MATH 312 - Applied Modern Algebra
Fall 2013, Section 001
Instruction Mode: Section 001 is (see other Sections below)
Subject: Mathematics (MATH)
Department: LSA Mathematics
See additional student enrollment and course instructor information to guide you in your decision making.


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


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).


MATH 312 - Applied Modern Algebra
Schedule Listing
001 (LEC)
 In Person
TuTh 10:00AM - 11:30AM
9/3/13 - 12/11/13
Note: Please add your name to the wait list.

Textbooks/Other Materials

The partner U-M / Barnes & Noble Education textbook website is the official way for U-M students to view their upcoming textbook or course material needs, whether they choose to buy from Barnes & Noble Education or not. Students also can view a customized list of their specific textbook needs by clicking a "View/Buy Textbooks" link in their course schedule in Wolverine Access.

Click the button below to view and buy textbooks for MATH 312.001

View/Buy Textbooks


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.

Click the button below to view historical syllabi for MATH 312 (UM login required)

View Historical Syllabi

CourseProfile (Atlas)

The Atlas system, developed by the Center for Academic Innovation, provides additional information about: course enrollments; academic terms and instructors; student academic profiles (school/college, majors), and previous, concurrent, and subsequent course enrollments.

CourseProfile (Atlas)