MATH 312 - Applied Modern Algebra
Fall 2013, Section 001
Instruction Mode: Section 001 is (see other Sections below)
Subject: Mathematics (MATH)
Department: LSA Mathematics
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Details

Credits:
3
Requirements & Distribution:
BS
Credit Exclusions:
Only one credit granted to those who have completed MATH 412.
Waitlist Capacity:
40
Advisory Prerequisites:
MATH 217.
Other Course Info:
W.
BS:
This course counts toward the 60 credits of math/science required for a Bachelor of Science degree.
Repeatability:
May not be repeated for credit.
Primary Instructor:

Description

Background and Goals: One of the main goals of the course (along with every course in the algebra sequence) is to expose students to rigorous, proof-oriented mathematics. Students are required to have taken MATH 217, which should provide a first exposure to this style of mathematics. A distinguishing feature of this course is that the abstract concepts are not studied in isolation. Instead, each topic is studied with the ultimate goal being a real-world application.

Content: groups, rings, and fields, including modular arithmetic, polynomial rings, linear algebra over finite fields, and permutation groups. Applications from areas such as error-correcting codes, cryptography, computational algebra, and the PĆ³lya method of enumeration.

Alternatives: MATH 412 (Introduction to Modern Algebra) is a more abstract and proof-oriented course with less emphasis on applications and is better preparation for most pure mathematics courses. MATH 567 is a more advanced course on coding theory.

Subsequent Courses: MATH 312 is one of the alternative prerequisites for MATH 416 (Theory of Algorithms), and several advanced EECS courses make substantial use of the material of MATH 312. Another good follow-up course is MATH 475 (Elementary Number Theory).

Schedule

MATH 312 - Applied Modern Algebra
Schedule Listing
001 (LEC)
 In Person
19923
Closed
0
 
-
TuTh 10:00AM - 11:30AM
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Textbooks/Other Materials

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Syllabi

Syllabi are available to current LSA students. IMPORTANT: These syllabi are provided to give students a general idea about the courses, as offered by LSA departments and programs in prior academic terms. The syllabi do not necessarily reflect the assignments, sequence of course materials, and/or course expectations that the faculty and departments/programs have for these same courses in the current and/or future terms.

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CourseProfile (Atlas)

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CourseProfile (Atlas)