INSTRUCTOR: Sasha Voronov
OFFICE: VinH 324
PHONE: (612) 624-0355
E-MAIL ADDRESS: voronov@umn.edu. You are welcome to use e-mail to send questions to me.
CLASS WEB PAGE: All class announcements and assignments will be posted on the class homepage http://www.math.umn.edu/~voronov/5616s15 and NOT handed out in class.
OFFICE HOURS (tentative): Mon 11:15-12:05, Wed 10:10-11:00, Fri 11:15-12:05, or by appointment.
TEXT: Principles of Mathematical Analysis, 3rd edition, 1976, by Walter Rudin. Available for purchase at the bookstore and online, and for free electronically on the internet.
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 most of which you have seen in freshman Calculus.
COVERAGE: Selected topics from Chapters 6-11, including the following: Rigorous treatment of Riemann-Stieltjes integration with an emphasis on Riemann integration; Sequences/series of functions, uniform convergence, equicontinuous families, the Stone-Weierstrass Theorem, power series; Rigorous treatment of differentiation/integration of multivariable functions, Implicit Function Theorem, Stokes' Theorem; the Lebesgue theory.
PREREQUISITES: Math 5615H or similar.
GETTING HELP:
HOMEWORK: Homework will be collected at the beginning of each Friday class, except the first week of classes, the Thanksgiving week, and the test weeks, and a random selection of problems graded. Late homework will be discouraged by assessing a penalty. We will be regularly discussing homework solutions in class. Also note that selected homework problems (or similar) may be given on tests. That is another reason why you should do homework during the week, rather than just before the homework is due and, moreover, remember the ideas and techniques used in your solutions. Getting together with other students (that is, in study groups) is a very efficient way to do homework (and have fun and pizza), see also GETTING HELP above. However, everyone should work on every problem; a solution you get together with other students should be written down in your own words. Copying someone else's solution will be penalized.
MIDTERM EXAMS: There will be two one-hour midterm exams: Friday, March 6, and Friday, May 1. All tests are closed-book, closed-notes, no "cheat sheets", no calculators.
FINAL EXAM: The final exam will be given on Tuesday, May 12, 1:30-3:30 p.m. in your regular classroom.
MAKE-UP TESTS: There will be no make-up tests. However, early tests will be given, if you have a valid reason. If you miss an hour test for a valid reason, your grade on it will be determined by the final exam, prorated to 100 points.
GRADING POLICY: Grades will be assigned on a curve, using the following weights:
CALCULATOR POLICY: Calculators will neither be needed, nor allowed on any tests.
DROP DATES: The last day to drop the course without college approval is February 16; if you drop the course on or before February 2, no mention of this course will appear on your transcripts. Otherwise, you will receive a "W" for the course.
Page created on 01/21/2015; modified on 01/23/2015 (coverage and exam dates); changed office hours on 02/06/2015