| Notetaking Guide (IAE)
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Notetaking Guide (IAE)

Chapter 1 Functions and Their Graphs

  • Section 1.1 Rectangular Coordinates
  • Section 1.2 Graphs of Equations
  • Section 1.3 Linear Equations in Two Variables
  • Section 1.4 Functions
  • Section 1.5 Analyzing Graphs of Functions
  • Section 1.6 A Library of Parent Functions
  • Section 1.7 Transformations of Functions
  • Section 1.8 Combinations of Functions: Composite Functions
  • Section 1.9 Inverse Functions
  • Section 1.10 Mathematical Modeling and Variation



  • Chapter 2 Polynomial and Rational Functions

  • Section 2.1 Quadratic Functions and Models
  • Section 2.2 Polynomial Functions of Higher Degree
  • Section 2.3 Polynomial and Synthetic Division
  • Section 2.4 Complex Numbers
  • Section 2.5 Zeros of Polynomial Functions
  • Section 2.6 Rational Functions
  • Section 2.7 Nonlinear Inequalities



  • Chapter 3 Exponential and Logarithmic Functions

  • Section 3.1 Exponential Functions and Their Graphs
  • Section 3.2 Logarithmic Functions and Their Graphs
  • Section 3.3 Properties of Logarithms
  • Section 3.4 Exponential and Logarithmic Equations
  • Section 3.5 Exponential and Logarithmic Models



  • Chapter 4 Trigonometry

  • Section 4.1 Radian and Degree Measure
  • Section 4.2 Trigonometric Functions: The Unit Circle
  • Section 4.3 Right Angle Trigonometry
  • Section 4.4 Trigonometric Functions of Any Angle
  • Section 4.5 Graphs of Sine and Cosine Functions
  • Section 4.6 Graphs of Other Trigonometric Functions
  • Section 4.7 Inverse Trigonometric Functions
  • Section 4.8 Applications and Models



  • Chapter 5 Analytic Trigonometry

  • Section 5.1 Using Fundamental Identities
  • Section 5.2 Verifying Trigonometric Identities
  • Section 5.3 Solving Trigonometric Equations
  • Section 5.4 Sum and Difference Formulas
  • Section 5.5 Multiple-Angle and Product-to-Sum Formulas



  • Chapter 6 Additional Topics in Trigonometry

  • Section 6.1 Law of Sines
  • Section 6.2 Law of Cosines
  • Section 6.3 Vectors in the Plane
  • Section 6.4 Vectors and Dot Products
  • Section 6.5 Trigonometric Form of a Complex Number



  • Chapter 7 Systems of Equations and Inequalities

  • Section 7.1 Linear and Nonlinear Systems of Equations
  • Section 7.2 Two-Variable Linear Systems
  • Section 7.3 Multivariable Linear Systems
  • Section 7.4 Partial Fractions
  • Section 7.5 Systems of Inequalities
  • Section 7.6 Linear Programming



  • Chapter 8 Matrices and Determinants

  • Section 8.1 Matrices and Systems of Equations
  • Section 8.2 Operations with Matrices
  • Section 8.3 The Inverse of a Square Matrix
  • Section 8.4 The Determinant of a Square Matrix
  • Section 8.5 Applications of Matrices and Determinants



  • Chapter 9 Sequences, Series, and Probability

  • Section 9.1 Sequences and Series
  • Section 9.2 Arithmetic Sequences and Partial Sums
  • Section 9.3 Geometric Sequences and Series
  • Section 9.4 Mathematical Induction
  • Section 9.5 The Binomial Theorem
  • Section 9.6 Counting Principles
  • Section 9.7 Probability



  • Chapter 10 Topics in Analytic Geometry

  • Section 10.1 Lines
  • Section 10.2 Introduction to Conics: Parabolas
  • Section 10.3 Ellipses
  • Section 10.4 Hyperbolas
  • Section 10.5 Rotation of Conics
  • Section 10.6 Parametric Equations
  • Section 10.7 Polar Coordinates
  • Section 10.8 Graphs of Polar Equations
  • Section 10.9 Polar Equations of Conics



  • Chapter 11 Analytic Geometry in Three Dimensions

  • Section 11.1 The Three-Dimensional Coordinate System
  • Section 11.2 Vectors in Space
  • Section 11.3 The Cross Product of Two Vectors
  • Section 11.4 Lines and Planes in Space



  • Chapter 12 Limits and an Introduction to Calculus

  • Section 12.1 Introduction to Limits
  • Section 12.2 Techniques for Evaluating Limits
  • Section 12.3 The Tangent Line Problem
  • Section 12.4 Limits at Infinity and Limits of Sequences
  • Section 12.5 The Area Problem


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