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Calculus III

4 Credits | 200 Level | 50 Contact hours

Calculus. Early Transcendentals, 8th edition, by James Stewart. ISBN: 978-1285741550

This course is a continuation of Calculus II ; infinite series, three-dimensional calculus.
Emphasis in this course will be placed on understanding the underlying concepts rather than memorization: knowing why is the key to knowing how.

1. 3D Coordinate System and Vectors
2. Dot and Cross Products
3. Derivatives and Integrals of Vector Functions
4. Partial Derivatives
5. Maxima and Minima
6. Double and Triple Integrals
7. Green's theorem, Stoke's Theorem & Divergence Theorem

Upon successful completion of this course, students will be able to:
• Calculate dot products, crossed products; find partial derivatives of functions of several variables.
• Solve optimization problems.
• Setup and evaluate double and triple integrals.
• Work with vector fields, e.g. compute the curl and divergence.
• Use integral theorems of multivariable calculus: e.g. Green’s theorem.

Class Attendance 10%
Homework and Quizzes 10%
Exams 60%
Final Exam 20%