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MATH 263 Final Review
Course: Calculus III (MATH 263)
University: Los Angeles Pierce College
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MATH 263 FINAL REVIEW – Pearsall F19
1) True/False questions throughout course (don’t forget about Ch. 21)
2) Finding the equation of a tangent plane to a given surface (p. 755)
Sec. 14.3: #1-8
3) Gradient and Directional Derivative (look at HW questions from Sec.
14.4)
4) Optimization – Sec. 15.1: #14-27
5) Setting up a triple integral – Sec. 16.3: #40-45
6) Understanding line integrals (short cut look at Sec. 18.1: #56)
7) When a vector field is a gradient field (Sec. 18.4)
8) Green’s Thm (Sec. 18.4), Stokes’ Thm (Sec. 20.2), knowing when you
can or cannot use them (look at Sec. 18.4, Ex. 5).
9) Divergence Thm. (look at HW questions from Sec. 19.4)
10) Calculations and proofs of dot and cross products, gradient,
divergence, curl
11) Ch. 21