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Homework assignments
(MATH 6102, Spring 2015)
Instructor: Gábor Hetyei Last update: Wednesday, April 15, 2015

Disclaimer: The information below comes with no warranty. If, due to typographical error, there is a discrepancy between the exercise numbers announced in class and the numbers below, or this page is not completely up to date, the required homework consists of those exercises which were announced in class. Check for the time of last update above. If, by my mistake, a wrong exercise number shows up below, I will allow you extra time to hand in the exercise whose number was announced in class. If, however, exercise numbers are missing because this page is not up to date, it is your responsibility to contact me before the due date. (No extra time will be allowed in that case.) This page is up to date if the last update happened after the last class before the next due date.

No. Date due: Problems:
12 4/22 Written exercises: Both parts of Exercise 7.2.6 (prove parts (3) and (4) of Theorem 7.2.8).
11 4/15 Written exercises: 9.5.1, part (3) of 9.5.2.
10 4/8 Written exercises: 10.3.1 and 10.3.2
9 4/1 Written exercises: Part (2) of 10.2.1 and 10.2.2.
Bonus: Part (6) of 10.2.6.
8 3/25 Written exercises: 5.7.7, 5.8.1, 5.9.10
7 3/18 Written exercises: part (2) of 5.6.1 and 5.6.3.
6 2/18 Written exercises: 5.4.1 and part (1) of 5.4.2 (find the lower sum only).
5 2/11 Written exercises: 5.2.6 and 5.2.7
Oral question: 5.2.8.
4 2/4 Written exercises: Parts (1) and (2) of 4.5.4 and 4.6.7.
Oral questions:
  1. Prove part (3) of Lemma 4.6.2 (the inverse of f is continuous
  2. Use Jensen's inequality (stated in Exercise 4.6.10) to prove the inequality between the geometric and the arithmetic mean and the inequality between the arithmetic an quadratic mean.
3 1/28 Written exercises: 4.4.4 and part (2) of 4.5.6.
2 1/21 Written exercises: 4.3.2 and 4.3.3.
1 1/14 Written exercises: Part (2) and (4) of Exercise 4.2.1, Exercise 4.2.2.