Math 233: Elementary Linear Algebra


Here are some applets that you can play around with to help you visualize vector addition, dot products, cross products, projections, and vector spans:

2D vector addition

3D vector addition

3D vector addition of 4 vectors

2D projectsions, dot products, and cross products

3D linear combinations of vectors

3D spans of 2 vectors

Gram-Schmidt applet for two vectors

Gram-Schmidt video for two vectors

Gram-Schmidt video for three vectors

Applet for graphing surfaces (e.g. you can visually see that the intersection of the planes z=x+y and z=x-y is a line)

More applets from Paul Seeburger

More applets & videos from Mathematica

Office Hours:

All office hours will be held in my office, 326C South Hall. My office hours are at the following times, and by appointment.

Office Hours:

Unless otherwise noted, all office hours will be held in my office, 326C South Hall. My office hours are at the following times:

Mondays: 7-8pm in 338 South Hall. This is a problem session specifically for Elementary Linear Algebra students. We will be in a larger classroom in hopes of higher turnout.

Wednesdays: 3-4pm in my office (326C South Hall)

Thursdays: 3-3:30pm off-topic office hour in my office (326C South Hall). This office hour is specifically for off-topic questions. For example, if you have a question about the Riemann Hypothesis, careers in mathematics, applications of linear algebra, or how a class problem relates to deeper mathematics, this is the time and place.

Appointments: If you are not available during my regular office hours and need to schedule an appointment with me outside of class, please first check my schedule on my website. Then e-mail a list of the appointment times you are available so I can schedule a one-time extra office hour (there may be other requests, and I will likely invite the whole class). I expect that you’ve already asked or consulted someone about the problem. The Math Learning Center (see the links, below) is an excellent resource and is available more often than I am. Working with other students challenges your own understanding and can solve minor misunderstandings.

In office hours, feel free to drop by and just hang out, though it is best to come with a list of questions. Its best to use your homework to figure out what types of problems you have trouble with and to isolate which part of the problems are causing that trouble. When working on your homework, I recommend (1) writing down the problems you don't understand, (2) going back and looking for common characteristics of these problems, (3) grouping them into problem types, (4) re-attempting the problems with your newfound knowledge, and finally (5) coming to me with well-thought out questions.


Short version.
Standard version.

Webwork homework:

Most homework for this course will be done via the online webwork system. To log on, go to this site and log in with your username and password.

I suggest you do the tutorial first, to understand how to input answers into the system.


E-mailed course announcements and any course documents (e.g. solutions to the midterm exam) will be posted on mycourses.


Mathematics Learning Center

Math Department Instructional Guides

Download a TI-89 onto your computer

Applications of linear algebra

The $25,000,000,000 Eigenvector: The Linear Algebra Behind Google

Math Club

Puzzles, Games, Magic, and Math

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