Undergraduate - UnitMTH2021 - Linear algebra with applications

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Synopsis

Vector spaces, linear transformations. Determinants, eigenvalue problems. Inner products, symmetric matrices, quadratic forms. Jacobi iteration, Gauss-Seidel iteration, least squares approximation, power method. Applications to coding, computer graphics, geometry, dynamical systems, Markov chains, differential equations.

Outcomes

On completion of this unit students will: have a knowledge of the mathematical theory of linear algebra fundamental to any undergraduate mathematics course; be able to apply this theory in a wide variety of situations that require tools from linear algebra for their solution; have gained computational skills both with and without the aid of a computer algebra package; have enhanced skills in the oral and written communication of mathematics.

Assessment

Examination (3 hours): 70%
Assignments: 20%
Laboratory work: 10%.

Chief examiner(s)

Associate Professor Alan Pryde

Contact hours

Three 1-hour lectures and one 2-hour support class per week

Prerequisites

MAT1841, MTH1030, MTH1035, or equivalent

Prohibitions

MAT2912