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MATHS AASL TOPICS
Topic 1
Number & Algebra
Sequences & Series
Arithematic & Geometric , Sigma Notation , Applications , Compound Interest .
Laws of Exponents
Log Laws,
Exponents Equations
Log Equations
Binomial Theorem
Binomial Expansion ,
Binomial Theorem
Pascal's Triangle
The Binomial Coffecient.
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Proofs
Mathematical Induction
Contradiction
Counterexample
Simple deduction
Topic 2
Functions
Properties of Functions
Domain , Range
Composite and Inverse Functions
Max & min , Intersects , Intercepts , Sketching
Quadratics
Quadratic Functions and Equations , Completing Square ,
Discriminant,
Vertex .
Rational Functions
Asymtotes, Intercepts , Sketching, Reciprocal Functions
GDC
Exponents & Log Functions
Exponential & Logarithmic Functions , Graphs, Asymptotes,
Intercepts
Transformations
Translations , Reflections , Stretches , Dilations , Rotations of Functions and Composite functions
Topic 3
Geometry & Trigonometry
Geometry and Shapes
2D & 3D shapes , Circles ,
Sectors, Arcs, Traingle,
Sine and Cos Rules , Ture Bearings ...
Trignometric Functions
Circular Functions , Unit Circle ,
Trigonometric Ratios, Identities , Solving , Trigonometric Equations and Graphs
Topic 4
Statistics & Probability
Statistics
Mean, median, Mode,
Variance
Standard Deviation
IQR, Box & Whiskers
Cumulative Frequency
Bi Variate Statistics
Regression Equation
Correlations Coefficient 'r'
Strength of correlation
Applications
Probability
Probability Basics, Venn & Tree Diagrams
Combined Events, Independent and Mutually Exclusive
Conditional Probability
Distributions
Probability Distributions
Binomial & Normal Distributions
Random Variables
Applications
Topic 5
Calculus
Differential Calculus
Rules of Differentiation , Curve Properties, Optimisations rules, L Hospitals Rule
Integral Calculus
Integration Rules and Techniques, Area Under the curve and between limits
Volume of Solids & applications
Kinematics
Using Calculus to determine Displacement, Velocity , acceleration , using graphs and GDC