1 x 120-minute lecture-2 weekly 1 x 60-minute lecture-1 weekly 1 x 50-minute tutorial weekly
1 of MATH1122, MATH1204
Enrolment not permitted
MATH8705 has been successfully completed
Review of linear systems, vector spaces, orthogonality, eigenvalues and eigenvectors, linear transformations, first order ODE (existence and uniqueness, separable, exact equations), linear ODE (existence and uniqueness, constant coefficient homogenous, variable coefficient homogeneous, constant coefficient nonhomogeneous), linear systems, boundary value problems.
This topic provides
An understanding of many fundamental mathematical concepts including rank, basis, linear independence, dimension, linear transformations, existence and uniqueness of solutions to problems, etc
A suite of techniques for solving a very large class of problems
An understanding of the breath of application of these techniques to all areas of science, medicine, finance, economy, social science
The ability to connect abstract mathematical concepts to solutions of real problems
Expected learning outcomes
At the completion of the topic, students are expected to be able to:
Have an understanding of several fundamental concepts in mathematics
Have an understanding of how these concepts relate to solving real problems
Have an understanding of the scope of application of the methods learned to real problems in all areas of human endeavour
Have the ability to combine theoretical and practical aspects to arrive at solutions
Key dates and timetable
Timetable details for 2020 are no longer published.
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