#### Topics

##### Mathematical Logic

##### Mathematical Logic

##### Matrices

##### Differentiation

##### Applications of Derivatives

##### Integration

##### Definite Integration

##### Applications of Definite Integration

##### Differential Equation and Applications

##### Matrices

##### Commission, Brokerage and Discount

##### Insurance and Annuity

##### Linear Regression

##### Time Series

##### Index Numbers

- Index Numbers
- Types of Index Numbers
- Index Numbers - Terminology and Notation
- Construction of Index Numbers
- Simple Aggregate Method
- Weighted Aggregate Method
- Cost of Living Index Number
- Method of Constructing Cost of Living Index Numbers - Aggregative Expenditure Method
- Method of Constructing Cost of Living Index Numbers - Family Budget Method
- Uses of Cost of Living Index Number

##### Linear Programming

##### Assignment Problem and Sequencing

##### Probability Distributions

- Mean of a Random Variable
- Types of Random Variables
- Random Variables and Its Probability Distributions
- Probability Distribution of Discrete Random Variables
- Probability Distribution of a Continuous Random Variable
- Binomial Distribution
- Bernoulli Trial
- Mean of Binomial Distribution (P.M.F.)
- Variance of Binomial Distribution (P.M.F.)
- Poisson Distribution

##### Continuity

##### Differentiation

##### Applications of Derivative

##### Indefinite Integration

##### Definite Integrals

##### Ratio, Proportion and Partnership

##### Commission, Brokerage and Discount

##### Insurance and Annuity

##### Demography

##### Bivariate Data and Correlation

##### Regression Analysis Introduction

##### Random Variable and Probability Distribution

##### Management Mathematics

- Matrices
- Determinants
- Cramer’s Rule
- Application in Economics

## Notes

A matrix is an ordered rectangular array of numbers or functions. The numbers or functions are called the elements or the entries of the matrix. We denote matrices by capital letters. The following are some examples of matrices:

A =`[(-2,5),(0, sqrt 5) , (3,6)] , B = [(2+i,3 , -1/2),(3.5,-1,2),(sqrt3 , 5 , 5/7)] , C = [(1+x , x^3,3),(cos x , sin x + 2 , tan x)]`

In the above examples, the horizontal lines of elements are said to constitute, rows of the matrix and the vertical lines of elements are said to constitute, columns of the matrix. Thus A has 3 rows and 2 columns, B has 3 rows and 3 columns while C has 2 rows and 3 columns.

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