# Courses That I Teach

## Scheduled for Fall 2020, starting August 24

Math 331: Foundations of Analysis (See the tentative syllabus and course web page.)

Textbook: Foundations of Analysis, second edition, by Belding and Mitchell,

plus some extra material on metric spaces.

Math 204: Linear Algebra (See the tentative syllabus and course web page.)

Free Textbook PDF: Linear Algebra, Fourth Edition,

See https://hefferon.net/linearalgebra for the textbook web site.

## Previous Courses:

Here is a list of **courses I have taught**,
including syllabi from many past terms.

And here is a complete list
of all the **Honors projects and Independent Studies**

that I have supervised over my years at Hobart and William Smith Colleges.

# Free On-Line Java Text

The first programming course at Hobart and William Smith Colleges
covers the Java programming language. Since we started teaching Java
in 1996, the textbook for the course has been various versions
of a free on-line Java textbook that I wrote for the course.
The most recent version is *Introduction to Programming Using Java, Version 8.1*.
It requires Java 8 or higher and JavaFX for graphical programming.
It is available at

http://math.hws.edu/javanotes/

Older versions of the book are also available; see the Preface to the 8th edition for links.

The textbook is an introduction to programming and also an introduction to Java directed towards people who do not have any background in programming. You can use it on-line or download a copy for use on your own computer. PDF and print version are also available. Links can be found at the bottoms of the book's web page.

# Free Computer Graphics Textbook

An introductory computer graphics textbook, available for use on-line. There are also links on the front page for downloading the web-site version or a PDF version. This book was used in my Computer Graphics course in Fall 2015 and in Fall 2017.

The prerequisite for the book is two semesters of computer programming in Java, C/C++, or JavaScript, including a basic knowledge of data structures, objects, and object-oriented programming. It covers core concepts from 2D graphics in Java, JavaScript, and SVG; 3D graphics with old-fashioned OpenGL 1.1; the three.js JavaScript library for 3D Web graphics; and WebGL, the modern version of OpenGL for the Web. There is an appendix with short introductions to the essential features of Java, C, and JavaScript. See the Preface for more information. The book is available at

http://math.hws.edu/graphicsbook

# Some Web Apps, written in JavaScript

For many years, I wrote small web applications as Java applets. However, applets are no longer supported in the Chrome web browser and are only poorly supported, if at all, in other browsers. A more modern alternative to Java Applets is to write web applications in JavaScript, which is well-supported in all modern browsers. (Note that Java and JavaScript are completely different languages, in spite of the names.) One of my projects for my sabbatical leave in Spring 2016 is to learn JavaScript better and to write some JavaScript Web apps. So far, I have ported some of my examples from Java to JavaScript, and added a few new apps that were written originally in JavaScript. The work that I have done so far is available on this page:

Here are direct links to some of the more interesting examples:

- Genetic Algorithms Demo: Demonstrates the Genetic Algorithm by showing how some simple simulated organisms evolve over a series of generations.
- Mandelbrot Viewer: Explore the famous Mandelbrot set, and make some amazing pictures!
- Pentominos Puzzle Solver: Solves pentominos puzzles, which involve placing twelve pieces of various shapes on a board. Fun to watch.
- Wallpaper Groups: Draw symmetric patterns in the plane, where the symmetry is given by one of the seventeen wallpaper groups.
- xSortLab: Learn about five sorting algorithms and compare their run times.
- Turing Machine Simulation: Create and run simulated Turing machines.

The Mandelbrot set, in particular, is amazing. There is a large collection of images that are visualizations of pieces of that set. Click on any of the small images on that page to load that example into the Mandelbrot Viewer, where you can see a larger version of the image and explore it further.

# Free CS Theory Textbook

CPSC 229: *Foundations of Computer Science* is an
introductory course in theoretical computer science. It is a required
course in the Computer Science major. For several years, the textbook
in this course has been a set of notes written by Professors Carol
Critchlow and me. This set of notes is now available for reading
on-line or for downloading, at no charge. For more information and
links to the PDF version of the book, see:

http://math.hws.edu/FoundationsOfComputation

(A printed textbook can be ordered for the cost of reproduction from lulu.com.)

# The Most Complex Machine

My introductory computer science textbook, The Most Complex Machine, was published in July, 1995. The book surveys most of the major areas of computer science, and is suitable as a textbook for a first course in computer science. It is also suitable for self-study. A review of in the April '96 issue of CHOICE magazine says that it is "Strongly recommended as a foundation for guided self-study for gifted high-school students, as well as non-computing majors." You can read more about it here. A set of applets and labs for use with the text is freely available on-line.

This book is now quite old, and I really don't understand why the publisher has kept it in print. However, it is not so out-of-date as most computer books published in the 1990s. The applets, written in an old version of Java, are not as attractive as they could be, but some of them are still useful. In particular:

- xSortLab -- A visual demonstration of several sorting algorithms.
- xTuringMachine -- A Turing Machine simulator.
- xLogicCircuits -- Create and run simulated circuits made from AND, OR, and NOT gates.
- xComputer -- Simulates a complete, simple computer that is programmable in assembly language.

The source code for the applets can be downloaded from this page. You can also get .jar files for running the applets as stand-alone programs.

Unfortunately, Java applets have themselves become old-fashioned and unusable in most web browsers. I have written more modern web app versions of several of the applets. See xSortLab, xTuringMachine, xComputer, and xTurtle, .

**"The Innocent Eye Test" by Mark Tansey (1981)**