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VCE Common Specialist Mathematics
VCE Specialist Mathematics
Specialist Mathematics
1 Vectors  cartesian equations (incl 3D), planes, gaussian elimination and cross product)
1 Vectors  Linear Dependence and Independence
1 Vectors  Perpendicular Vectors, Modulus and Miscellaneous
1 Vectors  Scalar and Vector Resolutes
1 Vectors  The Angle Between Two Vectors
1 Vectors  Vector functions and Kinematics
2 Complex Numbers  Converting to Polar Form and De Moivre's Theorem
2 Complex Numbers  Factorising and Solving
3 Trigonometry  Compound and Double Angle Formulas, Symmetries and Identities (Year 11 Revision)
4 Differentiation  Differentiation (including Inverse Circular Functions)
4 Differentiation  Graphical Analysis Using Second Derivatives
4 Differentiation  Implicit Differentiation
4 Differentiation  Related Rates of Change
5 Functions  Absolute Value Functions
5 Functions  Hyperbolas, Ellipses and Circles
5 Functions  Reciprocal, Rational and Quotient Functions
6 Integration  Arc Length
6 Integration  Area Under a Curve
6 Integration  Integration Techniques: Miscellaneous
6 Integration  Integration Techniques: Substitution
6 Integration  Volumes of Solids of Revolution
7 Differential Equations  Direction (Slope) Fields
7 Differential Equations  Euler's Method
7 Differential Equations  InflowOutflow Mixing Problems
7 Differential Equations  Interpreting DEs, Verifying Solutions and Solving
7 Differential Equations  Separation of Variables
8 Kinematics  Alternate Forms: a(v), a(x), v(x), t(v), t(x)
8 Kinematics  Constant Acceleration Problems
8 Kinematics  VelocityTime Graphs and Basic x(t)  v(t)  a(t) Conversion
Logic and Proof
ℴ10. Probability and Statistics  Confidence Intervals for Means
ℴ10. Probability and Statistics  Hypothesis Testing
ℴ10. Probability and Statistics  Linear Combinations of Random Variables
ℴ10. Probability and Statistics  Sample Mean Distributions
ℴ11. Extended Response  Calculus
ℴ11. Extended Response  Calculus  Differential Equations
ℴ11. Extended Response  Complex Numbers
ℴ11. Extended Response  Kinematics
ℴ11. Extended Response  Probability and Statistics
ℴ11. Extended Response  Vector Functions
ℴ11. Extended Response  Vectors
X Complex Numbers  Relations in the Complex Plane
X Complex Numbers  Relations in the Complex Plane