MATH 4315

MATH 4315

Course information provided by the Courses of Study 2016-2017.

The main focus is on linear algebra, including the study of vector spaces, maps and matrices. Additional topics are tensors, groups and representation theory, and a brief introduction to computational algebraic geometry. The course provides a wide background of the basic concepts in algebra.

When Offered Fall (offered alternate years).

Prerequisites/Corequisites Prerequisite: MATH 2210, MATH 2230, MATH 2310, or MATH 2940. Students will be expected to be comfortable with proofs.
Forbidden Overlaps Forbidden Overlap: Due to an overlap in content, students will receive credit for only one course in the following group: MATH 4310, MATH 4315, MATH 4330.

Distribution Category (MQR-AS)

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 17362 MATH 4315   LEC 001

  • MATH 4315 will provide a wide background of the basic concepts in algebra that will be especially beneficial for students who plan to take only on algebra course at the 4000 level. MATH 4315 and 4310 will both cover the key topics in linear algebra: fields, vector spaces, bases, subspaces, linear transformations (maps), and matrices. After that, MATH 4310 will continue with topics in linear algebra (inner product spaces, quadratic forms, canonical forms for various classes of matrices), whereas MATH 4315 will provide a wide background of the basic concepts in algebra (tensors, groups and representation theory, and a brief introduction to computational algebraic geometry).