Basic College Mathematics with Early Integers

Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.   Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”–as they prepare for a test–along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.   Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has also published series in Algebra 1, Algebra 2, and Geometry.  She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.  

1. The Whole Numbers

    1.1 Study Skill Tips for Success in Mathematics

    1.2 Place Value, Names for Numbers, and Reading Tables

    1.3 Adding Whole Numbers and Perimeter

    1.4 Subtracting Whole Numbers

    1.5 Rounding and Estimating

    1.6 Multiplying Whole Numbers and Area

    1.7 Dividing Whole Numbers

    1.8 An Introduction to Problem Solving

    1.9 Exponents, Square Roots, and Order of Operations

2. Integers and Introduction to Variables

    2.1 Inroduction to Variables and Algebraic Expressions

    2.2 Introduction to Integers

    2.3 Adding Integers

    2.4 Subtracting Integers

    2.5 Multiplying and Dividing Integers

    2.6 Order of Operations

3. Fractions and Mixed Numbers

    3.1 Introduction to Fractions and Mixed Numbers

    3.2 Factors and Simplest Form

    3.3 Multiplying and Dividing Fractions

    3.4 Adding and Subtracting Like Fractions, Least Common Denominator and Equivalent Fractions

    3.5 Adding and Subtracting Unlike Fractions

    3.6 Complex Fractions, Order of Operations, and Mixed Numbers

    3.7 Operations on Mixed Numbers

4. Decimals

    4.1 Introduction to Decimals

    4.2 Adding and Subtracting Decimals

    4.3 Multiplying Decimals and Circumference of a Circle

    4.4 Dividing Decimals

    4.5 Fractions, Decimals, and Order of Operations

    4.6 Square Roots and the Pythagorean Theorem

5. Ratio, Proportion, and Measurement

    5.1 Ratios

    5.2 Proportions

    5.3 Proportions and Problem Solving

    5.4 Length: U.S. and Metric Systems of Measurement

    5.5 Weight and Mass: U.S. and Metric Systems of Measurement

    5.6 Capacity: U.S. and Metric Systems of Measurement

    5.7 Conversions Between the U.S. and Metric Systems

6. Percent

    6.1 Percents, Decimals, and Fractions

    6.2 Solving Percent Problems Using Equations

    6.3 Solving Percent Problems Using Proportions

    6.4 Applications of Percent

    6.5 Percent and Problem Solving: Sales Tax, Commision, and Discount

    6.6 Percent and Problem Solving: Interest

7. Statistics and Probability

    7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs

    7.2 Reading Circle Graphs

    7.3 Mean, Median, and Mode

    7.4 Counting and Introduction to Probability

8. Introduction to Algebra

    8.1 Introduction to Variables

    8.2 Solving Equations: The Addition Property

    8.3 Solving Equations: The Multiplication Property

    8.4 Solving Equations Using Addition and Multiplication Properties

    8.5 Equations and Problem Solving

9. Geometry

    9.1 Lines and Angles

    9.2 Plane Figures and Solids

    9.3 Perimeter

    9.4 Area

    9.5 Volume and Surface Area

    9.6 Congruent and Similar Triangles

 

Appendices

Appendix A: Tables

Appendix B: Exponents and Polynomials

Appendix C: Inductive and Deductive Reasoning