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Mathematics and Statistics
Mathematics is a fascinating and tremendously valuable subject that permeates every level of our knowledge and the development of the world we live in. Its contributions make all the other sciences, both theoretical and applied, possible and it stands as our most fundamental discipline. The advent of fast computers has given mathematicians a new tool to solve complex problems and in turn, as most new fields do, has generated a whole new set of problems.
The Department of Mathematics and Statistics offers several three-year concentration and four-year honours programs, namely the BSc in mathematics, the BSc in mathematics-science, the BSc in mathematics-science (co-operative option), and the BA in mathematics (see the Faculty of Arts calendar for details). In 1995, co-operative BA in mathematics and a BSc - BEd program in French were introduced. Other combinations are also possible: the BSc physics-mathematics or the BSocSc with concentration in mathematics and in social sciences.
All of these programs include a core of mathematics courses that the student can then complement with courses in fields ranging from physics or computer science to linguistics, geography or economics. In 1980, the Department of Mathematics set up the first co-operative education program of the University of Ottawa; this program and all the other co-op programs have been very successful in placing students.
It is possible to obtain simultaneously a BSc with honours in mathematics-science and a BSc with concentration in computer science (double specification program). It is also possible to obtain a joint honours BSc in mathematics and economics. You will find the detailed programs below showing how they can be completed in four years. Other courses can be chosen, provided that the requirements of both degrees are satisfied, but the number of credits could increase.
It is also possible to satisfy the admission requirements of the Faculty of Medicine within the requirements of a BSc in mathematics-science.
As a student of mathematics you will have access to a wide selection of possible careers; our graduates have always been very successful on the job market or in graduate school. Some of them work as statisticians, teachers, actuaries, cryptographers, administrators, consultants, in remote sensing, or at different levels of the high technology industry.
It is possible to fulfill the mathematics degree requirements entirely in one or the other official language of the University. A large number of courses are available in the evening or during the spring/summer session.
|
| |
BSc with concentration in Mathematics | 90 |
|
| Suggested course stream for full-time students |
|
| |
| Compulsory first-year courses: | 32 |
| |
| Fall: | |
| CSI1100 | Introduction to Computer Science I | 4 |
| MAT1320 | Calculus I | 3 |
| MAT1341 | Introduction to Linear Algebra | 3 |
| |
| PHY1101 | Fundamentals of Physics I | 3 |
| or | |
| PHY1301 | Principles of Physics I | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| (The course PHY1201, that runs from September to April, is strongly recommended) | |
| |
| Winter: | |
| CSI1101 | Introduction to Computer Science II | 4 |
| ENG1100 | Workshop in Essay Writing | 3 |
| MAT1322 | Calculus II | 3 |
| |
| PHY1102 | Fundamentals of Physics II | 3 |
| or | |
| PHY1302 | Principles of Physics II | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Compulsory second-year courses: | 28 |
| |
| Fall: | |
| MAT2122 | Calculus III | 3 |
| |
| MAT2141 | Honours Linear Algebra I | 3 |
| or | |
| MAT2341 | Linear Algebra | 3 |
| |
| MAT2371 | Introduction to Probability | 3 |
| |
| MAT2324 | Ordinary Differential Equations and Laplace Transformation | 3 |
| or | |
| MAT2331 | Ordinary Differential Equations and Numerical Methods | 4 |
| |
| CSI2114 | Data Structures | 3 |
| |
| Winter: | |
| MAT2375 | Introduction to Statistics | 3 |
| |
| MAT2143 | Group Theory and Applications | 3 |
| or | |
| MAT2343 | Elements of Discrete Mathematics | 3 |
| |
| CSI2165 | Prolog Concepts Laboratory | 2 |
| or | |
| CSI2172 | C++ Concepts Laboratory | 2 |
| or | |
| CSI2173 | Java Concepts Laboratory | 2 |
| |
| Two credits from the Faculties of Science or Engineering | 2 |
| |
| Three credits from the Faculties of Arts, Education, Law, Social Sciences or the School of Management. | 3 |
| |
| Other compulsory courses: | 30 |
| |
| Six credits of science or engineering ath the 2000-level or above. | 6 |
| |
| Eighteen credits from: MAT 2125, MAT 2143 or MAT 3000-level or above. | 18 |
| |
| Six credits from the Faculties of Arts, Education, Law, Social Sciences or the School of Management. | 6 |
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|
| |
Honours BSc in Mathematics | 120 |
|
| Suggested course stream for full-time students |
|
| |
| Compulsory first-year courses: | 32 |
| |
| Fall: | |
| CSI1100 | Introduction to Computer Science I | 4 |
| MAT1320 | Calculus I | 3 |
| MAT1341 | Introduction to Linear Algebra | 3 |
| |
| PHY1101 | Fundamentals of Physics I | 3 |
| or | |
| PHY1301 | Principles of Physics I | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| (The course PHY1201, that runs from September to April, is strongly recommended.) | |
| |
| Winter: | |
| CSI1101 | Introduction to Computer Science II | 4 |
| ENG1100 | Workshop in Essay Writing | 3 |
| MAT1322 | Calculus II | 3 |
| |
| PHY1102 | Fundamentals of Physics II | 3 |
| or | |
| PHY1302 | Principles of Physics II | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Compulsory second-year courses: | 29 |
| |
| Fall: | |
| MAT2122 | Calculus III | 3 |
| MAT2141 | Honours Linear Algebra I | 3 |
| MAT2371 | Introduction to Probability | 3 |
| |
| MAT2324 | Ordinary Differential Equations and Laplace Transformation | 3 |
| or | |
| MAT2331 | Ordinary Differential Equations and Numerical Methods | 4 |
| |
| CSI2114 | Data Structures | 3 |
| |
| Winter: | |
| MAT2125 | Mathematical Analysis I | 3 |
| MAT2375 | Introduction to Statistics | 3 |
| MAT2143 | Group Theory and Applications | 3 |
| |
| CSI2165 | Prolog Concepts Laboratory | 2 |
| or | |
| CSI2172 | C++ Concepts Laboratory | 2 |
| or | |
| CSI2173 | Java Concepts Laboratory | 2 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Third and fourth-year courses | 59 |
| |
| Twenty-one credits from: | 21 |
| MAT2343 | Elements of Discrete Mathematics | 3 |
| MAT2355 | Introduction to Geometry | 3 |
| MAT3121 | Complex Analysis I | 3 |
| MAT3125 | Mathematical Analysis II | 3 |
| MAT3130 | Introduction to Dynamical Systems | 3 |
| MAT3141 | Honours Linear Algebra II | 3 |
| MAT3143 | Ring Theory and Applications | 3 |
| MAT3153 | Introduction to Topology | 3 |
| MAT3166 | Introduction to Number Theory | 3 |
| MAT3172 | Probability II | 3 |
| MAT3175 | Introduction to Mathematical Statistics | 3 |
| MAT3341 | Applied Linear Algebra | 3 |
| MAT3343 | Applied Algebra | 3 |
| MAT3344 | Discrete Mathematics | 3 |
| MAT3361 | Introduction to Mathematical Logic | 3 |
| MAT3375 | Regression Analysis | 3 |
| MAT3376 | Analysis of Variance | 3 |
| MAT3377 | Sampling and Surveys | 3 |
| MAT3380 | Introduction to Numerical Methods | 3 |
| |
| Eleven credits of science or engineering at the 2000 level or above. | 11 |
| |
| Six credits of MAT at the 3000 level or above. | 6 |
| |
| Twelve credits of MAT at the 4000 level or from MAT 3121, 3125, 3130, 3141, 3143 not used to satisfy the previous requirements. | 12 |
| |
| Nine credits from the Faculties of Arts, Education, Law, Social Science or the School of Management | 9 |
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|
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BSc with concentration in Mathematics-Science | 90 |
|
| Suggested course stream for full-time students |
|
| |
| Compulsory first-year courses: | 32 |
| |
| Fall: | |
| CSI1100 | Introduction to Computer Science I | 4 |
| MAT1320 | Calculus I | 3 |
| MAT1341 | Introduction to Linear Algebra | 3 |
| |
| PHY1101 | Fundamentals of Physics I | 3 |
| or | |
| PHY1301 | Principles of Physics I | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| (The course PHY1201, that runs from September to April, is strongly recommended) | |
| |
| Winter: | |
| CSI1101 | Introduction to Computer Science II | 4 |
| ENG1100 | Workshop in Essay Writing | 3 |
| MAT1322 | Calculus II | 3 |
| |
| PHY1102 | Fundamentals of Physics II | 3 |
| or | |
| PHY1302 | Principles of Physics II | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Compulsory second-year courses: | 28 |
| |
| Fall: | |
| MAT2122 | Calculus III | 3 |
| |
| MAT2141 | Honours Linear Algebra I | 3 |
| or | |
| MAT2341 | Linear Algebra | 3 |
| |
| MAT2371 | Introduction to Probability | 3 |
| |
| MAT2324 | Ordinary Differential Equations and Laplace Transformation | 3 |
| or | |
| MAT2331 | Ordinary Differential Equations and Numerical Methods | 4 |
| |
| CSI2114 | Data Structures | 3 |
| |
| Winter: | |
| MAT2375 | Introduction to Statistics | 3 |
| |
| MAT2143 | Group Theory and Applications | 3 |
| or | |
| MAT2343 | Elements of Discrete Mathematics | 3 |
| |
| CSI2165 | Prolog Concepts Laboratory | 2 |
| or | |
| CSI2172 | C++ Concepts Laboratory | 2 |
| or | |
| CSI2173 | Java Concepts Laboratory | 2 |
| |
| Two credits from the Faculties of Science or Engineering | 2 |
| |
| Three credits from the Faculties of Arts, Education, Law, Social Sciences or the School of Management. | 3 |
| |
| Other compulsory courses | 30 |
| |
| Fifteen credits from MAT 2125, MAT 2143, or MAT courses at the 3000-level or above. | 15 |
| |
| Nine credits at the 2000-level or above all in the same field of science (other than mathematics) or engineering. | 9 |
| |
| Six credits from the Faculties of Arts, Education, Law, Social Sciences or the School of Management. | 6 |
|
|
| |
Honours BSc in Mathematics-Science | 120 |
|
| Suggested course stream for full-time students |
|
| |
| Compulsory first-year courses: | 32 |
| |
| Fall: | |
| CSI1100 | Introduction to Computer Science I | 4 |
| MAT1320 | Calculus I | 3 |
| MAT1341 | Introduction to Linear Algebra | 3 |
| |
| PHY1101 | Fundamentals of Physics I | 3 |
| or | |
| PHY1301 | Principles of Physics I | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| (The course PHY1201, that runs from September to April, is strongly recommended.) | |
| |
| Winter: | |
| CSI1101 | Introduction to Computer Science II | 4 |
| ENG1100 | Workshop in Essay Writing | 3 |
| MAT1322 | Calculus II | 3 |
| |
| PHY1102 | Fundamentals of Physics II | 3 |
| or | |
| PHY1302 | Principles of Physics II | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Compulsory second-year courses: | 28 |
| |
| Fall: | |
| MAT2122 | Calculus III | 3 |
| MAT2141 | Honours Linear Algebra I | 3 |
| MAT2371 | Introduction to Probability | 3 |
| |
| MAT2324 | Ordinary Differential Equations and Laplace Transformation | 3 |
| or | |
| MAT2331 | Ordinary Differential Equations and Numerical Methods | 4 |
| |
| CSI2114 | Data Structures | 3 |
| |
| Winter: | |
| MAT2375 | Introduction to Statistics | 3 |
| MAT2125 | Mathematical Analysis I | 3 |
| MAT2143 | Group Theory and Applications | 3 |
| |
| CSI2165 | Prolog Concepts Laboratory | 2 |
| or | |
| CSI2172 | C++ Concepts Laboratory | 2 |
| or | |
| CSI2173 | Java Concepts Laboratory | 2 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Third and fourth-year courses | 59 |
| |
| Three credits from: | |
| MAT3121 | Complex Analysis I | 3 |
| MAT3125 | Mathematical Analysis II | 3 |
| MAT3130 | Introduction to Dynamical Systems | 3 |
| MAT3141 | Honours Linear Algebra II | 3 |
| MAT3143 | Ring Theory and Applications | 3 |
| |
| Nine credits at the 2000-level and nine credits at the 3000-level, all in the same field of science or engineering other than mathematics. | 18 |
| |
| Twelve credits of MAT from 2343, 2355, 3153, 3172, 3175, 3341, 3344, 3361, 3375, 3377, 3380. | 12 |
| |
| Nine credits of MAT at the 4000-level or from MAT 3121, 3125, 3130, 3141, 3143 not used to satisfy the
previous requirements. | 9 |
| |
| Eight credits of science or engineering at the 2000-level or above. | 8 |
| |
| Nine credits from the Faculties of Arts, Education, Law, Social Sciences or the School of Management. | 9 |
|
|
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Joint Honours BSc in Mathematics and Economics | 120 |
|
| Suggested course stream for full-time students |
|
| |
| Compulsory first-year courses: | 32 |
| |
| Fall: | |
| CSI1100 | Introduction to Computer Science I | 4 |
| ECO1104 | Introduction to Microeconomics | 3 |
| ENG1100 | Workshop in Essay Writing | 3 |
| MAT1320 | Calculus I | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Winter: | |
| CSI1101 | Introduction to Computer Science II | 4 |
| ECO1102 | Introduction to Macroeconomics | 3 |
| MAT1322 | Calculus II | 3 |
| MAT1341 | Introduction to Linear Algebra | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Compulsory second-year courses: | 30 |
| |
| Fall: | |
| ECO2142 | Macroeconomic Theory I | 3 |
| ECO2144 | Microeconomic Theory I | 3 |
| MAT2122 | Calculus III | 3 |
| MAT2141 | Honours Linear Algebra I | 3 |
| MAT2371 | Introduction to Probability | 3 |
| |
| Winter: | |
| ECO2143 | Macroeconomic Theory II | 3 |
| ECO2145 | Microeconomic Theory II | 3 |
| MAT2125 | Mathematical Analysis I | 3 |
| MAT2375 | Introduction to Statistics | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Compulsory third-year courses: | 17 |
| |
| Fall: | |
| CSI2114 | Data Structures | 3 |
| ECO3152 | Macroeconomic Theory III | 3 |
| |
| MAT2324 | Ordinary Differential Equations and Laplace Transformation | 3 |
| or | |
| MAT2331 | Ordinary Differential Equations and Numerical Methods | 4 |
| |
| |
| Winter: | |
| ECO3151 | Introduction to Econometrics | 3 |
| ECO3153 | Microeconomic Theory III | 3 |
| One programming language laboratory chosen in two different groups (excluding the course CSI 2173 which
cannot be taken). | 2 |
| |
| Additional requirements | 41 |
| |
| Nine credits from: | |
| MAT2143 | Group Theory and Applications | 3 |
| MAT3153 | Introduction to Topology | 3 |
| MAT3172 | Probability II | 3 |
| MAT3175 | Introduction to Mathematical Statistics | 3 |
| MAT3341 | Applied Linear Algebra | 3 |
| MAT3344 | Discrete Mathematics | 3 |
| MAT3361 | Introduction to Mathematical Logic | 3 |
| MAT3375 | Regression Analysis | 3 |
| MAT3376 | Analysis of Variance | 3 |
| MAT3377 | Sampling and Surveys | 3 |
| MAT3380 | Introduction to Numerical Methods | 3 |
| |
| Twelve credits from MAT courses with at least three credits among the following courses and at least six MAT credits
at the 4000-level: | 18 |
| MAT3121 | Complex Analysis I | 3 |
| MAT3125 | Mathematical Analysis II | 3 |
| MAT3130 | Introduction to Dynamical Systems | 3 |
| MAT3141 | Honours Linear Algebra II | 3 |
| MAT3143 | Ring Theory and Applications | 3 |
| |
| Eighteen credits in economics courses at 3000-level or higher with at least six credits at the 4000-level. | 18 |
| (The course ECO 4856 is strongly recommended.) | |
| |
| Two credits from the Faculties of Science or Engineering | 2 |
|
|
| |
Honours BSc in Mathematics-Science with concentration in Computer Science | 122 |
|
| Suggested course stream for full-time students |
|
| |
| Compulsory first-year courses: | 32 |
| |
| Fall: | |
| CSI1100 | Introduction to Computer Science I | 4 |
| ENG1112 | Technical Report Writing | 3 |
| MAT1320 | Calculus I | 3 |
| MAT1341 | Introduction to Linear Algebra | 3 |
| |
| PHY1101 | Fundamentals of Physics I | 3 |
| or | |
| PHY1301 | Principles of Physics I | 3 |
| |
| Winter: | |
| CSI1101 | Introduction to Computer Science II | 4 |
| MAT1322 | Calculus II | 3 |
| MAT1361 | Logic and Discrete Mathematics | 3 |
| |
| PHY1102 | Fundamentals of Physics II | 3 |
| or | |
| PHY1302 | Principles of Physics II | 3 |
| |
| Three credits from the Faculties of Science or Engineering | 3 |
| |
| Compulsory second-year courses: | 30 |
| |
| Fall: | |
| CSI2111 | Computer Architecture | 3 |
| CSI2114 | Data Structures | 3 |
| MAT2122 | Calculus III | 3 |
| MAT2141 | Honours Linear Algebra I | 3 |
| |
| MAT2324 | Ordinary Differential Equations and Laplace Transformation | 3 |
| or | |
| MAT2331 | Ordinary Differential Equations and Numerical Methods | 4 |
| |
| Winter: | |
| CSI2121 | Principles of Assembly Language Programming | 3 |
| CSI2910 | Professional Practice in Computing / Pratique professionnelle de l'informatique | 1 |
| MAT2125 | Mathematical Analysis I | 3 |
| MAT2143 | Group Theory and Applications | 3 |
| MAT2343 | Elements of Discrete Mathematics | 3 |
| |
| One programming language laboratory chosen in two different groups (excluding CSI 2173 which cannot be taken). | 2 |
| |
| Third year courses: | 20 |
| |
| Fall: | |
| CSI3105 | Design and Analysis of Algorithms I | 3 |
| MAT2371 | Introduction to Probability | 3 |
| |
| Three credits from the Faculties of Arts, Education, Law, Social Sciences or the School of Management. | 3 |
| |
| Winter: | |
| CSI2131 | File Management | 3 |
| MAT2375 | Introduction to Statistics | 3 |
| MAT3380 | Introduction to Numerical Methods | 3 |
| (The course MAT 3380 is compulsory for all MAT students.) | |
| |
| One programming language laboratory chosen in two different groups (excluding CSI 2173 which cannot be taken). | 2 |
| |
| Fourth year courses: | 16 |
| |
| Fall: | |
| CSI3125 | Concepts of Programming Languages | 4 |
| CSI3317 | Database Management Systems | 3 |
| SEG3300 | Introduction to Software Engineering | 3 |
| |
| Winter: | |
| CSI3310 | Operating System Principles | 3 |
| CSI4101 | Theory of Computability | 3 |
| or | |
| CSI4150 | Introduction to Numerical Optimization Methods | 3 |
| |
| Additional requirements | 24 |
| |
| Three credits from: | |
| MAT3121 | Complex Analysis I | 3 |
| MAT3125 | Mathematical Analysis II | 3 |
| MAT3130 | Introduction to Dynamical Systems | 3 |
| MAT3141 | Honours Linear Algebra II | 3 |
| MAT3143 | Ring Theory and Applications | 3 |
| |
| Six credits from: | |
| MAT2355 | Introduction to Geometry | 3 |
| MAT3153 | Introduction to Topology | 3 |
| MAT3172 | Probability II | 3 |
| MAT3175 | Introduction to Mathematical Statistics | 3 |
| MAT3344 | Discrete Mathematics | 3 |
| MAT3361 | Introduction to Mathematical Logic | 3 |
| MAT3375 | Regression Analysis | 3 |
| MAT3376 | Analysis of Variance | 3 |
| MAT3377 | Sampling and Surveys | 3 |
| |
| Six credits from MAT at 4000-level or above or from MAT 3121, 3125, 3130, 3141, 3143 not used to satisfy
other requirements. | 6 |
| |
| Three credits at 1000-level or above in science or engineering. | 3 |
| |
| Six credits from the Faculties of Arts, Education, Law, Social Sciences or the School of Management. | 6 |
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Honours BSc in Mathematics-Science (Co-operative Program) | |
|
The requirements of the cooperative program are the same as those of the honours BSc in mathematics-science with the following additional conditions:
- The 9 credits at 2000-level and the 9 credits at 3000-level in the same field of science or engineering other than mathematics must be taken in computer science.
- Students will choose one of the following options: |
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| Option 1 (Modern Applied Mathematics) | |
| |
| Additional compulsory courses: | |
| MAT3130 | Introduction to Dynamical Systems | 3 |
| |
| MAT3343 | Applied Algebra | 3 |
| or | |
| MAT3344 | Discrete Mathematics | 3 |
| |
| Option 2 (Probability and Statistics) | |
| |
| Additional compulsory courses: | |
| MAT3172 | Probability II | 3 |
| MAT3375 | Regression Analysis | 3 |
| |
| MAT3376 | Analysis of Variance | 3 |
| or | |
| MAT3377 | Sampling and Surveys | 3 |
| Students must complete four work terms and submit a report on each work term. | |
|
|
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Honours BSc in Mathematics-Science with concentration in Computer Science | |
|
The requirements of the cooperative program are the same as those of the Honours BSc in mathematics-science and concentration in computer science, with the following additional conditions:
Students will choose one of the following options: |
|
| |
| Option 1 (Modern Applied Mathematics) | |
| |
| Additional compulsory courses: | |
| MAT3130 | Introduction to Dynamical Systems | 3 |
| |
| MAT3343 | Applied Algebra | 3 |
| or | |
| MAT3344 | Discrete Mathematics | 3 |
| |
| Option 2 (Probability and Statistics) | |
| |
| Additional compulsory courses: | |
| MAT3172 | Probability II | 3 |
| MAT3375 | Regression Analysis | 3 |
| |
| MAT3376 | Analysis of Variance | 3 |
| or | |
| MAT3377 | Sampling and Surveys | 3 |
| Students must complete four work terms and submit a report on each work term. | |
|
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Sequence of Work and Study Terms |
|
Upon entering the co-operative program in the second year, the students are divided into two streams, one for students who completed the normal first-year program at the University of Ottawa (mostly Ontario students with OAC courses) and one for students with a different background (mostly Quebec students graduating from a CEGEP).
After 16 months in the program, both groups will be at the same level and will choose either the applied mathematics or the statistics option. |
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| Summer | Fall | Winter |
|
| Group S1 |
|
| First year | - | 1a | 1b |
|
| Second year | - | 2a | T1 |
|
| Third year | 2b | T2 | 3a |
|
| Fourth year | T3 | 3b | T4 |
|
| Fifth year | 4a | T5 | 4b |
|
|
| Group C |
|
| First year | - | 2a | 2b |
|
| Second year | T1 | 3a | T2 |
|
| Third year | 3b | T3 | 3b |
|
| Fourth year | T4 | 4a | 4b |
|
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|
a: first half of academic year
b: second half of academic year
T: work term
For a description of the co-operative education program, see CO-OPERATIVE EDUCATION in this calendar. For the general regulations governing co-op programs, refer to the Co-op Students Handbook available from the central coordinating office (613) 562-5800, ext. 3015. For schedules of courses and work terms, contact the department.
At the end of each work term, students must submit a work term report. This report is due at the beginning of the following term. The report is graded by the department. For the final grade for the course co-op work term report, both the report and the employers evaluation are taken into account. |
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