Math 275

Multivariable Calculus (Calculus III)

Spring 2008

 [Diary][Assigments][Exams]

MG 139

1:40 pm - 2:30 pm MTWF
Office hours: MT 9:00-10:00 am

Final:   May 14, 2008: 1:00 - 3:00 pm.

Catalog Description

M 275 MULTIVARIABLE AND VECTOR CALCULUS (4-0-4) Vector algebra and geometry, functions of several variables, partial and directional derivatives, gradient, chain rule, optimization, multiple and iterated integrals. Parametric curves and surfaces, vector fields, divergence and curl, line and surface integrals, Green's, Stokes' and divergence theorems. Use of software such as Maple or Mathematica for visualization, exploration, and solution of ``real-world'' problems. PREREQ: M 175

Prerequisites

Second semester calculus.

Jurisdiction

This course is controlled by a departmental committee, whose members may or may not be teaching the course. All sections (there is usually only one) use the same text, which is chosen by the committee.

Learning Objectives

Upon completion of this course, the students will have made substantial progress in:

1. using the geometry of space: lines, planes, surfaces, and vectors in two and three dimensions to solve problems in mathematics and some elementary applications.

2. using the calculus of real-valued functions whose domains are sets in one, two or three dimensions and being able to explain why some theorems from one dimensional calculus fail in two or three dimensions.

3. applying the calculus of functions of several variables to a variety of elementary problems.

4. applying the calculus of vector-valued functions whose domains are sets in one, two or three dimensions to simple exercises.

5. acquiring a ``conceptual framework'' encompassing these topics and their potential applications.

Assessment of Learning Objectives

Students will be assessed by evaluating their ability to do problems based on the learning objectives. The problems will occur in several contexts;

• Periodic problem sets for homework serve both as learning and assessment tools. 
• Problems given on in-class examinations (term or final) are designed to give students the opportunity to demonstrate their ability to apply rules and formulae to the solution of simpler problems.

Homework

Assignments are due, on the table at the front of the classroom, at the beginning of class on the scheduled due date. No late homework will be accepted.

Exams

There will be two term examinations and one final examination in this class.

Grade Composition

HW:   200
Tests: 200
Final:  200
Total:  600

Letter grade scale (in %):