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Shahrzad Jamshidi
Penn State University, Department of Mathematics
Math 231, Fall 2013
Announcements
This class is now over. I will leave up the past materials for reference, but please be aware that my notes have some typos.
Lecture Notes
Course Philosophy & Review
Three Dimensional Coordinate System
Vectors
The Dot Product
The Cross Product
Lines and Planes
Cylinders & Quadric Surfaces
Vector Functions & Space Curves
Derivatives and Integrals of Vector Functions
Arc Length & Curvature
Motion in Space
Extra Topic: Arc Length Reparametrization
Functions of Several Variables
Limits & Continuity
Partial Derivatives
Directional Derivatives & Gradients
Tangent Planes & Linear Approximations
The Chain Rule & Implicit Differentiation
Maximum & Minimum Values
Lagrange Multipliers
Homework
Homework 1 (Due Aug 29)
(
Solutions
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--Labor Day Weekend--
Homework 2 (Due Sept 5)
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Solutions
)
Homework 3 (Due Sept 10)
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Solutions
)
Homework 4 (Due Sept 12)
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Solutions
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Homework 5 (Due Sept 17)
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Solutions
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Homework 6 (Due Sept 24)
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Solutions
)
Homework 7 (Due Sept 26)
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Solutions
)
Homework 8 (Due Oct 1)
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Solutions
)
Homework 9 (Due Oct 3)
(
Solutions
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Homework 10 (Due Oct 8)
(
Solutions
)
Homework 11 (Due Oct 10)
(
Solutions
)
Homework 12 (Due Oct 15)
(
Solutions
)
--Study for Midterm--
Homework 13 (Due Oct 24)
(
Solutions
)
Homework 14 (Due Oct 29)
(
Solutions
)
Homework 15 (Due Oct 31)
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Solutions
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Homework 16 (Due Nov 5)
(
Solutions
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Homework 17
(Due Nov 7)
(
Solutions
)
Homework 18
(Due Nov 12)
(
Solutions
)
Homework 19 (Due Nov 14)
(
Solutions
)
Homework 20 (Due Nov 19)
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Solutions
)
Homework 21 (Due Nov 21)
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Solutions
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Homework 22 (Due Dec 3)
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Solutions
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Homework 23 (Due Dec 5)
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Solutions
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Homework 24 (Due Dec 10)
(
Solutions
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In-Class Worksheet
(Dec 10) (
Solutions
)
Course Calendar
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