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Homework assignments
(for MATH 6102-001/EDCI 8102-001, Spring 2023)
Instructor: Gábor Hetyei Last update: Wednesday, April 19, 2023

Disclaimer: The information below comes with no warranty. If, due to typographical error, there is a discrepancy between the exercises announced in class and the ones 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 shows up below, I will allow you extra time to hand in the exercise that was announced in class. If, however, exercises 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:
13 4/26 at 5:30 pm Written exercises:
  1. Compare the proof of

    in your notes with the proof of the Fundamental Theorem of Calculus (second version) and explain how the first proof is a special case of the second.
  2. parts (1) and (2) of 5.7.7.

Oral exercise: none.
12 4/19 at 5:30 pm Written exercises: 5.2.6 and 5.2.7.
Oral exercise: none.
11 4/12 at 5:30 pm Written exercises: Find the derivative of arctan(x); 4.5.4.
Oral exercise: none.
10 4/5 at 5:30 pm Written exercises: 4.2.1/(2),(4) and 4.3.2.
Oral exercise: 4.3.3.
9 3/29 at 5:30 pm Written exercises: 3.3.5 and 3.4.1.
Oral exercise: none.
8 3/22 at 5:30 pm Written exercises: 3.2.1 and 3.2.2.
Oral exercise: Prove part (5) of Theorem 3.2.10 in the special case when f(x)=1 .
7 3/15 at 5:30 pm Written exercises: 9.5.1 and 9.5.2.
Oral exercise: 9.4.5.
6 3/8 at 5:30 pm Written exercises: 2.5.7, 9.2.9 and Parts (1) and (2) of 9.3.8.
Oral exercise: Parts (1) and (2) of 9.3.1 (still assigned).
5 2/15 at 5:30 pm Written exercises: 9.2.1 and the following problem: let ak=1-1/2+1/3-...+1/(2k-1) and let bk=1-1/2+1/3-...-1/(2k). Prove that bk < bk+1 < ak+1 < ak.
Oral exercise: Parts (1) and (2) of 9.3.1.
4 2/8 at 5:30 pm Written exercises: 8.3.2, 8.3.15.
Oral exercise: none.
3 2/1 at 5:30 pm Written exercises: 8.2.1, 8.2.2.
Oral exercise: none.
2 1/25 at 5:30 pm Written exercises: part (2) of 2.5.13, part (1) of 2.8.4 and the following problem: write 0.132... as a quotient of two integers .
Oral exercise: 2.8.3.
1 1/18 at 5:30 pm Written exercises: part (1) of 2.3.3, 2.3.5.
Oral exercise: 2.3.8 (you may assume the interval is bounded).