Math Resources
These notes and handouts were written and revised throughout my career. So some of the really old stuff may date back to the 1980s (though I think I've revised most of it.).
I have not used AI in writing any of my notes or handouts. Any mistakes are 100% on me!
The notes are web pages, usually accompanied by PDF files for printing.
I appreciate hearing about mistakes, which I'll correct as soon as I can.
- Calculus
- Notes on calculus 1 - Single variable calculus: Limits, derivatives and differentiation, applications of derivatives, integrals and antiderivatives
- Notes on calculus 2 - Single variable calculus: integration techniques, applications of integration, numerical series and power series, parametric equations, polar coordinates
- Notes on calculus 3 - Multivariable calculus: Vectors and vector algebra, lines and planes, curves in the plane and in space, calculus of functions of several variables, multiple integrals, vector calculus (Green's theorem, the Divergence Theorem, Stokes' theorem)
- Math proof
- Linear algebra
- Abstract algebra
- Elementary number theory
- Topology
The Review Sheets contain practice problems with solutions. Usually, there are 3 review sheets corresponding to the three tests I gave during the term, and a final review sheet for the final exam. They are arranged by course, and I'll try to put more of them online in the future.
Note that if you're taking a course, your instructor will probably cover different topics than I did, and will teach those topics in different ways. Be sure you know what your instructor expects!
- Maxima is a GPL-ed symbolic mathematics program. It does (among other things) algebra, calculus, and graphing in 2 and 3 dimensions.
- GAP is a free system for doing computational discrete algebra. It is best known as a tool for doing computational group theory.
Contact information
Bruce Ikenaga's Home Page