Course Notes

• Study Math by Speaking It
• Tips on Doing Homework
• Tips on Reading your Textbook
• Show H is a Subspace: Diagram of my brain and the same with spaces.

Textbooks

• Lay: The official text we are reading.
  • Your Textbook's Website includes practice exams, review sheets, etc.
  • The Library has several copies and a copy of the Study Guide on reserve.
• Hefferon: This is an alternate free online textbook which is also very readable and has lots of exercises with solutions.
  • Website of the Text (Linear Algebra by Hefferon)
  • Local copy of the text in PDF
  • Local copy of the answer key in PDF

Videos

• None yet.

Computer Demos

• A linear algebra transformation visualizer: Scribble and Transform
• A linear algebra transformation visualizer with determinant/area: Transform and Determinant
• The area of a parellologram: Math Open Reference Applet
• Non-orientable surfaces: Inside a Klein Bottle
• Non-orientable surfaces: Animated Mobius Band
• Sounds as sums of trig functions: Fourier: Making Waves Applet (scroll to find it)
• Sounds as sums of trig functions: Falstad Fourier Applet
• Sounds as sums of trig functions: MP3 Stream Bitrate Examples
• Eigenvectors and eigenvalues: Eigenvector applet.

Math Software

• Online Matrix Calculator - Easy to use, checks your homework for you.
• Sage - Free, sophisticated math software for indepth exploration.
  • CU Sage Server - please sign up for an account asap.
  • Ask Sage - question and answer service from the hive mind
  • Sage's Quick Reference Sheets to keep by your side.
• Campus Computer Labs - Use Sage (via link above), Latex, Maple, Mathematica, Matlab etc.
  • Search by software - e.g. tex, mathematica
• Latex - the only reasonable way to type math.
  • Introduction to Latex - installing and how to type.
  • Detexify - To find a symbol you want to know.
  • writelatex.com and sharelatex.com- No need to install software or visit the lab - typeset online!
  • Templates: tex file and expected output.
  • Tex Stackexchange - question and answer service from the hive mind
• Wolfram Alpha - Simple math computation without learning a syntax.
• CalcPlot3D - Very extensive graphing/visualisation tool.
• MVT from Applied Math - Another great graphing/visualisation tool.

Internet Study Help

Note: the internet can in fact do your homework for you in many cases. So can your friends, your mother, and your tutor. That's not the point. Study (and drink) responsibly.

• A list of linear algebra demos I compiled some years ago.
• Unit Circle
• Dr. Math - Question answer service (by 'Math Doctors'). Use the search box first; there's a 99% chance someone has asked your question before.
• Mathematics at StackExchange - Question answer service (by the 'hive mind'). Use the search box first; there's a 98% chance someone has asked your question before.
• Math Forum Digital Library - Catalogue of web resources.
• Linear Algebra Toolkit - If you have trouble with basic computations, this is an online tutor.

CU Resources

Note: Tutors may mistakenly believe it is acceptable to do your homework for you. Please educate them.

• The Undergraduate Mathematics Resource Center is in Math 175 (first floor of math building), and is open, M-Th 9-5 and F 9-2. Although tutors no longer serve this course, an area has been set up where you can meet your peers to work together.
• A tutor list is available.

Review Materials

• Some example midterms and finals I've collected - Note: these are written by other professors; your tests will differ. They are nevertheless helpful.