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Justin M. Ryan

Assistant Teaching Professor
Department of Mathematics
Wichita State University


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M344: Calculus III

Online Course Notes

This page is a repository where I keep course materials that I've created for this class. This course uses the text Calculus, 8th edition by James Stewart. Students should always access course documents through Blackboard. Anyone who wishes to use these documents may do so, subject to this Creative Commons License.


Chapter 15: Multiple Integrals

15.1: Double Integrals over Rectangles

15.2: Double Integrals over General Regions

15.9: Transformations of the Plane and the Jacobian

15.3: Double Integrals in Polar Coordinates

15.4: Some Applications of Double Integrals

15.5: Surface Area

15.6: Triple Integrals

15.7: Cylindrical Coordinates

15.8: Spherical Coordinates

Chapter 16: The Vector Calculus

16.1: Vector Fields

16.2: Path Integrals

16.3: The Fundamental Theorem of Path Integrals

16.4: Green's Theorem

16.5: Div, Grad, Curl, and all that

16.6: Parametrized Surfaces

16.7: Surface Integrals

16.8: Stokes' Theorem

16.9: The Divergence Theorem

16.10: Summary




© 2009-20 Justin M. Ryan
Your use of any material found at this site is subject to this Creative Commons License.