Intermediate Algebra and Precalculus

This course integrates Intermediate Algebra and Trigonometry with Precalculus. Topics include properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and trigonometric functions.

Mathematics

Tác giả: Margaret H. Dean
Nhà xuất bản: Borough of Manhattan Community College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 151 mục

01: Foundations
1.00: Prelude to the Foundations of Algebra
1.02: Use the Language of Algebra
1.2.0E: Section 1.2E: Exercises
1.04: Graphs of Equations with Two Variables
1.05: Chapter 1 Review Exercises
1.07: Properties of Exponents and Scientific Notation
1.7.0E: Section 1.7E: Exercises
02: Solving Linear Equations
2.01: Prelude to Solving Linear Equations
2.02: Use a General Strategy to Solve Linear Equations
2.2.0E: Section 2.2E: Use a General Strategy to Solve Linear Equations (Exercises)
2.03: Use a Problem Solving Strategy
2.3.0E: Section 2.3E: Exercises
2.04: Solve a Formula for a Specific Variable
2.4.0E: Section 2.4E: Exercises
2.05: Solve Mixture and Uniform Motion Applications
2.5.0E: Section 2.5E: Exercises
2.06: Solve Linear Inequalities
2.6.0E: Section 2.6E: Exercises
2.07: Solve Compound Inequalities
2.7.0E: Section 2.7E: Exercises
2.08: Solve Absolute Value Inequalities
2.8.0E: Section 2.8E: Exercises
2.09: Chapter 2 Review Exercises
03: Functions
3.00: Prelude to Functions
3.02: Functions and Function Notation
3.2.0E: Section 3.2E: Exercises
3.03: Domain and Range
3.3.0E: Section 3.3E: Exercises
3.04: Rates of Change and Behavior of Graphs
3.4.0E: Section 3.4E: Exercises
3.05: Composition of Functions
3.5.0E: Section 3.5E: Exercises
3.06: Transformation of Functions
3.6.0E: Section 3.6E: Exercises
3.07: Absolute Value Functions
3.7.0E: Section 3.7E: Exercises
3.08: Inverse Functions
3.8.0E: Section 3.8E: Exercises
04: Polynomial and Rational Functions
4.01: Prelude to Polynomial and Rational Functions
4.02: Complex Numbers
4.2.0E: Section 4.2E: Exercises
4.03: Quadratic Functions
4.3.0E: 4.3E: Exercises
4.04: Power Functions and Polynomial Functions
4.4.0E: Section 4.4E: Exercises
4.05: Graphs of Polynomial Functions
4.5.0E: Section 4.8E: Exercises
4.06: Dividing Polynomials
4.07: Zeros of Polynomial Functions
4.07E: 4.07E: Exercises
4.08: Rational Functions
4.8.0E: Exercises
4.09: Inverses and Radical Functions
05: Exponential and Logarithmic Functions
5.01: Prelude to Exponential and Logarithmic Functions
5.02: Exponential Functions
5.2E: Exercises
5.03: Graphs of Exponential Functions
5.3E: Exercises
5.04: Logarithmic Functions
5.4E: Exercises
5.8.00: Exercises
5.05: Graphs of Logarithmic Functions
5.5E: Exercises
5.06: Logarithmic Properties
5.6E: Exercises
5.07: Exponential and Logarithmic Equations
5.7E: Exercises
06: Trigonometric Functions
6.00: Prelude to Trigonometric Functions
6.02: Angles
6.02E: Exercises
6.03: Unit Circle - Sine and Cosine Functions
6.3E: Exercises
6.04: The Other Trigonometric Functions
6.4E: Exercises
6.05: Right Triangle Trigonometry
Section 6.5E: Exercises
07: Periodic Functions
7.00: Prelude to Periodic Functions
7.02: Graphs of the Sine and Cosine Functions
7.02E: Exercises
7.03: Graphs of the Other Trigonometric Functions
7.3E: Exercises
7.04: Inverse Trigonometric Functions
7.4E: Exercises
08: Trigonometric Identities and Equations
8.00: Prelude to Trigonometric Identities and Equations
8.02: Simplifying Trigonometric Expressions with Identities
8.2E: Exercises
8.03: Sum and Difference Identities
8.03E: Exercises
8.04: Double-Angle Half-Angle and Reduction Formulas
8.05: Solving Trigonometric Equations
8.08: Exercises
8.10: Exercises
09: Systems of Equations and Inequalities
9.00: Partial Fractions
Chapter 0: Introduction
0.1: What is this Course All About
0.2: Sets of Numbers
0.3: A Function Fable
Chapter 3A: Algebra Topics
3A.01: Linear Functions
3A.02: Graphs of Linear Functions
3A.03: Modeling with Linear Functions
3A.04: Solve Systems of Linear Equations with Two Variables
3.3.2.2.0E: Section 3.3.2.2E: Exercises
3A.05: Solve Applications with Systems of Equations
3.3.2.3.0E: Section 3.3.2.3E: Exercises
3A.06: Add and Subtract Polynomials
3A.06E: Section 3.5.1E: Exercises
3A.07: Multiply Polynomials
3A.07E: Exercises
3A.08: Simplify Expressions with Roots
3A.08E: Exercises
3A.09: Simplify Radical Expressions
3A.09E: Exercises
3A.10: Rational Exponents
3A.10E: Exercises
3A.11: Solve Radical Equations
3A.11E: Exercises
Chapter 4A: Algebra Topics
4A.01: Greatest Common Factor and Factor by Grouping
4A.01.E: Exercises
4A.02: Factor Trinomials
4A.02E: Exercises
4A.03: Factor Special Products
4A.03E Exercises
4A.04: General Strategy for Factoring Polynomials
4A.04E: Section 4.1.1.5E: Exercises
4A.05: Factoring Review Exercises
4A.06: Multiply and Divide Rational Expressions
4.06E: 4.06E: Exercises
4A.07: Add and Subtract Rational Expressions
4A.07E: 4A.7E: Exercises
4A.08: Simplify Complex Rational Expressions
4A.08E: 4.8E: Exercises
4A.09: Solve Rational Equations
4.9E: 4.14.1.5E: Exercises
4A.10: Solve Rational Inequalities
4.10E: 4.10E: Exercises
4A.11: Rational Expression Review Exercises
Chapter 10: Appendix
A: Operations with Integers
B: Working with Fractions
C: Properties of Real Numbers