Published on Math Systems (http://www2.evergreen.edu/mathsystems)

## Spring Assignments

 Abstract Algebra Linear Algebra Topology Independent Study Week 1 Bring your 10-week 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 EVEN-numbered problems.  The ODD-numbered 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.  Bold-faced problems are for upper-division 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, 30Extra 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.  Bold-faced problems are for upper-division 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, 18Ch 29 Problems 4, 6, 15Topics 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, 17Week 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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