Instructions for the Final Exam in MATH 306 -- History and Philosophy of Mathematics

The exam will be split into two parts:

Part I:
It is a short answer take-home exam of elementary historical names and dates. You should either print out a copy for yourself or pick one up from the folder in front of my door. You must turn it in at the beginning of the in-class portion of the exam. It is worth 25% of the exam. You may not discuss it with any other person.

Part II:
This will be in-class at the designated time. It will be approximately 1.5  hours long. It is open book and open note. You can and should bring a calculator. It will be comprehensive. Recall that we had three exams that split the semester in to four approximately equal segments. Each of these four segments will be weighted about equally. There will be a couple of historical questions, but of course, you will have access to your text.

Important Topics Since Exam III

Chapter 9: Probability
Pascal's Triangle
Induction
Elementary discrete probability including independent events, mutually exclusive events, expected value, the notion of a fair game

Chapter 10: Number Theory
perfect numbers
Mersenne primes
amicable numbers
Fermat's Last Theorem
Fermat's Little Theorem
Congruence Theory

Chapter 11: Nineteenth-Century Contributions: Lobachevsky to Hilbert
The end of the story of Euclid's fifth axiom, including a long list of other properties equivalent to it
Saccheri quadrilaterals
Lambert quadrilaterals
Hyperbolic geometry
Elliptic geometry