The Math Major (Part 2)

What is the identity element for the set of integers under addition?

• 0

• 2

• 1

• -1

Which of the following is NOT a condition for a set to be a group?

• Closure

• Associativity

• Identity

• Commutativity

In permutation groups, what does the move T1 represent?

• Cycling all elements to the right

• Switching the first and third elements

• Keeping all elements the same

• Switching the first and second elements

What is the Euler characteristic of a polyhedron homeomorphic to a sphere?

• 3

• 2

• 1

• 0

In topology, which of the following pairs of objects are considered homeomorphic?

• Sphere and Cube

• Sphere and Donut

• Cube and Pyramid

• Donut and Pyramid

What is the focus of real analysis?

• Complex numbers

• Real numbers

• Whole numbers

• Imaginary numbers

Which of the following is a basic proof you might learn in real analysis?

• Proving the Pythagorean theorem

• Proving the existence of complex numbers

• Proving the existence of a rational number between two real numbers

• Proving the irrationality of pi

Which course is typically taken by both pure and applied math students?

• Combinatorics

• Topology

• Numerical Analysis

• Real Analysis

What is a common career path for pure math graduates?

• Teaching and Research in Academia

• Software Development

• Medical Research

• Civil Engineering

Which organization is the largest employer of mathematicians in the US?

• National Security Agency (NSA)

• Microsoft

• NASA

• Google