MAC 2313 - Section 04 - Fall 2011
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 850: #1, 5, 6, 8-11, 13, 15, 17-20
Chapter 14 - Partial Derivativies - 14.1 - 14.4 (to linear approximations
on pg 894)
Partial Derivatives
domain, range, limits, continuity, differentiability of a function
definition
interpretation
compute numerically and algebraically
second order and higher partial derivatives (including interpretations)
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)
Review Homework for Chapter 14, pg 945: #1, 3, 5, 9,
11a, 11c, 13, 17, 21, 23, 25a, 33
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