Book: L. Gilbert, J. Gilbert Elements of Modern Algebra, Eighth edition,
CENGAGE Learning
Syllabus: Chapter 1 (Fundamentals), Chapter 2 (The Integers), Chapter 3 (Groups), Chapter 4 (More on Groups: Cosets, Normal subgroups, Quotient groups), Chapter 5 (Rings, Integral Domains, and fields).
Grading: Four tests (60%) and the Final (40%).
Test 1: February 17, 13:00-14:30 Practice Test 1 Test 1 with solutions
Test 2: March 23, 13:00-14:30, Notes for Test 2 Practice Test 2 Test 2 with solutions
Test 3: April 18 13:00-14:20, Practice Test 3 Test 3 with solutions
Test 4: Monday, May 9, part 1 of the final
Final: Monday, May 9, 14:00-16:40,
Previous Final
The posted final
is meant as study guide for the material on rings and fields. Your final will
also have problems on permutations (even, odd, cycles, transpositions). You also
need to know the homomorphism theorem.
For all tests and the final you have to bring a blue-book and show a picture ID.
Suggested Homework; Homework won't be collected but discussed in class. HW serves as preparation for the tests and Final.
Chapter 1
1.1: T or F, 3,7,38,30; 1.2: T or F, 5,25; 1.4:
T or F, 1,9; 1.5; 1,5: T or F, 1(a)-(d), 1.7: T or F, 2,4,24
Chapter 2
2.2:1,2; 2.3: T or F, 17, 18, 19, 20; 2.4: T or
F, 8,9,10, 11, 12; 2.5: T or F, 1, 30, 31, 32; 2.6: 1, 5, 7
Chapter 3
3.1: T or F, 1-4, 11-13, 17; 3.2 T or F,
11,15,17; 3.3: T or F, 9-12; 3.4: T or F, 29,32,33; 3.5: T or F, 12,13,20,21;
3.6: T or F 5,17,19,20
Chapter 4
4.1: T or F, 1,3; 4.2: T or F, 1,10,13; 4.4: T
or F, 6,24,27,30; 4.5: T or F, 8,24,31,34; 4.6: T or F, 20,28,30
Chapter 5
5.1: T or F, 1, 17, 18, 39, 40, 51; 5.2: 2, 18,
20, 23,24,25