# Worksheet 13 - 2006 Due Thursday 20th April 9pm
This worksheet gives you some more practice at problem solving using mathematica. PROBLEM 1. Make a 3-d plot of the function Sin(xy) for x [0, 3] and y [0, 3]. PROBLEM 2. Numerically find the roots to
Worksheet #7 - PHY102 (Spr. 2006) Collisions
Due Thursday 9pm March 2th, 2006 In this worksheet, we will return to solving equations and solving differential equations. Often there are multiple ways of accomplishing something in M athematica. Usually
Worksheet #8 - PHY102
Motion in a potential
Although you first learn about Newton's second law F = ma and the dynamics that results from it, much of the discussion in the more advanced physics texts is in terms of "potentials" V (r). A particle under
Worksheet #5 - PHY102 (Spr. 2006)
Solving Equations and Differential Equations II
Due Thursday February 16th
Last week you learned about the following functions which are among the most important in Mathematica: Solve - solves polynomial equations a
Worksheet #10 - PHY102 (Spr. 2006)
The wave and diffusion equations
Due Thursday March 30th In this worksheet we will study two partial differential equations that are very important in physics. Many wave motions can be described by the linear wave e
Worksheet #1 - PHY102 (Spr. 2006)
This worksheet introduces you to the use of Mathematica. Mathematica is a programming language developed by Stephen Wolfram which has many applications,e.g., solving algebraic equations, differentiation, integration,
Review and Examples (Spr. 2006)
Due Thursday 6th April These are examples of questions with the degree of difficulty that you will encounter in the lab-exam. Make sure that you can do them! Use Mathematica to solve all parts of the problems Vectors P
Worksheet #6 - PHY102 (Spr. 2006)
Generating and plotting lists of numbers, "Do" loops and animation - due Thursday February 23rd
We often ask a computer to do an operation many times. There are a large number of ways of doing these "iterative"tasks
Worksheet #9 - PHY102 (Spr. 2006)
Due Thursday March 23rd
More on "Do loops", Illustrating Chaos
Tools that you need You will need the following this week (look them up in the online help): Do (you can also use Table or NestList) You will also need
Worksheet #3 - PHY102 (Spr. 2006)
Matrices and linear algebra
Last week we did vector operations with lists. This week we introduce you to matrices, their representation using lists and to some of the matrix operations which Mathematica is able to do
Worksheet #2 - PHY102 (Spr. 2006)
Formats and List operations (Vectors)
Formating From the toolbar do the following: "format" followed by "style", the dropdown menu offers you lots of options. "input" is the default, and is the "format" in which you
Worksheet #4 - PHY102 (Spr. 2006)
Solving equations
Solving equations in Mathematica Look up how to solve algebraic equations exactly(Solve) and numerically(NSolve). If you have a transcendental equation (e.b. x = sin(x) you need to use "FindRoot". I
Worksheet #12 - PHY102 (Spr. 2006)
DC and AC circuits
Due Thursday April 13th 9pm In earlier worksheets we have studied the behavior of damped, massspring systems. We also took a brief look at the linear and non-linear pendulum problems. The equation