Foundations and Structure of Mathematics 1 - Class Notes
From The Heart of Mathematics: An invitation to effective thinking 2nd edition by Edward Burger and Michael Starbird, Key College Publishing (2005).
Burger and Starbird's The Heart of Mathematics book, 2nd edition

Copies of the classnotes are on the internet in PDF, HTML, and, in one case, in PowerPoint as given below.

The catalog description for Foundations and Structure of Mathematics 1 (MATH 5025) is: "A study of the mathematical concepts that are necessary for teachers of arithmetic and mathematics. Topics to be covered are logic and sets, number systems, curve sketching, types of geometries, and elements of probability. The metric system."

Lecture Topic: Introduction: What is Math? Outline for Mathematical Mystery Tour.

Lecture Topic: 4.1 Pythagoras and His Hypotenuse. "The Pythagorean Theorem" Handout, Outline for The Ascent of Man episode "The Music of the Spheres".

Lecture Topic: 4.6. The Shape of Reality. "Shape of Reality" Handout.

Lecture Topic: The Shape of Space. "The Big Bang and the Shape of Space" in PowerPoint.

Lecture Topic: The Fourth Dimension. Outline for 1987 Innovations episode "To the Nth Dimension... and Back", "The Fourth Dimension (and More!)" Handout, 3-D hypercube image from the text, "There's Math in Deviled Eggs" handout.

Lecture Topic: 4.5 The Platonic Solids Turn Amorous, 5.3 Feeling Edgy? "Platonic Solids" handout, An Analytic soultion to the "Self Duals" problem.

Lecture Topic: 7.1 Chance Surprises, 7.2 Predicting the Future in an Uncertain World, 7.4 Down for the Count. Probability handout.

Lecture Topic: 7.5 Great Expectations, 7.6 What the Average American Has. Expectation and Statistics handout.

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