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VCE Common Specialist Mathematics (Unit 1/2)
VCE Specialist Mathematics (Unit 1/2)
Specialist Mathematics (Unit 1/2)
1. Logic and algebra  Boolean algebra and sets
1. Logic and algebra  Electronic gates and circuits
1. Logic and algebra  Premises and conclusions (natural language)
1. Logic and algebra  Propositions, connectives and truth tables
10. Graphs of nonlinear relations  Cartesian and polar coordinates
10. Graphs of nonlinear relations  Graphs of polar relations
10. Graphs of nonlinear relations  Locus definition algebra
10. Graphs of nonlinear relations  Parametric functions and graphs
10. Graphs of nonlinear relations  Reciprocal functions and graphs
10. Graphs of nonlinear relations  Sketching circles, ellipses and hyerbolas
11. Kinematics  Constant acceleration formulae
11. Kinematics  Position, velocity and acceleration basics
11. Kinematics  Velocitytime graphs
12. Statistics  Sample and population proportions
12. Statistics  Sample proportions with conditional probability
12. Statistics  Simple random sampling calculations
2. Trigonometry  asin(x)+bcos(x) identity
2. Trigonometry  Compound and double angle formulae
2. Trigonometry  Identities
2. Trigonometry  Maximum and minimum values
2. Trigonometry  Solving trigonometric equations
3. Linear transformations  Dilations, reflections and translations
3. Linear transformations  Invariance, area and determinant
3. Linear transformations  Rotations and reflections in y=mx
4. Number systems and recursion  Proof by induction and contradiction
4. Number systems and recursion  Sequences
4. Number systems and recursion  Series
5. Complex numbers  Modulus and conjugate
5. Complex numbers  Operations, simplifying, Re(z) and Im(z)
5. Complex numbers  Solving equations
6. Principles of counting  Inclusionexclusion principle
6. Principles of counting  nCr simplification with factorials
7. Graph theory  Edges, vertices, degree, faces and Euler's formula
7. Graph theory  Optimisation, existence, construction and counting problems
7. Graph theory  Types of graphs and adjacency matrices
7. Graph theory  Walks, trails, paths, cycles and circuits
8. Plane geometry and proof  Angle properties (lines and polygons)
8. Plane geometry and proof  Circle theorems
8. Plane geometry and proof  Pythagoras and trignometry in 2D and 3D
8. Plane geometry and proof  Similarity
8. Plane geometry and proof  Sine and cosine rules
9. Vectors  Magnitude and direction (incl unit, parallel and perpendicular vectors)
9. Vectors  Scalar (dot) product and vector resolutes
9. Vectors  Vector proofs
ℴ Extended reponse  Complex numbers
ℴ Extended reponse  Geometry in the plane and proof
ℴ Extended reponse  Graph theory
ℴ Extended reponse  Graphs of nonlinear relations
ℴ Extended reponse  Kinematics
ℴ Extended reponse  Linear transformations with matrices
ℴ Extended reponse  Logic and algebra
ℴ Extended reponse  Sequences and series
ℴ Extended reponse  Statistics
ℴ Extended reponse  Trigonometric functions
ℴ Extended reponse  Vectors
ℴ Extended reponse  Vectors