Schedule

Instructor: Dr. Huajun Huang

• Office:  207 Parker Hall
• Phone:  (344) 844-5974
• Email:  huanghu (at) auburn (dot) edu
• Office Hours:  MW 12:00-13:00, or by special arrangement.

Information

• Textbook:  A First Course in Abstract Algebra, 7th edition, by John B. Fraleigh.
• Prerequisites:   Math 3100 or analogous course subject to departmental approval.
• Description: (Here are a syllabus and a tentative schedule)
  This is the first one of the two algebra courses. Students are required to use axiomatic thinking to explore algebraic structures. The central topic is group theory. The course will cover Chapter I, II, III, VII, of Fraleigh's book, including binary operations, groups, subgroups, cyclic groups, permutation groups, orbits, cosets, finitely generated abelian groups, homomorphism, factor groups, group actions, isomorphism theorems, Sylow theorems, free groups, etc. Proofs and computations consist of the major practice of the course.
• Grade:  Grade = homeworks (30%) + chapter tests (40%) + final (30%).

Grade	A	B	C	D	F
Score	90-100	80-89	70-79	60-69	0-59

• Homework:   Homework problems help you master the materials well. You are required to submit only the designated problems (marked in red) for grading. Please check here for the homework assignment and the due days. Homework weights 30% of the total score.
• Chapter Test:   There are 4 chapter tests. Each weight 10% of the total score.
• Final Exam:   See the schedule. Final exam weights 30% of the total score.
• Makeups:   Makeups are permitted only in case a legitimate excuse is presented. Ordinarily legitimate excuses involve illness, and in such cases documentation will be required. For more information, please see the Tiger Cub.

Materials

• Homework Assignment
• Lecture Notes:
  • Chapter 0: Sets and Relations
  • I.1-I.3: Examples, Binary Structures, Isomorphisms
  • I.4: Groups
  • I.5: Subroups
  • I.6: Cyclic Subgroups
  • I.7: Generating Sets and Cayley Digraphs
  • II.8: Groups of Permutations
  • II.9: Orbits, Cycles, and the Alternating Groups
  • II.10: Cosets and the Theorem of Lagrange
  • II.11: Direct Products and Finitely Generated Abelian Groups
  • III.13: Homomorphisms
  • III.14: Factor Groups
  • III.15: Factor Group Computation, Simple Groups, and Solvable Groups
  • III.16: Group Action on a Set
  • VII.34: Isomorphism Theory
  • VII.35: Series of Groups
  • VII.36: Sylow Theorems
  • Review
• Test Answers:
  • Chapter I Test
  • Chapter II Test
  • Chapter III Test
• Homework Answers:
  • Section 1 - 4
  • Section 5
  • Section 6
  • Section 7
  • Section 8
  • Section 9
  • Section 10
  • Section 11
  • Section 13
  • Section 14
  • Section 15
  • Section 16
  • Section 34
  • Section 35
  • Section 36