Mathematics

Sets, relations, functions, trigonometric functions, identities, equations, and triangle applications.

• Sets
• Relations and Functions

Induction, complex numbers, quadratic equations, counting, binomial theorem, sequences, and series.

• Principle of Mathematical Induction
• Complex Numbers

Straight lines, shifting origin, slope, angle between lines, line equations, point-line distance, and circles.

• Straight Lines
• Circles

Limits and derivatives as rates of change, tangent slopes, and rules for common functions.

• Limits and Derivatives

Dispersion, frequency distributions, random experiments, events, and axiomatic probability.

• Statistics
• Probability

Sections of a cone, degenerate conics, and standard equations of parabola, ellipse, and hyperbola.

• Conic Sections

Coordinate axes, coordinate planes, coordinates of points, distance formula, and section formula in three dimensions.

• Coordinate Axes and Planes
• Distance and Section Formula in 3D

Statements, connectives, implication, necessary and sufficient conditions, converse, contradiction, and contrapositive.

• Statements and Connectives
• Converse, Contrapositive and Contradiction

Optional applied statistics section covering statistics, correlation, index numbers, and moving averages.

• Statistics
• Correlation Analysis