Credit Points 10

Legacy Code 200030

Coordinator Shatha Aziz Opens in new window

Description Differential equations arise naturally both in abstract mathematics and in the study of many phenomena. This subject provides the theory of ordinary differential equations and an introduction to partial differential equations together with methods of solution. Examples are drawn from a wide range of biological, chemical, physical and economic applications.

School Computer, Data & Math Sciences

Discipline Mathematics

Student Contribution Band HECS Band 1 10cp

Check your fees via the Fees page.

Level Undergraduate Level 2 subject

Pre-requisite(s) MATH1015 - Mathematics 1B

Incompatible Subjects MATH 1019 - Mathematics for Engineers 2

Restrictions

Students enrolled in Bachelor of Engineering, Bachelor of Engineering (Honours) or Bachelor of Engineering Science may not enrol in this subject.

Assumed Knowledge

None

Learning Outcomes

On successful completion of this subject, students should be able to:

1. Classify and solve various types of first order ordinary differential equations
2. Classify and solve various types of second order ordinary differential equations
3. Apply Laplace transforms to solve problems including second order ordinary differential equations
4. Classify and solve various types of basic partial differential equations.

Subject Content

- Review of first order differential equations
- homogeneous linear second order equations
- reducible second order equations
- linear second order equations with constant coefficients
- differential operators
- method of undetermined coefficients
- variation of parameters
- equations with variable coefficients
- power series solutions
- Laplace transforms
- simple partial differential equations and separation of Variables, eg diffusion, wave and Laplace equations
- application of Fourier series to partial differential equations