
Precalculus Concepts, Preliminary Edition, 1/e
Warren W. Esty, Montana State University Published August, 1996 by Prentice Hall Engineering/Science/Mathematics
 
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The Conceptual Level of Algebra. Order Matters! Abstraction and Written Mathematics. Methods as Formulas. Methods as Identities. Methods as Theorems That Relate Equations. Variables, Patterns, and Theorems. Placeholders (Dummy Variables). Expressions, Equations, and Graphs. Graphing with Calculators. Four Ways to Solve Equations. 2. Functions and Graphs. Functions, Functions, Graphs, and Tables. Composition and Decomposition. Composition and Graphs. Relations and Inverses. 3. Fundamental Functions. Lines, Distance, and Circles. Distance in the Plane. Circles. Quadratics. Ellipses. Graphical Factoring. Advanced Factoring Methods. Word Problems. Word Problems with Constraints. 4. Powers. Powers and Polynomials. Polynomials. Polynomial Equations. CalculatorAided Factoring Techniques. Fractional Powers. Percents, Money, and Compounding. Rational Functions. Inequalities. Graphical Solutions. Absolute Values. Zeroes and Inequalities. 5. Exponential and Logarithmic Functions. Exponents and Logarithms. Base 2 and Base e. Exponential Growth. Applications. 6. Trigonometry. Geometry for Trigonometry. Trigonometric Functions. Sine. Inverse Sine. Cosine. Inverse Cosine. Tangent. Inverse Tangent. Solving Triangles. The Law of Sines. The Law of Cosines. Solving Figures. 7. Trigonometry for Calculus. Arc Length and Radians. Trigonometric Identities. List of Trigonometric Identities. Waves. 8. Other Topics. Complex Numbers. Trigonometric and Exponential Forms. Polar Coordinates. Parametric Equations. 9. Conic Sections. Conic Sections: Parabolas. Ellipses and Hyperbolas. Polar Equations of Conic Sections. Index.
