MAC 2313 - Section 04 - Spring 2008
Related Pages: Course Home Page | Syllabus | Homework
As stated in class, you are allowed to bring to the test one 8.5x11 inch
page, written on both sides. You can write whatever you want on this page:
eg. definitions, formulas, examples, etc. Calculators will be allowed for
the test.
Chapter 13 - Vector Functions
limit of a vector function
derivatives and integrals of vector functions
position, velocity and acceleration vector functions
sketch a vector function/space curve, its velocity and acceleration
arc length
reparameterize a curve with respect to arc length
curvature and what it means
tangent, normal, bionormal vectors
tangential and normal components of acceleration
applications: projectiles, equations of normal and osculating planes,
equation of tangent line
Review Homework for Chapter 13, pg 881: #1, 5, 6, 8-11, 13, 15, 17-20
Chapter 14: Sections 14.1-14.5 (to pg 936 on chain rule) - Partial Derivativies and their Applications
Partial Derivatives
definition
interpretation
compute numerically and algebraically
second order and higher partial derivatives (including interpretations)
chain rule
domain, range, limits, continuity, differentiability of a function
Applications
level curves
Laplace's equation, wave equation
equation of tangent plane: using partial derivatives
linear approximation to a surface (local linearity/tangent plane approximation)
differential
Review Homework for Chapter 14 (14.1-14.5), pg 975: #1, 3, 5, 9,
11, 17, 21, 25, 33-41 odds
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