MATHS 267: Calculus 3 (4)

Syllabus

1.       Prerequisite:  MATHS 166

 

2.       Course Description: Multidimensional calculus and its applications. Topics include three-dimensional vector calculus, Gauss’s theorem, Green’s theorem and Stokes' theorem.  The course includes the use of graphing calculators and computer software.

 

3.       Course Objectives:  This course extends the study of calculus to the multivariate realm.  As the material becomes more complex and subtle, the student is expected to gain skills in abstraction and application of calculus to a wide variety of situations. Available technology such as graphing calculators and computer software will allow the student to carefully examine the intricate generalization of calculus to a multivariate setting.

 

4.       Course Rationale:  This course, which completes the elementary calculus sequence, is fundamental to the preparation of every student who intends to study or specialize in mathematics or a related field.

 

5.       Course Content:  The topics to be covered are listed in the course description.  They constitute the standard multivariate calculus course offered at nearly every college or university. The students are expected to attend class regularly and to study the material and examples in the text as well as those presented in class. 

 

It is expected that the student will master and utilize a graphing calculator and the computer algebra system Mathematica.  Relevant portions of the Departmental Mathematica Tutorial will be incorporated into the course.  Additional applications of Mathematica will be included.  The program Mathematica, as well as the Departmental Mathematica Tutorial and sample Mathematica labs, are available on any Departmental lab computer. 

 

6.       Course Format:  Lecture-discussion.

 

7.       Methods of Evaluating Student Performance:  Course grades are determined primarily by student performance on tests, quizzes, and projects, as well as possibly homework and class participation. The evaluation and weight of these various components are at the discretion of the individual instructor.

 

8.       Evaluation of the Course:  The department Undergraduate Programs Committee will periodically evaluate the MATHS 267 course.  Assessment techniques used in evaluating the teaching of this course may include student evaluations or peer evaluations

 

Revised by M. Karls, Fall 2005