(Honours) Asymptotic series: properties, matching, application to differential equations. Asymptotic expansion of integrals: elementary methods, methods of Laplace, stationary phase and steepest descent, Watson’s lemma, Riemann- Lebesgue lemma. Perturbation methods: regular and singular perturbation for differential equations, multiple scale analysis, boundary layer theory, WKB theory. Prerequisite(s): MATH 3057 and at least one of MATH 3008 or MATH 3705, or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5408, for which additional credit is precluded. Lectures three hours a week.
(Honours) Asymptotic series: properties, matching, application to differential equations. Asymptotic expansion of integrals: elementary methods, methods of Laplace, stationary phase and steepest descent, Watson’s lemma, Riemann- Lebesgue lemma. Perturbation methods: regular and singular perturbation for differential equations, multiple scale analysis, boundary layer theory, WKB theory. Prerequisite(s): MATH 3057 and at least one of MATH 3008 or MATH 3705, or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5408, for which additional credit is precluded. Lectures three hours a week.
