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
Topic description
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.
Educational aims
This topic provides

  1. An understanding of many fundamental mathematical concepts including rank, basis, linear independence, dimension, linear transformations, existence and uniqueness of solutions to problems, etc
  2. A suite of techniques for solving a very large class of problems
  3. An understanding of the breath of application of these techniques to all areas of science, medicine, finance, economy, social science
  4. 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:

  1. Have an understanding of several fundamental concepts in mathematics
  2. Have an understanding of how these concepts relate to solving real problems
  3. Have an understanding of the scope of application of the methods learned to real problems in all areas of human endeavour
  4. Have the ability to combine theoretical and practical aspects to arrive at solutions