- Understand and use the standard methods and tools of mathematical argument (e.g. direct and indirect methods, the construction of examples and counterexamples, induction arguments).
- State and describe the formal definitions of the mathematical objects and their properties used in elementary number theory (e.g., divisibility, prime numbers, congruences, etc.).
- State and apply the main theorems in elementary number theory (e.g. theorems related to modular arithmetic, divisibility, prime numbers, Fermat's Little Theorem).
- Prove or disprove statements and evaluate the validity of arguments related to the definitions, properties, and theorems elementary number theory.
- Write mathematical proofs and concepts in logical, reasonable, and concise ways.
Math 467: Introduction to Number Theory
MATH 234, 375, (222 and COMP SCI/MATH 240), (222 and 320), or (222 and 340)
UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, WI 53706