College algebra and trigonometry /
Mark Dugopolski.
- 2nd edition
- Reading, Mass. : Addison-Wesley, c1996.
- (various pagings) : ill. (some col.) ; 24 cm.
Prerequisites Real numbers and their properties Integral exponents Rational exponents and radicals
Chapter 1. Equations and inequalities Linear equations Applications Complex numbers
Chapter 2. Functions and graphs The Cartesian coordinate system Functions Graphs of relations and functions
Chapter 3. Polynomial and rational functions Linear functions Quadratic functions Zeros of polynomial functions
Chapter 4. Exponential and logarithmic functions Exponential functions Logarithmic functions Properties of logarithms
Chapter 5. The trigonometric functions Angels and their ,measurements The sine and cosine functions The graphs of sine and cosine functions
Chapter 6. Trigonometric identities and conditional equations Basic equations Verifying identities Sum and difference identities
Chapter 7. Applications of trigonometry The law of sines The law of cosines Vectors
Chapter 8. Systems of equations and inequalities Systems of linear equations in two variables Systems of linear equations in three variables Nonlinear systems of equations
Chapter 9. Matrices and determinants Solving linear systems using matrices Operations with matrices Multiplication with matrices
Chapter 10. The conic section The conic Parabola The ellipse and the circle The hyperbola
Chapter 11. Sequences series and probability Sequences Series Geometric sequences and series Counting and permutations