Joint Major in Biology & Mathematics (76 credits)

 *Projected Start date Fall 2017

This program is built on a selection of mathematics and biology courses that recognizes mathematical biology as a field of research, with 3 streams within biology:

  • Ecology and Evolutionary Ecology
  • Molecular Evolution
  • Neurosciences

Program coordinators: Frederic Guichard (Biology) and Axel Hundemer (Mathematics).

Advising notes for U0 students

  • It is highly recommended that freshman BIOL, CHEM, MATH, and PHYS courses be selected with an advisor to ensure they meet the core requirements of the program.
  • This program is recommended for U1 students achieving a CGPA of 3.2 or better; and entering CEGEP students with a Math/Science R-score of 28.0 or better.

REQUIRED COURSES (37 CREDITS)

Bio-Physical Sciences Core (28 credits)

Credits
Department
Courses
Course Title
3
Biology
BIOL 219
Physical Biology of the Cell
4
BIOL 301
Cell & Molecular Biology Laboratory
1
BIOL 395
Quantitative Biology Seminar
4
Chemistry
* CHEM 212
Organic Chemistry
3
Computer Science
Either
** COMP 202
Foundations of Programming
3
Mathematics
*MATH 222
Calculus 3
3
*** MATH 223
Linear Algebra
3
or
*** MATH 247
Honours Applied Linear Algebra
3
MATH 315
Ordinary Differential Equations
3
MATH 323
Probability
* If a student has already taken CHEM 212 or its equivalent, or MATH 222 or its equivalent, the credits can be made up with complementary courses in consultation with the Program Adviser.
** Students who have sufficient knowledge in a programming language should take COMP 250 "Introduction to Computer Science" rather than COMP 202.
*** Students may take either MATH 223 or MATH 247.


Biology and Mathematics Core (9 credits)

Credits
Department
Courses
Course Title
3
Biology
BIOL 215
Introduction to Ecology and Evolution
3
Mathematics
MATH 242
Analysis 1
3
MATH 243
Analysis 2
 

Complementary Courses (39 credits)
For the 39 credits, students complete 21 credits of BIOL, NEUR, PHGY, PSYC courses including one of three streams (Ecology and Evolutionary Ecology, Molecular Evolution, Neurosciences);
And 18 credits of MATH courses

Math or Biology Research Course (39 credits)

Note: Students selecting a BIOL course count this toward their 21 credits of BIOL, NEUR, PHGY, PSYC courses while students selecting a MATH course count this toward their 18 credits of MATH courses.
3-6 credits from the following Math or Biology Research courses:

Credits
Department
Courses
Course Title
3
Biology
BIOL 466
Independent Research Project 1
3
BIOL 467
Independent Research Project 2
6
BIOL 468
Independent Research Project 3
3
Mathematics
MATH 410
Majors Project
 

Of the remaining complementary courses, at least 6 credits must be at the 400-level or above.

MATH Courses
15 credits (if MATH 410 was selected as research course) or 18 credits of MATH courses chosen from Stream 1 or 2 and from "Remaining Math Courses" as follows:

STREAM 1: Theory
12 credits from the following courses:

3
Mathematics
MATH 314
Advanced Calculus
3
*MATH 317
Numerical Analysis
3
MATH 319 Introduction to Partial Differential Equations
3
MATH 326
Nonlinear Dynamics and Chaos
3
*MATH 327
Matrix Numerical Analysis
* Students may take either MATH 317 or MATH 327

STREAM 2:
Statistics
9 credits from the following courses:
3
MATH 324
Statistics
3
MATH 423
Regression and Analysis of Variance
3
MATH 447
Stochastic Processes


Remaining Math Courses

The remaining 3- 9 credits of MATH courses may be chosen from any of the two preceding sequences and/or from the following list:

3
MATH 204
Principles of Statistics 2
3
MATH 340
Discrete Structures 2
3
MATH 437
Mathematical Methods in Biology
4
MATH 523
Generalized Linear Models
4
MATH 524
Nonparametric Statistics
4
MATH 525
Sampling Theory and Applications

BIOL, NEUR, PHGY, PHYS, PSYC courses
18 credits (if 3 credit BIOL research course was selected) or 15 credits (if 6 credit BIOL research course was selected) or 21 credits (if a MATH research course was selected) of BIOL, NEUR, PHGY, PHYS, PSYC courses including one of three streams.
Note: Some courses in the streams may have prerequisites.


Ecology and Evolutionary Ecology Stream - at least 15 credits selected as follows:

3
Biology
BIOL 206
Methods in Biology of Organisms

3 credits from the following field courses or any other field course, with permission

3
Biology
BIOL 240
Monteregian Flora
3
BIOL 331
Ecology/Behaviour field course
3
BIOL 334 D1/D2
Applied Tropical Ecology
3
BIOL 432
Limnology
3
BIOL 573
Vertebrate Palaeontology Field Studies
At least 9 credits chosen from the following list, of which 6 credits must be at the 400-level or above
3
Biology
BIOL 202
Basic Genetics
3
BIOL 205
Biology of Organisms
3
BIOL 304
Evolution
3
BIOL 305
Animal Diversity
3
BIOL 308
Ecological Dynamics
3
BIOL 310
Biodiversity & Ecosystems
3
BIOL 324
Ecological Genetics – requires BIOL 202
3
BIOL 434
Theoretical Ecology
3
BIOL 509
Methods in Molecular Ecology
3
BIOL 569
Developmental Evolution
3
BIOL 594
Advanced Evolutionary Ecology

Molecular Evolution Stream
at least 15 credits selected as follows:

3
Biology
BIOL 202  
Basic Genetics
At least 12 credits chosen from the following list of which 6 credits must be at the 400-level or above:
3
Biology
BIOL 303
Developmental Biology
3
BIOL 304
Evolution
3
BIOL 313
Eukaryotic Cell Biology
3
BIOL 518
Advanced Topics in Cell Biology (requirements: see Notes)
3
BIOL 569
Developmental Evolution
3
BIOL 592
Integrated Bioinformatics


Neurosciences stream
At least 15 credits selected as follows:


3
Biology
BIOL 306
Neural Basis of Behaviour

At least 12 credits selected from:

3
Biology
BIOL 320
Evolution of Brain and Behaviour
3
BIOL 389
Laboratory in Neurobiology
3
BIOL 580
Genetic Approaches to Neural Systems
3
Neurobiology
NEUR 310
Cellular Neurobiology
3
NEUR 507
Topics in Radionuclide Imaging
3
NEUR 570
Human Brain Imaging
3
Physiology
PHGY 314
Integrative Neuroscience
3
PHGY 425
Analyzing Physiological Systems
3
PHGY 552
Cell and Molecular Physiology
3
Psychology
PSYC 427
Sensorimotor Behaviour
3
Psychiatry
PSYT 455
Neurochemistry
3
PSYC 502
Brain Evolution and Psychiatry


Remaining BIOL, NEUR, PHGY, PSYC

For the remaining BINF, BIOL, NEUR, PHGY, PSYC complementary course credits, if any, students top up their credits to the necessary 21-24 credits with any course listed in the above three streams. Other relevant courses may be substituted with the approval of the program coordinator.

Notes:
Program coordinators: Frederic Guichard (Biology), Axel Hundemer (Mathematics).




SEQUENCE 1:
Theory

12 credits from the following courses:

3
Mathematics
MATH 314
Advanced Calculus
3
MATH 317
Numerical Analysis
3
or
MATH 327 Matrix Numerical Analysis
3
MATH 319
Introduction to Partial Differential Equations
3
MATH 326
Nonlinear Dynamics and Chaos


SEQUENCE 2:
Statistics
9 credits from the following courses:
3
MATH 324
Statistics
3
MATH 423
Regression and Analysis of Variance
3
MATH 447
Stochastic Processes


Remaining Math Courses

The remaining 3- 9 credits of MATH courses may be chosen from any of the two preceding sequences and/or from the following list:

3
MATH 204
Principles of Statistics 2
3
MATH 340
Discrete Structures 2
3
MATH 437
Mathematical Methods in Biology
4
MATH 523
Generalized Linear Models
4
MATH 524
Nonparametric Statistics
4
MATH 525
Sampling Theory and Applications

BIOL, NEUR, PHGY, PHYS, PSYC courses
21-24 credits of BIOL, NEUR, PHGY, PHYS, PSYC courses including one of three Streams.
Note: Some courses in the Streams may have prerequisites.


Ecology and Evolutionary Ecology Stream
At least 15 credits selected as follows:


3
Biology
BIOL 206
Methods in Biology of Organisms

3 credits from the following field courses or any other field course, with permission:

3
Biology
BIOL 331
Ecology/Behaviour field course
3
BIOL 334 D1/D2
Applied Tropical Ecology
3
BIOL 432
Limnology
3
BIOL 573
Vertebrate Palaeontology Field Studies
At least 9 credits chosen from the following list, of which 6 credits must be at the 400-level or above
3
Biology
BIOL 202
Basic Genetics
3
BIOL 205
Biology of Organisms
3
BIOL 304
Evolution
3
BIOL 305
Animal Diversity
3
BIOL 308
Ecological Dynamics
3
BIOL 310
Biodiversity & Ecosystems
3
BIOL 324
Ecological Genetics – requires BIOL 202
3
BIOL 434
Theoretical Ecology
3
BIOL 509
Methods in Molecular Ecology
3
BIOL 569
Developmental Evolution
3
BIOL 594
Advanced Evolutionary Ecology

Molecular Evolution Stream
At least 15 credits selected as follows:


3
Biology
BIOL 202  
Basic Genetics
At least 12 credits chosen from the following list of which 6 credits must be at the 400-level or above.
3
Biology
BIOL 303
Developmental Biology
3
BIOL 304
Evolution
3
BIOL 313
Eukaryotic Cell Biology
3
BIOL 518
Advanced Topics in Cell Biology (requirements: see Notes)
3
BIOL 569
Developmental Evolution
3
BIOL 592
Integrated Bioinformatics


Neurosciences stream
At least 15 credits selected as follows:


3
Biology
BIOL 306
Neural Basis of Behaviour

At least 12 credits selected from:

3
Biology
BIOL 320
Evolution of Brain and Behaviour
3
BIOL 389
Laboratory in Neurobiology
3
BIOL 530
Advances in Neuroethology
3
BIOL 580
Genetic Approaches to Neural Systems
3
Neurobiology
NEUR 310
Cellular Neurobiology
3
NEUR 507
Topics in Radionuclide Imaging
3
NEUR 570
Human Brain Imaging
3
Physiology
PHGY 314
Integrative Neuroscience
3
PHGY 425
Analyzing Physiological Systems
3
PHGY 552
Cell and Molecular Physiology
3
Psychology
PSYC 427
Sensorimotor Behaviour
3
Psychiatry
PSYT 455
Neurochemistry
3
PSYC 502
Brain Evolution and Psychiatry


Remaining BIOL, NEUR, PHGY, PSYC

For the remaining BIOL, NEUR, PHGY, PSYC complementary course credits, if any, students top up their credits to the necessary 18-21 credits with any course listed in the above three streams. Other relevant courses may be substituted with the approval of the Program Advisor.

Notes:
Program coordinators: Frederic Guichard (Biology), Axel Hundemer (Mathematics).