Course Schedule - Fall Semester 2023

     

MATH 463 002 (CRN: 12587)

ADVANCED ALGEBRA I

Long Title: ADVANCED ALGEBRA I
Department: Mathematics
Instructor: Walton, Chelsea
Meeting: 9:00AM - 9:50AM MWF GRB W211 (21-AUG-2023 - 1-DEC-2023) 
Session: 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):
Undergraduate Professional
Visiting Undergraduate
Undergraduate
Prerequisites: MATH 357
Section Max Enrollment: 10
Section Enrolled: 8
Total Cross-list Max Enrollment: 25
Total Cross-list Enrolled: 12
Enrollment data as of: 26-FEB-2024 5:53PM
 
Additional Fees: None
 
Final Exam: Take-Home Exam
Final Exam Time:
7-DEC-2023  
2:00PM - 5:00PM R TBA TBA
 
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 563. Mutually Exclusive: Cannot register for MATH 463 if student has credit for MATH 563.