Algebra and trigonometry - Info and Reading Options

"Algebra and trigonometry" Table Of Contents:

• 1- Chapter 0: Prerequisites and review
• 2- 0.1 Real numbers
• 3- 0.2 Integer exponents and scientific notation
• 4- 0.3 Polynomials: Basic operations
• 5- 0.4 Factoring polynomials
• 6- 0.5 Rational expressions
• 7- 0.6 Rational exponents and radicals
• 8- 0.7 Complex Numbers
• 9- Review
• 10- Review exercises
• 11- Practice test
• 12- Chapter 1: Equations and inequalitites
• 13- 1.1 Linear equations
• 14- 1.2 Applications involving linear equations
• 15- 1.3 Quadratic equations
• 16- 1.4 Other types of equations
• 17- 1.5 Linear inequalities
• 18- 1.6 Polynomial and rational inequalities
• 19- 1.7 Absolute value equations and inequalities
• 20- Modeling your world
• 21- Review
• 22- Review exercises
• 23- Practice test
• 24- Cumulative test
• 25- Chapter 2: Graphs
• 26- 2.1 Basic tools: Cartesian plane, distance, and midpoint
• 27- 2.2 Graphing equations: Point-plotting, intercepts, and symmetry
• 28- 2.3 Lines
• 29- 2.4 Circles
• 30- Modeling your world
• 31- Review
• 32- Review exercises
• 33- Practice test
• 34- Cumulative test
• 35- Chapter 3: Functions and their graphs
• 36- 3.1 Functions
• 37- 3.2 Graphs of functions; Piecewise-defined functions; Increasing and decreasing functions; Average rate of change
• 38- 3.3 Graphing techniques: Transformations
• 39- 3.4 Operations on functions and composition of functions
• 40- 3.5 One-to-one functions and inverse functions
• 41- 3.6 Modeling functions using variation
• 42- Modeling your world
• 43- Review
• 44- Review exercises
• 45- Practice test
• 46- Cumulative test
• 47- Chapter 4: Polynomial and rational functions
• 48- 4.1 Quadratic functions
• 49- 4.2 Polynomial functions of higher degree
• 50- 4.3 Dividing polynomials: Long division and synthetic division
• 51- 4.4 The real zeros of a polynomial functions
• 52- 4.5 Complex zeros: The fundamental theorem of algebra
• 53- 4.6 Rational functions
• 54- Modeling your world
• 55- Review
• 56- Review exercises
• 57- Practice test
• 58- Cumulative test
• 59- Chapter 5: Exponential and logarithmic functions
• 60- 5.1 Exponential functions and their graphs
• 61- 5.2 Logarithmic functions and their graphs
• 62- 5.3 Properties of logarithms
• 63- 5.4 Exponential and logarithmic equations
• 64- 5.5 Exponential and logarithmic models
• 65- Modeling your world
• 66- Review
• 67- Review exercises
• 68- Practice test
• 69- Cumulative test
• 70- Chapter 6: Trigonometric functions
• 71- 6.1 Angles, degrees, and triangles
• 72- 6.2 Definition 1 of trigonometric functions: Right triangle ratios
• 73- 6.3 Applications of right triangle trigonometry: Solving right triangles
• 74- 6.4 Definition 2 of trigonometric functions: Cartesian plane
• 75- 6.5 Trigonometric functions of nonacute angles
• 76- 6.6 Radian measure and applications
• 77- 6.7 Definition 3 of trigonometric functions: Unit circle approach
• 78- 6.8 Graphs of sine and cosine functions
• 79- 6.9 Graphs of other trigonometric functions
• 80- Modeling your world
• 81- Review
• 82- Review exercises
• 83- Practice test
• 84- Cumulative test
• 85- Chapter 7: Analytic trigonometry
• 86- 7.1 Basic trigonometric identities
• 87- 7.2 Verifying trigonometric identities
• 88- 7.3 Sum and difference identities
• 89- 7.4 Double-angle identities
• 90- 7.5 Half-angle identities
• 91- 7.6 Product-to-sum and sum-to-product identities
• 92- 7.7 Inverse trigonometric functions
• 93- 7.8 Trigonometric equations
• 94- Modeling your world
• 95- Review
• 96- Review exercises
• 97- Practice test
• 98- Cumulative test
• 99- Chapter 8: Additional topics in trigonometry
• 100- 8.1 Oblique triangles and the law of sines
• 101- 8.2 The law of cosines
• 102- 8.3 The area of a triangle
• 103- 8.4 Vectors
• 104- 8.5 The dot product
• 105- 8.6 Polar (Trigonometric) form of complex numbers
• 106- 8.7 Products, quotients, powers, and roots of complex numbers
• 107- 8.8 Polar equations and graphs
• 108- Modeling your world
• 109- Review
• 110- Review exercises
• 111- Practice test
• 112- Cumulative test
• 113- Chapter 9: Systems of linear equations and inequalities
• 114- 9.1 Systems of linear equations in two variables
• 115- 9.2 Systems of linear equations in three variables
• 116- 9.3 Partial fractions
• 117- 9.4 Systems of linear inequalities in two variables
• 118- 9.5 The linear programming model
• 119- Modeling your world
• 120- Review
• 121- Review exercises
• 122- Practice test
• 123- Cumulative test
• 124- Chapter 10: Matrices
• 125- 10.1 Matrices and systems of linear equations
• 126- 10.2 Matrix algebra
• 127- 10.3 Matrix equations; the inverse of a square matrix 10.4 The determinant of a square matrix and Cramer's rule
• 128- Modeling your world
• 129- Review
• 130- Review exercises
• 131- Practice test
• 132- Cumulative test
• 133- Chapter 11: Analytic geometry and systems of nonlinear equations and inequalities
• 134- 1.1 Conic basics
• 135- 11.2 The parabola
• 136- 11.3 The ellipse
• 137- 11.4 The hyperbola
• 138- 11.5 Systems of nonlinear equations
• 139- 11.6 Systems of nonlinear inequalitites
• 140- 11.7 Rotation of axes
• 141- 11.8 Polar equations of conics
• 142- 11.9 Parametric equations and graphs
• 143- Modeling your world
• 144- Review
• 145- Review exercises
• 146- Practice test
• 147- Cumulative test
• 148- Chapter 12: Sequences, series, and probability
• 149- 12.1 Sequences and series
• 150- 12.2 Arithmetic sequences and series
• 151- 12.3 Geometric sequences and series
• 152- 12.4 Mathematical induction
• 153- 12.5 The binomial theorem
• 154- 12.6 Counting, permutations, and combinations
• 155- 12.7 Probability
• 156- Modeling your world
• 157- Review
• 158- Review exercises
• 159- Practice test
• 160- Cumulative test
• 161- Answers to odd numbered exercises
• 162- Applications index
• 163- Subject index.

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