) | Introduction to Partial Differential Equations |
| MATH 320 | (3) | Differential Geometry |
| MATH 326 | (3) | Nonlinear Dynamics and Chaos |
| MATH 327 | (3) | Matrix Numerical Analysis |
| MATH 328 | (3) | Computability and Mathematical Linguistics |
| MATH 329 | (3) | Theory of Interest |
| MATH 338 | (3) | History and Philosophy of Mathematics |
| MATH 339 | (3) | Foundations of Mathematics |
| MATH 346 | (3) | Number Theory |
| MATH 348 | (3) | Topics in Geometry |
| MATH 352 | (1) | Problem Seminar |
| MATH 407 | (3) | Dynamic Programming |
| MATH 410 | (3) | Majors Project |
| MATH 417 | (3) | Mathematical Programming |
| MATH 423 | (3) | Regression and Analysis of Variance |
| MATH 430 | (3) | Mathematical Finance |
| MATH 447 | (3) | Stochastic Processes |
| MATH 523 | (4) | Generalized Linear Models |
| MATH 524 | (4) | Nonparametric Statistics |
| MATH 525 | (4) | Sampling Theory and Applications |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Liberal Program - Core Science Component Statistics (45 credits)
Program Prerequisites
Students entering the Core Science Component in Statistics 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 45 credits required for the program.
| MATH 133 | (3) | Linear Algebra and Geometry |
| MATH 140 | (3) | Calculus 1 |
| MATH 141 | (4) | Calculus 2 |
Required Courses (27 credits)
* Students who have successfully completed a course equivalent to MATH 222 with a grade of C or better may omit MATH 222, but must replace it with three credits of elective courses.
| MATH 222* | (3) | Calculus 3 |
| MATH 235 | (3) | Algebra 1 |
| MATH 236 | (3) | Algebra 2 |
| MATH 242 | (3) | Analysis 1 |
| MATH 243 | (3) | Analysis 2 |
| MATH 314 | (3) | Advanced Calculus |
| MATH 323 | (3) | Probability |
| MATH 324 | (3) | Statistics |
| MATH 423 | (3) | Regression and Analysis of Variance |
18 credits selected from the following list, with at least 6 credits selected from:
* Students may take either MATH 316 or MATH 249, but not both.
| MATH 249* | (3) | Honours Complex Variables |
| MATH 315 | (3) | Ordinary Differential Equations |
| MATH 316* | (3) | Complex Variables |
| MATH 317 | (3) | Numerical Analysis |
| MATH 335 | (3) | Computational Algebra |
| MATH 340 | (3) | Discrete Structures 2 |
the remainder of the 18 credits to be selected from:
| MATH 204 | (3) | Principles of Statistics 2 |
| MATH 318 | (3) | Mathematical Logic |
| MATH 319 | (3) | Introduction to Partial Differential Equations |
| MATH 320 | (3) | Differential Geometry |
| MATH 326 | (3) | Nonlinear Dynamics and Chaos |
| MATH 327 | (3) | Matrix Numerical Analysis |
| MATH 328 | (3) | Computability and Mathematical Linguistics |
| MATH 329 | (3) | Theory of Interest |
| MATH 338 | (3) | History and Philosophy of Mathematics |
| MATH 339 | (3) | Foundations of Mathematics |
| MATH 346 | (3) | Number Theory |
| MATH 348 | (3) | Topics in Geometry |
| MATH 352 | (1) | Problem Seminar |
| MATH 407 | (3) | Dynamic Programming |
| MATH 410 | (3) | Majors Project |
| MATH 417 | (3) | Mathematical Programming |
| MATH 430 | (3) | Mathematical Finance |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - 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 of required courses.
| MATH 133 | (3) | Linear Algebra and Geometry |
| MATH 140 | (3) | Calculus 1 |
| MATH 141 | (4) | Calculus 2 |
Guidelines for Selection of Courses in the Major Program
The following informal guidelines should be discussed with the student's adviser. Where appropriate, Honours courses may be substituted for equivalent Major courses. Students planning to pursue graduate studies are encouraged to make such substitutions.
Students interested in computer science are advised to choose courses from the following: MATH 317, MATH 318, MATH 327, MATH 328, MATH 335, MATH 340, MATH 407, MATH 417 and to complete the Computer Science Minor.
Students interested in probability and statistics are advised to take MATH 204, MATH 324, MATH 407, MATH 423, MATH 447, MATH 523, MATH 525.
Students interested in applied mathematics should take MATH 317, MATH 319, MATH 324, MATH 326, MATH 327, MATH 407, MATH 417.
Students considering a career in secondary school teaching are advised to take MATH 318, MATH 328, MATH 338, MATH 339, MATH 346, MATH 348.
Students interested in careers in business, industry or government are advised to select courses from the following list:
MATH 317, MATH 319, MATH 327, MATH 329, MATH 407, MATH 417, MATH 423, MATH 430, MATH 447, MATH 523, MATH 525.
Required Courses (27 credits)
Note: Students who have done well in MATH 235 and MATH 242 should consider entering the Honours stream by registering in MATH 251 and MATH 255 instead of MATH 236 and MATH 243.
* Students may select either MATH 249 or MATH 316 but not both.
** Students who have successfully completed a course equivalent to MATH 222 with a grade of C or better may omit MATH 222, but must replace it with three credits of elective courses.
| MATH 222** | (3) | Calculus 3 |
| MATH 235 | (3) | Algebra 1 |
| MATH 236 | (3) | Algebra 2 |
| MATH 242 | (3) | Analysis 1 |
| MATH 243 | (3) | Analysis 2 |
| MATH 249* | (3) | Honours Complex Variables |
| MATH 314 | (3) | Advanced Calculus |
| MATH 315 | (3) | Ordinary Differential Equations |
| MATH 316* | (3) | Complex Variables |
| MATH 323 | (3) | Probability |
the remainder of the 21 credits to be selected from:
| MATH 204 | (3) | Principles of Statistics 2 |
| MATH 318 | (3) | Mathematical Logic |
| MATH 319 | (3) | Introduction to Partial Differential Equations |
| MATH 320 | (3) | Differential Geometry |
| MATH 326 | (3) | Nonlinear Dynamics and Chaos |
| MATH 327 | (3) | Matrix Numerical Analysis |
| MATH 328 | (3) | Computability and Mathematical Linguistics |
| MATH 329 | (3) | Theory of Interest |
| MATH 338 | (3) | History and Philosophy of Mathematics |
| MATH 339 | (3) | Foundations of Mathematics |
| MATH 346 | (3) | Number Theory |
| MATH 348 | (3) | Topics in Geometry |
| MATH 352 | (1) | Problem Seminar |
| MATH 407 | (3) | Dynamic Programming |
| MATH 410 | (3) | Majors Project |
| MATH 417 | (3) | Mathematical Programming |
| MATH 423 | (3) | Regression and Analysis of Variance |
| MATH 430 | (3) | Mathematical Finance |
| MATH 447 | (3) | Stochastic Processes |
| MATH 523 | (4) | Generalized Linear Models |
| MATH 525 | (4) | Sampling Theory and Applications |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Major Mathematics and Computer Science (72 credits)
Program Prerequisites
Students entering the Joint Major in Mathematics and Computer Science 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 72 credits of courses in the program specification.
| MATH 133 | (3) | Linear Algebra and Geometry |
| MATH 140 | (3) | Calculus 1 |
| MATH 141 | (4) | Calculus 2 |
Required Courses (54 credits)
* Students who have sufficient knowledge in a programming language do not need to take COMP 202 but can replace it with an additional Computer Science complementary course.
| COMP 202* | (3) | Introduction to Computing 1 |
| COMP 206 | (3) | Introduction to Software Systems |
| COMP 250 | (3) | Introduction to Computer Science |
| COMP 251 | (3) | Data Structures and Algorithms |
| COMP 273 | (3) | Introduction to Computer Systems |
| COMP 302 | (3) | Programming Languages and Paradigms |
| COMP 310 | (3) | Operating Systems |
| COMP 330 | (3) | Theoretical Aspects: Computer Science |
| COMP 360 | (3) | Algorithm Design Techniques |
| MATH 222 | (3) | Calculus 3 |
| MATH 235 | (3) | Algebra 1 |
| MATH 236 | (3) | Algebra 2 |
| MATH 242 | (3) | Analysis 1 |
| MATH 315 | (3) | Ordinary Differential Equations |
| MATH 317 | (3) | Numerical Analysis |
| MATH 318 | (3) | Mathematical Logic |
| MATH 323 | (3) | Probability |
| MATH 340 | (3) | Discrete Structures 2 |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Major Statistics and Computer Science (72 credits)
This program provides students with a solid training in both computer science and statistics together with the necessary mathematical background. As statistical endeavours involve ever increasing amounts of data, some students may want training in both disciplines.
Program Prerequisites
Students entering the Joint Major in Statistics and Computer Science 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 72 credits of required courses.
| MATH 133 | (3) | Linear Algebra and Geometry |
| MATH 140 | (3) | Calculus 1 |
| MATH 141 | (4) | Calculus 2 |
Required Courses (51 credits)
* Students who have sufficient knowledge in a programming language do not need to take COMP 202 but can replace it with an additional Computer Science complementary course.
** Students take either COMP 350 or MATH 317, but not both.
*** Students take either MATH 223 or MATH 236, but not both.
| COMP 202* | (3) | Introduction to Computing 1 |
| COMP 206 | (3) | Introduction to Software Systems |
| COMP 250 | (3) | Introduction to Computer Science |
| COMP 251 | (3) | Data Structures and Algorithms |
| COMP 273 | (3) | Introduction to Computer Systems |
| COMP 302 | (3) | Programming Languages and Paradigms |
| COMP 330 | (3) | Theoretical Aspects: Computer Science |
| COMP 350** | (3) | Numerical Computing |
| COMP 360 | (3) | Algorithm Design Techniques |
| MATH 222 | (3) | Calculus 3 |
| MATH 223*** | (3) | Linear Algebra |
| MATH 235 | (3) | Algebra 1 |
| MATH 236*** | (3) | Algebra 2 |
| MATH 242 | (3) | Analysis 1 |
| MATH 314 | (3) | Advanced Calculus |
| MATH 317** | (3) | Numerical Analysis |
| MATH 323 | (3) | Probability |
| MATH 324 | (3) | Statistics |
| MATH 423 | (3) | Regression and Analysis of Variance |
12 credits in Mathematics selected from:
* Students take either MATH 340 or MATH 350, but not both.
** MATH 578 and COMP 540 cannot both be taken for program credit.
| MATH 327 | (3) | Matrix Numerical Analysis |
| MATH 340* | (3) | Discrete Structures 2 |
| MATH 350* | (3) | Graph Theory and Combinatorics |
| MATH 352 | (1) | Problem Seminar |
| MATH 410 | (3) | Majors Project |
| MATH 447 | (3) | Stochastic Processes |
| MATH 523 | (4) | Generalized Linear Models |
| MATH 524 | (4) | Nonparametric Statistics |
| MATH 525 | (4) | Sampling Theory and Applications |
| MATH 578** | (4) | Numerical Analysis 1 |
9 credits in Computer Science selected as follows:
At least 6 credits selected from:
| COMP 423 | (3) | Data Compression |
| COMP 424 | (3) | Artificial Intelligence |
| COMP 462 | (3) | Computational Biology Methods |
| COMP 490 | (3) | Introduction to Probabilistic Analysis of Algorithms |
| COMP 526 | (3) | Probabilistic Reasoning and AI |
| COMP 540** | (3) | Matrix Computations |
| COMP 547 | (4) | Cryptography and Data Security |
| COMP 564 | (3) | Computational Gene Regulation |
| COMP 566 | (3) | Discrete Optimization 1 |
| COMP 567 | (3) | Discrete Optimization 2 |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Honours Mathematics (60 credits)
Program Prerequisites
The minimum requirement for entry into the Honours program is that the student has completed with high standing the following courses below or their equivalents. In addition, a student who has not completed the equivalent of MATH 222 must take it in the first term without receiving credits, towards the credits required in the Honours program.
Students who transfer to Honours in Mathematics from other programs will have credits for previous courses assigned, as appropriate, by the Department.
To remain in an Honours program and to be awarded the Honours degree, the student must maintain a 3.00 GPA in the required and complementary Mathematics courses of the program, as well as an overall CGPA of 3.00.
| MATH 133 | (3) | Linear Algebra and Geometry |
| MATH 140 | (3) | Calculus 1 |
| MATH 141 | (4) | Calculus 2 |
Required Courses (48 credits)
* MATH 314 may be substituted for MATH 248 if MATH 222 had to be taken in the Fall.
| MATH 235 | (3) | Algebra 1 |
| MATH 242 | (3) | Analysis 1 |
| MATH 248* | (3) | Honours Advanced Calculus |
| MATH 251 | (3) | Honours Algebra 2 |
| MATH 255 | (3) | Honours Analysis 2 |
| MATH 325 | (3) | Honours Ordinary Differential Equations |
| MATH 354 | (3) | Honours Analysis 3 |
| MATH 355 | (3) | Honours Analysis 4 |
| MATH 356 | (3) | Honours Probability |
| MATH 357 | (3) | Honours Statistics |
| MATH 366 | (3) | Honours Complex Analysis |
| MATH 370 | (3) | Honours Algebra 3 |
| MATH 371 | (3) | Honours Algebra 4 |
| MATH 375 | (3) | Honours Partial Differential Equations |
| MATH 380 | (3) | Honours Differential Geometry |
| MATH 470 | (3) | Honours Research Project |
Complementary Courses (12 credits)
12 credits selected from:
| MATH 350 | (3) | Graph Theory and Combinatorics |
| MATH 352 | (1) | Problem Seminar |
| MATH 376 | (3) | Honours Nonlinear Dynamics |
| MATH 377 | (3) | Honours Number Theory |
| MATH 387 | (3) | Honours Numerical Analysis |
| MATH 397 | (3) | Honours Matrix Numerical Analysis |
| MATH 480 | (3) | Honours Independent Study |
| MATH 487 | (3) | Honours Mathematical Programming |
| MATH 488 | (3) | Honours Set Theory |
all MATH 500-level courses.
no more than 6 credits from the following courses for which no Honours equivalent exists:
| MATH 204 | (3) | Principles of Statistics 2 |
| MATH 329 | (3) | Theory of Interest |
| MATH 338 | (3) | History and Philosophy of Mathematics |
| MATH 339 | (3) | Foundations of Mathematics |
| MATH 348 | (3) | Topics in Geometry |
| MATH 407 | (3) | Dynamic Programming |
| MATH 437 | (3) | Mathematical Methods in Biology |
| MATH 447 | (3) | Stochastic Processes |
Students may select other courses with the permission of the Department.
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Honours Applied Mathematics (60 credits)
Applied mathematics is a very broad field and students are encouraged to choose a coherent program of complementary courses. Most students specialize in "continuous" or "discrete" applied mathematics, but there are many sensible combinations of courses, and the following informal guidelines should be discussed with the student's advisor. Also, aside from seeking to develop a sound basis in Applied Mathematics, one of the objectives of the program is to kindle the students' interest in possible areas of application. To develop an appreciation of the diversity of Applied Mathematics, students are advised to develop some depth (e.g. by completing a minor) in a field related to Applied Mathematics such as Atmospheric and Oceanic Sciences, Biology, Biochemistry, Chemistry, Computer Science, Earth and Planetary Sciences, Economics, Engineering, Management, Physics, Physiology and Psychology.
Required Courses (42 credits)
* COMP 250 may be preceded by COMP 202.
| COMP 250* | (3) | Introduction to Computer Science |
| COMP 252 | (3) | Algorithms and Data Structures |
| MATH 235 | (3) | Algebra 1 |
| MATH 242 | (3) | Analysis 1 |
| MATH 248 | (3) | Honours Advanced Calculus |
| MATH 251 | (3) | Honours Algebra 2 |
| MATH 255 | (3) | Honours Analysis 2 |
| MATH 325 | (3) | Honours Ordinary Differential Equations |
| MATH 350 | (3) | Graph Theory and Combinatorics |
| MATH 356 | (3) | Honours Probability |
| MATH 357 | (3) | Honours Statistics |
| MATH 375 | (3) | Honours Partial Differential Equations |
| MATH 376 | (3) | Honours Nonlinear Dynamics |
| MATH 470 | (3) | Honours Research Project |
Complementary Courses (18 credits)
Advising Notes:
Students interested in continuous applied mathematics are urged to choose these as part of their Complementary Courses: MATH 354 and MATH 355 and are advised to choose additional courses from MATH 387, MATH 397, MATH 555, MATH 560, MATH 574, MATH 578, MATH 579, MATH 580, MATH 581.
Students interested in discrete applied mathematics are advised to choose from these as part of their Complementary Courses: COMP 362, COMP 490, MATH 370, MATH 371, MATH 407, MATH 447, MATH 487, MATH 550, MATH 552, MATH 560.
and the remainder of credits selected from:
| COMP 362 | (3) | Honours Algorithm Design |
| COMP 490 | (3) | Introduction to Probabilistic Analysis of Algorithms |
| MATH 352 | (1) | Problem Seminar |
| MATH 354 | (3) | Honours Analysis 3 |
| MATH 355 | (3) | Honours Analysis 4 |
| MATH 370 | (3) | Honours Algebra 3 |
| MATH 371 | (3) | Honours Algebra 4 |
| MATH 377 | (3) | Honours Number Theory |
| MATH 380 | (3) | Honours Differential Geometry |
| MATH 480 | (3) | Honours Independent Study |
| MATH 487 | (3) | Honours Mathematical Programming |
| MATH 488 | (3) | Honours Set Theory |
| MATH 490 | (3) | Honours Mathematics of Finance |
All MATH 500-level courses.
No more than 6 credits from the following courses for which no Honours equivalent exists:
| MATH 204 | (3) | Principles of Statistics 2 |
| MATH 329 | (3) | Theory of Interest |
| MATH 338 | (3) | History and Philosophy of Mathematics |
| MATH 339 | (3) | Foundations of Mathematics |
| MATH 348 | (3) | Topics in Geometry |
| MATH 407 | (3) | Dynamic Programming |
| MATH 437 | (3) | Mathematical Methods in Biology |
| MATH 447 | (3) | Stochastic Processes |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Honours Probability and Statistics (64 credits)
Required Courses (49 credits)
* COMP 250 may be preceded by COMP 202.
** Students select either MATH 251 or MATH 247, but not both.
| COMP 250* | (3) | Introduction to Computer Science |
| MATH 235 | (3) | Algebra 1 |
| MATH 242 | (3) | Analysis 1 |
| MATH 247** | (3) | Honours Applied Linear Algebra |
| MATH 248 | (3) | Honours Advanced Calculus |
| MATH 251** | (3) | Honours Algebra 2 |
| MATH 255 | (3) | Honours Analysis 2 |
| MATH 354 | (3) | Honours Analysis 3 |
| MATH 355 | (3) | Honours Analysis 4 |
| MATH 356 | (3) | Honours Probability |
| MATH 357 | (3) | Honours Statistics |
| MATH 470 | (3) | Honours Research Project |
| MATH 523 | (4) | Generalized Linear Models |
| MATH 533 | (4) | Honours Regression and Analysis of Variance |
| MATH 556 | (4) | Mathematical Statistics 1 |
| MATH 557 | (4) | Mathematical Statistics 2 |
selected from:
| MATH 325 | (3) | Honours Ordinary Differential Equations |
| MATH 350 | (3) | Graph Theory and Combinatorics |
| MATH 352 | (1) | Problem Seminar |
| MATH 366 | (3) | Honours Complex Analysis |
| MATH 375 | (3) | Honours Partial Differential Equations |
| MATH 380 | (3) | Honours Differential Geometry |
| MATH 387 | (3) | Honours Numerical Analysis |
| MATH 397 | (3) | Honours Matrix Numerical Analysis |
| MATH 480 | (3) | Honours Independent Study |
| MATH 490 | (3) | Honours Mathematics of Finance |
| MATH 524 | (4) | Nonparametric Statistics |
| MATH 525 | (4) | Sampling Theory and Applications |
| MATH 550 | (4) | Combinatorics |
| MATH 587 | (4) | Advanced Probability Theory 1 |
| MATH 589 | (4) | Advanced Probability Theory 2 |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Honours Mathematics and Computer Science (75 credits)
Students may complete this program with a minimum of 72 credits or a maximum of 75 credits depending on whether or not they are exempt from taking COMP 202.
Program Prerequisites
Students must consult an Honours adviser in both departments. Students entering the Joint Honours in Mathematics and Computer Science 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 72 - 75 credits of courses in the program.
| MATH 133 | (3) | Linear Algebra and Geometry |
| MATH 140 | (3) | Calculus 1 |
| MATH 141 | (4) | Calculus 2 |
Required Courses (45 credits)
* Students who have sufficient knowledge in a programming language are not required to take COMP 202.
| COMP 202* | (3) | Introduction to Computing 1 |
| COMP 206 | (3) | Introduction to Software Systems |
| COMP 250 | (3) | Introduction to Computer Science |
| COMP 252 | (3) | Algorithms and Data Structures |
| COMP 273 | (3) | Introduction to Computer Systems |
| COMP 302 | (3) | Programming Languages and Paradigms |
| COMP 310 | (3) | Operating Systems |
| COMP 330 | (3) | Theoretical Aspects: Computer Science |
| COMP 362 | (3) | Honours Algorithm Design |
| MATH 235 | (3) | Algebra 1 |
| MATH 242 | (3) | Analysis 1 |
| MATH 248 | (3) | Honours Advanced Calculus |
| MATH 251 | (3) | Honours Algebra 2 |
| MATH 255 | (3) | Honours Analysis 2 |
| MATH 350 | (3) | Graph Theory and Combinatorics |
18 credits in Mathematics, at least 12 credits selected from:
* Students with appropriate background in probability may substitute MATH 587 for MATH 356 and must then also register for MATH 355.
| MATH 354 | (3) | Honours Analysis 3 |
| MATH 355 | (3) | Honours Analysis 4 |
| MATH 356* | (3) | Honours Probability |
| MATH 370 | (3) | Honours Algebra 3 |
| MATH 371 | (3) | Honours Algebra 4 |
| MATH 387 | (3) | Honours Numerical Analysis |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Bachelor of Science (B.Sc.) - Honours Statistics and Computer Science (79 credits)
This is a challenging program providing students with a solid training in both computer science and statistics suitable for entry into graduate school in either discipline.
Students may complete this program with a minimum of 76 credits or a maximum of 79 credits depending on whether or not they are exempt from taking COMP 202.
Program Prerequisites
Students entering the Joint Honours in Statistics and Computer Science 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 76 - 79 credits of courses in the program.
| MATH 133 | (3) | Linear Algebra and Geometry |
| MATH 140 | (3) | Calculus 1 |
| MATH 141 | (4) | Calculus 2 |
Required Courses (49 credits)
* Students who have sufficient knowledge in a programming language are not required to take COMP 202.
** Students take either MATH 251 or MATH 247, but not both.
| COMP 202* | (3) | Introduction to Computing 1 |
| COMP 206 | (3) | Introduction to Software Systems |
| COMP 250 | (3) | Introduction to Computer Science |
| COMP 252 | (3) | Algorithms and Data Structures |
| COMP 273 | (3) | Introduction to Computer Systems |
| COMP 302 | (3) | Programming Languages and Paradigms |
| COMP 330 | (3) | Theoretical Aspects: Computer Science |
| COMP 362 | (3) | Honours Algorithm Design |
| MATH 235 | (3) | Algebra 1 |
| MATH 242 | (3) | Analysis 1 |
| MATH 247** | (3) | Honours Applied Linear Algebra |
| MATH 248 | (3) | Honours Advanced Calculus |
| MATH 251** | (3) | Honours Algebra 2 |
| MATH 255 | (3) | Honours Analysis 2 |
| MATH 356 | (3) | Honours Probability |
| MATH 357 | (3) | Honours Statistics |
| MATH 533 | (4) | Honours Regression and Analysis of Variance |
At least 6 credits selected from:
| COMP 423 | (3) | Data Compression |
| COMP 424 | (3) | Artificial Intelligence |
| COMP 462 | (3) | Computational Biology Methods |
| COMP 490 | (3) | Introduction to Probabilistic Analysis of Algorithms |
| COMP 526 | (3) | Probabilistic Reasoning and AI |
| COMP 540** | (3) | Matrix Computations |
| COMP 547 | (4) | Cryptography and Data Security |
| COMP 552 | (4) | Combinatorial Optimization |
| COMP 564 | (3) | Computational Gene Regulation |
| COMP 566 | (3) | Discrete Optimization 1 |
| COMP 567 | (3) | Discrete Optimization 2 |
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Mathematics and Statistics (MATH) Related Programs
Mathematics and Statistics (MATH) Related Programs
Joint Major in Biology and Mathematics
Joint Major in Biology and Mathematics
For more information, see Biology (BIOL) > Bachelor of Science (B.Sc.) - Major Biology and Mathematics (76 credits).
Joint Major in Physiology and Mathematics
Joint Major in Physiology and Mathematics
For more information, see Physiology (PHGY) > Bachelor of Science (B.Sc.) - Major Physiology and Mathematics (77 credits).
Joint Honours Program in Mathematics and Physics
Joint Honours Program in Mathematics and Physics
For more information, see Physics (PHYS) > Bachelor of Science (B.Sc.) - Honours Mathematics and Physics (81 credits).
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)
Faculty:
Faculty of Science—2010-2011 (last updated Apr. 22, 2010) (disclaimer)