Handbook 1996 : Faculty of Science (Volume 4 page 210)
Mathematics subject : Next:618-242 | Prev:618-231 | Search | Help
618-232 "Mathematical Methods" appears differently in several places - choose the one you want:
1. Mathematics, Faculty of Science (v4, p210) : Next:618-242 | Prev:618-231
Credit points: 12.0
Coordinator: Dr D Y C Chan
Prerequisite: One of Mathematics 618-102 (1995 Handbook), 112, 122, 200, 211; and one of 618-130 or 618-132.
Contact: 39 lectures (three a week)
Timetable: Second semester
Objectives:
On completion of this subject, students should:Comprehend:
- the terminology of classifying and describing ordinary and partial differential equations;
- the concept of obtaining complete and general solutions;
- the role of Fourier series, Laplace transforms and special functions in providing solutions to such equations.
Have developed:
- a competent working knowledge on general methods to solve linear ordinary differential equations and partial differential equations;
- know how to use standard methods such as Laplace transforms, series solutions, separation of variables for obtaining solutions.
Appreciate:
- the complexity and the necessary ingredients required in obtaining solutions to ordinary and partial differential equations;
- more advanced techniques available in further courses on mathematical methods.
Content:
Partial differential equations: Laplace's equation, wave equation and heat equation; separation of variables; Fourier series. Ordinary differential equations: introduction to Laplace transforms and applications; differential equations with variable coefficients, independent solutions, Wronskians; series solutions of ordinary differential equations; Bessel functions, Legendre polynomials and other special functions.
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
1. Mathematics, Faculty of Science (v4, p210) : Next:618-242 | Prev:618-231
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p147) : Next:618-242 | Prev:618-231
Credit points: 12.0
Coordinator: Dr D Y C Chan.
Prerequisite: One of Mathematics 618-102 (1995 Handbook), 112, 122, 200, 211; and one of 618-130 or 618-132.
Contact: 39 lectures (three each week)
Timetable: Second semester.
Objectives:
On completion of this subject, students should:Comprehend:
- the terminology of classifying and describing ordinary and partial differential equations;
- the concept of obtaining complete and general solutions;
- the role of Fourier series, Laplace transforms and special functions in providing solutions to such equations.
Have developed:
- a competent working knowledge on general methods to solve linear ordinary differential equations and partial differential equations;
- know how to use standard methods such as Laplace transforms, series solutions, separation of variables for obtaining solutions.
Appreciate:
- the complexity and the necessary ingredients required in obtaining solutions to ordinary and partial differential equations;
- more advanced techniques available in further courses on mathematical methods.
Content:
Partial differential equations Laplace's equation, wave equation and heat equation; separation of variables; Fourier series. Ordinary differential equations Introduction to Laplace transforms and applications; differential equations with variable coefficients, independent solutions, Wronskians; series solutions of ordinary differential equations; Bessel functions, Legendre polynomials and other special functions.
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
* Note that CONTACT, CONTENT differs from the maintainer's version above. A log of variations is available.
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p147) : Next:618-242 | Prev:618-231
Status: Official 1996 Date created: Oct 9 1995 Last modified: Oct 9 1995 Authorised by: Academic Registrar Email enquiries: Course_Information@registrar.unimelb.edu.au
Maintained by: Dept. of Mathematics, Faculty of Science.
Copyright © University of Melbourne 1995,1996.