Nguồn ngoài
College Algebra and Trigonometry
This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.
- Tác giả
- Richard W. Beveridge
- Nhà xuất bản
- Clatsop Community College
- Nguồn
- LibreTexts
- Giấy phép
- CC BY-NC-SA
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 73 mục
- 01: Algebra Review
- 1.01: Algebraic Simplification
- 1.02: Factoring
- 1.03: Quadratic Equations
- 1.04: Complex Numbers
- 1.05: Quadratic Equations with Complex Roots
- 1.06: Multiplying and Dividing Rational Expressions
- 1.07: Adding and Subtracting Rational Expressions
- 1.08: Complex Fractions
- 1.09: Rational Equations
- 02: Polynomial and Rational Functions
- 201: Representing Intervals
- 202: Solution by Graphing
- 203: Solution of Polynomial Inequalities by Graphing
- 204: Solution of Rational Inequalities by Graphing
- 205: Finding Factors from Roots
- 206: Polynomial Long Division
- 207: Synthetic Division
- 208: Roots and Factorization of Polynomials
- 03: Exponents and Logarithms
- 3.01: Exponential and Logistic Applications
- 3.02: Logarithmic Notation
- 3.03: Solving Exponential Equations
- 3.04: Solving Logarithmic Equations
- 3.05: Applications of the Negative Exponential Function
- 04: Functions
- 401: Function Notation
- 402: Domain and Range of a Function
- 403: Maximum and Minimum Values
- 404: Transformations
- 405: Toolbox Functions
- 406: Piecewisedefined Functions
- 407: Composite functions
- 408: Inverse Functions
- 409: Optimization
- 05: Conic Sections Circle and Parabola
- 5.01: The Equation of the Circle
- 5.02: The Equation of the Parabola
- 5.03: Applications of the Parabola
- 06: Sequences and Series
- 6.01: Sequences
- 6.02: Arithmetic and Geometric Sequences
- 6.03: Series
- 6.04: Sum of a Series
- 07: Combinatorics
- 7.01: The Fundamental Principle of Counting
- 7.02: Factorial Notation and Permutations
- 7.03: Permutations and Combinations
- 7.04: General Combinatorics Problems
- 7.05: Distinguishable Permutations
- 7.06: Probability
- 08: Right Triangle Trigonometry
- 8.01: Measuring Angles
- 8.02: The Trigonometric Ratios
- 8.03: Solving Triangles
- 8.04: Applications
- 8.05: More Applications
- 09: Graphing the Trigonometric Functions
- 9.01: Trigonometric Functions of Non-Acute Angles
- 9.02: Graphing Trigonometric Functions
- 9.03: The Vertical Shift of a Trigonometric Function
- 9.04: Phase Shift
- 9.05: Combining the Transformations
- 10: Trigonometric Identities and Equations
- 10.01: Reciprocal and Pythagorean Identities
- 10.02: Double-Angle Identities
- 10.03: Trigonometric Equations
- 10.04: More Trigonometric Equations
- 11: The Law of Sines and The Law of Cosines
- 11.01: The Law of Sines
- 11.02: The Law of Sines - the ambiguous case
- 11.03: The Law of Cosines
- 11.04: Applications