Details for Linear Algebra and Operations Research

Together with MAT102 – Mathematics 1B this subject provides the required foundational material for the major and minor mathematics structure of the B.Ed. (Secondary


Quick Info

  • Currently offered by Alphacrucis: Yes
  • Course code: MAT201
  • Credit points: 10
  • Subject coordinator: Stephen Brinton

Prerequisites

The following courses are prerequisites:

Awards offering Linear Algebra and Operations Research

This unit is offered as a part of the following awards:

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 College.

Assessment Methods

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

Prescribed Text

  • Primary readings provided