MATH 5615H-5616H
Honors: Introduction to Analysis I & II

MATH 5616H Section 001, Spring 2019, MWF 12:20-1:10 in Vincent Hall 206   (For MATH 5615H, see here.)

Instructor: Douglas N. Arnold,

Office hours: Monday 11:30-12:15, Wednesday and Friday 1:15-2:00 in Vincent Hall 512, or by appointment

Lecture schedule   •   News and announcements (see here for homework)

Course description: With a foundation in place from last semester, in MATH 5616H, we shall treat more advanced topics such as metric spaces, convergence of functions, power series, Fourier series, multivariable calculus, and, finally, Lesbesgue measure and integration.

Textbook: The course will continue to closely follow the textbook of Tao, now Analysis II, Third Edition. When coming from a non-UMN IP addresses, use this link. It is highly recommended that every student purchases a printed copy of the text. Hardcover editions may be purchased for under $20 for each book from Amazon. (Pay attention to the shipping time, when ordering.)

Reading: It is expected that you will read the entire textbook over the course of the semester. You should pace keep pretty well with the lectures (some students prefer to read a bit ahead of the lectures and others soon after—it is up to you, but don't fall behind). As you learned last semester, reading a rigorous math text like this is an active and strenuous undertaking. You should be filling in the details, checking the claims, and trying to get the big picture. A few pages can easily take an hour.

Homework: As for last semester, the exercises in the text are a crucial part of the course, where much of the learning takes place. Many of these will be assigned and a significant portion graded on the basis of validity, clarity, and style. Homework is due at the start of class on the day it is due. Late homework will normally not be accepted. Students are strongly encouraged to do as many of the exercises as possible, even those not assigned.

Exams: There will be two in-class midterm exams, on February 27 and April 10. The final exam will be on Saturday 11 May from 1:30-3:30. Make-up exams are only possible for verified legitimate reasons as defined by the University policy on makeup work, and then only before the actual exam, except when unavoidable.

Grading: Grades will be based on the homework (25%), the midterm exams (20% each), and the final exam (35%), and assigned in compliance with the University policy on grading.

Policies: All UMN students are expected to abide by the Student Conduct Code and the policy on Student Responsibilities. Students are welcome to discuss the course content with each other and with me, but are expected to do their own homework. This can be a fine line to parse, but at a minimum you should try to solve a problem on your own before consulting with anyone else, and you must write out your solutions yourself in your own words. You should be able to demonstrate your understanding by reproducing the solution later on your own (which you will be tested on).

Other university policies relevant to all classes:

Updated May 6, 2019