Math 105:
  Multivariable Calculus  

Professor Cesar Silva
Bronfman Science Center 207
Phone: 597-3092
E-mail: csilva@williams.edu
http://www.williams.edu/Mathematics/csilva

Text

Multivariable Calculus, or whole text Calculus with Analytic Geometry, by C.H. Edwards and E. Penny, Fifth Edition, 1998.

 

Course Description

In this course we will generalize the concepts and ideas of calculus of one variable to several variables. This will lead us to the study of 3-dimensional Euclidean space, partial differentation and multiple integration, i.e., differentiation and integration of functions of several variables. In addition, the last part of the course will cover infinite series, and there will be some problems that will involve the use of Mathematica.

Exams

Two take home exams and a final.

First exam on October 13 or 14.

Second exam on November 17 or 18.

Final scheduled by the Registrar.

Grading

Homework 15 % (Two homework sets are dropped; NO LATE homework.

Quizzes 10%(One quiz grade is dropped; NO LATE quizzes.

First exam 22%, second exam 26%

Final exam 27%.

In all cases the judgment of the instructor is what determines the final grade.

Homework

Homework will be collected each week at the beginning of class, mostly on Fridays. Late homework will not be accepted. If for any reason you cannot make it to class, plan ahead so that a friend can turn in the homework for you.

The homework problems will be from the list below. Each week I will assign about 20 problems, with 6 or 7 problems from each of the 3 lectures. Of the 20 problems, 6 will be randomly selected for grading; each will be worth 5 points. You will also get 1 point for each problem submitted. That is, you may get a total of 20 plus 30 points. For a given day, turn in the problems assigned on the syllabus that appear in bold face. The problems that are not in bold face are for you to practice.

T.A.

The T.A. is Shara Pilch, x2860, 00sap@williams.edu. She will conduct help sessions on times to be determined.

Resource Center

The resource center will also be available to you with 105 tutors on Sunday through Thursday, 8 till midnight in Room 106, Physics.

Honor Code

All work done on the quizzes, the exams and the final is expected to be solely the work of each individual. All quizzes, exams and final are closed book; books and notes are not allowed. However, calculators will be permitted.

On the homework sets you may consult with any other student who is taking this course or with the T.A.'s and the Resource Center tutors. However, the write up must be done individually and each person who has been consulted must be acknowledged.

Syllabus

If you have Adobe Acrobat Reader, you may download the syllabus in PDF format.
105 Syllabus