Multivariable Calculus

**FINAL EXAM: Please double check with the website http://registrar.sas.cornell.edu/Sched/finals.html**

MATH 2220 Fri, May 13 9:00 AM IVS105: Ives Hall 105

**News!: ** **Practice Problem Term 3** **Solutions**

**News!: **Matsumura's office hour changed: Wed 3:00 to 5:00pm (Effective from March 2nd)

**News!: ** **Practice Problems Week1-4** **Solutions (Typo fixed Monday 2/21)**

**News!: **Prelim I, 2/22 (Tue), 7:30PM - **9:00** PM (90 minutes), GSH132 **University Exam Schedule**

**News! (2/10)**: Solution to HW2 is uploaded.

**News! (2/4)**: Solution to HW1 is uploaded.

**News! (2/4)**: Due to the cancellation of a class on Monday, we have decided not to cover Section 3.2 Taylor's theorem in detail. As a consequence, the problems from Section 3.2 are no more HW problems.** **

**News! (1/28)**: After one week of class, we decided not to give quizzes during the semester. Although it is the tentative percentage, we changed that HW scores give 15% of the final grade.

** Office hours:**
Other than the following fixed hours, please contact the instructors by email to ask their availability.

**Prerequisites:** Besides single-variable calculus,
we will be assuming some linear algebra. Math 2210 is officially listed as a
prerequisite for 2220, and it contains more than enough linear algebra for 2220.
Students who haven't had 2210 and who are willing to learn the necessary linear
algebra on their own should be able to manage in 2220. The textbook begins with
a chapter on vectors that includes most of the linear algebra we will need.
This chapter is not part of the course syllabus, but topics from it will be
reviewed briefly in class as they come up. However, keep in mind that this is
only a review of things you are already supposed to know.

**Text:** Vector Calculus by Jerrold Marsden and Anthony Tromba, Fifth Edition.
We will not always be doing topics in the same order as in the book.
Some students may wish to use the textbook more as a reference, relying more on what happens in class
for learning the material.

**Course Schedule**
(follow the link). The course breaks up into three parts:

I. Multivariable Differentiation. (Chapters 2 and 3 of the book)

II. Multivariable Integration. (Chapters 5 and 6)

III. Vector Analysis, combining parts I and II. (Chapters 4, 7 and 8)

This fits well with the exam schedule of two prelims and a final, as the first prelim will cover topic I and the second prelim will cover topic II. The final will be cumulative, but with some emphasis on topic III (which uses both I and II).

**Homework: **There
will be problem sets due on Wednesday/Thursday of each week in your discussion section, starting with the second
week. Students may work alone or in groups on the homework, but the solutions
you hand in should be your own write-up. The list of problems can be found on
the **Course Schedule**.
We won't grade all problems, instead, we give the completion points. So
please check the solutions after solutions are posted a few days after
the problem
sets are due. Two lowest scores will dropped. No late homework.

**Grading:** Prelim 1 (20%), Prelim 2 (25%), Final (40%), HW (15%)

** Exams: **
Students with special needs should contact their lecturers well in
advance of the exams. Same in the case of conflict exams, although it is
the student's responsibility to check the

Find the place for the final exam in

**Practice Problems for exams:**

**Graphing:** It can be
very helpful to visualize some of the content of the course by using computer
graphing software. This is not officially part of the course (and won't be part
of the exams or homework sets), but you may find it worthwhile to explore this
on your own. There is probably lots of software available for this, but if you
happen to have a Mac that isn't too ancient, you will already have a little
application called Grapher that can create some amazing pictures -- just try
it!

**Academic Integrity:** Each student in this course
is expected to abide by the Cornell University Code
of Academic Integrity.

**Extra Help ** is
available in the Math
Support Center.