21-259  CALCULUS IN THREE DIMENSIONS

Instructor: Cristina Popovici
                    Carnegie Mellon University
                    Department of Mathematical Sciences
Office Phone:(412)268-6828
Office: Wean Hall 6213
e-mail: cristina@andrew.cmu.edu
Office Hours: Monday-Friday 8:00-9:00 am WeH 6213

CLASS MEETS: Monday--Friday  9:00-10:20   DH 2302.

PREREQUISITE: 21-120 Differential and Integral Calculus. If you didn't take this course you need to review the differentiation of functions and the methods of integration.

COURSE OBJECTIVE: At the end of this course you will be able to compute areas of regions in plane, surface areas and volumes of various regions in space. This will be reflected by your ability to handle specific applications of the theory through a wide range of problems and exercises. During each lecture I will present some theoretical facts and I will also do some applications. I strongly encourage the students to participate during both parts of the lectures since active participation might also improve your grade, if necessary. It will be a very good idea to practice your problem solving skills by attempting to solve the homework problems since the exam problems will be similar to them

TEXTBOOK: James Stewart, "Calculus. Early Transcendentals", Fourth Edition,
Brooks/Cole Publishing Company. We will cover the sections 10.1-10.4, 12.1-12.7, 13.1-13.4, 14.1-14.8, 15.1-15.8,  16.1-16.10.

COURSE WEB PAGE: http://www.math.cmu.edu/users/cristina/summer03.html

GRADING: Your final grade will be determined by your performance on the three exams and the homework assignments in the following way :
                                                Homework :  40%
                                                Exam #1:       20%
                                                Exam #2:       20%
                                                Exam #3:       20% .

REGRADING: It is very important that the students go over every single graded homework or exam to check for feedback and grading accuracy. You are welcome to discuss with me any concerns that you might have regarding the grading of your homework assignments or exams. Every homework or exam is subject to be regraded upon the student's request.

HOMEWORK: Homework problems will be announced in class and posted on the course web page as we proceed. You should try to do all the problems in the homework  since the majority of the exam problems will be from them or similar with them.

LETTER GRADES: A>=85, B: 70-84, C: 60-69, D: 50-59, R<=49.

TEST DATES: The tests will be given on these dates:
                                                Exam #1: Friday, May 30, 2003
                                                Exam #2: Friday, June 13, 2003
                                                Exam #3: Friday, June 27, 2003
 
 

SCHEDULE

HOMEWORK ASSIGNMENTS

COURSE POLICIES: It is very important that you attempt to solve the homework problems on your own. The  exams are to be written individually, any collaboration is prohibited. No calculators will be permitted while you take the exams. Make-up tests will be given only in case of a legitimate excuse. If for some reason you are not able to take a particular test at the scheduled date, you will need to inform the instructor in advance.
Cheating Policy: Carnegie Mellon University Policy on Cheating and Plagiarism will be in effect. You can found this at http://www.cmu.edu/policies/documents/Cheating.html
 Attendance will not be taken in this class,however I recommend you to attend class regularly.If you do miss your class ask me what was covered in the lecture and whether any important announcements were made.
    The single most important thing that you should do is work out 125% of the homework.
    Like all mathematics, the material in the course cannot be learned passively.However reasonable, simple, or rational  you may find what you read or hear, you do not understand it if you cannot apply it yourself.Thus it is very important to test yourself by doing problems.
    Students eligible for special accomodations such as extended time for tests are strongly encouraged to discuss their needs with me as soon as possible. I will be happy to make such arrangements.
    You are welcome to discuss with me any question or concern about the course.