College Algebra and Trigonometry
The Dugopolski Precalculus series for 1999 is technology optional. With this approach, teachers will be able to choose to offer either a strong technology-oriented course, or a course that does not make use of technology. For departments requiring both options, this text provides the advantage of flexibility. College Algebra and Trigonometry is designed for students who are pursuing further study in mathematics, but is equally appropriate for those who are not. For those students who will study additional mathematics, this text will provide the skills, understanding, and insights necessary for success in future courses. For those students who will not pursue further mathematics, the extensive emphasis on applications and modeling will demonstrate the usefulness and applicability of mathematics in the world today. Additionally, the focus on problem solving that is a hallmark of this text provides numerous opportunities for students to reason and think their way through problem situations. The mathematics presented here is interesting, useful, and worth studying. One of the author's principal goals in writing this text was to get students to feel the same way.
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Equations and Inequalities
Graphs of Relations and Functions
Exponential and Logarithmic Functions
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absolute value angle augmented matrix axis coefficients complex number coordinate cos2 cost Cramer's rule Definition degree denominator determine directrix distance domain ellipse evaluate exact value EXAMPLE exponential exponents factor Figure for Exercise foci formula fraction geometric sequence given graph in Fig graphing calculator hyperbola identity inequality intercepts intersection interval inverse inverse function length linear equations logarithms multiply negative notation nth root number line ordered pairs parabola polynomial function positive integer quadratic quotient quotient rule radians radius range rational expression rational function real numbers right triangle rule satisfy Section shown in Fig simplify sin(a sin2 Sketch the graph slope solution set Solve each problem Subtract symmetry synthetic division terminal side theorem trigonometric functions unit circle variables vector velocity vertex vertical asymptote Write Writing/Discussion y-intercept zero