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Homework assignments
(MATH 6101-090/EDCI 8101-090, Fall 2018)
Instructor: Gábor Hetyei Last update: Thursday, November 29, 2018

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:
13 We Dec 5 Written exercises: 3.2.1, 3.2.2.
12 We Nov 28 Written exercises:
  1. Assume that the limit, as n goes to infinity, of an is infinity. Prove that the same holds for an-r where r is any fixed real number.
  2. Prove the inequality |a1+a2+... +an| < |a1|+|a2|+... +|an|

11 We Nov 14 Written exercises: part (5) of 8.4.12, 9.2.7.
10 We Nov 7 Written exercises: 8.3.15 and the following problem: let ak=1-1/2+1/3-...-1/(2k) and let bk=1-1/2+1/3-...+1/(2k-1). Prove that ak < ak+1 < bk+1 < bk.
9 Tu Oct 30 Written exercises: 8.2.1, 8.2.2.
8 We Oct 24 Written exercises: 2.6.17, write 0.12123 as a quotient of two integers.
Oral exercise: 2.8.3
7 We Oct 17 Written exercises: 2.5.6, 2.5.8, 2.5.12 (all parts)
6 We Oct 10 Homework from now on is from the Analysis textbook! Written exercises: 1.6.2./(1), 1.6.3
Oral exercise: 1.6.4/(1)
5 We Sep 26 Written exercises: 4.4.1/(1)(2)(3)(4), 6.5.1
4 We Sep 26 Written exercises: 3.3.6, 3.3.20
3 We Sep 12 Written exercises: parts (2), (5) and (6) of 6.3.1, 6.3.2.
2 We Sep 5 Written exercises: 2.2.8, 2.4.2
Oral exercise: 2.5.6.
1 We Aug 29 Written exercises: 1.3.8, 1.5.3
Oral exercise: using only the disjunction, conjuntion and negation operations, create an expression that is logically equivalent to "if P then Q" and prove the logical equivalence using truth tables.