Advanced Calculus II
Prerequisites: Math 200. Math 221 is recommended.
James Stewart, Multivariable Calculus, fourth edition.
I will post all handouts, problem sets, final grades, etc. on the web
curves, velocity, acceleration, arc length.
Exclude curvature, normal
and binormal vectors, tangential and normal components of acceleration
and Kepler's laws.
- Vector Fields and Line Integrals
(§17.1, 17.2, 17.3):
vector fields, field lines (not covered well
in the text), conservative fields, line integrals.
- Surface integrals (§17.6, 17.7):
surfaces, tangent planes (also review the
subsection of §15.4 entitled "Tangent Planes" and the subsection
of §15.6 entitled "Tangent Planes to Level Surfaces"),
flux integrals, surface area.
- Integral Theorems (§17.5, 17.9, 17.4, 17.8):
gradient, divergence and curl (also review the
subsection of §15.6 entitled "Significance of the Gradient Vector"),
divergence theorem, Green's theorem, Stokes' theorem, applications.
- There will be two midterms (tentatively scheduled for Monday, February 10 and Friday, March 14) accounting for about 40% of the final mark.
- There will be weekly problem sets accounting for about 5% of the final mark.
- The final exam will account for about 55% of the final mark.
- Grades will probably be scaled.