Developmental Math (NROC)

Applied Mathematics Mathematics

Author: The NROC Project
Publisher: LibreTexts
Source: LibreTexts
License: CC BY-NC-SA
Language: EN
Category: Basic Sciences

Read online Download PDF (open licence)

Contents· 208 sections

01: Whole Numbers
1.01: Introduction to Whole Numbers
1.1.01: Place Value and Names for Whole Numbers
1.1.02: Rounding Whole Numbers
1.1.03: Comparing Whole Numbers
1.02: Adding and Subtracting Whole Numbers
1.2.01: Adding Whole Numbers and Applications
1.2.02: Subtracting Whole Numbers and Applications
1.2.03: Estimation
1.03: Multiplying and Dividing Whole Numbers
1.3.01: Multiplying Whole Numbers and Applications
1.3.02: Dividing Whole Numbers and Applications
1.04: Properties of Whole Numbers
1.4.01: Properties and Laws of Whole Numbers
1.4.02: The Distributive Property
1.05: Exponents Square Roots and the Order of Operations
1.5.01: Understanding Exponents and Square Roots
1.5.02: Order of Operations
02: Fractions and Mixed Numbers
2.01: Introduction to Fractions and Mixed Numbers
2.1.01: Introduction to Fractions and Mixed Numbers
2.1.02: Proper and Improper Fractions
2.1.03: Factors and Primes
2.1.04: Simplifying Fractions
2.1.05: Comparing Fractions
2.02: Multiplying and Dividing Fractions and Mixed Numbers
2.2.01: Multiplying Fractions and Mixed Numbers
2.2.02: Dividing Fractions and Mixed Numbers
2.03: Adding and Subtracting Fractions and Mixed Numbers
2.3.01: Adding Fractions and Mixed Numbers
2.3.02: Subtracting Fractions and Mixed Numbers
03: Decimals
3.01: Introduction to Decimals
3.1.01: Decimals and Fractions
3.1.02: Ordering and Rounding Decimals
3.02: Decimal Operations
3.2.01: Adding and Subtracting Decimals
3.2.02: Multiplying and Dividing Decimals
3.2.03: Estimation with Decimals
04: Ratios Rates and Proportions
4.01: Ratio and Rates
4.1.01: Simplifying Ratios and Rates
4.02: Proportions
4.2.01: Understanding Proportions
05: Percents
5.01: Introduction to Percents
5.1.01: Convert Percents Decimals and Fractions
5.02: Solving Percent Problems
5.2.01: Solving Percent Problems
06: Measurement
6.01: U.S. Customary Units of Measurement
6.1.01: Length
6.1.02: Weight
6.1.03: Capacity
6.02: Metric Units of Measurement
6.2.01: The Metric System
6.2.02: Converting within the Metric System
6.2.03: Using Metric Conversions to Solve Problems
6.03: Temperature
6.3.01: Temperature Scales
07: Geometry
7.01: Basic Geometric Concepts and Figures
7.1.01: Figures in 1 and 2 Dimensions
7.1.02: Properties of Angles
7.1.03: Triangles
7.1.04: The Pythagorean Theorem
7.02: Perimeter Circumference and Area
7.2.01: Quadrilaterals
7.2.02: Perimeter and Area
7.2.03: Circles
7.03: Volume of Geometric Solids
7.3.01: Solids
08: Concepts in Statistics
8.01: Statistical Graphs and Tables
8.1.01: Graphing Data
8.1.02: Other Types of Graphs
8.02: Measures of Center
8.2.01: Measures of Center
8.03: Graphical Representations
8.3.01: Use and Misuse of Graphical Representations
8.04: Probability
8.4.01: Probability
09: Real Numbers
9.01: Introduction to Real Numbers
9.1.01: Variables and Expressions
9.1.02: Integers
9.1.03: Rational and Real Numbers
9.02: Operations with Real Numbers
9.2.01: Adding Integers
9.2.02: Adding Real Numbers
9.2.03: Subtracting Real Numbers
9.2.04: Multiplying and Dividing Real Numbers
9.03: Properties of Real Numbers
9.3.01: Associative Commutative and Distributive Properties
9.04: Simplifying Expressions
9.4.01: Order of Operations
10: Solving Equations and Inequalities
10.01: Solving Equations
10.1.01: Solving One-Step Equations Using Properties of Equality
10.1.02: Solving Multi-Step Equations
10.1.03: Special Cases and Applications
10.1.04: Formulas
10.02: Solving Inequalities
10.2.01: Solving One-Step Inequalities
10.2.02: Multi-Step Inequalities
10.03: Compound Inequalities and Absolute Value
10.3.01: Compound Inequalities
10.3.02: Equations and Inequalities and Absolute Value
11: Exponents and Polynomials
11.01: Integer Exponents
11.1.01: Exponential Notation
11.1.02: Simplify by Using the Product Quotient and Power Rules
11.1.03: Products and Quotients Raised to Powers
11.1.04: Scientific Notation
11.02: Polynomials with Single Variables
11.2.01: Introduction to Single Variable Polynomials
11.2.02: Adding and Subtracting Polynomials
11.2.03: Multiplying Polynomials
11.2.04: Multiplying Special Cases
11.2.05: Dividing by a Monomial
11.2.06: Dividing by Binomials and Polynomials
11.03: Polynomials with Several Variables
11.3.01: Simplifying and Evaluating Polynomials with More than One Term
11.3.02: Operations with Polynomials
12: Factoring
12.01: Introduction to Factoring
12.1.01: Greatest Common Factor
12.02: Factoring Polynomials
12.2.01: Factoring Trinomials
12.2.02: Factoring- Special Cases
12.2.03: Special Cases- Cubes
12.03: Solving Quadratic Equations
12.3.01: Solve Quadratic Equations by Factoring
13: Graphing
13.01: Graphs and Applications
13.1.01: The Coordinate Plane
13.1.02: Graphing Linear Equations
13.02: Slope and Writing the Equation of a Line
13.2.01: Finding the Slope of a Line
13.2.02: Writing the Equation of a Line
13.2.03: Parallel and Perpendicular Lines
13.2.04: Graphing Linear Inequalities
14: Systems of Equations and Inequalities
14.01: Graphing Systems of Equations and Inequalities
14.1.01: Graphing Systems of Linear Equations
14.1.02: Graphing Systems of Inequalities
14.02: Algebraic Methods to Solve Systems of Equations
14.2.01: The Substitution Method
14.2.02: The Elimination Method
14.03: Systems of Equations in Three or More Variables
14.3.01: Solving Systems of Three Variables
15: Rational Expressions
15.01: Operations with Rational Expressions
15.1.01: Introduction to Rational Expressions
15.1.02: Multiplying and Dividing Rational Expressions
15.1.03: Adding and Subtracting Rational Expressions
15.1.04: Complex Rational Expressions
15.02: Rational Equations
15.2.01: Solving Rational Equations and Applications
15.03: Formulas and Variation
15.3.01: Rational Formulas and Variation
16: Radical Expressions and Quadratic Equations
16.01: Introduction to Roots and Rational Exponents
16.1.01: Roots
16.1.02: Squares Cubes and Beyond
16.1.03: Rational Exponents
16.02: Operations with Radicals
16.2.01: Multiplying and Dividing Radical Expressions
16.2.02: Adding and Subtracting Radicals
16.2.03: Multiplication of Multiple Term Radicals
16.2.04: Rationalizing Denominators
16.03: Radical Equations
16.3.01: Solving Radical Equations
16.04: Complex Numbers
16.4.01: Complex Numbers
16.4.02: Operations with Complex Numbers
16.05: Solving Quadratic Equations
16.5.01: Square Roots and Completing the Square
16.5.02: The Quadratic Formula
17: Functions
17.01: Introduction to Functions
17.1.01: Identifying Functions
17.02: Using Functions
17.2.01: Evaluating Functions
17.2.02: Graphing Types of Functions
17.2.03: Finding Domain and Range
17.03: Operations with Functions
17.3.01: Arithmetic Operations with Functions
18: Exponential and Logarithmic Functions
18.01: Exponential Functions
18.1.01: Introduction to Exponential Functions
18.02: Logarithmic Functions
18.2.01: Introduction to Logarithmic Functions
18.2.02: Properties of Logarithmic Functions
18.03: New Page
18.3.1: Introduction to Natural and Common Logarithms
18.04: New Page
18.4.1: Solving Exponential and Logarithmic Equations
18.4.2: Mathematical Modeling with Exponential and Logarithmic Functions
19: Trigonometry
19.01: Introduction to Trigonometric Functions
19.1.01: Identifying the Six Trigonometric Functions
19.1.02: Right Triangle Trigonometry
19.1.03: Unit Circle Trigonometry
19.02: Graphing Trigonometric Functions
19.2.01: Degree and Radian Measure
19.2.02: Graphing the Sine and Cosine Functions
19.2.03: Amplitude and Period