5520.001, Fall 2025
Modern Algebra I
Conley
Syllabus
Review Sheet

Final Exam: Wednesday, December 10, 10:30-12:30

Note: starred problems will not appear on the quiz

Quiz 11 Practice Problems:

   Section 5.4: 1, 2, 4, 5, 6, 7, 11, 13, 15
   Section 5.5: 1, 2, 5, 6*, 8, 11

Quiz 10 Practice Problems:

   Section 5.1: 1, 2, 4, 5, 6, 11, 12*, 14
   Section 5.2: 1b, 2b, 3b, 4b, 5, 6, 7, 8*, 9

Quiz 9 Practice Problems:

   Section 4.5: 23, 25, 27*, 30, 31, 33, 34, 36, 38*, 40, 44, 45, 46
   Section 4.6: 1, 2, 3, 4*

Midterm Exam: Wednesday, October 15

Quiz 8 Practice Problems:

   Section 4.4: 1, 3-8, 12, 18*
   Section 4.5: 1, 5-7, 13-15, 18-19, 21, 32

Quiz 7 Practice Problems:

   Section 4.1: 1, 2, 3, 7*, 8*, 9
   Section 4.2: 2, 7, 8, 9, 10
   Section 4.3: 2, 8, 9, 11bc, 13, 19*, 20*, 22*, 26, 29, 30

Quiz 6 Practice Problems:

   Section 3.2: 5, 6, 8, 9*, 10, 11 (you may assume G finite in 10 and 11), 17, 18, 19*, 22
   Section 3.3: 1, 3, 7
   Section 3.4: 1, 2, 5
   Section 3.5: 3, 4, 5, 6, 10, 11, 12, 13, 17

Quiz 5 Practice Problems:

   Section 2.3: 1, 3, 5, 9, 11, 16, 21*, 22*, 23*, 26
   Section 2.4: 8, 9*, 10, 11, 12
   Section 2.5: 8b, 12, 15
   Section 3.1: 1, 2, 5, 17, 21, 33, 36*, 40*, 41*

Quiz 4 Practice Problems:

   Section 1.6: 1, 2, 7, 13, 14, 16, 20, 23*
   Section 1.7: 1, 4, 6, 8, 11, 12, 16, 17, 18, 19, 20*, 21*, 23*
   Section 2.1: 9, 10a, 12
   Section 2.2: 4, 5, 8, 10

Quiz 3 Practice Problems:

   Section 1.2: 3, 6, 9, 17*
   Section 1.3: 2, 5, 9, 11, 15, 16
   Section 1.4: 2, 7, 10, 11
   Section 1.5: 2, 3

Quiz 2 Practice Problems:

   Section 0.3: 4, 8, 9, 11, 12, 13, 15b
   Section 1.1: 1bcd, 6, 8, 9, 11, 12, 21, 22, 25*, 31*, 32, 33

Quiz 1 Practice Problems:

   Section 0.2: 1ab, 3, 5, 7, 10*, 11