Precalculus Manual

This page provides the Precalculus manual for the classroom - all chapters of the manual are provide as free downloads. This section represents a complete high school course for Precalculus.

 
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Cover
Student Manual Cover Pages 
(PreCalc Manual Cover.pdf)
These pages should be included at the beginning of the Student Manual.
Unit 1
Radian and Degree Measurement 
(PreCalc Unit 1.pdf)
8 pages - Topics: radians, degrees, revolutions, arc length, variable conversion, angular velocity, linear velocity
Unit 2
The Trigonometric Functions 
(PreCalc Unit 2.pdf)
10 pages - Topics: Basic trig functions, quadrant angles, special angles, domain and range, co-terminal angles, reference angles
Unit 3
Right Angle Trigonometry
(PreCalc Unit 3.pdf)
14 pages - Topics: unit circle, calculator use, errors, solving right triangles, multi-step problems, real-life applications, surveying, angles of elevation and depression, bearing, heading
Unit 4
Graphs of Trigonometric Functions 
(PreCalc Unit 4.pdf)
15 pages - Topics: sinusoids, amplitude, period, translations, phase shift, vertical shift, critical points, determining an equation from a graph, trig models, harmonic motion, graph of other trig functions
Unit 5
Analytical Trigonometry       
(PreCalc Unit 5.pdf)
12 pages - Topics: fundamental trig identities, solving trig identities, sum and difference formulas, double angle formulas, half angle formulas, solving trig equations
Unit 6
Solving Oblique Triangles     
(PreCalc Unit 6.pdf)
18 pages - Topics: oblique triangles, law of sines, law of cosines, Heron's formula, applications of oblique triangles
Unit 7
Graphs and Graphing Utilities 
(PreCalc Unit 7.pdf)
28 pages - Topics: graphing equations, symmetry, lines in the plane, functions, mappings, domain and range, piecewise functions, translation of graphs, composition of functions, inverse functions
Unit 8
Polynomial and Rational Functions 
(PreCalc Unit 8.pdf)
41pages - Topics: quadratic functions, standard form, general form, roots of polynomial equations, linear functions, quadratic equation, cubic functions, factor theorem, roots of polynomials, synthetic division, rational zero test, imaginary roots, rational functions, vertical asymptotes, oblique asymptotes, partial fraction decomposition
Unit 9
Exponentials and Logarithmic Functions 
(PreCalc Unit 9.pdf)
22 pages - Topics: exponential equations, common logarithms, natural logarithms, e, logarithm rules, logarithmic equations, exponential growth and decay, compound interest, continuous compounding, exponential curve fitting, using the calculator for financial operations
Unit 10
Parametric and Polar Equations
 
(PreCalc Unit 10.pdf)
19 pages - Topics: plane curves, parametric curve sketching, conversion of parametric form to rectangular form, projectile motion, polar coordinates, graphs of polar equations, classifying polar graphs.
Unit 11
Additional Topics in Trigonometry 
(PreCalc Unit 11.pdf)
18 pages - Topics: vectors and scalars, vector operations, unit vectors, linear combination form of vectors, force problems, dot product, angle between vectors, complex numbers, trig form of a complex number, multiplication and division of complex numbers, powers and roots of complex numbers, Demoive's Theorem
Unit 12
Topics in Analytic Geometry 
(PreCalc Unit 12.pdf) 
18 pages - Topics: inclination of a line, angle between lines, distance between a point and a line, conic sections, circles, parabolas, ellipses, hyperbolas, degenerate conics, determining a conic from its general equations

 

 
 
Purchase the Answer Key!
Only $99.95
(for download) 
  Purchase options.
Full Manual in printed form.
Only $39.95
(plus $6 shipping)
  Purchase options.
Answer Key in printed form.
Only $119.95
(plus $6 shipping)
  Purchase options.

 

We provide discounts for ordering certain products together and we provide other purchasing options.  Click here for more information about these options.
 
Click HERE to access the downloads for a previous purchase 
(must be within 7 days of original purchase)