Fact Sheets

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Functions
Complex Numbers
Vectors
What is a Complex Number
The Conjugate of a Complex Number
Addition and Subtraction
Multiplication and Division
De Moivre's Theorem
Euler's Formula
What is a Vector?
Scalar Multiplication
Addition and Subtraction
Perpendicular Unit Vectors
Dot Product
Cross Product
Vector Application - Force
Differentiation
Integration
Matrices
What is Differentiation?
Rates of Change
Rules of Differentiation
Special Functions
Curve Sketching I
Curve Sketching II
Differentiation Application - Optimisation
Differentiation Application - Velocity & Acceleration
What is Integration?
Indefinite Integrals
Rules of Integration
Definite Integrals
Integration Techniques
Integration Application - Revenue
Addition and Subtraction
Matrix Multiplication
Determinants
Inverse of a Matrix
Systems of Linear Equations
Solution Sets
Gaussian Elimination
Gauss-Jordan Elimination
Matrix Translations
Matrix Rotations
Trigonometry
Numberline and Inequalities
Differential Equations
Degrees and Radians
Right Angled Triangles
Trigonometric Ratios
Area of a Triangle
Sine and Cosine Rules
Graphing Trig. Functions
Proving Trig. Identities
Trigonometry Application - Real World Application
What is a Differential Equation?
Degree and Order
Solution Techniques
Sequences and Series
Graph Theory
What is a Sequence?
Bounded Sequences
Increasing/Decreasing Sequences
Converging/Diverging Sequences
Properties of Sequences
Limit of a Sequence
What is a Series?
Sigma Notation
Sn Notation
Converging/Diverging Series
Terminology
Complete Graphs
Isomorphic Graphs
Planar Graphs
Representation of Graphs
Eulerian/Hamiltonian
Trees