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Students entering the School of Engineering
and
Applied Science must have a
strong foundation in pre-Calculus material
in order to succeed in our mathematics courses. Below is a
list of
topics that you must know before entering the University of
Virginia.
All instructors in the School of Engineering and Applied Science will
assume that you are familiar with these topics, and it should be
expected that these topics will not be reviewed during class. We
recommend “A Primer for Calculus” Sixth Edition by
Leonard Holder as a
good text from which to review this material. Any
pre-Calculus
mathematics text will contain this material.
Please keep in mind
that you will be expected to do all of your mathematics without
a
calculator.
1. Radical and Fractional Exponents
2. Factoring
3. The Binomial Theorem
4. Completing the Square and the Quadratic Formula
5. Linear Inequalities
6. Equations of lines
7. Properties of Logarithms
8. The Trigonometric Functions
a) Graphs of the functions
b) Basic identities
c) the difference between radian measure and angles
d) The law of cosines
e) values of the trig functions at the special angles
9. Graphs of Basic Functions such as parabolas, and rational functions
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