Arithmetic and Gemoetric Sequences, Arithmetics and Geometric Series, Sigma Notation, Financial Mathematics
Operations with Complex Numbers, Polar Form, Euler's Formula, Argand Diagram, Roots of Complex Numbers.
Matrix Operations, Determinants, Inverses, Transformations, and Applications to Systems of Equations, Eigenvalues & Eigenvectors.
Simultaneous Systems of Equations, Quadratic Equations, Cubic Equations.
Parallel and Perpenficular Lines, Gradients, Linear Lines, Points of Intersection, Equation of a Line
Inverse Functions, Quadratic Functions, Logarithmic Functions, Real World Application of Functions
Reflection in x-axis and y-axis, Stretching, Scaling, Horizontal and Vertical Translations, Images.
Sin/Cos/Tan, Sine and Cosine Rules, Arcs, Sectors, Circles, Areas of Triangles/Circles/Sectors
Periodic Functions and Their Graphs, Amplitude, Period, and Phase Shift, Trigonometric Identities and Equations, Applications in Real-World Problems.
Nearest Neighbour Interpolation, Perpendicular Bisectors, Edges, Vertices, Sites.
Translations, Rotations, Reflections, Stretches, Symmetry, and Their Applications in Real-World Contexts.
Vector Operations, Dot Product, Cross Product, Vector Equations, Scalar Multiplication, Vector Geometry, Applications in Physics and Engineering.
Vertices, Edges, Paths, Cycles, Graph Models, Connectivity, Eulerian and Hamiltonian Paths, Graph Coloring, Applications in Networks and Optimization.
Interquartile Range, Cumulative Frequency Graphs, Box-and-whisker Plots, Mean, Median, Mode, Standard Deviation.
Pearson and Spearman Correlation, Scatterplots, Linear Regression, Extrapolation, Real Life Application of Regressions.
Sample Space, Tree Diagrams, Venn Diagrams, Conditional Probabilities, Basic Probabilities.
Binomial Distributions, Normal Distributions, Probability Distributions, Real-life Application of Probabilities.
Formulation of Hypotheses, Significance Levels, P-values, T-tests, Chi-square Tests of Indepdendence.
Central Limit Theorem, Confidence Levels, Critical Values, Unbiased Estimators, Validity of Claims.
Equations of Tangents and Normals, Local Maximum and Minimum, Rates of Change, Optimization.
Anti-differentiation, Area Under the Curve, Trapeziodal Rule
Velocity, Displacement, Total Distance, Acceleration, Applications in Real-life Scenarios.
Solving Differential Equations, Euler's Method, First and Coupled Order Differential Equations, Application to Real-life Scenarios.