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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: 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
