MonMap
A course mapper by Monash Association of Coding (MAC)
Linear algebra (Advanced)
MTH2025
Synopsis
Vector spaces, linear transformations. Determinants, eigenvalue problems. Inner products, symmetric matrices, quadratic forms. Linear functionals and dual spaces. Matrix decompositions, least squares approximation, power method. Applications to areas such as coding, economics, networks, graph theory, geometry, dynamical systems, Markov chains, differential equations.
Sourced from the Monash Handbook 2026.
Quick facts
- Credit points
- 6
- Level
- 2
- Audience
- Undergraduate
- Type
- Coursework
- School
- Faculty of Science
- Faculty
- School of Mathematics
- Handbook year
- 2026
Prerequisites (3)
- Engineering mathematicsENG1005
- Techniques for modellingMTH1030
- Techniques for modelling (Advanced)MTH1035
What it unlocks (14)
- Theory of computationFIT2014
- Introduction to computational mathematicsMTH2051
- Number theory and cryptographyMTH2137
- Mathematics of uncertaintyMTH2222
- Mathematical statisticsMTH2232
- Differential geometryMTH3110
- Differential geometry (Advanced)MTH3115
- Topology: The mathematics of shapeMTH3130
- Number theory and cryptography (Advanced)MTH3137
- Algebra 1: Group theoryMTH3141
- Metric spaces, Banach spaces, Hilbert spacesMTH3160
- Network mathematicsMTH3170
- Network mathematics (Advanced)MTH3175
- Computational linear algebraMTH3320
Offerings (1)
- First semesterClayton · ON-CAMPUS
Listed in 9 areas of study
- Applied mathematicsDouble degree with engineering option
- Applied mathematicsDouble degree with engineering option
- Financial and insurance mathematicsFinancial and insurance mathematics elective unit
- MathematicsMathematics elective unit
- MathematicsAlgebra unit
- MathematicsAlgebra unit
- Pure mathematicsAlgebra unit
- Pure mathematicsAlgebra unit
- Mathematical statisticsAdditional elective units