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Catalog Name :
Math 20C, Calculus & Analytic Geometry for Science and Engineering

Credits :
4 credits
(unless you have  already taken Math 10C in which case this course is considered 2 credits)

Prerequisites :
Math 20B with a grade of C- or better, or
AP Calculus BC Score of 3,4 or 5

Description :
The following topics will be covered:
  • Vectors and Basic Operations on them
  • 3D Coordinate System, Lines and Planes in 3D
  • Parametric Representations of Curves
  • Vector Valued Functions
  • Functions of Two Variables, their Differentiation and Optimization
  • Cylindrical and Spherical Coordinates - will be omitted due to loss of one week because of the wildfires.
  • Multiple Integrals
Course Webpage:
http://www.math.ucsd.edu/~emengi/teaching/math20c/math20c.html
(It is your responsibility to check the webpage regularly.)

Textbook :
Calculus, Early Transcendentals by James Stewart - 5th Edition
The thicker version including single variable calculus is recommended.
If you are confident about single variable calculus, the thinner multivariable calculus should also be fine . But keep in mind that we will generalize concepts from single variable calculus. You may need to review some of the key concepts from single variable calculus. 

We will cover parts of Chapters 10,12,13,14,15 from the textbook. For the exams you are responsible from all of the sections on the  
course calendar.

Grading Policy :

Your grade will be based on your performance in five homeworks, two midterms and the final. We will use one of the following two schemes (whichever yields the higher score) to calculate your overall score out of 100.
  • %25xMidterm 1  +  %25xMidterm 2  +  %20x(Average of best 4 homeworks)  +  %30xFinal
  • %25x(Best of Midterm 1 and Midterm 2)  +  %20x(Average of best 4 homeworks)  +  %55xFinal
Remember always that this is a curved-class . We will use curve in favor of you. This means that if the class average is high, then we will use the standard scale below.
D C B A
60<= score <70 70<= score <80 80<= score <90 90<= score <=100
 
But more likely we will have to use a different scale so that you can get better grades than the above scale suggests.  For instance if your overall score is 80 but if you are in the upper %10 of the class, you should normally receive an A. Unless the class-average is high, what matters in the end will be your rank in the class and your average as compared to the class-average. Please don't get discouraged if you find an exam difficult; possibly it was a tough exam for the majority of the class.

Midterms :
Midterms will be held during the lecture hours on the indicated dates on the course calendar. Typically there will be four or five questions in each of the midterms. Midterm 1 will cover Sections 12.1-5, 10.1-2, 13.1-4. Midterm 2 will cover Sections 14.1-8. Both of the midterms will be open-book exams meaning you can bring any book and notes to the midterms.  There will be no make-up midterms; if you have to miss a midterm, you still have the opportunity to make it up by performing well in the final. 


Final :
Final is scheduled on December 10th, 2007 from 8am  to 11am. Please make sure that you have no other final scheduled at this time. (neither you would like to have multiple finals, especially three or more, on this date.) There will be no make-up final under no circumstances.  

Homeworks :
Homeworks are due at 3pm on the dates indicated on the  course calendar. You will have to drop them off to the homework box reserved for our class on the 6th floor of the APM building. Homework boxes are on the right on the 6th floor as soon as you leave the elevator. One of the boxes will be labeled as Math20C (Lecture C). Late homeworks will not be accepted. Additionally there will be suggested questions from the textbook, which will be solved during the discussion sections. These questions are not going to be collected or graded.  Their sole purpose is to get you prepared for the exams. Please check the  homework page to access the latest homeworks and suggested questions posted. 

Calculators :
Use of a graphic calculator such as TI-85 or TI-86 when solving the homeworks or suggested questions is recommended. Calculators are not allowed during the exams.

Lectures :
Attendance to the class is not required. However, I believe that the most efficient way to learn is sitting in the class. Because this gives you the opportunity to interact in case something is not clear. Besides we will be spending our time on the most essential concepts and skipping some of the less important ones in your book that are likely to be forgotten quickly. The aim of the lectures is to teach you memorable concepts and techniques that you can apply in your careers.  

Discussion Sections :
Discussion sections meet every Tuesday and last 50 minutes. Your TAs will be solving some of the homework and suggested questions. Here you will find more time to raise individual questions. This provides a good opportunity to practice with your friends and knowledgable TAs. 


Academic Dishonesty :
I wish this does not have to be mentioned in the syllabus. Unfortunately in the past I had incidents of academic dishonesty in my class when I thought it was humiliating to mention at the beginning of the quarter. I apologize for this remark here, because it is not a civilized message and it does not concern most of you. Please realize that you are in one of the most respected colleges in California and we expect you to behave accordingly during the lectures and exams. In the case of any unethical act during the lectures or exams, necessary steps will be taken. Do you know that in one of the colleges in California there is no proctoring during the exams? Here is an interesting pbs article on academic dishonesty.