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Details for MAT211 Linear Algebra and Operations Research

Having a solid foundation for addressing complex problems in mathematics is important within multiple fields. This subject equips students with skills in linear algebra, including matrices and vector spaces, and operations research. Students will be prepared to apply mathematical reasoning to optimise solutions across various contexts.

Quick Stats

  • Currently offered by Alphacrucis: Yes
  • Course code: MAT211
  • Credit points: 10

Subject Coordinator

Contact studentsupport@ac.edu.au for more information.

Prerequisite

Unit Content

Outcomes

  1. Demonstrate an understanding of the theory of matrices, linear transformations of Euclidean spaces; eigenvalues, eigenvectors and their applications; vector spaces; concepts of orthogonality in vector spaces; formulate sustained mathematical argument with proofs when necessary;
  2. Apply the Simplex method, the transportation algorithm, cut algorithm and Branch and Bound algorithm for solving optimisation problems; network analysis techniques to solve minimum-span, shortest route and maximal-flow problems;
  3. Demonstrate problem solving skills using the concepts of linear algebra and operations research 
  4. Demonstrate knowledge of the concepts of linear algebra and operations research in context and the ability to use these concepts to make reasoned, logical answers with sound mathematical reasoning.

Subject Content

Linear Algebra:

  • bases for vector spaces
  • linear transformations
  • eigenvalues and eigenvectors
  • orthogonalities
  • complex scalars
  • inner-product spaces
  • Hilbert spaces

Operations Research:

  • linear programming
  • simplex method
  • duality
  • integer programming
  • non-linear programming
  • network analysis

This course may be offered in the following formats

  • Onsite (on campus)
  • Online (e-Learning)
  • Intensives

Please consult your course prospectus or enquire about how and when this course will be offered next at Alphacrucis University College.

Assessment Methods

  • Worksheets (30%)
  • Online Exam/Activities (30%)
  • Final Examination (40%)

Prescribed Text

  • Primary readings provided