**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

Offered every fall and spring term.

The course builds on AMATH 250, offering a deeper analysis of linear differential equations (DEs with non-constant coefficients, qualitative analysis and vector DEs), followed by an introduction to perturbation theory and to numerical methods. Applications are discussed throughout.

AMATH 250 (Introduction to ODEs) and MATH 237/247 (Calculus 3), or consent of the instructor.

- AMATH 351 is a required course in all Applied Mathematics programs.
- AMATH 351 will benefit students who are interested in Scientific Computation (e.g. AMATH 342, Computational Methods for Differential Equations), since differential equations form the basis for many mathematical models that have to be investigated using computers.
- AMATH 351 will benefit students who are interested in the Mathematics of Finance (e.g. Pure Mathematics/Finance Option), since ordinary and partial differential equations are being applied in this area.
- AMATH 351 will benefit students in Actuarial Science & Statistics, since differential equations are used in these areas.
- AMATH 351 leads to fourth year courses in dynamical systems (AMATH 451) and control theory (AMATH 455). Most physical systems are described by nonlinear rather than by linear differential equations. Dynamical systems deals with this challenging topic, in which one soon encounters unsolved problems. Control theory is the process of influencing the behaviour of a physical system so as to attain a desired goal, and is based on differential equations.

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.