Calculus Notes (PostScript)
These are links to PostScript files containing notes for various
topics in multivariable calculus.
I haven't written notes for all the topics covered in calculus
--- so if something isn't covered here, it's probably because it
hasn't been written up yet. Most of these are in rough form, with
some heuristic discussion and examples (but few proofs). As I write
or update my notes, I'll put copies here.
If you just want worked-out problems, check out the
calculus review sheets.
These are notes on topics in multivariable calculus. These were last
revised in 2004.
- vector.ps (4 pages, 415,641 bytes):
Vectors in 2 and 3 dimensions. (Please see
the notes on linear algebra for a more thorough discussion
of vectors and vector spaces.)
- dotprod.ps (4 pages, 308,836 bytes):
Dot products in 2 and 3 dimensions.
- deter.ps (3 pages, 89,205 bytes):
A brief introduction to 2 x 2 and 3 x 3 determinants. (Please see
the notes on linear algebra for a more thorough discussion
of determinants.)
- crossp.ps (4 pages, 206,256 bytes):
The (vector) cross product.
- lineplan.ps (6 pages, 287,665 bytes):
Lines and planes in space.
- parasurf.ps (11 pages,
1,507,995 bytes): Parametrizing surfaces, with Mathematica
examples.
- curves.ps (8 pages, 209,425 bytes):
Parametrizing curves. Velocity and acceleration vectors. Arc
length.
These notes were last revised in 2001.
- pderiv.ps (4 pages, 153,392 bytes):
Partial derivatives.
- maxmin.ps (7 pages, 756,183 bytes):
Maxima and minima for functions of two variables; solving systems
of equations using solution trees..
- lagrange.ps (6 pages, 151,189 bytes)
: Lagrange mulipliers (single constraint only); solving systems
of equations using solution trees..
- intord.ps (4 pages, 89,727 bytes):
Interchanging the order of integration.
- dintpol.ps (6 pages, 383K):
Converting double integrals to polar coordinates.
- div.ps (8 pages, 1234K):
The Divergence Theorem.
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bikenaga@marauder.millersville.edu.
Last updated:
January 22, 2006
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