Basic College Mathematics with Early Integers

About our author 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 13 published textbooks and a new Interactive Assignment MyLab® Math course, 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 the broadest range of educational materials: textbooks, videos, tutorial software, and courseware. This provides an opportunity of various combinations for an integrated teaching and learning package offering great consistency for the student.

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

Integrated Review – Operations on Whole Numbers


1.8 An Introduction to Problem Solving
1.9 Exponents, Square Roots, and Order of Operations


Integers and Introduction to Variables

2.1 Introduction to Variables and Algebraic Expressions
2.2 Introduction to Integers
2.3 Adding Integers
2.4 Subtracting Integers

Integrated Review - Integers


2.5 Multiplying and Dividing Integers
2.6 Order of Operations


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

Integrated Review – Summary on Fractions and Operations on Fractions


3.5 Adding and Subtracting Unlike Fractions
3.6 Complex Fractions, Order of Operations, and Mixed Numbers
3.7 Operations on Mixed Numbers


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

Integrated Review – Operations on Decimals


4.5 Fractions, Decimals, and Order of Operations
4.6 Square Roots and the Pythagorean Theorem


Ratio, Proportion, and Measurement

5.1 Ratios
5.2 Proportions
5.3 Proportions and Problem Solving

Integrated Review – Ratio and Proportion


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

Integrated Review – Percent and Percent Problems


6.4 Applications of Percent
6.5 Percent and Problem Solving: Sales Tax, Commision, and Discount
6.6 Percent and Problem Solving: Interest


Reading Graphs and Introduction to Statistics and Probability

7.1 Pictographs, Bar Graphs, Histograms, and Line Graphs
7.2 Circle Graphs

Integrated Review – Reading Graphs


7.3 Mean, Median, Mode, and Range
7.4 Counting and Introduction to Probability


Introduction to Algebra

8.1 Introduction to Variables
8.2 Solving Equations: The Addition Property
8.3 Solving Equations: The Multiplication Property

Integrated Review – Expressions and Equations


8.4 Solving Equations Using Addition and Multiplication Properties
8.5 Equations and Problem Solving


Geometry

9.1 Lines and Angles
9.2 Plane Figures and Solids
9.3 Perimeter
9.4 Area
9.5 Volume and Surface Area

Integrated Review – Geometry Concepts


9.6 Congruent and Similar Triangles



Appendices

A. Tables
B. Exponents and Polynomials
C. Inductive and Deductive Reasoning