Basic College Mathematics Book

1. Whole Numbers

1.1 Standard Notation

1.2 Addition

1.3 Subtraction

1.4 Multiplication

1.5 Division

1.6 Rounding and Estimating; Order

1.7 Solving Equations

1.8 Applications and Problem Solving

1.9 Exponential Notation and Order of Operations

2. Fraction Notation: Multiplication and Division

2.1 Factorizations

2.2 Divisibility

2.3 Fractions and Fraction Notation

2.4 Multiplication and Applications

2.5 Simplifying

2.6 Multiplying, Simplifying, and Applications

2.7 Division and Applications

3. Fraction Notation and Mixed Numerals

3.1 Least Common Multiples

3.2 Addition and Applications

3.3 Subtraction, Order, and Applications

3.4 Mixed Numerals

3.5 Addition and Subtraction Using Mixed Numerals; Applications

3.6 Multiplication and Division Using Mixed Numerals; Applications

3.7 Order of Operations; Estimation

4. Decimal Notation

4.1 Decimal Notation, Order, and Rounding

4.2 Addition and Subtraction

4.3 Multiplication

4.4 Division

4.5 Converting from Fraction Notation to Decimal Notation

4.6 Estimating

4.7 Applications and Problem Solving

5. Ratio and Proportion

5.1 Introduction to Ratios

5.2 Rates and Unit Prices

5.3 Proportions

5.4 Applications of Proportions

5.5 Geometric Applications

6. Percent Notation

6.1 Percent Notation

6.2 Percent and Fraction Notation

6.3 Solving Percent Problems Using Percent Equations

6.4 Solving Percent Problems Using Proportions

6.5 Applications of Percent

6.6 Sales Tax, Commission, and Discount

6.7 Simple and Compound Interest; Credit Cards

7. Data, Graphs, and Statistics

7.1 Averages, Medians, and Modes

7.2 Tables and Pictographs

7.3 Bar Graphs and Line Graphs

7.4 Circle Graphs

8. Measurement

8.1 Linear Measures: American Units

8.2 Linear Measures: The Metric System

8.3 Converting Between American Units and Metric Units

8.4 Weight and Mass; Medical Applications

8.5 Capacity; Medical Applications

8.6 Time and Temperature

8.7 Converting Units of Area

9. Geometry

9.1 Perimeter

9.2 Area

9.3 Circles

9.4 Volume

9.5 Angles and Triangles

9.6 Square Roots and the Pythagorean Theorem

10. Real Numbers

10.1 The Real Numbers

10.2 Addition of Real Numbers

10.3 Subtraction of Real Numbers

10.4 Multiplication of Real Numbers

10.5 Division of Real Numbers and Order of Operations

11. Algebra: Solving Equations and Problems

11.1 Introduction to Algebra

11.2 Solving Equations: The Addition Principle

11.3 Solving Equations: The Multiplication Principle

11.4 Using the Principles Together

11.5 Applications and Problem Solving