Mathematics (MATH)
School of Mathematics and Statistics
Faculty of Science
MATH 1005 [0.5 credit]
Differential Equations and Infinite Series for Engineering or Physics
First-order differential equations. Linear differential equations with constant coefficients; undetermined coefficients; annihilator operators. Variation of parameters. Euler-Cauchy differential equation. Indeterminate forms. Sequences and series; convergence tests; estimation of sums. Power series, Taylor series, remainders. Use of power series to solve differential equations.
Restricted to students in the Faculty of Engineering, or in B.Sc. programs of the Department of Physics (except Double Honours Mathematics and Physics).
Precludes additional credit for
MATH 1002,
MATH 2001,
MATH 2002,
MATH 2007,
MATH 2404 and
MATH 2600.
Prerequisites: i)
MATH 1004, or a grade of C- or better in
MATH 1007; and ii) either: successful completion of an OAC in Algebra and Geometry, or
MATH 0107 [prior to Fall 2003]; or: concurrent registration in
MATH 1104 (or
MATH 1107); or permission of the School.
Lectures three hours a week, tutorial one hour a week.