**Multivariable Calculus: Math 202 , Spring 2000**
**Syllabus (pdf)**

**hypercube**

**hypercube in mathematica
**You
can create your own view of the hypercube by copying this mathematica file.
The pictures have no perspective. Rather, they show the image
of the hypercube under your choice of a linear map from R^4 to R^2,
which preserves the y and z axes.

**hypercube
movie**

(Mac only) Download "Geometry games".

**saddle**

**Note 1 **Quadratic functions,
Taylor approximation, Critical points, Second derivative test, Least squares
**Pictures for Note 1**

**Exam 1 review, **Exam
1 solutions

**Note 2 **Line
integrals in the plane, vector fields, work integrals, conservative vector
fields and independence of path

Solutions to exercises in Note 2
Extra exercises for Note 2
Pictures: Vector Fields with no flow and
no flux around closed curves

**Note 3**
Double integrals, Area, Average, Center of Mass

Solutions to exercises in Note 3

**Note 4**
Gaussian Integral, Factorial function, Beta integral, Volumes of Spheres

Solutions to exercises in Note 4

**Note 5**
Green's Theorem, Two-dimensional Curl, Fundamental Theorem of Calculus,
Divergence of a Vector field, Cauchy-Riemann equations, Most Interesting
Vector Field, Jacobian,

Linear mappings, Regions bounded by graphs.

Solutions to exercises in Note 5
Extra
exercises for Notes 3,4,5

Exam 2 solutions

**Note 6**
Line integrals in three dimensions, three dimensional curl, parametrized
surfaces, surface integrals, flux integrals, Stokes theorem, triple integrals,
divergence theorem

Extra Problems for Note 6

**Final Exam (with solutions)**