Exam 1 Overview
• Be familiar with all topics covered in the reader, and in Mathematics Through the Eyes of Faith.
• Reader: Pages 1–46 (up to Section 3.3).
• Assigned readings from Mathematics Through the Eyes of Faith.

• Be familiar with all topics discussed in the lectures.
• The different types of proof, and what distinguishes them from one another.
• The proof that if x2 is even then x is even.
• The Pythagoreans: their philosophy and proof that √2 is irrational.
• Converting a repeating decimal to a fraction and vice versa.
• The components of an axiomatic system.
• Be able to give reasons for basic Euclidean geometric theorems.
• The theory behind the computation of the Earth’s circumference.
• The various propositions from Euclid, especially Propositions I.5, I.6, I.29, and I.47.

• Be prepared to perform simple geometric or other mathematical arguments. For example, you may be asked to supply reasons for steps in a proof, or to complete the second half of a proof that Euclid gives (that is similar but not identical to the first half). See especially Proposition I:15, Proposition I.16, Proposition I.17, and Proposition I.20.