Classification of ode's, order and linearity, general and particular solutions, initial conditions, initial value problems. First order ode's and methods of solutions, including variables separable, exact, integrating factors, substitution methods. Second order linear ode's, homogeneous equations with constant coefficients, solving non-homogeneous equations via undetermined coefficients and variation of parameters. Applications of first and second order ode's. Series solutions of second order ode's. Brief review of matrix concepts, including eigenvalues and eigenvectors. Systems of linear differential equations. Techniques for solving homogeneous and non-homogeneous systems. Applications of systems of linear ode's.
Contact hours:
5 lectures/tutorials per week.Assessment:
2 tests (25%), 3 or 4 assignments (15%) and final exam (60%).Prerequisite: 1.20802
Text:
Kreyszig, E., 2000, Advanced engineering mathematics, 8th edition, John Wiley, New York.