University of Illinois at Urbana-Champaign

MATH 317 C1 - Summer 2002
M, Tu, W, Th, F, from 10 to 10:50 a.m. and F from, 12 to 12:50 p.m.
245 Altgeld Hall

Instructor:

Paul M. Weichsel
274 Altgeld Hall
244-7311
email: weichsel@math.uiuc.edu

Office Hours: By appointment

Assistant:

Bin Wang
email: binwang@math.uiuc.edu

TEXT: A First Course in Abstract Algebra, 2nd ed., by Joseph J. Rotman (P-H)

SYLLABUSClasses
Chapter 1: NUMBER THEORY
1.1: Induction
 1
1.2: Binomial Coefficients
1
1.3: Greatest Common Divisor
3
1.4: The Fundamental Theorem of Arithmetic
1
1.5: Congruences
3

Chapter 2: GROUPS
2.1: Functions
1
2.2: Permutations
3
2.3: Groups
2
2.4: Lagrange's Theorem
3
2.5: Homomorphisms
3
2.6: Quotient Groups
2
2.7: Group Actions
2

Chapter 3: COMMUTATIVE RINGS
3.1: First Properties
1
3.2: Fields
1
3.3: Polynomials
2
3.4: Homomorphisms
2
3.5: Greatest Common Divisors
2
3.6: Unique Factorization
1
3.7: Irreducibility
1
3.8: Quotient Rings and Finite Fields
2

POLICIES:

  1. Homework: (15%)
    • Homework assigned on Monday and Tuesday will be collected on Wednesday and homework assigned on Wednesday, Thursday and Friday will be collected on Monday.
    • Late homework will not be accepted.
    • The two lowest homework grades will be dropped.

  2. There will be three hour exams: (50%) Exam I Monday, 24 June, Exam II Monday, 15 July, Exam III Wednesday, 31 July.

  3. The Final Exam, Saturday, 2 August at 8 AM, will count for 35% of the course grade.

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