Arithmetic and Gemoetric Sequences, Arithmetics and Geometric Series, Sigma Notation, Financial Mathematics.
Solving Exponential and Logarithmic Equations, Principles of Logarithms and Exponents.
Binomaial Expansion, Pascal's Triangle, Finding Coefficients of Expansion Terms.
Deductive Proofs, LHS Equals RHS Proofs.
Permutations, Combinations, Product Principle, Sum Principle.
Operations with Complex Numbers, Polar Form, Euler's Formula, Argand Diagram, Roots of Complex Numbers.
Solving Linear Systems of Equations, No Solutions, Unique Solutions, Infinite Solutions
Domain and Range of Functions, Intercepts, Maximum and Minimum, Inverse Functions, Graph Sketching.
Quadratic Functions, Discriminant, Vertex, Completing the Square.
Horizontal and Vertical Asymptotes, Function Intercepts, Composite Functions.
Exponential Functions, Logarithmic Functions, Exponential Graphs, Logarithmic Graphs.
Function Translations and Shifts, Stretches, Reflections, Graph Sketching with Transformations.
Long Division, Quotients, Sum of Roots, Product of Roots, Remainders, Factorisation
Solving Inequalities, Modulus Functions, Solving Systems of Inequalities
2D and 3D Shapes, Arcs, Sectors, Sine Rule, Cosine Rule, Bearing, Areas.
Trigonometric Ratios, Trigonometric Identities, Graphs, Trigonometric Equations.
Vector Operations, Dot Product, Cross Product, Vector Equations, Scalar Multiplication, Vector Geometry, Applications in Physics and Engineering
Interquartile Range, Cumulative Frequency Graphs, Box-and-whisker Plots, Mean, Median, Mode, Standard Deviation.
Pearson and Spearman Correlation, Scatterplots, Linear Regression, Extrapolation, Equations of the Line.
Sample Space, Tree Diagrams, Venn Diagrams, Conditional Probabilities, Basic Probabilities, Independent Events.
Binomial Distributions, Normal Distributions, Probability Distributions, Real-life Application of Probabilities.
Maximum and Minimum of Functions, Tangents, Normals, Gradients, Points of Inflection.
Anti-differentiation, Area Under the Curve, Area Between Curves, Integration Rules, Integration by Substitution
Velocity, Displacement, Total Distance, Acceleration, Applications in Real-life Scenarios.
Series Expansions, Approximation Techniques, Limits, Nonzero Terms, Differentiation
Solving Differential Equations, Euler's Method, First and Coupled Order Differential Equations, Application to Real-life Scenarios.