Spring Assignments
 Abstract Algebra  Linear Algebra  Topology  Independent Study  Week 1     Bring your 10week plan of study (at least a draft) to your Study Group meeting on Tuesday or Friday of Week 1  Week 2  Due Tuesday of Week 2: Gallian 20: 2, 4, 6, 10, 16, 18, 22, 26, 32  Due Wednesday of Week 2: Only turn in the EVENnumbered problems. The ODDnumbered problems are optional...you can decide whether you need this additional practice or not. If you do complete them, keep them in your portfolio. Lay 1.1: 4, 6, 9, 13, 15, 18, 24, 27, 28, 31; 1.2: 2, 11, 14, 16, 17, 22, 24, 29, 31; 1.3: 4, 8, 10, 17, 21, 22, 24, 31, 33; 1.4: 6, 7, 12, 13, 17, 18, 19, 20, 24, 27, 31, 34, 39  Due Friday of Week 2: 55: 1,2; 58; 1, 2, 5, 7;   Week 3  Due Tuesday of Week 3: Gallian 21: 2, 6, 8, 12, 16, 22, 24, 32, 34  Due Wednesday of Week 3: Again, ODD PROBLEMS ARE OPTIONAL. Boldfaced problems are for upperdivision work. Lay 1.5: 3, 5, 10, 11, 15, 18, 21, 24, 25, 28, 38, 39; Optional, according to your interests: 1.6: 5, 8; 1.7: 3, 7, 10, 13, 22, 23, 27, 28, 36, 40; 1.8: 5, 7, 11, 14, 15, 18, 21, 25, 26, 30, 33, 36  Due Friday of Week 3: Munkres 59: 1 (also try responding to the warning with an example), 2, 4; 60: 1, 2, 5 (optional for extra practice: #3)   Week 4  Due Tuesday of Week 4: Gallian Chapter 22: 2, 4, 6, 10, 14, 16, 22, 28, 30 Extra problem on chapter 22: Show explicitly an isomorphism between the rings mentioned in Problem 6. That is, find a bijection between the elements of each ring which preserves addition and multiplication.  Due Wednesday of Week 4: ODD PROBLEMS ARE OPTIONAL. Boldfaced problems are for upperdivision work. 1.9: 3, 6, 9, 11, 15, 16, 19, 24, 32, 34, 36 ; 1.10: 9, 12 (these problems optional, according to interests); 2.1: 3, 9, 12, 15, 16, 22, 24, 23, 27. 34; 2.2: 3, 7, 10, 13, 16, 18, 21, 27, 33, 34, 38; 2.3: 5, 6, 12, 15, 19, 20, 25, 26, 32, 37, 40;  Due Friday of Week 4: 30: 1a, 3, 5, 6 (Rl only...I^2 was done in class) 31: 3, 4, (8 optional for extra practice); 32: 3   Week 5  For Week 5 (not to be handed in due to Final Exam...solutions will be posted) Gallian Chapter 23: 2, 6, 12  For Week 5 (not to be handed in due to Midterm Exam...solutions will be posted) Lay 2.4: 5, 9, 10, 12, 24; 2.8: 5, 8, 11, 19, 22, 26, 30, 34, 35; 2.9: 5, 8, 15, 18, 20, 21, 26; 3.1: 3, 8, 22, 277, 37, 40, 42; (This section NOT on the exam)  Due Friday of Week 5: 67: 3, 4, 5; 68: 1, 2; 69:3  Bring portfolios to Study Group meetings  Week 6  No homework due this week. Use the extra time to plan your special topic classes. Let me know if you want me to lecture on one of the days your week. Topics: Symmetry Chapters 27 & 29 (Matt G. & Paul)  No homework due this week.  For Friday of Week 6: prepare to give a short summary of your Theorem/Examples for class on Friday.   Week 7  Due Tuesday of Week 7: Ch 27 Problems 2, 4, 8, 10, 18 Ch 29 Problems 4, 6, 15 Topics for Week 7: Frieze Groups Chapter 28 (Annie & Carl)  Due Wednesday of Week 7: Odd problems are optional. 3.2: 2, 3, 6, 17, 18, 25, 28, 33, 34, 39, 44; 3.3: 4, 5, 11, 20, 25, 27, 32; 5.1: 1, 5, 7, 12, 17, 20, 22, 23, 26, 29, 34; 5.2: 3, 4, 10, 19, 22, 23, 26  Homework: Due TUESDAY: 70: 1; 71: 2, 3, 4; 72: 1; Also, but not to be handed in due to exam: 73: 1; Topology Exam Friday of Week 7   Week 8  Due Tuesday of Week 8: Chapter 28: 2, 8, 11, 12, 13, 15, 16, 17 Week 8 Topics: Intro. to Galois Theory Chapter 32 (Gabrielle, Malcolm)  Due Wednesday of Week 8 (Odd problems optional): HW: 5.3: 1, 4, 5, 12, 22, 23, 26, 32; 5.4: 11, 14, 15, 18, 21, 25, 26 (use 25);   Week 9  Due Wednesday of Week 9: Chapter 32: 6, 9, 12, 14, 16 Topics: Cyclotomic Extensions Chapter 33 (Matt, Ryan)  Due Wednesday of Week 9 (Odd problems optional): 5.5: 3, 8, 11, 14, 17, 22, 24, 26; 5.6: 2, 3, 6, 8, 9, 12, 14, 15; 5.7: 1, 6, 8, 12, 14; (Note: if you haven't studied diffeq's the 5.7 problems may be tough, and you can wait for our class discussion rather than solving them on your own.)  Due Friday of Week 9: Munkres 74: 3, 4, 5; 75: 1, 2; 76: 2  Submit entire portfolio on Friday  Week 10  Homework/workshop problems for Wednesday of Week 10: Chapter 33: 2, 5, 9, 10, 11, 15, 21    
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