Mathematics Age 16 - 17

RELATIONS AND FUNCTIONS

Relations

Functions

MATRICES

Introduction to Matrices

Multiplication of Matrices

Inverse of a Matrix

DETERMINANTS

Introduction to Determinants

Properties of Determinants

Solution of Equation Using Determinants

PROBABILITY

Conditional Probability and Multiplication Theorem

Bayes' Theorem

Random Variable and Probability Distribution

Binomial Distrubution

Poisson Distribution

Normal Distribution

DIFFERENTIATION

Derivatives of Inverse Trignometric Functions

Logarithmic Differentiation

APPLICATION OF DERIVATIVES

Motion in a Straight Line and Under Gravity

Rate of Change of Quantities

Increasing and Decreasing Function

Maxima and Minima

Tangents and Normals

INTEGRATION

Methods of Integration

Special Integrals

Integration through Partial Fractions

Integration of Some Special Functions

Integration by Parts

Integration Using Reduction Formula

DEFINITE INTEGRALS

Definite Integrals as a Limit of Sum

Evaluation of Integrals

Properties of Definite Integrals

Area Under a Curve

DIFFERENTIAL EQUATION

Formation of Differential Equations

Solving Variable Separable and Homogenous

Solving Linear Equations with Constant Coefficients

THREE DIMENTIONAL GEOMETRY

Equation of Straight Line in Different Forms

Angle between Two Lines and Shortest Distance

Equation of Plane in Different Forms

Angle between Planes and Coplanarity

VECTORS

Introduction to Vectors

Scalar Product

Vector Product

Scalar Triple Product and Vector Triple Product

CORRELATION AND REGRESSION

Introduction to Correlation

Spearman's Rank Correlation

Concurrent Deviation

Regression and Regression Equations

LINEAR PROGRAMMING

Formulation of a Linear Programming Problem

Graphical Solution of a Linear Programming Problem