Mathematics 515

Real Analysis


Instructor: Stefan Geschke
E-mail: geschke at math.boisestate.edu
Office: MG 236C
Office Hours: MWF 9.40-10.30 p.m. and by appointment.

Lecture:

MWF 11:40-12:30 in MG 124

Lectures are optional. Attendance will not be taken. Students are, however, responsible for any material or information presented in lectures which is not available from other sources.


Grading

Homework Assignments 20%
3 Exams 20% each
1 Final Exam 20%

Exams

The mid-term exams will be on February 22, March 21 and April 25. The final exam will be oral and take place during the finals week. No books, notes, or calculators are allowed on the exams. Nothing more than a pen or pencil and some paper.


Syllabus

The text for this course is Calculus on Manifolds by Michael Spivak.

The goal of the course is to prove Stokes' Theorem about the integration of differential forms, at least for chains and, if times permits, for manifolds. Stokes' Theorem is a version of the Fundamental Theorem of Calculus.


Announcements


Homework

The homework will be assigned as the lecture goes on and is usually due on Wednesday the week after it have been assigned.

Homework must be neat and properly presented. If your handwriting is poor, use TeX or Maple or something else to present your work.

Every assignment is to be completed by you. You may work with others from the class on the material and you may consult other resources, but what you hand in for a grade must be your own work.