Mathematics

• Work, Time and Speed
• Compound Interest
• Banking and Taxation
• Elementary Rules and Flowcharts

Statistics

• Frequency Distribution
• Graphical Representation of Data
• Measures of Central Tendency (Mean, Median, Mode)
• Measures of Dispersion (Variance and Standard Deviation)
• Birth and Death Statistics 
• Indices

Algebra

• Polynomials and their Factors
• Logarithms
• Linear Equation in Two variables
• Quadratic Polynomials and Equations
• Ratios and Proportions
• Number System and Set Operations
• Simultaneous Equations (Three Variables)

Determinants and Matrices

• Determinants up to 3*3 Order
• Properties of Determinants (Kramer’s Rule)
• Types of Matrices and Matrix Operations
• Symmetric and Skew-Symmetric Matrices
• Solution of Simultaneous Equations Using Inverse Matrix

Set Theory and Probability

• Laws of Set Algebra
• Relations and Mappings
• Equivalence and Composition of Mappings
• Addition and Multiplication principles in Probability

Real Analysis

• Real Numbers and Countability
• Limits
• Continuity and Differentiability
• Bolzano-Weierstrass Theorem
• Cauchy Sequences and Their Convergence
• Theorems on Continuity and Diffrentiability

Trignometry

• Trigonometric Ratios and Identities
• Inverse Trigonometric Functions
• Heights and Distances
• Trigonometric Equations and Solutions
• Properties of Circular and Convex Functions

Complex Numbers

• Sum and Products of Complex Numbers 
• De Moiver’s Theorem and its Applications
• Exponential and Logarithmic Functions of Complex Numbers

Geometry

• Pythagoras Theorem and its Applications
• Circles
• Segments and Chords
• Tangents 
• Secants and Angels in Circles
• Similarity of Plane Figures

Coordinate Geometry

• Equation of Lines and Planes
• Homogeneous Equations of Second Degree
• Conic Sections (Circle, Parabola, Ellipse, Hyperbola)
• Tangents
• Normals and their Properties
• Three- Dimensional Geometry (Sphere, Cone, Cylinder)

Calculus

• Differentiation: Algebraic, Trigonometric, Exponential and Logarithmic