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MTH1030
Synopsis
This unit develops a comprehensive understanding of basic linear algebra and advanced calculus, equipping you with versatile techniques and skills applicable within the natural sciences, engineering, computer science, economics and many other disciplines.
The first half of the unit is dedicated to linear algebra. Topics covered include: solution of systems of linear equations, Gauss-Jordan algorithm, reduced row echelon form, matrix operations, inverses and determinants, linear independence, subspaces, linear transformations, eigenvectors and eigenvalues, diagonalization of matrices, Cayley-Hamilton theorem and various applications of linear algebra.
The second half of the unit is dedicated to calculus. Topics covered include: limits and continuity, L’Hôpital’s rule, infinite sequences and series, Taylor and general power series, solution of various types of differential equations such as separable and linear first and second order differential equations.
Sourced from the Monash Handbook 2026.
Quick facts
- Credit points
- 6
- Level
- 1
- Audience
- Undergraduate
- Type
- Coursework
- School
- Faculty of Science
- Faculty
- School of Mathematics
- Handbook year
- 2026
Prerequisites (1)
- Analysis of changeMTH1020
What it unlocks (25)
- AstronomyASP2011
- Introduction to astrophysicsASP2062
- Introduction to atmospheric physics and dynamicsEAE2122
- Climate dynamicsEAE3111
- Atmospheric physics for weather and climateEAE3121
- Probability and AI for engineersECE2191
- Innovation and research in computer scienceFIT2083
- Modelling for data analysisFIT2086
- Computational modelling and simulationFIT3139
- Multivariable calculusMTH2010
- Multivariable calculus (advanced)MTH2015
- Multivariate mathematics for data scienceMTH2019
- Linear algebra with applicationsMTH2021
- Linear algebra (Advanced)MTH2025
- Differential equations with modellingMTH2032
- Real analysisMTH2140
- Algebra 1: Group theoryMTH2141
- Mathematics of uncertaintyMTH2222
- Mathematics of uncertainty (Advanced)MTH2225
- Real analysisMTH3140
- Physics for engineeringPHS1002
- Classical physics and relativityPHS1011
- Fields and quantum physicsPHS1022
- Quantum and thermal physicsPHS2061
- Atomic, nuclear and condensed matter physicsPHS2081
Offerings (2)
- First semesterClayton · ON-CAMPUS
- Second semesterClayton · ON-CAMPUS
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