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> General Resources > Student Success Organizer (IAE)
General Resources

Use these general resource documents and activities to help increase your success in this course. Some content requires software plugins. Visit our Plugin Help Center for help with downloading plugins.

Student Success Organizer (IAE)

Chapter 1: Functions and Their Graphs

  • Section 1.1 Lines in the Plane
  • Section 1.2 Functions
  • Section 1.3 Graphs of Functions
  • Section 1.4 Shifting, Reflection, and Stretching Graphs
  • Section 1.5 Combinations of Functions
  • Section 1.6 Inverse Functions
  • Section 1.7 Linear Models and Scatter Plots



  • Chapter 2: Polynomial and Rational Functions

  • Section 2.1 Quadratic Functions
  • Section 2.2 Polynomial Functions of Higher Degree
  • Section 2.3 Real Zeros of Polynomial Functions
  • Section 2.4 Complex Numbers
  • Section 2.5 The Fundamental Theorem of Algebra
  • Section 2.6 Rational Functions and Asymptotes
  • Section 2.7 Graphs of Rational Functions
  • Section 2.8 Quadratic Models



  • 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 Solving Exponential and Logarithmic Equations
  • Section 3.5 Exponential and Logarithmic Models
  • Section 3.6 Nonlinear Models



  • Chapter 4: Trigonometric Functions

  • Section 4.1 Radian and Degree Measure
  • Section 4.2 Trigonometric Functions: The Unit Circle
  • Section 4.3 Right Triangle 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: Linear Systems and Matrices

  • Section 7.1 Solving Systems of Equations
  • Section 7.2 Systems of Linear Equations in Two Variables
  • Section 7.3 Multivariable Linear Systems
  • Section 7.4 Matrices and Systems of Equations
  • Section 7.5 Operations with Matrices
  • Section 7.6 The Inverse of a Square Matrix
  • Section 7.7 The Determinant of a Square Matrix
  • Section 7.8 Applications of Matrices and Determinants



  • Chapter 8: Sequences, Series, and Probability

  • Section 8.1 Sequence and Series
  • Section 8.2 Arithmetic Sequences and Partial Sums
  • Section 8.3 Geometric Sequences and Series
  • Section 8.4 Mathematical Induction
  • Section 8.5 The Binomial Theorem
  • Section 8.6 Counting Principals
  • Section 8.7 Probability



  • Chapter 9: Topics in Analytic Geometry

  • Section 9.1 Conics: Circles and Parabolas
  • Section 9.2 Conics: Ellipses
  • Section 9.3 Conics: Hyperbolas
  • Section 9.4 Rotation and Systems of Quadratic Equations
  • Section 9.5 Parametric Equations
  • Section 9.6 Polar Coordinates
  • Section 9.7 Graphs of Polar Equations
  • Section 9.8 Polar Equations of Conics



  • Chapter 10: Analytic Geometry in Three Dimensions

  • Section 10.1 The Three-Dimensional Coordinate System
  • Section 10.2 Vectors in Space
  • Section 10.3 The Cross Product of Two Vectors
  • Section 10.4 Lines and Planes in Space



  • Chapter 11: Limits and an Introduction to Calculus

  • Section 11.1 Introduction to Limits
  • Section 11.2 Techniques for Evaluating Limits
  • Section 11.3 The Tangent Line Problem
  • Section 11.4 Limits at Infinity and Limits of Sequences
  • Section 11.5 The Area Problem


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