Stephen Lange

8 pages – Topics: radians, degrees, revolutions, arc length, variable conversion, angular velocity, linear velocity

10 pages – Topics: Basic trig functions, quadrant angles, special angles, domain and range, co-terminal angles, reference angles

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

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 4.5 Inverse Trig   Inverse Trigonometry

12 pages – Topics: fundamental trig identities, solving trig identities, sum and difference formulas, double angle formulas, half angle formulas, solving trig equations

18 pages – Topics: oblique triangles, law of sines, law of cosines, Heron’s formula, applications of oblique triangles

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


41 pages – 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

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

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.

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

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

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