Basic Math Tools

1. The sigma operator

a. If 'a' is a constant then const

b. If a is a constant then convar

c. Given two series x and y then sum x and y

d. Given two series then product and division look like

product

division

e. Given two series then the double sum operates as

double sum

2. Properties of linear functions

a. Intercept and slope: eqn01

b. Partial effects:eqn02

3. Proportions and percentages

a. Change change

b. Proportionate change percent

4. Special Functions

a. Quadratic functions

b.Natural Logarithms: y = log(x), The graph: Increasing at a decreasing rate.

c. The Exponential: y = exp(x), The graph: Increasing at an increasing rate.

5. Differentiation

a. The derivative is a linear operator so its properties are similar to the summation operator.

b. The derivative tells us the rate of change or slope of a function.

b. A rule: deriv

 

c. When the first derivative is zero then the functino has reached either its maximum or its minimum.

d. Partial differentiation.

e. The chain rule:

equats

chain