Math 010 - Intermediate Algebra
Course Information

Text Typically Used:

Intermediate Algebra, Concepts and Applications, Seventh Edition
Marvin A. Bittinger & David J. Ellenbogen
Addison Wesley, 2006
Note: A graphing or scientific calculator is required for this course.
Do not purchase until confirmed by the instructor.

Course Content:

This is a non-credit mathematics course designed to help you prepare for future mathematics courses. Placement in this course means you will have the opportunity to acquire both a conceptual and procedural understanding of algebra. This knowledge will serve you well since algebra is the basic language through which all mathematical and scientific concepts are communicated. While this course does not count toward your required credits for graduation, your course grade does appear on your transcript, and will indicate your efforts toward acquiring a degree at the University of Delaware.

Your goals as you study Intermediate Algebra should be to:

1. Improve your algebraic skills;
2. Be able to read, interpret, and construct graphs;
3. Improve your problem-solving skills;
4. Develop your ability to read and learn mathematics from a textbook;
5. Learn more about where and how mathematics is used in the real world;

Final Exam

Sample M010 Final Exam (requires the free Acrobat Reader software installed)

Sections and Topics Covered:

1.1

Some Basics of Algebra

1.2

Operations and Properties of Real Numbers

1.3

Solving Equations

1.4

Introduction to Problem Solving

1.5

Formulas, Models, and Geometry

1.6

Properties of Exponents

1.7

Scientific Notation

2.1

Graphs

2.2

Functions

2.3

Linear Functions: Slopes, Graphs and Models

2.4

Another Look at Linear Graphs

2.5

Other Equations of Lines

3.1

Systems of Equations in Two Variables

3.2

Solving by Substitution or Elimination

3.3

Solving Applications: Systems of Two Equations

4.1

Inequalities and Applications

4.2

Intersections, Unions and Compound Inequalities

4.3

Absolute-Value Equations and Inequalities

4.4

Inequalities in Two Variables

5.1

Introduction to Polynomials and Polynomial Functions

5.2

Multiplication of Polynomials

5.3

Common Factors and Factoring by Grouping

5.4

Factoring Trinomials

5.5

Factoring Perfect-Square Trionomials and Differences of Squares

5.6

Factoring Sums and Differences of Cubes

5.7

Factoring: A General Strategy

5.8

Applications of Polynomial Equations

6.1

Rational Expressions and Functions: Multiplying and Dividing

6.2

Rational Expressions and Functions: Adding and Subtracting

6.3

Complex Rational Expressions

6.4

Rational Equations

6.5

Solving Applications Using Rational Equations

6.6

Division of Polynomials

6.7

Synthetic Division

6.8

Formulas, Applications and Variation (NOTE: Variation is not covered)

7.1

Radical Expressions and Functions

7.2

Rational Numbers as Exponents

7.3

Multiplying Radical Expressions

7.4

Dividing Radical Expressions

7.5

Expressions Containing Several Radical Terms

7.7

Geometric Applications

8.1

Quadratic Equations

8.2

The Quadratic Formula

8.3

Applications Involving Quadratic Equations

8.4

Studying Solutions of Quadratic Equations

8.6

Quadratic Functions and their Graphs

8.7

More About Graphing Quadratic Functions

10.1

Conic Sections: Parabolas and Circles (Only distance and midpoint formulas required)

11.1

Sequences and Series