## courses > physics 221-223

### physics 221

To use Spotter, click on one of the following links:

The textbook is Mechanics.

Lab manual: download

codes for comments on lab writeups

I'm the author of the book. I do not receive any royalty from sales of the book. You can choose to download the book for free and print it yourself, but you typically don't save any significant amount of money that way, and what you get is a big, thick, unbound stack of single-sided output.

syllabus for Physics 221, fall 2018

homework printout### practice exams

The coverage of topics on these practice exams will not necessarily match up with what is actually covered on exam n in a given semester. See the syllabus for the actual list of topics for each exam.

Practice exam 1, Mechanics ch. 0-3

Practice exam 2, Mechanics ch. 0-9

Practice exam 3, Mechanics ch. 0-14

### physics 223

To use Spotter, click on one of the following links:

The textbooks are Simple Nature and Relativity Simply Explained.

Lab manual: download

codes for comments on lab writeups

I'm the author of the book. I do not receive any royalty from sales of the book. You can choose to download the book for free and print it yourself, but you typically don't save any significant amount of money that way, and what you get is a big, thick, unbound stack of single-sided output.

syllabus for Physics 223, spring 2019

homework printout### practice exams

The coverage of topics on these practice exams will not necessarily match up with what is actually covered on exam n in a given semester. See the syllabus for the actual list of topics for each exam.

Practice exam 1, ch. 5 and sec. 6.1

Practice exam 2, through sec. 12.4

Practice exam 3, through sec. 11.6

Practice exam 4, through sec. 13.2

### physics 222

To use Spotter, click on one of the following links:

Lab manual: download

I'm the author of the book. I do not receive any royalty from sales of the book. You can choose to download the book for free and print it yourself, but you typically don't save any significant amount of money that way, and what you get is a big, thick, unbound stack of single-sided output.

syllabus for Physics 222, fall 2007

### miscellany

To calculate a standard deviation, click here.

Browser-based app demonstrating entropy

data analysis for exercise 12E in Optics

### computer software for doing integrals

Usually the best quick and dirty way to do an integral is by using the web interface at integrals.com. However, integrals.com only does indefinite integrals, and there are cases where a definite integral is doable, but the corresponding indefinite integral is impossible to calculate, so you can't just evaluate the definite integral by plugging in the upper and lower limits of integration into the indefinite integral. As far as I know, the best open-source software for doing integrals is maxima. It runs on Linux, MacoS X, and Windows. If you want to try it out without installing it on your computer, you can use it through a web interface.

#### Examples of using Maxima to do integrals

the indefinite integral of cx^2: integrate(c*x^2,x); (The asterisk indicates notation. The second argument to the function tells the software what variable you want to integrate with respect to; it plays the same role as the Leibniz notation dx inside an integral in normal human calculus notation. Since c isn't the variable you're integrating with respect to, it's assumed to be a constant.) the definite integral of e^-x, from 0 to infinity: integrate(exp(-x),x,0,inf); (Note that the Exp function has to be capitalized; the same is true for Sin, Cos, etc. INF stands for infinity.) the definite integral of e^(-x^2), from 0 to infinity: integrate(exp(-x^2),x,0,inf); (Note that this integral can't be evaluated as an indefinite integral in terms of elementary functions like exponentials, trig functions, etc.) To exit maxima when you're done: quit();