External
Precalculus
- Author
- CK12
- Publisher
- CK12
- Source
- LibreTexts
- License
- CK-12
- Language
- EN
- Category
- Basic Sciences
Contents· 129 sections
- 01: Functions and Graphs
- 1.01: 1.1 Function Families
- 1.02: 1.2 Graphical Transformations
- 1.03: 1.3 Point Notation and Function Notation
- 1.04: 1.4 Domain and Range
- 1.05: 1.5 Maximums and Minimums
- 1.06: 1.6 Symmetry
- 1.07: 1.7 Increasing and Decreasing
- 1.08: 1.8 Zeroes and Intercepts of Functions
- 1.09: 1.9 Asymptotes and End Behavior
- 1.10: 1.10 Continuity and Discontinuity
- 1.11: 1.11 Function Composition
- 1.12: 1.12 Inverses of Functions
- 02: Polynomials and Rational Functions
- 2.01: 2.1 Factoring Review
- 2.02: 2.2 Advanced Factoring
- 2.03: 2.3 Polynomial Expansion and Pascal's Triangle
- 2.04: 2.4 Rational Expressions
- 2.05: 2.5 Polynomial Long Division and Synthetic Division
- 2.06: Section 6-
- 2.7 Holes in Rational Functions
- 2.8 Zeroes of Rational Functions
- 2.9 Vertical Asymptotes
- 2.10 Horizontal Asymptotes
- 2.11 Oblique Asymptotes
- 2.12 Sign Test for Rational Function Graphs
- 2.13 Graphs of Rational Functions by Hand
- 03: Logs and Exponents
- 3.01: Exponential Functions
- 3.02: Properties of Exponents
- 3.03: Scientific Notation
- 3.04: Properties of Logs
- 3.05: Change of Base
- 3.06: Exponential Equations
- 3.07: Logistic Functions
- 04: Basic Triangle Trigonometry
- 4.01: Angles in Radians and Degrees
- 4.02: Circular Motion and Dimensional Analysis
- 4.03: Special Right Triangles
- 4.04: Right Triangle Trigonometry
- 4.05: Law of Cosines
- 4.06: Law of Sines
- 4.07: Area of a Triangle
- 4.08: Applications of Basic Triangle Trigonometry
- 05: Trigonometric Functions
- 5.01: The Unit Circle
- 5.02: The Sinusoidal Function Family
- 5.03: Amplitude of Sinusoidal Functions
- 5.04: Vertical Shift of Sinusoidal Functions
- 5.05: Frequency and Period of Sinusoidal Functions
- 5.06: Phase Shift of Sinusoidal Functions
- 5.07: Graphs of Other Trigonometric Functions
- 5.08: Graphs of Inverse Trigonometric Functions
- 06: Analytic Trigonometry
- 6.01: Basic Trigonometric Identities
- 6.02: Pythagorean Identities
- 6.03: Sum and Difference Identities
- 6.04: Double Half and Power Reducing Identities
- 6.05: Trigonometric Equations
- 07: Vectors
- 7.01: Basic Properties of Vectors
- 7.02: Operations with Vectors
- 7.03: Resolution of Vectors into Components
- 7.04: Dot Product and Angle Between Two Vectors
- 7.05: Vector Projection
- 08: Systems and Matrices
- 8.01: Section 1-
- 8.02: Section 2-
- 8.03: Section 3-
- 8.04: Section 4-
- 8.05: Section 5-
- 8.06: Section 6-
- 8.7 Determinant of Matrices
- 8.8 Cramer's Rule
- 8.9 Inverse Matrices
- 8.10 Partial Fractions
- 09: Conics
- 9.01: Section 1-
- 9.02: Section 2-
- 9.03: Section 3-
- 9.04: Section 4-
- 9.05: Section 5-
- 9.06: Section 6-
- 10: Polar and Parametric Equations
- 10.01: Section 1-
- 10.02: Section 2-
- 10.03: Section 3-
- 10.04: Section 4-
- 10.05: Section 5-
- 11: Complex Numbers
- 11.01: Section 1-
- 11.02: Section 2-
- 11.03: Section 3-
- 11.04: Section 4-
- 12: Discrete Math
- 12.01: Section 1-
- 12.02: Section 2-
- 12.03: Section 3-
- 12.04: Section 4-
- 12.05: Section 5-
- 12.06: Section 6-
- 13: Finance
- 13.01: Section 1-
- 13.02: Section 2-
- 13.03: Section 3-
- 13.04: Section 4-
- 13.05: Section 5-
- 13.06: Section 6-
- 14: Concepts of Calculus
- 14.01: Section 1-
- 14.02: Section 2-
- 14.03: Section 3-
- 14.04: Section 4-
- 14.05: Section 5-
- 14.06: Section 6-
- 15: Concepts of Statistics
- 15.01: Section 1-
- 15.02: Section 2-
- 15.03: Section 3-
- 15.04: Section 4-
- 15.05: Section 5-
- 15.06: Section 6-
- 16: Logic and Set Theory
- 16.01: Section 1-
- 16.02: Section 2-
- 16.03: Section 3-
- 16.04: Section 4-
- 16.05: Section 5-
- 16.06: Section 6-