Just-in-Time Algebra and Trigonometry for Students of Calculus,

Guntram Mueller, Ronald I. Brent (Autoren)

Buch | Softcover

206 Seiten

2000 | 2nd edition
Pearson (Verlag)
9780201669749 (ISBN)

Infos

Strong Algebra and Trig skills are crucial to success in calculus. This text is designed to bolster these skills while students study calculus. As students make their way through the calculus course, this supplemental text shows them the relevant algebra or trigonometry topics and points out potential problem spots. The table of contents is organized so that the algebra and trigonometry topics are arranged in the order in which they are needed for calculus.

Inhalt

1. Numbers and Their Disguises.


Brackets, multiplying and dividing fractions, adding and subtracting fractions, exponents, roots, percent, scientific notation, calculators, rounding, intervals.



2. Completing the Square.


Completing the square in one and two variables.



3. Solving Equations.


Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property.



4. Functions and Their Graphs.


Introduction, equations of lines, power functions, shifting graphs, intersection of curves.



5. Changing the Form of a Function.


Factoring, canceling, long division, rationalizing, extracting a factor from under a radical.



6. Simplifying Algebraic Expressions.


Working with difference quotients and rational functions, canceling common factors, rationalizing expressions.



7. Cyclic Phenomena: The Six Basic Trigonometric Functions.


Angles, definitions of the six trigonometric functions, special angles, graphs involving sin x and cos x.



8. Composition and Decomposition of Functions.


Composite functions, inner, outer, and outermost functions, decomposing composite functions.



9. Equations of Degree 1 Revisited.


Solving linear equations involving derivatives.



10. Word Problems.


Algebraic word problems; the geometry of rectangles, circles and spheres, trigonometric word problems, right angle triangles, the law of sines and the law of cosines.



11. Trigonometric Identities.


Rewriting trigonometric expressions using identities.



Appendices.


A. Exponential Functions.



B. Inverse Functions.



C. Logarithmic Functions.



D. The Binomial Theorem.



E. Derivation of the Quadratic Formula.



Answers to Exercises.


Index.

Produkt-Details

• Erscheint lt. Verlag: 20.10.2000
• Sprache: englisch
• Maße: 220 x 255 mm
• Gewicht: 439 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-13: 9780201669749 / 9780201669749
• Zustand: Neuware