BASIC QUANTITATIVE METHODS FOR PLANNING

 

CHAPTERS

​

1. INTRODUCTION

​

2. A BRIEF REMINDER

​

2.1 Variables and Constants
2.2 Functions
2.3 Linear Equations
2.4 Second Degree Equations
2.5 Inequalities
2.6 Logarithms
2.7 Summations

​

3. GRAPHIC REPRESENTATIONS

​

3.1 Rectangular Coordinates
3.2 Distance Between Points
3.3 Graphic Representation of Functions
3.4 The Straight Line
3.5 The Parabola
3.6 The Hyperbola
3.7 Exponential Curves
3.8 Reduction of Exponential and Potential Functions to Linear Functions
3.9 Logistics or Saturation Curve
3.10 Functions of Three Variables

​

4. CHANGES

​

4.1 Increments and Decrements
4.2 Relative Change
4.3 Limits
4.4 The Derivative
4.5 Derivation Formulas
4.6 Higher Order Derivatives
4.7 Derivation of Implicit Functions
4.8 Relative Maximum and Minimum
4.9 Partial Derivatives
4.10 Economic Applications of the Derivative

​

5. NUMERICAL ARRANGEMENTS

​

5.1 Definition
5.2 Matrix Classification
5.3 Main types of Matrix
5.4 Matrix Operations
5.5 Application to the Solution of Systems of Equations

​

6. THE BEST SOLUTION

​

6.1 Linear Programming
6.2 Problem Statement
6.3 Graphic Solution
6.4 The Simplex Method
6.5 Limitations of Linear Programming

​

7. GROWTH

​

7.1 Progressions
7.2 Compound Interest
7.3 Financial Equivalences

​

8. INDETERMINATE VALUES

​

8.1 Frequency Distributions
8.2 Measures of Central Tendency
8.3 Dispersion Measurements
8.4 The Normal Distribution

​

9. CURVE ADJUSTMENT

​

9.1 Hands Free Method
9.2 Least Squares Method
9.3 Regression Curves
9.4 Application to Chronological Series

​

10. CORRESPONDENCE BETWEEN VALUES

​

10.1 Correlation Coefficient
10.2 Linear Correlation
10.3 Non-Linear Correlation
10.4 Limitations of Correlation Analysis

​

11. INDEX NUMBERS

​

11.1 Relative Prices
11.2 Relative Quantities or Volumes
11.3 Relative Value
11.4 Problems in Calculating Index Numbers
11.5 Simple Aggregation Method
11.6 Simple Average Relative Price Method
11.7 Weighted Aggregation Method
11.8 Deflation of Time Series

​

APPENDIX

​

A. Solution to Proposed Exercises
B. Tables of Common Logarithms
C. Compound Interest Tables
D. Normal Distribution Tables

​

BIBLIOGRAPHY