Calculus IV
Prerequisites: One of MATH 200, MATH 226, MATH 253.
MATH 221 is recommended.
Instructor
Joel Feldman
Primary Text
Secondary Texts
-
Whitman,
Community Calculus, primarily chapters 13 and 16.
-
Strang,
Calculus, primarily chapters 12 and 15.
-
James Stewart, Multivariable Calculus, seventh edition,
chapters 13 and 16. This has been the textbook for this course in the past.
Section Web Page
I will post all handouts, problem sets, final grades, etc. on the web
here.
Topics
- Curves
(§1):
Parametrized curves, velocity, acceleration,
arc length, curvature, normal and binormal vectors, tangential and
normal components of acceleration.
- Vector Fields and Line Integrals
(§2):
vector fields, conservative fields, line integrals.
- Surface integrals (§3):
surfaces, tangent planes, surface area,
surface integrals, flux integrals.
- Integral Theorems (§4):
gradient, divergence and curl, vector identities,
divergence theorem, Green's theorem, Stokes' theorem, applications.
Grading
- There will be two midterms (tentatively scheduled for Wednesday,
February 7 and Wednesday, 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.