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Faculty of Science Mathematics & Statistics
Faculty of Science

Mathematics & Statistics

MATH 4FT3/6FT3, Fall 2018

TOPICS IN DIFFERENTIAL EQUATIONS 

Does entropy really increase no matter what we do? Can light pass through a Big Bang? What is certain about the Heisenberg uncertainty principle? Many of the laws of physics are formulated in terms of differential equations, and the questions above are about the nature of their solutions. The course Math 4FT3 addresses the principal partial differential equations that arise in physical contexts; the course material will present methods (both specific and abstract) for solving them.  In the course of this analysis we will deduce many of the main features of their solutions, including finite propagation speed and conservation of energy for wave equations, maximum principles for heat flow, shock formation for nonlinear conservation laws, and other mathematical aspects of familiar and less familiar laws of physics. No knowledge of physics is assumed. 

INSTRUCTOR:  W. Craig

Course Website

Calendar Description
3 unit(s) 
Topics to be selected from the theory of ordinary differential equations, bifurcation and stability, and partial differential equations.
Three lectures; one term
Prerequisite(s): Permission of the instructor

MATH 4FT3 may be repeated, if on a different topic.




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McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca

McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca