MATH 3330 - Abstract Algebra - University of Houston
Skip to main content

MATH 3330 - Abstract Algebra

***This is a course guideline.  Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***

Prerequisite: MATH 2318 and MATH 3325

Course Description: An introduction to groups and rings: groups, subgroups, quotients, products, homomorphisms and isomorphisms, ideals, integral domains and division rings

*Note: Formerly MATH 2431.

Textbook: Abstract Algebra: A First Course, 2nd Edition, Dan Saracino, ISBN: 9781577665366, Waveland Press, Inc.


Course Purpose: An introduction to abstract algebraic structures, emphasizing group and ring theory.

Course Objectives: Upon completion of this course, students may take Advanced Abstract Algebra - Math 4333 or Graph Theory with Applications - Math 4315.

Course Content: Sets, Cartesian products and binary operations. Properties of Integers including Principle of Mathematical Induction, congruences, Division and Euclidean Algorithms and the Fundamental Theorem of Arithmetic.

Groups, cyclic and normal subgroups, isomorphisms and homomorphisms. Finite
permutation groups, normal subgroups and quotient groups.

Rings, integral domains and fields. Time permitting - complex numbers and historical outline and significance of Galois theory and algebraic geometry emphasizing its computational character. This part of the course apart from possibly introduction to complex numbers will be excluded from tests.

Grading: Please consult your instructor's syllabus regarding any and all grading guidelines.

 


Justin Dart Jr. Center Accommodations:

Academic Adjustments/Auxiliary Aids: The University of Houston System complies with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, pertaining to the provision of reasonable academic adjustments/auxiliary aids for students who have a disability. In accordance with Section 504 and ADA guidelines, University of Houston strives to provide reasonable academic adjustments/auxiliary aids to students who request and require them. If you believe that you have a disability requiring an academic adjustments/auxiliary aid, please visit Justin Dart Jr. Student Accessibility Center website at https://www.uh.edu/accessibility/ for more information.

UH CAPS

Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach (CAPS) by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus.