431-202 Engineering Analysis B

Students may only gain credit for one of the following groups of subjects (620-231 Vector Analysis and 620-232 Mathematical Methods) or (431-201 Engineering Analysis A and 431-202 Engineering Analysis B).

431-201 Engineering Analysis A (prior to 2001, 421-204 Engineering Analysis A) or equivalent.

This subject introduces important mathematical methods required in engineering. Students should develop an ability to set up and compute double and triple integrals, manipulate vector differential operators. Students should develop an ability to solve a range of ordinary differential equations by a variety of methods including Laplace transformations, and to gain an understanding of the behaviour of their solutions. They will learn to represent suitable functions in terms of a Fourier series or integral, and to use these representations and other methods to solve partial differential equations. Students will gain experience in using a mathematical software system.

Topics include multiple integrals, vector calculus, higher order ordinary differential equations, solutions and phase portraits of systems of ordinary differential equations, Laplace transforms. Fourier series, Fourier integrals, method of characteristics for first order partial differential equations, second order hyperbolic, parabolic and elliptic partial differential equations.

• ability to apply knowledge of basic science and engineering fundamentals

• ability to communicate effectively, not only with engineers but also with the community at large

• in-depth technical competence in at least one engineering discipline

• ability to undertake problem identification, formulation and solution

• understanding of professional and ethical responsibilities and commitment to them

• expectation of the need to undertake lifelong learning, capacity to do so

• capacity for independent critical thought, rational inquiry and self-directed learning

• intellectual curiosity and creativity, including understanding of the philosophical and methodological bases of research activity

• profound respect for truth and intellectual integrity, and for the ethics of scholarship

Up to 24 pages of written assignments (20%), a mid-semester test (10%) and a 3-hour end-of-semester written examination (70%).