Tuesday, July 20, 2010

Finite Math

Brace yourselves for a description of the online math class I will be taking this fall.
Don't be jealous--- there is still room in the class if you want to register.

This is gonna be a fun ride, eh??

Finite Mathematics
Finite Mathematics is designed for students majoring in Business/Economics, Computer Information Systems, and Social Sciences. Topics to be covered include: matrices, linear programming, mathematics of finance, sets and probability, descriptive statistics, Markov chains, and game theory.
Upon completion of this course, students will have the following skills:
Develop mathematical models and employ linear curve fitting techniques.
Perform fundamental matrix operations and apply them to solving linear systems of equations.
Use both geometric and simplex methods of linear programming to solve optimization problems with two or more variables.
Understand and calculate interest, annuities, and amortization.
Employ Venn diagrams to sort out information and help combine sets algebraically.
Understand the compute basic probability.
Summarize and analyze data sets and apply statistical models to them.
Combine probability and matrices to analyze stochastic processes using a Markov Chains.
Combine probability, matrices, and linear programming with a theory of games model to determine optimal strategies for a "two-person" competitive situation under uncertain conditions.
For a maddening exercise in continuity try finding the largest real (i.e., decimal) number less than one. No, it is not 0.999999 . . . (the nines repeating forever), because it can be demonstrated that 0.999999 . . . is equal to 1. Whatever this number is it is impossible to represent it in any other than the most abstract way.
Continuity is in some ways associated with infinity and infinitesimal. Since calculus is concerned with continuous numbers and continuous functions, the subject must confront the ideas of ginfinity and infinitesimal. Finite Math is a subject that avoids the issues of continuity encountered in calculus, so those topics are lumped into the category of "finite mathematics."


ltlrags said...

"Linear curve fitting techniques," NO WAY! I'm soooooo jealous!

JC said...

And I ask WHY would you take that ?