Introductory College Mathematics

¿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 Vectors and Matrices 1. Column Vectors and Inner Products 2. Matrices 3. 3x3 Matrices 4. Determinants 5. Linear Systems 6. Inverses and Cramer's Rule TestsChapter 12 Geometry of Space 1. Lines and Planes 2. The Cross Product 3. Linear Independence 4. Some Applications 5. Polynomials in Several Variables 6. Quadric Surfaces 7. Cylinders and Cones TestsChapter 13 Linear Transformations 1. Basic Properties 2. Examples in the Plane 3. Rotations and Reflections 4. Examples in Space TestsChapter 14 Complex Numbers 1. Complex Arithmetic 2. The Complex Plane 3. Zeros of Polynomials 4. De Moivre's Theorem and Roots of Unity 5. Complex Matrices [Optional] TestsChapter 15 Finite Mathematics 1. Sequences 2. Evaluation of Sums 3. Counting 4. Permutations and Combinations 5. Binomial Theorem 6. Mathematical Induction 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