**VCE Mathematics**

Methods, Further and Specialist Maths.

**Engineering Mathematics**

Vector algebra and geometry; Matrix operations, eigenvalues and eigenvectors; Calculus including logarithmic differentiation, improper integrals, integration by parts; Sequences and series including Taylor polynomials; Ordinary differential equations (ODEs); Multivariable calculus including partial derivatives and chain rule. ENG1091, MTH1020 (Monash University), MAS120 (Murdoch University)

**Advanced Engineering Mathematics**

Multivariable calculus: double and triple integrals, parametric representation of lines and curves in three dimensional space, use of Cartesian, Cylindrical and Spherical coordinates. Surface and volume integrals: solve operations of the gradient, divergence and curl. Ordinary differential equations: find systems of linear differential equations and the 2nd order Sturm-Liouville type problems. Topics: Laplace Transforms, Fourier Series, Fourier Transforms, Calculus of vector functions, Line Integrals, Surface Integrals, Volume Integralsand Integral Theorems that includes Green’s Theorem, Gauss Divergence Theorem and Stoke’s Theorem. ENG2091 (Monash University), MATH2115, MATH2169 (RMIT University)

**Engineering Structures**

Design of beams continues the theme of engineering statics through introduction to shear forces, bending moments and stress, and deflection. Knowledge of basic structural form and how structures carry load; static equilibrium; limit state concepts; truss analysis and stability; shear force and bending moment diagrams; buckling and serviceability; equilibrium and compatibility. ENG1210 (Moansh University)

**Electrical and Circuit Theory **

Introduction to electrical engineering including Charges, Current, Voltage, Power and Energy, Ohm's law, Kirchhoff's laws, Resistive Networks, Thevenin’s and Norton’s equivalent circuits and DC Network Analysis. EEET2249 (RMIT University)

**Statics, Dynamics and Mechanics**

Kinematics of particles and rigid bodies; Free body diagrams; The concept of work, energy and power; Forces and torques applied to rigid bodies undergoing translation or rotation; Free and damped vibration and engineering applications. Kinematics of gears and geared systems including compound epicyclic gears; Friction, and the kinetics of belts and belt drives. The modelling of stress in axial, torsional and flexural when loads are applied to a body in static equilibrium. ENG1040 (Monash University), ENGR20004 (University of Melbourne)

**Fluid Mechanics**

Hydrostatics, Reynolds transport theorem, continuity and momentum equations, control volume analysis, the Bernoulli equation, viscous pipe flow, pumps, dimensional analysis, boundary layers, flow measurement techniques and applications of fluid forces in flow - lift and drag. MEC2404, MEC3451 (Monash University)

**Thermodynamics and Heat Transfer**

Heat, work, energy, temperature and pressure; finding the properties of pure substances, steam tables and phase diagrams. First and Second Laws of Thermodynamics and their use in steady and unsteady state problems, Carnot cycle, Gas power cycles, vapour and combined power cycles are introduced. Use of T-s diagrams for power cycle analysis, P-h diagrams in refrigeration cycle analysis and simple combustion processes are covered. MEC2405, MEC3454 (Monash University)

**Systems and Control**

The combined concept of resistance, capacitance and inertia/inductance to perform physical modeling of mechanical, fluidic, hydraulic and pneumatic systems; Block diagrams, Bode plot, Root locus, Nyquist plot and Signal flow graphs. ELE2103 (University of Southern Queensland), MEC3457 (Monash University)

**Solid Mechanics, **MEC3455 (Monash University), MEE30004 (Swinburne University)

**Linear Programming, **MFET5044 (University of South Australia)**Programming, **Python, PHP, Perl, Pascal, Java, HTML, CSS and JavaScript, SQL, MySQL, C or C++, C#, Pseudocode, Algorithms and Data Structures, Theory of Computation, Discrete Mathematics for Computer Science.

Engineering Technical Software,