|Course Name: Honors Calculus III
||Prerequisites: Math 156, 176 or 186 or permission; credit can be
earned for only one of Math 215, 255, 285.||Credit: 4 credits. Credit is granted for only one course among Math
215, 255, and 285.
||Required Text: Calculus by Stewart, fourth edition,
||Background and Goals: The sequence Math 185-186-285-286 is the
honors introduction to calculus. It is taken by students intending to major
in mathematics, science, or engineering as well as students heading for many
other fields who want a somewhat more theoretical approach. Although much
attention is paid to concepts and solving problems, the underlying theory
and proofs of important results are also included. This sequence is not
restricted to students enrolled in the LS&A Honors Program.
||Content: Topics include vector algebra and vector functions;
analytic geometry of planes, surfaces, and solids; functions of several
variables and partial differentiation, maximum-minimum problems; line,
surface, and volume integrals and applications; vector fields and
integration; curl, divergence, and gradient; Green's Theorem and Stokes's
Theorem. Additional topics may be added at the discretion of the instructor.
(Calculus III) is a somewhat less theoretical course which covers much of the
same material.||Subsequent Courses:
(Introduction To Differential Equations), Math
286 (Honors Differential Equations) or Math
217 (Linear Algebra).