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General Resources
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Student Success Organizer (IAE)
General Resources
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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
