Math Systems

Week 1 Reading: Abbott 6.1-6.4

                          Gallian Chapters 11, 24

                          Munkres Sections 22-24

                          (Seminar) Benacerraf: Introduction, and Urton: Chapter 1

Week 2 Reading Abbott 6.5-7.1

                         Gallian Chapter 12-13

                         Munkres Sections 25-27

                         Seminar: Davis & Hersh Chapter 1 and "On Platonism" (see Assignments for link)

Week 3 Reading Abbott 7.2-7.4

                        Gallian Chapter 14

                        Munkres Sections 28-29

                        Seminar: Davis & Hersh Chapter 2 and Frege reading

Week 4 Reading Abbott 7.5-7.7

                        Gallian Chapter 15

                        Munkres Sections 28-29 (again)

                        Seminar: Davis & Hersh Chapter 3 and Anderson reading

                        Logic: Aristotle's Demonstrative Logic, and John Corcoran the mathematician

Week 5 Reading Algebra & Topology: Midterm exams, no new reading

                        Analysis: Chapter 8; Prepare presentation for next week.

                        Seminar: Davis & Hersh Chapter 4, and Brouwer & Heyting readings

Week 6 Reading Abbott: Analysis presentations...prepare section of Chapter 8

                                    No Topology and Algebra due to Analysis presentations and Spring planning

                                    Seminar: Davis & Hersh Chapter 5, and non-Western math article 

Week 7 Reading Gallian: Chapters 16-17

                        Munkres: Begin Chapter 9 (Sections 51-52)

                        Seminar: Davis & Hersh Chapter 6, and "Marx and Mathematics" (use Ares system)

                        Complex Analysis: Chapter 1 (1.1-1.3) and 2.1-2.2 from Complex Analysis by George Cain

                                   Found at: http://www.math.gatech.edu/~cain/winter99/complex.html

Week 8 Reading Gallian: Chapter 18

                        Munkres: Chapter 9, Sections 53-54

                        Seminar: Davis & Hersh Chapter 7, and "Was Calculus Invented in India?" 

                        Cain: 2.2, 2.3, Chapter 3, 4.1, 4.2

Week 9 Reading Gallian: Chapter 19 and p. 377 (on Fundamental Theorem of Algebra)

                         Munkres: Chapter 9 Sections 54 and 56 (Fundamental Theorem of Algebra)

                         Complex Analysis: Chapters 4, 5 and 6 (Fundamental Theorem of Algebra)

                                  (Note on Complex Analysis: we won't have time to cover all sections in detail.  For the purposes of homework and the test, you'll be responsible for the sections we cover in class.)                        

                         Seminar: Davis & Hersh Chapter 8, and "Games" article through Ares system