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Advanced engineering mathematics
ENG2005
Synopsis
This unit introduces advanced mathematical concepts required for all disciplines of engineering that extend on the concepts in ENG1005 Engineering mathematics.
Major concepts taught using engineering contexts include multivariable and vector calculus, Fourier series and partial differential equations. Specific topics include partial derivatives, double and triple integrals with change of coordinates, vector functions and operators, parametric curves and surfaces, periodic functions, Laplace transforms, ODE boundary value problems, partial differential equation solution techniques and applications.
Sourced from the Monash Handbook 2026.
Quick facts
- Credit points
- 6
- Level
- 2
- Audience
- Undergraduate
- Type
- Coursework
- School
- Faculty of Engineering
- Handbook year
- 2026
Prerequisites (1)
- Engineering mathematicsENG1005
What it unlocks (63)
- Introduction to astrophysicsASP2062
- Stars and galaxiesASP3012
- Relativity and cosmologyASP3051
- Computational astrophysics and the extreme universeASP3162
- Process controlCHE3162
- Transport phenomena and numerical methodsCHE3167
- Geomechanics 2CIV3247
- Groundwater and environmental geomechanicsCIV3248
- Engineering hydrologyCIV3285
- Autonomous vehicle systemsCIV4100
- Advanced structural analysisCIV4234
- Ground hazards engineeringCIV4248
- Water security in a changing climateCIV4268
- Sustainable traffic systemsCIV4284
- Smart urban mobility and digital twinsCIV4802
- Electric mobilityCIV4803
- Dynamical meteorologyEAE3152
- Signals and systemsECE2111
- Probability and AI for engineersECE2191
- Optimisation and numerical methods for engineersECE3093
- Engineering electromagneticsECE3121
- Control system designECE4132
- Neural networks and deep learningECE4179
- Building sustainabilityENE3031
- Quantifying sustainability in urban systemsENE4043
- AI applications for civil and environmental engineersENE4044
- Aerospace dynamics 2MAE3002
- Systems and controlMEC3457
- Mechanics for biomedical engineeringMEC3601
- Introduction to reliability engineeringMEC3800
- Biomedical engineering and healthcare systemMEC3828
- Numerical methods and machine learningMMA3001
- Materials in a complex world 1: People, projects and dataMTE2204
- Materials in a complex world 1: People, projects and dataMTE3101
- Electronic and photonic materialsMTE3104
- Nuclear energy: Science, technology and societyMTE4235
- From continuum to quantumMTE4590
- Introduction to computational mathematicsMTH2051
- Number theory and cryptographyMTH2137
- Mathematics of uncertaintyMTH2222
- Mathematical statisticsMTH2232
- Complex analysis and integral transformsMTH3020
- Complex analysis and integral transform (Advanced)MTH3025
- Differential geometryMTH3110
- Differential geometry (Advanced)MTH3115
- Random processes in the sciences and engineeringMTH3241
- Fluid dynamicsMTH3360
- Quantum and thermal physicsPHS2061
- Electromagnetism and opticsPHS2062
- Quantum mechanicsPHS3101
- Mine geotechnical engineeringRSE3010
- Resource estimationRSE3020
- Ventilation for surface and underground spacesRSE3030
- Mining systemsRSE3040
- Rock breakageRSE3060
- Solar energyRSE3141
- HydropowerRSE3241
- Geothermal energyRSE3242
- BioenergyRSE3243
- Mine and tunnel planningRSE4010
- Dynamical systemsTRC3200
- Feedback control systemsTRC3600
- Thermo-fluids and power systemsTRC4802
Offerings (4)
- First semesterClayton · FLEXIBLE / Malaysia · ON-CAMPUS
- Second semesterClayton · FLEXIBLE / Malaysia · ON-CAMPUS
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- Chemical engineeringPart C. Chemical engineering knowledge and application
- Civil engineeringPart C. Civil engineering knowledge and application
- Electrical and computer systems engineeringPart C. Electrical and computer systems engineering knowledge and application
- Environmental engineeringPart C. Environmental engineering knowledge and application
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- MathematicsDouble degree with engineering option (except software engineering)
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- Pure mathematicsDouble degree with engineering option (except software engineering)
- Pure mathematicsDouble degree with engineering option (except software engineering)
- Materials engineeringPart C. Materials engineering knowledge and application
- Mechanical engineeringPart C. Mechanical engineering knowledge and application
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- PhysicsDouble degree with engineering requirements
- PhysicsDouble degree with engineering requirements
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- Robotics and mechatronics engineeringPart C. Robotics and mechatronics engineering knowledge and application