Math 226
Problems, Solutions, Handouts
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Course Outline [
html
,
pdf
]
Single Variable Caclulus Warnings [
pdf
]
Multivariable Caclulus Warnings [
pdf
]
Notes
Tables of formulae
Tables of derivatives and integrals. [
pdf
]
Properties of exponentials and logarithms. [
pdf
]
Trig identities. [
pdf
]
Vectors and Geometry in Two and Three Dimensions [
pdf
]
Quadric Surfaces [
pdf
]
Shaded images of
surfaces
in three dimensions.
A Little Logic [
pdf
]
Limits [
pdf
] (version of September 24, 2011)
Roots of Polynomials [
pdf
]
A Limit That Doesn't Exist [
pdf
]
Directional Derivatives [
pdf
]
The Chain Rule [
pdf
] (version of October 16, 2011)
Errors in Measurement [
pdf
]
Spherical Coordinates [
pdf
]
Equality of Mixed Partials [
pdf
]
Approximating a Function Near a Specified Point in One Dimension [
pdf
]
The Binomial Theorem [
pdf
]
Taylor Expansions in 2d [
pdf
] (version of October 28, 2011)
An Example with Two Lagrange Multipliers [
pdf
] (version of November 10, 2011)
A Fubini Counterexample [
pdf
]
The Definition of the Integral in One Dimension [
pdf
]
The Definition of the Integral in Two Dimensions [
pdf
]
3d Coordinate Systems [
pdf
]
Slides for Class
Properties of Vector Operations [
pdf
]
Determinants [
pdf
]
The Length of the Cross Product [
pdf
]
Notation [
pdf
]
Links
MacTutor History of Mathematics archive
The Oberwolfach traveling exhibit