Class, College, and Life
spring 2011 course description
spring 2011 syllabus
instructions for the TI83/84
just the regression instructions
reviews for tests and quizzes
study tips
Mathematics is one of the oldest human pursuits, and a part of every educational program in recorded history. Plato valued geometry and arithmetic, applied math and theoretical math. "Let no one ignorant of geometry enter my door," was inscribed on his Academy of Learning. He held that computational skills were necessary to both the merchant and the soldier, "who must learn the art of numbers or he will not know how to array his troops." And for the philosopher, he said that, "arithmetic has a very great and elevating effect, compelling the mind to reason about abstract number."
Such an ancient discipline, still vigorous today, necessarily contains some very deep and influential ideas. The Great Ideas, the Best of the Best, include these five topics:
Analytic Geometry
A merger of two ideas with enduring consequences. 

Modeling
Connecting the concrete world with the abstract ideas of the mind. 

Calculus
Mathematics' contribution to the Renaissance, calculus supports modern science and technology. 

Probability and Statistics
Being precise about uncertainty. 

Experiment, Conjecture, and Proof
The essence of the mathematical enterprise. 
Many important and beautiful ideas are found in mathematics, some of which fall under the heading of Theorem and Proof. Other ideas are more general: procedures, trends, approaches to problems. There are also ideas that have proved useful in other fields: an application of mathematics can have lasting effects too. A partial list of other important ideas is below. Each makes for interesting reading and exploration.
Theorems and Proofs  General Topics  Math & History 



Class, College, and Life
spring 2011 course description
spring 2011 syllabus
instructions for the TI83/84
just the regression instructions
reviews for tests and quizzes
study tips