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Mathematics and Statistics

BI 1184

New

According to New Revised Syllabus w.e.f. 2009 PUNE, Maharashtra (INDIA)

Text Book of Mathematics and Statistics

FY BCom

Author : Surendra Ghatpande

Book ID : 1184

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Rs.189

Rs.210

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Contents

1. Interest

1.1 Simple interest

1.2 Compound interest

1.3 Compound interest when period is different from a year

1.4 Compound interest on a given sum in the Kth year

1.5 Effective rate of interest

1.6 Simple annuities

1.7 Definitions and terms

1.8 Immediate annuity and annuity due

1.9 Equated monthly installments

1.10 Flat Interest Rate

2. Shares and Dividends

2.1 Introduction

2.2 Share capital

2.3 Types of shares

2.4 Dividend

2.5 Debentures

2.6 Bonus shares

2.7 Stock exchange, face value, market value of shares

3. Derivative of a Function

3.1 Sets and relations

3.2 Equality of sets

3.3 Some special sets

3.4 set operations

3.5 ordered pairs

3.6 Relation

3.7 Function

3.8 Representation and a function

3.9 Range of a function

3.10 Types of function

3.11 Limit of a function

3.12 Standard results

3.13 Algebra of limits

3.14 Limits of exponential and logarithmic function

3.15 Continuity of a function at a point

3.16 Continuity of standard functions

3.17 Algebra of continuous functions

3.18 Derivative of a function

3.20 Derivatives of some standard function

3.21 Algebra of derivatives

3.22 Applications of derivative to commerce and economics

4. Population and Sample

4.1 Introduction

4.2 Definitions

4.3 Functions of statistics

4.4 Importance

4.5 Scope of statistics

4.6 Limitations of statistics

4.7 Statistical population

4.8 Census

4.9 Sampling

4.10 Advantages of sampling

4.11 Sampling methods

4.12 Simple Random Sampling (SRS)

4.13 Stratified random sampling

4.14 Systematic sampling

5. Measures of Central Tendency

5.1 Introduction

5.2 Classification

5.3 Frequency distribution

5.4 Methods of classification

5.5 Cumulative frequency distribution

5.6 Guidelines to prepare frequency distribution

5.7 Graphical representation

5.8 Introduction to measures of central tendency

5.9 Requisites of a good average

5.10 Different averages

5.12 Empirical relation

5.13 Solved Examples

6. Matrices and Determinants

6.1 Determinants

6.2 Determinant of order three

6.3 Properties of determinants

6.4 Matrices

6.5 Types of matrices

6.6 Transpose of a matrix

6.7 Determinant of a square matrix

6.8 Singular and non – singular matrices

6.9 Algebra of matrices

6.10 Minors and cofactors

6.11 Adjoint of a square matrix

6.12 Inverse of a matrix

6.13 System of linear equation

7. Linear Programming Problems

7.1 Introduction

7.2 Features of operations research

7.3 Mathematical model

7.4 Linear programming

7.5 Solution of linear programming problem by graphical method

7.6 Graphical solution to simultaneous equations

7.7 Graphs of linear inequalities

7.8 Graphical method of solving a linear programming problem

8. Measures of Dispersion

8.1 Introduction

8.2 Significance of measuring variation

8.3 Properties of a good measure of dispersion

8.4 range

8.5 Variance and standard deviation

8.6 Relative measures of dispersion

9. Correlation and Regression

9.1 Introduction

9.2 Simple correlation

9.3 Scatter diagram

9.4 Covariance

9.5 Coefficient of correlation

9.6 Regression analysis

9.7 Regression line of Y on X

9.8 Correlation and regression analysis

10. Index Numbers

10.1 Introduction

10.2 Definitions

10.3 Index number as economic barometer

10.4 Types of index numbers

10.5 Problems in construction of index numbers

10.6 Construction of index numbers

10.7 Cost of living index

10.8 Commonly used index number in India

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