COURSE SYLLABUS

Course Number: MATH2630
Course Title: CALCULUS III
Credit Hours: 4
Prerequisites: MATH1620
Corequisite:

Objectives: 
To develop student mathematical and analytic skills.  To present the fundamental concepts of multivariate calculus and to develop student understanding and skills in the topic necessary for its applications in the sciences and engineering.

Course Content: 
Three Dimensional Analytic Geometry and Vectors. [6 days]
Vector-Valued Functions and Space Curves, Motion in Space, Cylindrical and Spherical Coordinates.

Partial Derivatives. [18 days]
Functions of Several Variables, Limits and Continuity, Partial Derivatives, Tangent Planes and Differentials, The Chain Rule, Directional Derivatives and the Gradient Vector, Maxima, Minima, and Saddle Points, Lagrange Multipliers.

Multiple Integrals. [14 days]
Double Integrals over Rectangles, Iterated Integrals, Integrals over General Regions, Triple Integrals, Integrals in Cylindrical and spherical Coordinates and Change of Variable in Multiple Integrals.

Vector Calculus. [14 days]
Vector Fields, Line Integrals, Green's Theorem in the Plane, Curl and Divergence, parametric Surfaces, Surface Integrals, Stokes' Theorem and the Divergence Theorem.

Possible textbook:
Calculus, 3rd edition, Stewart, 1995, Brooks/Cole.

Grading and Evaluation Procedures: 
Quizzes, tests, midterm exam, final exam. Other methods of evaluation are used at the discretion of the instructor.

Statement related to policies on unannounced quizzes and class attendance and participation:
Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester.