MTH220 Ordinary Differential Equations (8)
CSU Discipline Area: Mathematics and Statistics (MASTA)
Duration: One session
Abstract:
This subject covers ordinary differential equations: first order, second order linear, solutions using Laplace transforms and power series. Special functions: Gamma, Bessel, and Legendre polynomials; applications to industry, biological and physical sciences.
+ Subject Availability Modes and Locations
| Session 1 | |
|---|---|
| Distance | Bathurst |
Continuing students should consult the SAL for current offering details: MTH220
Where differences exist between the Handbook and the SAL, the SAL should be taken as containing the correct subject offering details.
Prerequisite(s):
Objectives:
Upon successful completion of this subject, students should:
Be able to demonstrate appreciation of the wide-range application of differential equations in the modern world;
Be able to demonstrate understanding of the concept of convergent and divergent sequences and series, and apply suitable techniques to determine convergence or otherwise;
Be able to use appropriate techniques to solve first order and second order linear differential equations;
Be able to use computer software and programs for numerical solutions.
Syllabus:
The subject will cover the following topics:
Partial derivatives: differentials, total derivative, test for exactness;
First order ordinary differential equations: exact, separable, integrating factors, first order linear, Bernoulli, homogeneous, applications;
Second order linear; homogeneous solution, undetermined coefficients, variation of parameters, Laplace transforms;
Infinite series, series solutions of differential equations, special functions: Gamma function, Bessels function, Legendre polynomials.
The information contained in the 2013 CSU Handbook was accurate at the date of publication: 24 April 2013. The University reserves the right to vary the information at any time without notice.