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Multivariable Calculus
Multivariable Calculus is the differentiation and integration of functions involving several variables, rather than just one. It is used in many disciplines and the understanding of vectors, vectors spaces, and higher level integration techniques.
The prerequisites for this course are: Calculus II
This course is a co- or prerequisite for: Differential Equations, Classical Mechanics I
Book resources
- James Stewart - Calculus_ Early Transcendentals-Cengage Learning (2015)
- Schaum's Outline of Advanced Calculus, Third Edition (Schaum's Outlines) 3rd Edition
Chapter 16 - Vector Calculus
Section 16.1 - Vector Fields
Section 16.2 - Line Integrals
Section 16.3 - The Fundamental Theorem for Line Integrals
Section 16.4 - Green’s Theorem
Section 16.5 - Curl and Divergence
Divergence
Curl
Section 16.6 - Parametric Surfaces and Their Areas
Section 16.7 - Surface Integrals
Section 16.8 - Stokes’ Theorem
Section 16.9 - The Divergence Theorem
Section 16.10 - Summary
Chapter 16 - Vector Calculus
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