
EMail: jsfreeman@aacc.edu Phone: 4107772557 Office: Math231I **Current for Spring 2016** Office Hours
Course Syllabi {Spring 2016 courses shown with days, time and room} Math 011 Beginning Algebra { MW : 17:0019:00 : Schz204 } Laws of Algebra Practice Test 2 Practice Test 3 Math 012 Intermediate Algebra Math 100 The Nature of Mathematics Math 133 Finite Mathematics Math 135 Elementary Statistics Math 151 Introductory Analysis { TTh : 12:302:15 : Math200 } Summary Review HW Practice Test1 Practice Test2 Math 191 Calculus I { TTh : 19:0021:10 : Math102 } Summary Review HW Practice Test1 Practice Test2 Math 192 Calculus II Maple Summary Simpsons Rule Eulers Method Math 202 Linear Algebra Math 212 Differential Equations LinearAlgebra RungeKuttaExcel Math 250 Discrete Structures { MW : 19:0020:15 : Math102 } Summary Algorithms ASCII The Shape of Things Einstein Zebra
The Maple Homepage Eric Weisstein's MathWorld The Unapologetic Mathematician Tips for TI83+ & TI84 Maple via AACC Wolfram Alpha Mathematics Professor Pi Vignettes Tangential Imagination (PDF) A dramatization of a past class discussion and an imaginative approach to the arctangent function using complex logarithms. Probable Probability (PDF) A dramatization of a past class discussion on Bertrand's Paradox involving the extramathematical nature of probabilities. An unambiguous probability space must be associated to a welldefined random process. Dimensional Transcendentalism (PDF) A dramatization of a past class discussion of physical units, the six fundamental dimensions and transcendental functions. They central point is that units cannot be destroyed and, hence, the input to a transcental function must be "unitless". Tensions over Tension (PDF) A dramatization of a past class discussion of a physics homework problem: Is tension a vector or a scalar? It is neither. Technically, tension is a tensor, a special type of function with vectors as the input and output. David Darlington Novels "Whether 'tis Nobler ..." (kindle) and "... the Cruelest Month" (kindle) Writings and Handouts from or related to the Courses Inductive and Deductive Reasoning  Intuitive, Inductive and Deductive Logic are the basis of how we obtain information about the world, which, as Wittgenstein said, "Is all that is the case". Theory, Fact and Law in Science  Are scientific theories unproven, and once proven become laws or facts? No. Theories, Laws and Facts are three very different sorts of scientific (or mathematical) statements. Theories are generally the most complex and wellconfirmed of all scientific statements. What is a Number, Really?(PDF)  A Logical PseudoHistory of Numbers. "Numbers are what we count with." Everything else follows from that. Axioms, Geometry and Algebra (PDF) Mathematics is based upon Axioms or Postulates. These are not indubitable truths, but merely assumptions upon which we base deductions. Fundamental Dimensions and Units (PDF) A summary of the fundamental units and dimensions by which physical science measures the world. Radially Symmetric Manifolds (PDF) Some original results in the theory of curved surfaces and Riemannian manifolds. History of Unix and the Internet (PDF) A brief history of computers and the Internet with an Overview of the Unix operation system. SQL Relational Databases (PDF) A brief introduction to the concept and mathematical foundations of relational databases and SQL  Structured Query Language. Probabilities of Poker (PDF) The probabilities of the nine basic 5card poker hands are calculated using a "branching tree" approach. The Logistic Growth Model The basic Malthusian exponential growth model is enhanced to incorporate the effect of crowding. A recursive function and mathematical chaos are the result. Game Theory and Recursive Programs An introduction to game theory is presented by analyzing weighted voting systems using recursive algorithms. Pyhagorean Theorem (PDF) An new proof of the Pythagorean Theorem using a simple geometric construction composed of three similar trianlges and one rectangle. Bell's Theorem (PDF) One of my favorite theorems: The area of a lattice polygon may be calculated by counting lattice points. Brief History of the Calendar The Gregorian calendar used through the western world, and its confusing leap year convention, is the result of successive corrections to older calendars. Pythagorean Musical Scale (PDF) The DoReMi music scale made famous in The Sound of Music dates back to the mathematician Pythagoras, circa 550BC. Education BA in Mathematics  Rice University  1972 




