
External
Precalculus
- Author
- Carl Stitz & Jeff Zeager
- Publisher
- Lakeland Community College & Lorain County Community College
- Source
- LibreTexts
- License
- CC BY-NC-SA
- Language
- EN
- Category
- Basic Sciences
Contents· 72 sections
- 01: Relations and Functions
- 1.01: Sets of Real Numbers and the Cartesian Coordinate Plane
- 1.02: Relations
- 1.03: Introduction to Functions
- 1.04: Function Notation
- 1.05: Function Arithmetic
- 1.6: Graphs of Functions
- 1.07: Transformations
- 02: Linear and Quadratic Functions
- 2.01: Linear Functions
- 2.02: Absolute Value Functions
- 2.03: Quadratic Functions
- 2.04: Inequalities with Absolute Value and Quadratic Functions
- 2.05: Regression
- 03: Polynomial Functions
- 3.01: Graphs of Polynomials
- 3.02: The Factor Theorem and the Remainder Theorem
- 3.03: Real Zeros of Polynomials
- 3.04: Complex Zeros and the Fundamental Theorem of Algebra
- 04: Rational Functions
- 4.01: Introduction to Rational Functions
- 4.02: Graphs of Rational Functions
- 4.03: Rational Inequalities and Applications
- 05: Further Topics in Functions
- 5.02: Function Composition
- 5.3: Other Algebraic Functions
- 5.04: Other Algebraic Functions
- 06: Exponential and Logarithmic Functions
- 6.01: Introduction to Exponential and Logarithmic Functions
- 6.02: Properties of Logarithms
- 6.03: Exponential Equations and Inequalities
- 6.04: Logarithmic Equations and Inequalities
- 6.05: Applications of Exponential and Logarithmic Functions
- 07: Hooked on Conics
- 7.01: Introduction to Conics
- 7.02: Circles
- 7.03: Parabolas
- 7.04: Ellipses
- 7.05: Hyperbolas
- 08: Systems of Equations and Matrices
- 8.01: Systems of Linear Equations- Gaussian Elimination
- 8.02: Systems of Linear Equations- Augmented Matrices
- 8.03: Systems of Linear Equations- Matrix Inverses
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- 8.04: Matrix Arithmetic
- 8.05: Determinants and Cramers Rule
- 8.06: Partial Fraction Decomposition
- 8.07: Systems of Non-Linear Equations and Inequalities
- 09: Sequences and the Binomial Theorem
- 9.01: Sequences
- 9.02: Summation Notation
- 9.03: Mathematical Induction
- 9.04: The Binomial Theorem
- 10: Foundations of Trigonometry
- 10.01: Angles and their Measure
- 10.02: The Unit Circle- Cosine and Sine
- 10.03: The Six Circular Functions and Fundamental Identities
- 10.04: Trigonometric Identities
- 10.05: Graphs of the Trigonometric Functions
- 10.06: The Inverse Trigonometric Functions
- 10.07: Trigonometric Equations and Inequalities
- 11: Applications of Trigonometry
- 11.01: Applications of Sinusoids
- 11.02: The Law of Sines
- 11.03: The Law of Cosines
- 11.04: Polar Coordinates
- 11.05: Graphs of Polar Equations
- 11.06: Hooked on Conics Again
- 11.07: Polar Form of Complex Numbers
- 11.08: Vectors
- 11.09: The Dot Product and Projection
- 11.10: Parametric Equations