Introduction to Applied Mathematics by Alan Parks

Overview & Synopsis

This book covers the following topics, The
Exponential Function, Exponentials and Logarithms, Exponential Models,
Recursion, Recursive Models, Investigating Recursive Models, The Derivative,
Discovering the Derivative, The Derivative at a Point, The Derivative of a
Function, Computing the Derivative, The Power Rule, Linearity, Products and
Quotients, Exponentials and Logarithms, The Chain Rule, Interpreting and
Using the Derivative, Curve Sketching, Newtons Method, The Chain Rule
Revisited, Marginals, Linear Optimization, Simple Examples, More
Complicated, Shadow Prices Lagrange Multipliers, The Integral,
Antiderivatives, The Definite Integral, Riemann Sums, Interpreting and Using
the Integral, Anti Rates, Area, Probability, Quantities in Economics, Matrix
Algebra, Matrix Arithmetic, Applications of Matrix Algebra, Linear
Equations, Equations and Solutions, Matrix Inverse, Applications of Linear
Equations, Partial Derivatives, Partial derivatives, Higher Order
Derivatives, The Chain Rule, Non Linear Optimization, The First Derivative
Test, Lagrange Multipliers, Fitting a Model to Data, Spread sheet Formulas,
Function Values, Recursion Calculations and Matrix Calculations.