INSTRUCTOR: Sasha Voronov
OFFICE: VinH 324
PHONE: 624-0355
E-MAIL ADDRESS: voronov@umn.edu.
INTERNET: All class announcements and assignments will be posted on the class homepage http://www.math.umn.edu/~voronov/4606/index.html and NOT handed out in class.
OFFICE HOURS: Wed 12:15-1:45 pm, Thu 4:30-6:00 pm, or by appointment.
TEXT: Advanced Calculus by Gerald B. Folland, 2002, See the author's list of errata. The text is on two-hour reserve in the Math Library on third floor of Vincent Hall.
GOALS AND PREREQUISITES: This course for which single and multivariable differentiable calculus are prerequisites, treats these topics in more depth than they are treated in the prerequisite courses. The course is designed to serve two types of students: undergraduate juniors and seniors, primarily mathematics majors, and graduate students from outside mathematics. Such graduate students should confirm that their program accepts this 4xxx-level course for graduate-status credit. Math 4606 is not designed to prepare students for 8xxx-level courses requiring an analysis prerequisite. The sequence Math 5615-5616 is designed for that purpose.
CONTENT: We will study Chapter 1 (the topology of Rn, such as limits of sequences and functions, completeness, compactness, connectedness), Chapter 2 (differential calculus in Rn), Section 3.1 (the Implicit Function theorem), Sections 7.1 and 7.3 (functional series), and selected topics from Chapter 8 (Fourier series).
GETTING HELP:
HOUR TESTS: There will be two one-hour tests: Monday, February 19, and Monday, April 9. If you miss an hour test, your grade on it will be determined by the final exam, prorated to 100 points. Books, notes, and calculators are not allowed on exams.
FINAL EXAM: The final exam will be given in our regular classroom VinH 2 at 1:30pm - 3:30pm, Saturday, May 12.
HOMEWORK: There will be weekly problem sets assigned to be turned in. A few problems from each set will be selected at random and graded. You are expected to do your homework regularly during the week (I recommend at least three times a week) and hand it in in the beginning of each Friday class, except the first week of classes and the test weeks. The test weeks' homework will be assigned, but not collected. Getting together with other students (that is, in study groups) is a very efficient way to do homework and get ready for the tests (and also have fun).
Assignments handed in late will get a 10% penalty per any fraction of a day after 11:15 am on the due day. The maximum penalty is limited to 50%.
GRADING: Based on two hour tests (100 points each), problem sets (100 points total), and final exam (200 points). Grades will be assigned on curve.
IMPORTANT DATES:
January 23 - Last day to drop a course and receive a 100% refund.
January 29 - Last day to drop a course with no grade reported.
February 19 - First midterm exam.
March 12-16 - Spring break.
April 9 - Second midterm exam.
May 4 - Last day of instruction.
May 12 - Final exam.