Math 2210 - Calculus III

Instructor: Daniele Arcara, JWB 330, 581-6131, arcara@math.utah.edu

Home page for the class: http://www.math.utah.edu/~arcara/teaching/0401/2210.html

Office hours: Tuesday & Thursday 9am-10am, and anytime by appointment.

Text: "Calculus" by Johnston & Mathews, first edition, Addison-Wesley. It is NOT required that you purchase the text, but it is REQUIRED that you at least purchase the MyMathLab license to view the on-line version of it.

We shall cover parts of chapter 3, and chapters 8 through 12.

Prerequisite: Math 1220 - Calculus II

Course Description I (from http://www.acs.utah.edu/GenCatalog/1034/crsdesc/math.html): Vectors in the plane and in 3-space, differential calculus in several variables, integration and its applications in several variables, vector fields and line, surface, and volume integrals. Green's and Stokes' theorems.

Course Description II (from the Calculus coordinator): Mathematics 2210 is an introduction to multivariable calculus. We shall develop derivatives and integrals for functions of several variables. Early attention will be paid to vectors and motion in two and three dimensional space, with particular emphasis on linear functions of vectors and their representations as matrices. The fundamental differential operators of multivariable calculus, div, grad, and curl, and their physical interpretations for fluid and electromagnetic fields, will be examined in detail. Integration of functions on curves, surfaces, and volumes will be developed along with various applications. The course will conclude with an introduction to vector field theory and the fundamental theorem of calculus in several variables, with applications to the key partial differential equations of science, engineering, and finance.

Attendance Policy: You are expected to come to class regularly and to participate actively. You are responsible for all the material covered in class, and for any announcement made.

Grading Policy:

Homework. We shall use webwork, a computer program by which students log onto the computer and work problems online. Assignments will be usually due on Wednesdays, and posted at least a week before the due date. To log into webwork, go to http://webwork2.math.utah.edu/math2210spring2004-2/.

Extra Credit. Extra credit is available for people that solve homework problems as the material is covered in class. In particular, for every assigment due on a Wednesday, every problem solved correctly by Monday morning at 8am will count for extra credit.

Tests. There will be 3 tests, each worth 15% of your grade. Right now, they are scheduled as follows (but dates might change):

• Test # 1: Friday, February 13.
• Test # 2: Friday, March 26.
• Test # 3: Friday, April 23.

Final. The final exam is on Wednesday, May 5th, 8am-10am.

Letter Grades After the final, all of your grades shall be averaged together, and a letter grade shall be assigned (after adding the extra credit) as follows:

Remember: The course syllabus provides a general plan for the course; deviations may be necessary.

Last updated on January 14, 2004.