UNIT

CHAPTER

SUBUNIT

1

Algebra


2

Probability Distributions


3

Calculus


4

Differential Equations


5

Linear Programming


6

Integration and its Applications

UNIT

CHAPTER

SUBUNIT

RELATIONS AND FUNCTIONS

Inverse Trigonometric Functions


Relations and Functions


ALGEBRA

Matrices


Determinants



CALCULUS

Continuity and Differentiability


Applications of Derivatives



Integrals



Applications of the Integrals


Differential Equations


VECTORS AND THREEDIMENSIONAL GEOMETRY

Vectors


Threedimensional Geometry



LINEAR PROGRAMMING


PROBABILITY


UNIT

CHAPTER

SUBUNIT

NUMBERS, QUANTIFICATION, AND NUMERICAL APPLICATIONS

Modulo Arithmetic


Allegation and Mixture



Partnership


Numerical Problems


Boats and Streams



Pipes and Cisterns



Races and Games



Congruence Modulo


Numerical Inequalities


ALGEBRA

Matrices and types of matrices


Equality of matrices, Transpose of matrix, Symmetric and Skew symmetric matrix


CALCULUS

Maxima and Minima


Marginal Cost and Marginal Revenue using derivatives


Higher Order Derivatives


PROBABILITY DISTRIBUTIONS

Probability Distribution


Variance



Mathematical Expectation



INDEX NUMBERS AND TIME BASED DATA

Index Numbers


Construction of Index numbers


Test of Adequacy of Index Numbers



INDEX NUMBERS AND TIME BASED DATA

Population and Sample


Parameter and Statistics and Statistical Interferences



INDEX NUMBERS AND TIMEBASED DATA

Time Series


Components of Time Series


Time Series analysis for univariate data



FINANCIAL MATHEMATICS

Perpetuity, Sinking Funds


Valuation of Bonds


Calculation of EMI


Linear method of Depreciation


LINEAR PROGRAMMING

Introduction & related terminology


Different types of Linear Programming Problems


Feasible and infeasible solutions, optimal feasible solution


Graphs show how to solve problems with two variables.


Infeasible and Feasible Regions


Mathematical Formulation of Linear Programming Problem
