Week #5: Gradients & Level Sets in 2D  
September 20-24
Computer Lab this Tuesday

Mon Lect: Example of tangent plane, directional derivative, and approximate change along the tangent plane.  Error propogation.  Contour Graphs of Linear Functions.   Start on contour graphs of non-linear functions

Sect.4.1, Ex. 1(b), (c), 2, 3, 4  Due ...

Tue Disc: Computer Lab 1245 SC -Contour Tangents

Submit to Bb6 in the form "JonesSLab3.nb"

Wed Lect:  Contour graphs and level curves of non-linear functions.  The role of the gradient.

Sect. 4.2, Ex. 1(c), 2(c), 3, 4.   Due ...

Thu Disc:  emphasize various meanings and uses of the gradient.

Fri Lect:  Implicit function theorems.   Smoothness of functions of several variables.  Implicit function theorem in 3 variables:  implicitly defined smooth surfaces and their tangent planes.

Sect. 4.2, Ex. 5(a), (b), (c), 6, 7  Sect. 4.5, Ex. 1, 2.  Due ...

Created by Mathematica  (October 2, 2004)