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VCE Common Specialist Mathematics
VCE Specialist Mathematics
Specialist Mathematics
Absolute Value Functions
Applications of Integration  Area of Curves
Applications of Integration  Lengths of Curves
Applications of Integration  Volumes of Solids of Revolution
Basic Operations and Magnitude of the Vector
Circular Functions
Complex Numbers  Argan Diagrams and Complex Plane
Complex Numbers  Basic Operations
Complex Numbers  Converting Modulus & Cartesian Form
Complex Numbers  De Moivre's Theorem
Complex Numbers  Factorising and Solving Polynomials Over C
Complex Numbers  Polar Form
Compound and Double Angle Formulas
Confidence Intervals for Means
Definite Integrals
Derivatives of Inverse Circular Functions
Describing the Mechanics of Objects
Differential Equations  Eulers Method
Differential Equations  Slope Fields
Differential Equations  Solving Differential Equation Problems
Differential Equations  Solving Numerical Differential Equations of Different Forms
Differential Equations  Verifying Solutions of Differential Equations
Domain and Range of Functions
Hypothesis Testing for a Population Mean
Implicit Differentiation
Inverse Circular Functions
Kinematics  Basic Motion Problems
Kinematics  Calculus & the Kinematics of a Particle
Kinematics  Using Graphs to Analyse Rectilinear Motion
Linear Combinations of Random Variables
Linear Dependence and Independence
Mechanics  Basics
Mechanics  Equations of Motion
Mechanics  Motion of a Body under Concurrent Coplanar Forces
Parallel and Perpendicular Vectors
Parametric Equations
Partial Fractions
Rational Functions
Reciprocal Circular Functions
Related Rates of Change
Relationships Between Functions & Antiderivatives
Sample Means
Scalar and Vector Resolute
Second Derivatives and their Application
Solving Equations and Factorisation
Techniques of Integration (Including Antidifferation)
Vector Calculus  Sketching Position Vector Paths
Vector Calculus  To Determine Kinematics
Vector Proofs
Vector Proofs