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"Master Math: Pre-Calculus and Geometry" makes the transition from algebra smooth and stress-free. This comprehensive pre-calculus book begins with the most basic fundamental principles and progresses through more advanced topics. The book covers subjects like triangles, volume, limits, derivatives, differentiation, and more in a clear, easy-to-understand manner. "Pre-Calculus and Geometry" explains the principles and operations of geometry, trigonometry, pre-calculus and introductory calculus with step-by-step procedures and solutions.
Table of Contents
|Lines and Angles||p. 2|
|Quadrilaterals (Four-Sided Polygons)||p. 16|
|Perimeter and Area of Planar Two-Dimensional Shapes||p. 26|
|Volume and Surface Area of Three-Dimensional Objects||p. 32|
|General Trigonometric Functions||p. 43|
|Addition, Subtraction, and Multiplication of Two Angles||p. 50|
|Oblique Triangles||p. 51|
|Graphs of Cosine, Sine, Tangent, Secant, Cosecant, and Cotangent||p. 52|
|Relationship Between Trigonometric and Exponential Functions||p. 56|
|Hyperbolic Functions||p. 57|
|Sets and Functions||p. 59|
|Sequences, Progressions, and Series||p. 67|
|Arithmetic Progressions||p. 69|
|Geometric Progressions||p. 70|
|Infinite Series: Convergence and Divergence||p. 74|
|Tests for Convergence of Infinite Series||p. 77|
|The Power Series||p. 83|
|Expanding Functions into Series||p. 84|
|The Binomial Expansion||p. 89|
|Introduction to Limits||p. 91|
|Limits and Continuity||p. 95|
|Introduction to the Derivative||p. 101|
|Evaluating Derivatives||p. 107|
|Differentiating Multivariable Functions||p. 109|
|Differentiating Polynomials||p. 110|
|Derivatives and Graphs of Functions||p. 110|
|Adding and Subtracting Derivatives of Functions||p. 113|
|Multiple or Repeated Derivatives of a Function||p. 114|
|Derivatives of Products and Powers of Functions||p. 115|
|Derivatives of Quotients of Functions||p. 120|
|The Chain Rule for Differentiating Complicated Functions||p. 122|
|Differentiation of Implicit vs. Explicit Functions||p. 125|
|Using Derivatives to Determine the Shape of the Graph of a Function (Minimum and Maximum Points)||p. 128|
|Other Rules of Differentiation||p. 136|
|An Application of Differentiation: Curvilinear Motion||p. 137|
|Introduction to the Integral||p. 141|
|Definition of the Antiderivative or Indefinite Integral||p. 142|
|Properties of the Antiderivative or Indefinite Integral||p. 144|
|Examples of Common Indefinite Integrals||p. 147|
|Definition and Evaluation of the Definite Integral||p. 148|
|The Integral and the Area Under the Curve in Graphs of Functions||p. 151|
|Integrals and Volume||p. 155|
|Even Functions, Odd Functions, and Symmetry||p. 158|
|Properties of the Definite Integral||p. 160|
|Methods for Evaluating Complex Integrals: Integration by Parts, Substitution, and Tables||p. 161|
|Table of Contents provided by Ingram. All Rights Reserved.|