| Instructor: Gábor Hetyei | Last update: Wednesday, April 17, 2019 |
| 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 | Tue Apr 23 |
Written exercises: Both parts of Exercise 7.2.6 (prove parts (3) and (4) of Theorem 7.2.8). |
| 11 | Tue Apr 16 |
Written exercises: Parts (1) and (2) of 10.4.1 and part (1) of
10.4.6. |
| 10 | Tue Apr 9 |
Written exercises: 9.5.1 and 9.5.2. . |
| 9 | Tue Apr 2 |
Written exercises: 10.3.1 and 10.3.2. |
| 8 | Tue Mar 26 |
Written exercises: 10.2.1/(1) and 10.2.2/(2). Bonus: 10.2.6/(6) |
| 7 | Tue Mar 19 |
Written exercises: 5.8.1 and 5.9.10. |
| 6 | Tue Mar 12 |
Written exercises: part (2) of Exercise 5.6.1, Exercise 5.6.3,
parts (1) and (2) of Exercise 5.7.7. Oral Exercise: Part (3) of Exercise 5.7.7 |
| 5 | Tue Feb 12 |
Written exercises: Exercise 5.2.7 and Exercise 5.3.1. Oral Exercise: Exercise 5.2.8 |
| 4 | Tue Feb 12 |
Written exercises: Exercise 4.5.4 and Exercise 5.2.6. Oral Exercise: 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 | Tue Feb 5 |
Written exercises: Exercise 4.6.7 and find the derivative of
arctan(x). Oral Exercise: Part (3) of Exercise 4.6.1. (Prove the the inverse of a strictly monotone continuous function is continuous.) |
| 2 | Tue Jan 29 |
Written exercises: Exercises 4.3.2 and 4.4.4. Oral Exercise: Exercise 4.3.3. |
| 1 | Tue Jan 22 |
Written exercises: Parts (2) and (4) of Exercise 4.2.1 and
Exercise 4.2.2. Oral Exercise: Exercise 4.3.1. |