In this final review lesson, the instructor quickly goes over the remaining topics for the exam, including double and triple integrals, vector calculus in the plane and in space, and coordinate systems like rectangular, cylindrical, and spherical. The lesson also covers techniques for setting up bounds and evaluating integrals using substitutions, basic trigonometry, and formulas. Applications of integrals, such as finding the area, volume, and mass of a region, as well as moments of inertia and gravitation attraction in space, are briefly mentioned.
A continuation of the final exam review for the course.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 21, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.