Table of Contents -- Introduction -- Chapter 1: Geometry -- 1.1 Lines and Angles -- 1.2 Polygons -- 1.3 Triangles -- 1.4 Quadrilaterals (Four-Sided Polygons) -- 1.5 Circles -- 1.6 Perimeter and Area of Planar Two-Dimensional Shapes -- 1.7 Volume and Surface Area of Three-Dimensional Objects -- 1.8 Vectors -- Chapter 2: Trigonometry -- 2.1 Introduction -- 2.2 General Trigonometric Functions -- 2.3 Addition, Subtraction, and Multiplication of Two Angles -- 2.4 Oblique Triangles -- 2.5 Graphs of Cosine, Sine, Tangent, Secant, Cosecant, and Cotangent -- 2.6 Relationship Between Trigonometric and Exponential Functions -- 2.7 Hyperbolic Functions -- Chapter 3: Sets and Functions -- 3.1 Sets -- 3.2 Functions -- Chapter 4: Sequences, Progressions, and Series -- 4.1 Sequences -- 4.2 Arithmetic Progressions -- 4.3 Geometric Progressions -- 4.4 Series -- 4.5 Infinite Series: Convergence and Divergence -- 4.6 Tests for Convergence of Infinite Series -- 4.7 The Power Series -- 4.8 Expanding Functions into Series -- 4.9 The Binomial Expansion -- Chapter 5: Limits -- 5.1 Introduction to Limits -- 5.2 Limits and Continuity -- Chapter 6: Introduction to the Derivative -- 6.1 Definition -- 6.2 Evaluating Derivatives -- 6.3 Differentiating Multivariable Functions -- 6.4 Differentiating Polynomials -- 6.5 Derivatives and Graphs of Functions -- 6.6 Adding and Subtracting Derivatives of Functions -- 6.7 Multiple or Repeated Derivatives of a Function -- 6.8 Derivatives of Products and Powers of Functions -- 6.9 Derivatives of Quotients of Functions -- 6.10 The Chain Rule for Differentiating Complicated Functions -- 6.11 Differentiation of Implicit vs. Explicit Functions -- 6.12 Using Derivatives to Determine the Shape of the Graph of a Function (Minimum and Maximum Points) -- 6.13 Other Rules of Differentiation.

6.14 An Application of Differentiation: Curvilinear Motion -- Chapter 7: Introduction to the Integral -- 7.1 Definition of the Antiderivative or Indefinite Integral -- 7.2 Properties of the Antiderivative or Indefinite Integral -- 7.3 Examples of Common Indefinite Integrals -- 7.4 Definition and Evaluation of the Definite Integral -- 7.5 The Integral and the Area Under the Curve in Graphs of Functions -- 7.6 Integrals and Volume -- 7.7 Even Functions, Odd Functions, and Symmetry -- 7.8 Properties of the Definite Integral -- 7.9 Methods for Evaluating Complex Integrals: Integration by Parts, Substitution, and Tables -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U-V -- X -- Y -- Z.