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Calculus III

4 Credits | 100 Level | 60 Contact hours

Textbook: Calculus. Early Transcendentals, 8th edition, by James Stewart.

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.

• Unit 1: Vectors and The Geometry Of Space.
• Unit 2: Vector functions.
• Unit 3: Partial Derivatives.
• Unit 4: Multiple Integrals.
• Unit 5: Vector Calculus.

1. Given vector-value or real-valued functions involving two or more independent variables, students will identify and use appropriate techniques to analyze the fundamental properties of those functions. Included would be partial and directional derivatives, gradients, differentials, and integrals over lines, surfaces and solid regions.

2. Students will be able to setup and solve physical applications problems related to all aspects of motion along a curve. Included would be the arc length of a curve, tangent, velocity, and acceleration.

3. Students will be able to use the concepts of divergence, curl and flux and apply Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem. Students will solve problems related to vector fields including flow fields and conservative vector fields.

Three midterm Exams 20% each
HW and Quizzes 20%
Final Exam 20%

Attending class is MANDATORY in this course