Math 3010-1 About the First Midterm Exam 1-31-18
Our first midterm is Wednesday, Feb. 7 in class. It will cover chapters 1-4 of Stillwell's text and class lectures.
• You are allowed to bring a "cheat sheet," a 8.5" x 11" paper with notes on both
sides.
• You will be able to choose four of five problems
• The first problem will be historical, based on Stillwell and lectures. It will
be multiple choice questions.
• The other problems will be mathematical. You should be familiar with the
following topics
Pythagorean Theorem and its proofs and applications
Pythagorean triples and their formula
Regular polyhedra
Straightedge and compass constructions
Famous problems that can't be solved using straightedge and compass
Conic sections
Polygonal numbers
Euclid's theorem that there are infinitely many primes
Euclidean algorithm to compute the gcd of two numbers
The theorem that the gcd of two numbers is a linear combination of the two numbers
Infinitely many solutions of Pell's Equation
Geometric version of the Euclidean Algorithm
Zeno's paradoxes
Eudoxus's Theory of proportions
The method of exhaustion applied to triangles, tetrahedra, circles and parabolas
Summing a geometric series