Background and Goals: The sequence MATH 185-186-285-286 is an introduction to the calculus at the Honors level. 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 LSA 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' Theorem. Additional topics may be added at the discretion of the instructor.

Alternatives: MATH 215 (Calculus III) is a less theoretical course which covers the same material. MATH 255 (Applied Honors Calc. III) is an applications-oriented honors course which covers much of the same material.

Subsequent Courses: MATH 216 (Intro. To Differential Equations), MATH 286 (Honors Differential Equations) or MATH 217 (Linear Algebra).