This course examines ordinary differential equations and related initial-value problems, and emphasizes their many applications in science and engineering. Students discuss methods for solving such equations either exactly or approximately. Topics include first-order equations; higher order linear equations; modelling with differential equations; systems of linear equations; and phase plane analysis of nonlinear systems. Prerequisites: MATH 1240 or MATH 1241 and MATH 2110 or 2111 and MATH 2120 or MATH 2121, all with a minimum grade of C. NOTE: MATH 2110 or 2111 and MATH 2120 or MATH 2121 may be taken as co-requisites with MATH 2240.
This course examines ordinary differential equations and related initial-value problems, and emphasizes their many applications in science and engineering. Students discuss methods for solving such equations either exactly or approximately. Topics include first-order equations; higher order linear equations; modelling with differential equations; systems of linear equations; and phase plane analysis of nonlinear systems. Prerequisites: MATH 1240 or MATH 1241 and MATH 2110 or 2111 and MATH 2120 or MATH 2121, all with a minimum grade of C. NOTE: MATH 2110 or 2111 and MATH 2120 or MATH 2121 may be taken as co-requisites with MATH 2240.