“If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries.”
--- Karl Friedrich Gauss
Prerequisite Knowledge:
In mathematics, analysis is generally a vertical growth area
– i.e. prerequisite knowledge is essential to graduate to the next level
of study. To help ensure that students are ready, many math courses have
prerequisite course requirements. However, this can be misunderstood to
mean that completion of the course is the requirement. In fact, the
corresponding requisite knowledge is much more important than simply having
completed the course.
Derived from many years in the study of mathematics, the following
handouts represent a minimum set of basic information required to succeed in
the study of elementary applied mathematics. Responsible students should know
these basic things and should know how to apply them properly.
Handouts:
- 1.0 -
DOC -
PDF -
JPG -
domain of elementary functions
- 2.0 -
DOC -
PDF -
JPG -
fundamental formulas for integration
- 3.0 -
DOC -
PDF -
JPG -
basic formulas, definitions, equations
- 4.0 -
DOC -
PDF -
JPG -
fundamental derivatives
- 5.1 -
DOC -
PDF -
JPG -
trig identities
- 5.2 -
DOC -
PDF -
JPG -
more basic trig
- 6.0 -
DOC -
PDF -
JPG -
power series for elementary functions
- 7.0 -
DOC -
PDF -
JPG -
limits involving infinity, etc.
[Upon losing the use of his right eye] “Now I will have less distraction.”
--- Leonhard Euler