Course Description and Grading BreakdownMa109c is an introduction to differential topology, which tells us about topology of manifolds using their differentiable structures. Most of the material in the textbook will be covered, and topics will include Sard's theorem, Intersection theory, Poincare-Hopf theory, and differential forms. 50% Homework, 20% Midterm, 30% Final Course Meeting Time and LocationMonday, Wednesday and Friday 10:00 - 10:55 am B111 Downs Laboratory of Physics (DWN) Course Instructor Contact Information and Office Hours210-3 Math Building (Building 15) Office Hour: Thursdays noon to 1 pm or by appointmentTA Contact Information and Office HoursMillikan 9th floor Office Hour: Sundays 11 am to noon or by appointmentTextbookGuillemin and Pollack, Differential Topology, ISBN: 978-0821851937. Find the errata here. Topics CoveredSections: 1.1, 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4, 2.6, 3.1, 3.2, 3.3, 3.4, 3.5, 4.1, 4.2, 4.3, 4.4, 4.5, 4.7, 4.8 Course PoliciesWeekly homework assignments. Homework is always due Monday at 3:30 pm. Assignments
Midterm and Final ExamMidterm Exam: Section 1.7: 6 Section 1.8: 11 Section 2.3: 18 Section 2.4: 4, 7, 11, 13 Final Exam: Section 1.7: 16 Section 3.2: 26 Section 4.4: 6 Section 4.5: 2 Section 4.7: 5 Section 4.8: 2 Section 4.9: 11(The exam is due Friday, June 15 at 3:30pm.) Collaboration Table
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them. |