Precalculus-Algebra Class Notes
Copies of the classnotes are on the internet in PDF and Postscript
formats as given below.
Chapter R: Review.
- Section R.5: Factoring Polynomials.
PDF.
PS.
- Section R.6: Polynomial Division; Synthetic Division.
PDF.
PS.
- Section R.7: Rational Expressions.
PDF.
PS.
- Section R.8: nth Roots; Rational Exponents.
PDF.
PS.
Chapter 1: Equations and Inequalities.
- Section 1.1: Linear Equations.
PDF.
PS.
- Section 1.2: Quadratic Equations.
PDF.
PS.
- Section 1.4: Radical Equations; Equations Quadratic in Form; Factorable Equations.
PDF.
PS.
- Section 1.5: Solving Equations.
PDF.
PS.
- Section 1.6: Equations and Inequalities Involving Absolute Value.
PDF.
PS.
Chapter 2: Graphs.
- Section 2.1: Rectangular Coordinates.
PDF.
PS.
- Section 2.2: Graphs of Equations.
PDF.
PS.
- Section 2.3: Circles.
PDF.
PS.
- Section 2.4: Lines.
PDF.
PS.
- Section 2.5: Parallel and Perpendicular Lines.
PDF.
PS.
Chapter 3: Functions and Their Graphs.
- Section 3.1: Functions.
PDF.
PS.
- Section 3.2: The Graph of a Function.
PDF.
PS.
- Section 3.3: Properties of Functions.
PDF.
PS.
- Section 3.4: Library of Functions; Piecewise-defined Functions.
PDF.
PS.
- Section 3.5: Graphing Techniques: Transformations.
PDF.
PS.
Chapter 4: Polynomial and Rational Functions.
- Section 4.1: Quadratic Functions and Models.
PDF.
PS.
- Section 4.2: Polynomial Functions.
PDF.
PS.
- Section 4.3: Rational Functons I.
PDF.
PS.
- Section 4.4: Rational Functions II: Analyzing Graphs.
PDF.
PS.
- Section 4.5: Polynomial and Rational Inequalities.
PDF.
PS.
- Section 4.6: The Real Zeroes of a Polynomial Function.
PDF.
PS.
- Section 4.7: Complex Zeroes; Fundamental Theorem of Algebra.
PDF.
PS.
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