Precalculus

Mathematics

Tác giả: Carl Stitz & Jeff Zeager
Nhà xuất bản: Lakeland Community College & Lorain County Community College
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 83 mục

01: Relations and Functions
1.0E: 1.E: Relations and Functions (Exercises)
1.01: Sets of Real Numbers and the Cartesian Coordinate Plane
1.1.01: exercise temp
1.02: Relations
1.03: Introduction to Functions
1.04: Function Notation
1.05: Function Arithmetic
1.06: Graphs of Functions
1.07: Transformations
02: Linear and Quadratic Functions
2.0E: 2.E: Linear and Quadratic Functions (Exercises)
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
3.0E: 3.E: Polynomial Functions (Exercises)
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
4.0E: 4.E: Rational Functions (Exercises)
4.01: Introduction to Rational Functions
4.02: Graphs of Rational Functions
4.03: Rational Inequalities and Applications
05: Further Topics in Functions
5.01: Further Topics in Functions (Exercises)
5.02: Function Composition
5.03: Inverse Functions
5.04: Other Algebraic Functions
06: Exponential and Logarithmic Functions
6.0E: 6.E: Exponential and Logarithmic Functions (Exercises)
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
7.0E: 7.E: Hooked on Conics (Exercises)
7.01: Introduction to Conics
7.02: Circles
7.03: Parabolas
7.04: Ellipses
7.05: Hyperbolas
08: Systems of Equations and Matrices
8.0E: 8.E: Systems of Equations and Matrices (Exercises)
8.01: Systems of Linear Equations- Gaussian Elimination
8.02: Systems of Linear Equations- Augmented Matrices
8.03: Systems of Linear Equations- Matrix Inverses
8.04: Matrix Arithmetic
8.05: Determinants and Cramer’s Rule
8.06: Partial Fraction Decomposition
8.07: Systems of Non-Linear Equations and Inequalities
09: Sequences and the Binomial Theorem
9.0E: 9.E: Sequences and the Binomial Theorem (Exercises)
9.01: Sequences
9.02: Summation Notation
9.03: Mathematical Induction
9.04: The Binomial Theorem
10: Foundations of Trigonometry
10.0E: 10.E: Foundations of Trigonometry (Exercises)
10.01: The Unit Circle- Cosine and Sine
10.02: Angles and their Measure
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
11.0E: 11.E: Applications of Trigonometry (Exercises)
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