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Mathematics
Computation and magnitude
Percentages
Ratios
Scientific notation and significant figures
Logarithms and orders of magnitude
Sequences & Recursion
Arithmetic Sequences
Geometric Sequences
Recurrence Relations
Recursion for Financial Maths
Financial arithmetic
Core Concepts of Financial Mathematics
Financial Decision Making
Value Over Time and Depreciation
Advanced Financial Modelling and Applications
Linear functions, graphs and equations
Solving linear equations and inequalities
Graphing linear functions
Solving simultaneous linear equations
Polynomials and power functions
Quadratics
Cubics and quartics
Hyperbolas and truncuses
Exponential and logarithmic functions
Solving exponential and logarithmic equations
Graphs of exponential and logarithmic functions
Circular functions
The unit circle
Solving trigonometric equations
Circular functions graphs
Functions and operations
Basics of functions
Composite functions
Combined functions
Differentiation
Average rate of change
Instantaneous rate of change
Common derivatives and differentiation techniques
Derivative graphs
Stationary points
Applications of differential calculus
Antidifferentiation and integration
Common antiderivatives
Area estimation techniques
Fundamental theorem of calculus and the definite integral
Area under a curve and between curves
Applications of integration
Applications to continuous probability
Data distributions
Types of data
Choosing the appropriate data display
Linear regression and linear relations
Response and explanatory variables and association
Correlation and least squares regression line
Variation and transforming data
Variation
Modelling and transforming data
Time series
Probability and distributions
Basic probability
Discrete random variables
Binomial distribution
Continuous random variables
Normal distribution
Statistical inference
Shape and measurement
Perimeter and area
Pythagoras theorem
Surface area and volume
Trigonometry
Finding unknown sides or angles
Angles of elevation and depression
Bearings and navigation
Sine and cosine rules
Matrices
Basics of matrices
Matrix multiplication and inverses
Transition matrices
Communication and dominance in matrices
Graphs and networks
Basics of graphs and networks
Walks, trails, paths, cycles and circuits
Shortest path
Trees
Matching
Directed networks
Mathematics Glossary
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Mathematics Glossary
Mathematics Glossary
