Mathematics and statistics for economics / G. S. Monga

Contents;

1. Review of Some Elementary Mathematics,
1 Algebraic Expressions
2 Properties of Exponents
3 Surds
4 Complex Numbers
5 Constants and Variables

2. Mathematical Reasoning,
1 Induction and Deductive Reasoning
2 Axiom Systems
3 Logic
4 Statements, Truth Tables and Q
5Types of statements

3. Sets and Relations,
1 Sets
2 Operations on Sets
3The Number of elements in a set
4 Ordered Pairs
5 Cartesian Product

4. The Number System,
1 Numbers
2 Axioms of Real Numbers
3 Interval Notation
4Mathematical Induction: A property of Natural Numbers
Summary of Properties of Algebraic Operations on Real Numbers

5. System of Equations and In equations Market Equilibrium,
1 Equations and Identities
2 Degree of an equation: Solutions
3 Systems of Simulataneous Equations
5 Graphs

6. Trigonometry,
1 Periodic Functions
2 Inverse Trigonometric Functions
3 Properties of the Triangle

7. Determinants and Matrices,
1 Determinants
2 Solution of two Simulatanoius equations by Determinants
3 Higher Order Determinanats
4 Some properties of Dterminants
5 Matrices

8. Analytical Geometry,
1 Points and Lines
2 Division of a Line
3 Area of a Triangle
4 Linear Functions
5 More on Lines

9. Functions and Limits,
1 Functions
2 Value of a Function at a Point
3 Value of some Functions
4 Algebra of Some Functions
5 Algebra and Transcendental Functions

10. Differential Calculus: Functions of One Variable,
1 Differaentiation
2 Rules of differentiation
3 Implicit Differentiation
4 Logarithimic Functions
5 Derivatives of Trigonomertic Functions

11. Differential Calculus: Functions of Two or More Variables,
1 Pertial Derivertives
2 The Total Differential
3 Partial Elasticities
4 Euler's Theorem
5 Maxima and Minima

12. Integral Calculus
1 The indefinite Intergral
2 Some Standard Forms
3 Intergration by Substitution
4 Intergration by Parts
5 Intergration by by Pertial fractions

13. Differential and Difference Equations,
1 Differential Equations
2 Domer Economic Groth Model
3 Domer Dbt Model:
4 Difference Equation
5 The Cobcueb Model

14. Input Output Economics,
1 Introduction
2 Economic Interdependence
3 Final Demand
4 Applications of Input Ouput Methods
5 Asumptions of Input Output A nalysis

15. National Income and Economic Accounting,
1 National Income
2 Economic Accounting
3 UN Sytem of National Accounts
4 Input Output Table and Economic Accounting
5 SAM

16. Linear Programming,
1 Programming in Economics
2 Optimisation( Minimistion or maximisation)
3 Applicatrions of Linear Pogramming Methods
4 Assumptions of Linear Programming
5 Formlation at LP Problems

17. Probability and Statistics,
1 The Concept of Propability
2 Some Definitions
3 A priori Propability
4 Propability: Different Approaches
5 Sets and Propability

18. Frequency Distributions,
1 Arranging Data
2 Frequency Distributions
3 Class Inrevals and Class Limits
4 The Histogram
5 The Frequency Polygon

19. Measures Central Tendency,
1 Average
2 The Arithimetic Mean
3 What is Weighing
4 When Sounds Weight be Used
5 The Geometric Mean

20. Dispersion, Descriptive Measures, Expectation, Movements,
1 Measures of Dispersion
2 The Range
3 The Quartile Deviation
4 The Mean Diviation
5 The Standard Deviation

21. Distributions-I: Some Theoretical Distributions,
1 Theoretical Distributions
2 The Binomial Distributions
3 The Poison Distribution
4 The Normal Distribution
5 The Central Limit Theorem

22. Distribution-II: Discrete and Continuous Distributions Exact Sampling Distributions,
1 Discret Propability
2 Uniform or Rectangular Distribution
3 Negative Binomial
4 Geometric Distribution
5 Hypergeometric Distribution

23. Correlation and Regression,
1 Relationships
2 Pearson's Qoeficinet of Correlation
3 Scatter Diagram
4 Spurious Correlation
5 Regression

24. Sampling,
1 Sampling
2 Variables: Quantitative and Qualitative
3 What is Random Variable
4 Finite and Idefinite Populations
5 What is a Dry Sample

25. Statistical Inference: Estimation,
1 Inference and Information
2 Estimation in Decsition Making
3 Estimators
4 Confidence
5 Efficient Estimators

26. Testing of Hypotheses,
1 What is a Hpothesis
2 Null and Alternative Hpothesis
3 Penalty
4 Standard Erro
5 Descision Rule

27. Analysis of Variance (Anova),
1 Introduction
2 ANOVA: One Way Classfication

28. Index Numbers,
1 Meaning and Types of Index Numbers
2 Price Index Numbers
3 Change of the Base Period

29. Time Series,
1 The Trend
2 Business Cycles
3 Business Forecasting
4 Seasonal Effects
5 Time Series and Frequency

30. Compilation and Presentation of Statistics
1 Statistical Inquiries
2 Frame ans Design
3 Nature and Types of Inquireis
4 Designing a Quationre
5 Checking and Editing of Data