Xi’an Jiao Tong University- Calculus 2 Summer
Syllabus
LION International Summer School 2012
Time: June 1st 2012-June 29th 2012
Class Time: 1:30PM—3:30PM Monday--Thursday
Instructor: Ali Haddad
Office: # Xi’an Jiaotong University
From: Yale University
Office Hours: MWF: 12:00pm-12:45pm & 3:20pm – 4:10pm Or by appointment
Phone:
E-mail:).
Textbook:
How to succeed in this course:
• Come to class.
I am not the best teacher in the world, but I can still help you to understand the
subject.
• Ask questions.
There is no such a thing as a stupid question. If you do not understand something
chances are somebody else does not understand it either. Be the brave one and
ask.
• Solve as many homework problems as possible.
The problems that will be given on the test will be similar to the problems on the
homework list. Thus, if you solve the homework problems, the gained knowledge
and confidence will be very helpful on the test. Also try to do the problems alone.
There is no problem in asking for help from me, your friend(s), etc. But, in the end,
try to solve the problems again and alone, without anybody’s help or written
reference. Remember, you will be alone during the tests.
• Write carefully.
The grades I assigned are based not only on your answer but on your work. You
may get full credit with a wrong answer and no credit with a correct answer. You
need to give me enough supporting work that justifies your answer. Everything
has to presented in a clear, reasonably complete and coherent way. In addition,
for the written assignment, attention should be given to the proper use of English.
• Be prepared when you come to the office hours.
By this I mean that should know in advance what you want to ask me. I will try to
answer any specific question you may have and clarify any specific trouble spot
that you struggle with. But you will have to know what and where it is. In fact, I
will be very happy when you eventually learn how to communicate effectively
your troubles with the subject. That will mean that you learned a lot and that you
probably do not need me anymore.
• Study every day.
The ability to think and study with focus is very important and exclusively human
characteristic. But it has to be nurtured, just like any other ability. The best thing I
can recommend is to come to the class, try to understand as much as possible
during the class, visit my office hours if necessary and then spend some time on
reading the textbook and doing the practice homework problems. If you check the
Webster’s dictionary for the work “student” or “study”, you will realize that it does
not mention the words “overnight” or “a day before”.
Homework: The purpose of the homework is to prepare you for the exams. It will
be collected.
The homework is a very important part of the course. No matter how well you
think you understand the material presented in class, you won’t really learn it until
you do the problems.
You are free to devise whatever strategy for learning the material which suits you
best. This may involve collaboration with other students. However, most people
will get the maximum benefit from the homework if they try hard to do all the
problems themselves before consulting others. Try to find your own solution,
expressed in your own words, even if this solution was arrived at with help from
someone else. Remember, you are doing the homework in order to learn the
material; do not try to defeat the purpose of it.
The homework is not collected and therefore not graded, but it actually affects
your final grade substantially. After you do and write down a lot of problems by
yourself you will gain a lot of knowledge and confidence which will then show in
the exams. Note that it is not enough to glance over the problems and say “oh, I
know this”.
Written Exams: The use of the textbook or any other written reference is not
allowed during the exams. Calculators are not allowed. More information on the
content will be given in class as the time for the exams approaches.
It is your responsibility to organize your activities in such a way as to avoid
missing any of the exams. Make up exams will be offered only in case of serious
and well documented medical or family problems. No make up exam will be
offered to students that did not talk to me about their absence before the regularly
scheduled exam.
Quizzes: There will be 2 quizzes,there are no make-ups for quizzes. I will drop the
lowest one quiz score.
Course Grading
In class activity 10% 98-100 A+ 67-69 C-
Quiz 10% 93-97 A 63-66 D+
Homework 30% 90-92 A- 60-62 D
Midterm Exam 20% 88-89 B+ 55-59 D-
Final Exam 25% 83-87 B 0-55 F
Writing Project 5% 80-82 B-
78-79 C+
70-77 C
Academic Dishonesty:
I diligently pursue all cases of academic dishonesty. Please see the student conduct
code if you do not understand this issue. Academic dishonesty includes representing
the work of another as one’s own work or cheating by any means. Academic
dishonesty also includes aiding, abetting, concealing or attempting such activity. The
usual penalty is an F in the course and possible suspension from the University
Multivariable Calculus – Daily Schedule
Week 1
Day 1- Calculus II Review, Three-dimensional Coordinate Systems
Day 2 – Vectors, The Dot Product
Day 3- The Cross Product, Equations of Lines and Planes
Day 4- Equations of Lines and Planes,
Week 2
Day 5- Quiz I, Cylinders and Quadric Surfaces
Day 6 - Vector Functions and Space Curves and their Derivatives
Day 7- Integrals of Vector Functions, Arc Length and Curvature
Day 8- Functions of Several Variables, Limits and Continuity for Functions of
Several Variables, Review for Mid-term
Week 3
Day 9 –Mid-term Exam
Day 10- Partial Derivatives, Tangent Planes and Linear Approximations
Day 11- The Chain Rule, Directional Derivatives and the Gradient Vector
Day 12- Maximum and Minimum Values, Lagrange Multipliers
Week 4
Day 13- Quiz II, Double Integrals over Rectangles, Iterated Integrals
Day 14- Double Integrals over General Regions, Surface Area, Vector Fields and
Line Integrals
Day 15- Curl and Divergence, Review for Final
Day 16-Final Exam