Math 1571H Honors Calculus Fall Semester 2001
Exam on Methods of Differentiation
In the course schedule it states that the exam on 'methods of differentiation' will be held on Thursday October 18, but I realize now that this is not a good idea, and that it will be better to have it a week later, on Thursday October 25, in the recitation. This exam is given on a pass-fail basis and you must do at least 6 of the 8 problems correctly to pass. (That also is incorrectly stated on the schedule, where it says there will be 10 questions and you have to do at least 8). There is no partial credit. You may take the exam several times, but you must pass this exam to pass the course. Students who pass this exam on the first try will have 5 points added to their grade on the first mid-term exam. The material to be examined is sections 3.1-3.6 of Simmons, together with questions like Extra Questions 1-7 given lower down on this sheet. In each question you will simply have to differentiate a function, and you will not be asked things like theoretical properties of limits. No calculators will be allowed on the exam.
In preparing for the exam it is important to get quick at doing derivatives, so that you can get through the questions in 50 minutes. It is more important to make sure you can do the problems at the ends of the sections of Simmons than to read every detail of the book.
Assignment 6 - Due Thursday 10/18/2001
Read: Simmons Sections 3.3, 3.4, 3.5, 3.6
3.3: 4, 14, 18, 26, 33, 34, 44*, 45, 46
3.4: 2, 3, 4*, 5, 6, 7, 9, 12*, 21, 22, 24, 30, 34
3.5: 2, 3, 4, 5, 9, 10*, 29b, 34*, 36, 37, 39, 40*, 42, 46*
3.6: 2, 3, 4, 8, 10*, 12*
In the following questions assume that and are functions satisfying and.
Differentiate: 1. 2. 3. 4. 5.
6. Given that find in terms of y and x.
7. Given that find in terms of y and x.