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Your search for courses for 22/FA and with code: MATHALGEBRA found 3 courses.

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MATH 282.00 Elementary Theory of Numbers 6 credits

Open: Size: 25, Registered: 21, Waitlist: 0

CMC 209

Synonym: 63033

Caroline Turnage-Butterbaugh

A first course in number number theory, covering properties of the integers. Topics include the Euclidean algorithm, prime factorization, Diophantine equations, congruences, divisibility, Euler’s phi function and other multiplicative functions, primitive roots, and quadratic reciprocity. Along the way we will encounter and explore several famous unsolved problems in number theory. If time permits, we may discuss further topics, including integers as sums of squares, continued fractions, distribution of primes, Mersenne primes, the RSA cryptosystem.

Prerequisite: Mathematics 236 or instructor permission

Formerly Math 312

MATH 342.00 Abstract Algebra I 6 credits

Open: Size: 23, Registered: 20, Waitlist: 0

CMC 319

Synonym: 64906

Claudio Gomez-Gonzales

Introduction to algebraic structures, including groups, rings, and fields. Homomorphisms and quotient structures, polynomials, unique factorization. Other topics may include applications such as Burnside's counting theorem, symmetry groups, polynomial equations, or geometric constructions.

Prerequisite: Mathematics 236 or instructor permission

MATH 395.00 Geometric Group Theory 6 credits

Open: Size: 15, Registered: 7, Waitlist: 0

CMC 319

Synonym: 63896

MurphyKate Montee

Geometric group theory is the study of (infinite) groups using geometric tools. The underlying principle of geometric group theory is that if a group G acts "nicely" on a space, then information about that space tells us information about the group. This class will introduce tools from topology, graph theory, and geometry and use them to study groups. Topics will include groups acting on trees and (more generally) hyperbolic groups. This course counts toward the Algebra area of the math major.

Prerequisite: Mathematics 342 or instructor consent

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You must take 6 credits of each of these,
except Quantitative Reasoning, which requires 3 courses.
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