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Your search for courses for 22/FA and with code: MATHALGEBRA found 3 courses.
MATH 282.00 Elementary Theory of Numbers 6 credits
Open: Size: 25, Registered: 21, Waitlist: 0
| M | T | W | TH | F |
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| 1:50pm3:00pm | 1:50pm3:00pm | 2:20pm3:20pm |
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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
| M | T | W | TH | F |
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| 9:50am11:00am | 9:50am11:00am | 9:40am10:40am |
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Prerequisite: Mathematics 236 or instructor permission
MATH 395.00 Geometric Group Theory 6 credits
Open: Size: 15, Registered: 7, Waitlist: 0
| M | T | W | TH | F |
|---|---|---|---|---|
| 11:10am12:20pm | 11:10am12:20pm | 12:00pm1:00pm |
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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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