Syllabus Math 315, Spring Semester 2001

Syllabus Mathematics 315, Spring Semester 2001

Lecture: Tuesday and Thursday (excluding Mar 15, 27, 29) in ROLLA-G4 from 9:30 to 10:45 in the morning. Also, see the calendar for a complete list of the happenings in this class.
Office Hours: On Tuesday and Wednesday in ROLLA-115 from 11 to 12 in the morning. Also by appointment. Appointments may be scheduled in person, by phone (341-6208), or via e-mail.
Text: "Principles of Mathematical Analysis" by Rudin (3rd edition), Chapters 6, 7, 8, and 11 (Chapter 11, "The Lebesgue Theory", will be particularly emphasized in this class, and lecture notes supplementing the text will be used).
Description: Riemann-Stieltjes integration, sequences and series of functions, uniform approximation, the Banach Space C(a,b), Lebesgue measure and integration, the space LP(a,b), Fourier series. Prerequisite: Math 309.
Homework Assignments: There will be 11 weekly homework assignments. They are available in class (and as PDF Files on the lecture's web page). Homeworks will be collected and selected problems will be graded. Instead of collection of homeworks, there may be a quiz during class on the homework material.
Midterm Exams: There will be 3 midterm exams during class. These exams will be announced and announcements will be posted on the calendar at least one week in advance.
Final Exam: The final exam is comprehensive and will be on Monday, May 14 from 10:30 to 12:30 in the morning.
Grading Policy: Each of the eleven homework assignments is worth 50 points, each of the three hour exams 80 points, and the final exam 210 points. Hence the emphasis on the final amount of points is weighted as follows:

Homework Exams Final
55 % 24 % 21 %
Altogether 1000 points are available. A personal password may be used to obtain the personal scores from the web page. Note that these scores as well as the estimated final grades are updated weekly. The final grade will be determined according to the following table:

F D C B A

- 599 600 - 699 700 - 799 800 - 899 900 -

(As a final grade of "D" is not allowed for a graduate student, for them the level to pass is 650.)

Homework	Exams	Final
55 %	24 %	21 %

F	D	C	B	A
- 599	600 - 699	700 - 799	800 - 899	900 -