Homework is due as follows:
Abstract Algebra: Tuesdays at 9:30
Topology: Wednesdays at 9:30
Analysis: Fridays at 9:30
Philosophy of Math:
| Algebra | Topology | Analysis | Philosophy of Math | |
| Week 1 | For Week 1 seminar: Read Introduction to Benacerraf & Putnam's Philosophy of Mathematics and Chapter 1 of Urton's The Social Life of Numbers | |||
| Week 2 | Due Tuesday of Week 2: Gallian 11: 4, 8, 16, 24, 28; Gallian 24: 2, 12, 16, 18, 28 | Due Wednesday of Week 2: Munkres Section 22: 1, 2, 4; Section 23: 1, 4; Section 24: 3, 8 | Due Friday of Week 2: Abbott 6.2.2, 6.2.7, 6.2.8, 6.2.15, 6.3.4, 6.4.3, 6.4.6 | For Week 2 seminar: Read Chapter 1 of Davis & Hersh, and "On Platonism in Mathematics" by Paul Bernays (available at http://www.phil.cmu.edu/projects/bernays/Pdf/platonism.pdf [1] ). Facilitators: Drew & Annie |
| Week 3 | Due Tuesday of Week 3: Gallian Chapter 12: 2, 6, 12, 22, 44, 46 Chapter 13: 2, 4, 10, 12, 28, 36 | Due Wednesday of Week 3: Munkres Section 25: 3,8; Section 26: 4, 7, 8; Section 27: 2 | Due Friday of Week 3: Abbott,Chapter 6: 6.5.2, 6.5.3, 6.5.6, 6.5.11 6.6.1, 6.6.2, 6.6.4 | For Week 3 seminar: Read Chapter 2 of Davis & Hersh, and "The Concept of Number" by Gottlob Frege Facilitators: Gabrielle & Matt F. |
| Week 4 | Due Tuesday of Week 4: Gallian Chapter 14: 6, 10, 14, 24, 30, 40, 50 | Due Wednesday of Week 4: Munkres Section 26: 1, 6; Section 27: 1, 3, 6; | Due Friday of Week 4: Abbott 7.2.4, 7.2.5 7.3: 7.3.1, 7.3.3, 7.3.5 7.4: 7.4.4, 7.4.6 | For Week 4 seminar: Read Chapter 3 of Davis & Hersh, and "Mathematics and `The Language Game'" by Alan Ross Anderson Facilitators: Malcolm, Matt G., Ryan |
| Week 5 | The following problems from Chapter 15 are recommended. Solutions will be available prior to Tuesday of Week 5, due to the Algebra exam.Gallian Chapter 15: 6, 8, 14, 18, 22, 26, 28, 30, 42, 60 | The following problems from Sections 28 and 29 are recommended. Solutions will be available prior to Friday of Week 5, due to the Topology exam. Munkres 28: 2, 6; Munkres 29: 1, 6, 10 | No Analysis Week 5 | For Week 5 seminar: Read Chapter 4 of Davis & Hersh, and "Consciousness, Philosophy, and Mathematics" by L.E.J. Brouwer, and "The Intuitionist Foundations of Mathematics" by Arend Heyting Facilitators: Paul |
| Week 6 | No Algebra Week 6 | No Topology Week 6 | Analysis Presentations Week 6 (9:30-12 on Tuesday and Friday) | For Week 6 seminar: Read Chapter 5 of Davis & Hersh, and "Gold Medallions: The Arithmetic Calculations of an Illiterate" by R.T. Rosin. This article is available through JSTOR. Search for it by title, or the following link might work: http://www.jstor.org/view/01617761/sp050052/05x1471o/0 [2] Facilitators: Gabrielle & Matt G. |
| Week 7 | For Week 7 seminar: Read Chapter 6 of Davis & Hersh, and "Marx and Mathematics" (available via Ares) Facilitators: Drew, Matt F., Ryan | |||
| Week 8 | Due Tuesday of Week 8: Gallian Chapter 16: 4, 6, 12, 14, 16, 22, 30, 36; Chapter 17: 2, 4, 6, 10, 14, 22, 32 | Due Wednesday of Week 8: Munkres Section 51: 1,3; Section 52: 1,4,6 | Due Friday of Week 8: Cain 1.1 #2,3 1.2 #5,6 1.3 #7,8,10,11; 2.1#1b,3 | For Week 8 seminar: Read Chapter 7 of Davis & Hersh, and "Was Calculus Invented in India" JSTOR article http://links.jstor.org/sici?sici=0746-8342(200201)33:1%3C2:WCIII%3E2.0.CO;2-5 [3] (search JSTOR if link doesn't work) Bring to class: Draft or outline of your final paper, for discussion. Facilitator: Malcolm |
| Week 9 | Due Tuesday of Week 9: Gallian Chapter 18: 2, 4, 6, 10, 12, 16, 18, 22, 28, 30, 36 Algebra Take-home exam to be handed out WEDNESDAY of Week 9 | Due Wednesday of Week 9: Munkres Section 53: 1,2,3,5 | Cain Chapter 2: 7, then 7 again using techniques from Section 2.3, 11, 13, 15; chapter 3: 3, 6, 8, 10, 12, 15 | Seminar Term Papers due Tuesday of Week 9 For Week 9 seminar: Read Chapter 8 of Davis & Hersh, and "Chance and Strategy in Games and Puzzles" (available via Ares) Facilitators: Paul & Annie |
| Week 10 | Algebra Take-home exam due by Noon on Tuesday of Week 10 | Suggested Topology problems on Sections 54: Munkres 3, 4, 5 Topology final exam in class Wednesday 10-12 | Suggested Complex Analysis problems on Ingegration Cain: Chaper 4: 1, 2, 6, 7, 11; Complex Analysis test Friday, followed by...? |