**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, winter and spring term.

The first part of the course introduces the concepts and main results of vector integral calculus: vector fields, line and surface integrals and the three famous theorems - Green's theorem, Gauss' Divergence theorem and Stokes' theorem. The second part of the course deals with Fourier analysis, that is, the remarkable idea that a variety of complicated functions can be synthesized from pure sine and cosine functions. Applications to physics and engineering are emphasized throughout the course.

MATH 237/247 Calculus 3

- AMATH 231 is the culmination of the traditional Calculus sequence and will appeal to students who enjoy Calculus and/or are interested in theoretical physics.
- AM 231 leads to continuum mechanics (AMATH 361) - the basis for fluid mechanics, elasticity and biomechanics, with current applications to geophysics, the environment and medicine.
- AM 231 leads to partial differential equations (AMATH 353) - of interest in such diverse areas as fluid dynamics (AMATH 463), Quantum Mechanics (AMATH 373) and the mathematics of finance.
- The introduction to Fourier series and the Fourier transform in AMATH 231 will provide the background for the so-called fast Fourier transform algorithm that arises in numerical computation (e.g. CS 370, AMATH 242), and in digital signal analysis (e.g. ECE 412).

**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.