Subject description
MATH202 is one of four core 200 level Mathematics subjects. This subject gives a foundation in essential existence and uniqueness theory, introduces the student to elementary special functions, discusses the application of integral transforms to solve differential equations, and gives typical applications in population dynamics, radioactive decay, logistics, and predator/prey … For more content click the Read More button below.
Enrolment rules
Co-Requisite
Pre-Requisite
Equivalence
MTH8202 - Differential Equations. Analysis and Application
MATH283 - Advanced Engineering Mathematics and Statistics
Tutorial enrolment
Students can enrol online via the Tutorial Enrolment link in SOLS
Delivery
To view information specific to your campus, click on Select availability in the top right of screen and choose from the campus, delivery mode and session options.
Engagement hours
Contact Hours:1 x 2 hour lecture, 1 x 1 hour lecture, 1 hour tutorial
Learning outcomes
On successful completion of this subject, students will be able to:
1.
Prove existence and uniqueness theorems for ODEs;
2.
Describe applications of differential equations to real-world problems such as population dynamics, radioactive decay, logistics, and predator-prey competition;
3.
Evaluate and manipulate relevant integrals in terms of Gamma, Beta and Error functions;
4.
Recognise and evaluate integro-differential equations able to be solved by Laplace transform methods, and then solve them;
5.
Express relevant functions using their Fourier series or other representations;
6.
Solve differential equations via the methods of integrating factor, exact differential equations and the matrix exponential;
7.
Determine global dynamics of linear and nonlinear systems of differential equations by phase line and phase plane analysis, including linearisation about equilibria;
8.
Solve partial differential equations by separation of variables techniques.
Assessment details
Assignments
Quizzes
Mid-session exam
Final Exam
Work integrated learning
Foundational WIL:This subject contains elements of "Foundational WIL". Students in this subject will observe, explore or reflect on possible career pathways or a work-related aspect of their discipline.
Textbook information
No prescribed textbooks for this subject.