Four-Year B.Sc. Program in Applied Mathematics:
Continuum Mechanics Option
This Honors Program has the Applied Mathematics Program 3 part structure
of combining "analytical" math courses (like calculus, differential equations
and linear algebra) with numerical and computational courses and with
courses in an area where you will apply the ideas and techniques you learn
to important and interesting problems of "the real world".
Continuum Mechanics is a subject that allows us to understand the dynamics of fluids and solids without particular reference to atoms or molecules. This turns out to be the only way to treat many practical problems from aerodynamics and weather forecasting to blood flow in the body. Applied mathematics is crucial to understanding the known physical laws of Newton in the context of a continuum. It turns out the only way to solve much of the resulting mathematics is with heavy duty computer calculations. This program of study can get you a job, and you will always be entertained by watching a cup being stirred!
Click here if you have any questions or comments you would like to e-mail to an Applied
Mathematics counsellor.
Admission Requirements
A first year program with mark of at least 60% in Calculus 050a/b plus 051a/b or Applied Mathematics 026, and Physics 020 as principal courses. Linear Algebra 040a/b is strongly recommended.
Second Year
Principal Courses
AM 213b (Linear Algebra II)
AM 261b (Numerical Analysis)
Calculus 250a and 251b (Advanced Calculus and Vector Analysis)
Differential Equations 215a (Ordinary Differential Equations)
Phys. 200 (Physics II)
Phys. 259E (Intermediate Physics Laboratory)
Subsidiary Course
One half course option: Linear Algebra 040a/b (in first term)
if not taken in 1st year.
Click here for a timetable. (It gives only one possible scheduling of
required courses - there may be others.) You can use this to find times
for your options. If you have problems, click here to send us a note.
We'll do our best to resolve them.
Third Year
Principal Courses
AM 301a/b (Complex Variables with Applications)
AM 315a/b (Partial Differential Equations I)
AM 351a/b (Introduction to Continuum Mechanics)
AM 353a(Advanced Classical Mechanics I)
AM 415b(Partial Differential Equations II)
AM 420b(Electromagnetic Theory II)
Phys. 365a(Electromagnetic Theory I)
Phys. 343b*(Thermal and Statistical Physics II)
AM 425b*(Methods of Applied Mathematics)
One and one half course approved option*
One half course approved option
Note: AM 432b must be taken as principle course in the 3rd or 4th year.
In academic years starting September 2000 and other even numbered years
*In academic years starting September 2001 and other odd numbered years
Subsidiary Courses
Math. 207b (Real Variables I)
Stat. Sci. 257a (Probability)
Note: Applied Mathematics 303a/b (Nonlinear Ordinary Differential Equations and Chaos) must be taken in either third or fourth year.
Click here for a
timetable. (It gives only one possible scheduling of
required courses - there may be others.) You can use this to find times
for your options. If you have problems,
click here to send us a note.
We'll do our best to resolve them.
Fourth Year
Principal Courses
Two of AM 465a/b, 466a/b, 475a/b, 476a/b (Numerical Methods)
AM 353a(Advanced Classical Mechanics I)
AM 415b(Partial Differential Equations II)
AM 420b (Electromagnetic Theory II)
Phys. 365a(Electromagnetic Theory I)
AM 425a* (Methods of Applied Mathematics)
Phys. 343b* (Thermal and Statistical Physics II)
One
or two full
* courses appoved option.
In academic years starting September 2000 and other even numbered years [Applied Mathematics 425a will be offered in 2000]
* In academic years starting September 2001 and other odd numbered years
Subsidiary Courses
Two half course approved options
Click here for a timetable. (It gives only one possible scheduling of
required courses - there may be others.) You can use this to find times
for your options. If you have problems, click here to send us a note.
We'll do our best to resolve them.