Course Schedule - Fall Semester 2023

     

Meeting location information can now be found on student schedules in ESTHER (for students) or on the Course Roster in ESTHER (for faculty and instructors).
Additional information available here.

MATH 563 002 (CRN: 12588)

ADVANCED ALGEBRA I

Long Title: ADVANCED ALGEBRA I
Department: Mathematics
Instructor: Walton, Chelsea
Meeting: 9:00AM - 9:50AM MWF (21-AUG-2023 - 1-DEC-2023) 
Part of Term: Full Term
Grade Mode: Standard Letter
Course Type: Lecture
Language of Instruction: Taught in English
Method of Instruction: Face to Face
Credit Hours: 3
Course Syllabus:
Course Materials: Rice Campus Store
 
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Section Max Enrollment: 15
Section Enrolled: 4
Total Cross-list Max Enrollment: 25
Total Cross-list Enrolled: 12
Enrollment data as of: 20-JUN-2024 1:42AM
 
Additional Fees: None
 
Final Exam: GR Course-Dept Schedules Exam
 
Description: This course will cover graduate level topics in group theory, ring theory, and module theory. Specific topics include the isomorphism theorems for groups, rings, and modules; group actions; solvable and nilpotent groups; Sylow’s theorems; semi-direct products of groups; ideals; rings of fractions; various unique factorization domains; Hilbert’s Basis Theorem; Gröbner Bases; tensor product of modules and universal property; modules over principal ideal domains; and canonical forms. The course will also include an introduction to category theory as time permits. Cross-list: MATH 463. Mutually Exclusive: Cannot register for MATH 563 if student has credit for MATH 463.