Math 223 Spring 1998

Division 11 Section 01 Tuesday - Thursday 10:30 - 11:45 UNIV 117

Division 12 Section 01 Tuesday - Thursday 1:30 - 2:45 UNIV 019

Professor Gottlieb's office hours: Wednesdays 10 - 12

Grader: Ali Akoglu, phone 49-56595; email, akoglu@shay.ecn.purdue.edu

FINAL EXAM : May 5, 1998; 10:20 AM - 12:20 PM; Electical Engineering 129.

Course organization: This can be found on the assignment sheet (available from Prof. Gottlieb, or MathSci 205 or 242).

Amendments to this are as follows: Instead of three hour exams at 100 points per exam, there will be only two hour exams at 100 points per exam. About 150 additional points will be given on quizzes. 50 points will be given for homework. With the 150 points on the final, this adds up to the standard 550 points possible over the semester. Each quiz will be worth 10 points, 5 points of which will be given for attending the class when the quiz is given.

GOAL OF THE COURSE: Prof. Gottlieb will design the quizzes and parts of the hour exams to encourage students to learn to read carefully and accurately. The ability to read and speak and write with mathematical precision is the most important attribute necessary for success in mathematics.

EXAMS

FINAL EXAM : Tuesday May 5, 1998. 10:20 AM - 12:20 PM; Electical Engineering 129.

EXAM 1 : February 24, Tuesday. Bring books and calculators and handouts to the exam. It covers the first chapter and section 1 of chapter 2.

EXAM 2 : April 16, Tuesday. Bring books and calculators and handouts to the exam. It covers Chapter 2 and Chapter 3, except for 3.5 and 3.6.

ASSIGNMENTS

Assignment 1 : Using the algebra rule sheet, write out the meanings of equations 1 -10 and 15, 16, and 17 in words. Do not use symbols or abbreviations. Also give an example of the rule by using the numbers on the number sheet. If you cannot express a rule in words, then give 26 examples of it instead.

Assignment 2 : Lessons 1 and 2 . Due 1/27/98

Assignment 3 : Lessons 3 - 4 and Lessons 5 - 6 . Due 2/3/98

Assignment 4 : Lessons 7 - 8 . Due 2/10/98

Assignment 5 : Lessons 9 - 10 and 11 - 12. Due 2/17/98

Assignment 6 : Lessons 13 -14 and 15 - 16. Due 2/24/98

Assignment 7 : Lesson 17. Due 3/4/98

Assignment 8 : Lessons 18, 19 - 20, 21 . Due 3/17/98

Assignment 9 : Lessons 22, 25 - 26 . Due 3/24/98

Assignment 10 : Lessons 27 - 28, 29 . Due 3/28/98

Assignment 11 : Lessons 30 - 31, 32 . Due 4/7/98

Assignment 12 : Lessons 38 - 39, 40 - 41. Due 4/14/98

Assignment 13 : Lessons 33 - 34, 35, 43. Due 4/28/98

QUIZZES

1. Which numbers on the number sheet are equal to each other?

2. Is f(x) = x^2 / x the same function as g(x) = x ?

3. How many solutions can there be for the simultaineous set of equations y = f(x) and y = g(x) where f is a linear function and g is a quadratic function?

4. How many entries in the chapter summary on page 82 have not been covered in the class? (I. e., how many are defined in section 5?)

5. Different in the two classes. Essentially the difference between 3 as a number and 3 as a function.

7. Given values for f(0), g(0), f'(0), g'(0), use quotient and product rules to find the derivatives at 0 for quotients and products.

8. Given u^2 + v^2 = 1 + u^3 . Find du/dv when u = v = 1.

9. Least amount of information to give h'(3) when h(x) = f(g(x)).

10. Given g(x) and f'(x) , what is h'(1) equal to if h(x) = g(x)f(x) ?

11. A rocket ship is going at 1000 miles per hour after one hour. How fast is it going after two hours if its fuel consumptiom is proportional to time and its position is invesely proportional to it fuel consumption?

12. Intemediate question based on trying to solve 11.

13. Two function's graphs intersect at (2,2). Both functions are increasing and concave upward at x = 2 . What is the sign of the derivative of the product of the two functions at x = 2 ?