MATH 3031
Abstract Algebra I
Lec 01 selected
Groups, subgroups, permutation groups, cosets, direct products, fundamental theorem of finitely generated abelian groups, simple groups, group homomorphisms, factor groups, isomorphism theorems of groups, series of groups, Sylow theorems and applications. Additional topics may include free groups, group actions, and groups in Topology.
Sections
Lecture
Lec 01
Tue, Thu 13:05-14:25
From the syllabus
From the Fall 2023 syllabus by Sara Faridi. Fall 2026 is taught by Mahmood H., so details may differ. Open the PDF
Grading
25%Midterm examOctober 25, in class
50%Final examDate TBD
25%AssignmentsWeekly or biweekly
Textbooks
- A First Course in Abstract Algebra, Fraleigh
- Algebra, Michael Artin (optional)
- Abstract Algebra, Dummit & Foote (optional)
Course rules
- Late work
- Late homework receives zero; the two lowest homework grades are dropped.
- Collaboration
- Students may work in groups, but submitted written work must be individual and not too similar to others’ work.
- Missed exam
- A missed exam counts as zero unless a doctor's note is provided or prior arrangements are made.
- Exam materials
- Calculators, textbooks, and notes are prohibited unless specifically allowed.
- Homework
- Homework is due at the beginning of class.
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