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subject outline

Calculus
- Differentiation and Integration
- Applications of Differentiation
- Integral of Polynomials
Matrices and Determinants
- Matrix Operations
- Determinants and Inverses
- Solving Simultaneous Equations
Probability and Statistics
- Mean, Median, and Mode
- Permutations and Combinations
- Probability Distributions
- Standard Deviation
Complex Numbers
- Basic Operations
- Polar and Cartesian Forms
- Modulus and Argument
- Conjugates and Imaginary Numbers
Algebra and Functions
- Quadratic Equations and Inequalities
- Partial Fractions
- Binomial Theorem
- Logarithms
Trigonometry
- Sine and Cosine Rules
- Graphs of Trigonometric Functions
- Trigonometric Identities
Coordinate Geometry
- Equation of a Straight Line
- Circles and Conic Sections
- Midpoints, Gradients, and Distances
- Vectors
Mechanics and Kinematics
- Vector Addition and Subtraction
- Relative Velocity
- Equilibrium of Forces
- Equations of Motion
- Projectiles
- Acceleration Calculation
Sequences and Series
- Arithmetic and Geometric Progressions
- Sum of Finite and Infinite Series
- Convergence and Divergence

Topics

Differentiation and Integration
First and second derivatives, finding maxima and minima, definite and indefinite integrals, applications in motion and growth.