325G Maclean Hall
goodman at math dot uiowa dot edu
Paper Mail:Fred Goodman Department of Mathematics MLH The University of Iowa Iowa City, IA 52242-1419 USA
(all still tentative)
Syllabus in PDF format (Adobe Acrobat/Acrobat Reader needed.)
S. Lang and G. Murrow, Geometry, 2nd ed. Springer Verlag, 1988. This text is required.
J. Stillwell, Numbers and Geometry, Springer Verlag, 1998. This text is required.
F. Goodman, Old Class Notes in PDF Format (used before Spring Break) (Adobe Acrobat/Acrobat Reader needed.)
F. Goodman,New Class Notes in PDF Format (used after Spring Break) (Adobe Acrobat/Acrobat Reader needed.)
There will be weekly (more or less) written assignments. Details will appear here as the assignments are made.
Assignment 1: Due Thursday, Jan 28. Stillwell, Section 1.2, Exercise 1; assume the result that 3 divides a natural number n if and only if 3 divides n^2.
Assignment 2: Due Thursday, Feb 4. Stillwell, Section 1.2, Exercises 2-4.
Assignment 3, Due Thursday Feb. 11. Click here for assignment in pdf format.
Assignment 4: Due Tuesday, Feb. 22. Write out proof of Theorems 1.2, 1.3, and 1.4 in the class notes.
Assignment 5: Due Thursday, March 4. Click here for assignment in pdf format.
Assignment 6: Due Thursday, March 11. Prove Theorems 3.5, 3.6, and 3.8 in the class notes.
Quiz review (pdf format): click here.
Assignment 7: Due Thursday, March 25. Exercise 5.2, part 2, Exercise 5.4 (note the correction), Exercises 5.15-5.17.
Assignment 8, Due Thursday April 8. Click here for assignment in pdf format.
Assignment 9, Due Thursday April 15. Click here for assignment in pdf format.
Assignment 10, Due Thursday April 22. Click here for assignment in pdf format.
Inscribed angles and triangles.
Triangle iteration problem.
Habits of Mind, an organizing principle for the Mathematics Curriculum.
An essay on the mathematics of space flight by Keith Devlin.
Where does mathematical truth reside? Is it out there, or in our heads? Read a New York Times article, with numerous references. (You may need to register with the NY Times for access, but access is free.)
There will be one or two midterm exams, dates to be negotiated; the dates will appear here when they are known. There will be a comprehensive final exam. The text of the exams will appear here after the exams have been done by all students.