Resources
Below are links to various resources for the course.
Documents
FERPA waiver
Background survey
Notation
Axioms for the real numbers
Lecture notes
Fibonacci sequence
Fibonacci numbers
Golden ratio
Vi Hart - Fibonacci sequence in plants - part I, part II,
part III
Fourier series
Fourier series (wiki)
Fourier series (animated)
Fourier series (fancy version)
Wolfram Alpha
Wolfram Alpha is an online answer engine that is very useful for mathematical problems. It can differentiate and integrate, plot functions and much more.
Maple
Like Wolfram Alpha, Maple can be used for checking differentiation, plotting functions or visualizing surfaces in three-space. At Dartmouth there is licensed software available for students. If you would like to install Maple you can follow the instructions here: Below is a Quickstart Guide which lists various things you can do with Maple giving both the mathematical expression familiar to you as well as the syntactically correct command in Maple. To download the two worksheets (on integration and graphing) save the two files.
- Sample Integration Commands (save this file; don't just click)
- Sample Graphing Commands (save this file; don't just click)
MATLAB
MATLAB, a contraction of "matrix laboratory", is a computing environment and programming language developed by MathWorks. It can be used in a similar fashion as Maple. Dartmouth has a site license for MATLAB. You can download it here:
