Dr. Nestler's Math 11 page - Fall 2009, section 4330, TTh 7:35-10:00pm in MC 70

Course information

        Syllabus (6 pages)

Resources

        Office hours:  MW 3:45-4:45pm and T 3:30-4:30pm in MC 61, plus Math 7 workshop Th 3:30-4:30pm in Math Lab

        Math Lab

        Jeff Miller's History of calculus symbols including "curly d" partial derivative operator and gradient symbol

        Some definitions and theorems from Calculus 1 and 2 (PDF)

Documents in PDF form (1 page unless noted):  Print and bring them to class.

        Thursday, September 10  Quadric surfaces (3 pages)

        Thursday, September 10 Quadric surfaces: pictures (2 pages) from Larson, Hostetler, Edwards "Calculus" 8th Ed. (2006) Houghton Mifflin Co.

        Tuesday, September 15  Vector-valued functions and space curves (3 pages) [NEW]

        Thursday, September 24  Second lecture on curvature (3 pages) [NEW]

        Thursday, September 24  Normal vectors and acceleration (3 pages) [NEW]

        Tuesday, September 29  Level curves from Larson, Hostetler, Edwards "Calculus" 8th Ed. (2006) Houghton Mifflin Co.

        Thursday, October 8  Differentiable functions (Part 1) (3 pages)

        Tuesday, October 13  Differentiable functions (Part 2) (2 pages)

        Tuesday, October 13   Differentials and tangent plane

        Tuesday, October 13   Implicit differentiation

        Tuesday, November 3  Double integrals in polar coordinates

        Thursday, November 5  Inner partition of a solid; definition of triple integral

        Thursday, November 5  Additional triple integral exercises

        Tuesday, November 17  Vector field examples

        Thursday, December 10  Proof of a special case of the Stokes Theorem

        Thursday, December 10  Theorem summary

Optional reading (PDF documents)

        Direction of normal vector of a smooth plane curve

        Proof of Clairaut's theorem (2 pages)

        A differentiable function with discontinuous first partials

        A differentiable function with discontinuous, unequal second partials (2 pages)

        Two directional derivative examples

        Partial proof of second derivative test

A triple integral in real life