Elementary Functions and Analytic Geometry

¿PrefaceChapter 1 Functions and Graphs 1. Introduction 2. Real Numbers 3. Coordinates on the Line and Plane 4. Functions 5. Construction of Functions TestsChapter 2 Linear and Quadratic Functions 1. Linear Functions 2. Quadratic Functions 3. Some Applications 4. Tips on Graphing TestsChapter 3 Polynomial Functions 1. Algebra of Polynomials 2. Graphs of Polynomials 3. Zeros and Roots 4. Zeros of Higher Degree Polynomials 5. Graphs of Factored Polynomials TestsChapter 4 Rational Functions 1. Basic Properties 2. Algebraic Operations 3. Graphs of Rational Functions 4. Division with Remainder 5. Partial Fractions TestsChapter 5 Exponential and Logarithm Functions 1. Review of Exponents 2. Exponential Functions 3. Logarithm Functions 4. Accuracy and Tables [Optional] 5. Log Tables [Optional] 6. Computations with Logarithms [Optional] 7. Power Functions TestsChapter 6 Trigonometric Functions 1. Introduction 2. Distances and Angles 3. Sine and Cosine 4. Other Trigonometric Functions 5. Graphs of Sine and Cosine 6. Graphs of the Other Functions TestsChapter 7 Identities and Inverse Functions 1. Identities 2. Further Identities 3. Inverse Functions 4. Trigonometric Equations TestsChapter 8 Trigonometry 1. Right Triangles 2. Laws of Cosines and Sines 3. Oblique Triangles [Optional] TestsChapter 9 Vectors 1. Vector Algebra 2. Lines 3. Length and Inner Product 4. Normal Form TestsChapter 10 Analytic Geometry 1. Translation of Axes 2. The Circle 3. Tangents and Loci 4. Polar Coordinates 5. Conics: The Parabola 6. The Ellipse 7. The Hyperbola 8. Rotation of Axes [Optional] 9. Additional Exercises on Conics [Optional] TestsChapter 11 Solid Analytic Geometry 1. Coordinates and Vectors 2. Lines and Planes 5. Linear Systems and Intersections 4. Polynomials in Several Variables 5. Quadric Surfaces 6. Cylinders and Cones TestsChapter 12 Complex Numbers 1. Complex Arithmetic 2. The Complex Plane 3. Zeros of Polynomials 4. De Moivre's Theorem and Roots of Unity TestsChapter 13 Induction and the Binomial Theorem 1. Mathematical Induction 2. Binomial Coefficients 3. Binomial Theorem TestsAnswers to Odd-Numbered ExercisesTables 1. 4-Place Logarithm 2. 4-Place Antilogarithm 3. Powers and Roots 4. Trigonometric (Degrees) 5. Trigonometric (Radians) 6. Log-Trig (Degrees) 7. Trigonometric (p Radians)Index