Honors EA1, Homework #3: Monte Carlo methods
In this assignment you will learn about cell arrays in MATLAB. You will also learn how to use the
varargin variable within a function to represent an arbitrary number of input arguments. Your goal is to
write a

Honors Engineering Calculus Assignment 5
1. Find the first order partial derivatives (i.e., @f =@x and @f =@y) of the function
f .x; y/ D
2. Given z D xye
xy
x y
:
x2 C y2
verify that zxy D zyx .
3. Verify that the function u.x; y/ D tan 1 .y=x/ satisfies

Honors Engineering Calculus Assignment 4
1. Solve for xE in the vector equation bE xE D xE aE and give a vector diagram that includes aE ,
E bE xE and xE aE . Why is it true that jbE xj
b,
E D jxE aE j?
2. In the diagram below, assume the vectors uE and v

Honors Engineering Calculus Assignment 2
1. A methane molecule, CH4 , arranges itself with the four hydrogen atoms at the vertices of
a regular tetrahedron and with the carbon atom at its center. Demonstrate that the points
.0; 0; 0/, .1; 1; 0/, .1; 0; 1/