INSTRUCTOR: Alex Voronov
OFFICE: A333 WH
PHONE: 353-6330
E-MAIL ADDRESS: voronov@math.msu.edu. You are welcome to use e-mail to send questions to me.
INTERNET: All class announcements and assignments will be posted on the class homepage and NOT handed out in class.
OFFICE HOURS (tentative): M & T: 2:00-3:00, F: 2:00-3:00 pm and by appointment.
TEXT: An Introduction to Analysis by Kirkwood (2nd Edition).
GOALS: This is the first course of "analysis with proofs". The goal of the course is to learn real mathematics by providing rigorous foundation to topics some of which you have seen in freshman Calculus.
CONTENT: Chapters 1-5, 7-8 of the
textbook. Topics include: supremum and infinum, completeness
properties of the real numbers, limits of numerical sequences and
series; limits and continuity, properties of continuous functions on
closed bounded intervals; the intermediate value
theorem;
derivatives in one variable; sequences and series of functions, power
series, uniform convergence, term by term differentiation and
integration.
GETTING HELP:
HOUR TESTS: There will be two hour tests: Wednesday, February 24, and Wednesday, April 7. If you miss an hour test, your grade on it will be determined by the final exam, prorated to 100 points.
FINAL EXAM: The final exam will be given on Tuesday, May 4, 12:45-2:45 p.m.; location TBA.
HOMEWORK: There will be weekly problem sets assigned to be turned in. One problem from each set will be selected at random and graded. You are expected to do your homework regularly during the week (I recommend three times a week) and hand it in at the end of each Wednesday class, except the first week of classes and the test weeks. The test weeks' homework will be assigned, but not collected.
GRADING: Based on two hour tests (100 points each), problem sets (100 points total), and final exam (200 points).
IMPORTANT DATES:
Friday, January 15 - close of computer/telephone enrollment.
Monday, January 25 - last day to late add or change sections. Note: from Jan. 19 to 25, students MUST go to A212 WH to make these changes..
Friday, February 5 - last day to drop a course and receive a 100% refund.
Wednesday, March 3 - last day to drop a course with no grade reported.