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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
Solving Linear Systems of Equations, No Solutions, Unique Solutions, Infinite Solutions
Operations with Complex Numbers, Polar Form, Euler's Formula, Argand Diagram, Roots of Complex Numbers.
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