Precalculus

2004-2005 Rough Plan

Conics

• Start up problems (perhaps only a few at a time?
• § 1.8 Coordinate geometry, distance formula & circles, introduction to symmetry
• § 9.2 Ellipses, including derivation
• § 9.3 Hyperbolas
• § 9.4 Transformations for just ellipses & hyperbolas
• § 9.1 Parabolas with focus/directrix

(Show focus/directrix method for ellipse & hyperbola, as well?)

• § 9.4 Shifted parabolas

• § 2.6 Parabolas with vertex form

Test ( quizzes, or a test, at least every other week)

Functions

• § 2.1 What’s a function
• § 2.2 Graphs of functions
• §§ 3.1 – 3.3 Polynomials, including factor/rational roots theorems

Test

Transformations

• §§ 2.5, 2.7, 2.8, 2.9 (and supplements) Shift/stretch, composites, inverses

Test

Complex Polynomials

• § 3.4 Complex numbers
• § 3.5 Complex zeros and the Fundamental Theorem
• § 3.6 Rational functions, including vertical, horizontal, & slant asymptotes

Test

Exponents & Logarithms