My Resources
- Study Math by Speaking It
- Tips on Doing Homework
- Tips on Reading your Textbook
- Some example midterms and finals I've collected - Note: these are written by other professors; your tests will differ. They are nevertheless helpful.
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.
Software
- Online Matrix Calculator - Easy to use, checks your homework for you.
- Campus Computer Labs - Have Maple, Mathematica, Matlab, etc.
- Sage - Free, sophisticated math software for indepth exploration.
- Wolfram Alpha - Ask it questions without learning a syntax.
Online Resources
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.- Here's a list of linear algebra demos I compiled some years ago.
- Here's a 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.
- Wolfram Alpha - Calculator of divine proportions.
- Math Forum Digital Library - Catalogue of web resources.
- CalcPlot3D - Very extensive graphing/visualisation tool.
- MVT from Applied Math - Another great graphing/visualisation tool.
- 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
- See this directory for some review materials; read the exams page.
Handouts from Class
Links from Computer Demos or Handouts in Class or related to class
- 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
- Show H is a Subspace: Diagram of my brainand with spaces.
- Eigenvectors and eigenvalues: Eigenvector applet.