 Student Notetaking Guide


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Student Notetaking Guide
General Resources
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Student Notetaking Guide
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 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 MultipleAngle and ProducttoSum 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 TwoVariable 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 ThreeDimensional 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