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Math 010



The information and materials presented here are intended to provide a description of the course goals for current and prospective students as well as others who are interested in our courses. It is not intended to replace the instructional policies and course materials presented in class. 

Every effort is made to update this information on a routine basis. However, if you have questions about enrollment, purchasing materials, and prerequisite skills, please check with your advisor or instructor.

Course Description

Current Sections

​Additional Course Description: 

This is a non-college credit mathematics course designed to help you prepare for future mathematics courses, specifically Math 115, Math 117 and Math 114. In this course you will have the opportunity to acquire both a conceptual and procedural understanding of algebra. This knowledge will serve you well because 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 (it is a remedial course), your course grade does appear on your transcript and will indicate your efforts toward acquiring a degree at the University of Delaware.

The major goals of this course are to:

  1.     Improve your algebraic skills and understandings
  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

Course Content: 

The following list illustrates the topics intended for coverage in a typical semester. Your instructor may cover these topics in a different order or may add topics if necessary.

  •     Some Basics of Algebra
    •         Operations and Properties of Real Numbers
    •         Solving Equations
    •         Introduction to Problem Solving
    •         Formulas, Models, and Geometry
    •         Properties of Exponents
  •     Graphs and Functions
    •         Graphing Relations
    •         Functions
  •     Linear Functions: Slopes, Graphs and Models
    •         Equations of Lines
  •     Systems of Equations in Two Variables
    •         Solving by Substitution or Elimination
  •     Inequalities
    •         Linear Inequalities and Applications
    •         Intersections, Unions and Compound Inequalities
    •         Absolute-Value Equations and Inequalities
  •     Introduction to Polynomials and Polynomial Functions
    •         Multiplication of Polynomials
    •         Common Factors and Factoring by Grouping
    •         Factoring Trinomials
    •         Factoring Perfect-Square Trinomials and Differences of Squares
    •         Factoring Sums and Differences of Cubes
    •         Applications of Polynomial Equations
  •     Rational Expressions and Functions
    •         Multiplying and Dividing
    •         Adding and Subtracting
    •         Complex Rational Expressions
    •         Solving Applications Using Rational Equations
    •         Division of Polynomials
    •         Synthetic Division
  •     Radical Expressions and Functions
    •         Rational Numbers as Exponents
    •         Multiplying and Dividing Radical Expressions
    •         Adding and Subtracting Radical Expressions
    •         Geometric Applications
  •     Quadratic Functions and Equations
    •         Quadratic Equations
    •         The Quadratic Formula
    •         Applications Involving Quadratic Equations
    •         Quadratic Functions and their Graphs
    •     Distance and midpoint formula

Current Syllabus: General Syllabus - Fall 2012 

Links to sample exams: Exam 1 - 11F Exam 2 - 11F  Exam 3 - 11F  Final Exam - 11F  Key Exam 1 - 11F  Key Exam 2 - 11F  Key Exam 3 - 11F  Key Final Exam - 11F 

Required Math Placement Test Level: G For more information regarding math placement please see the Math Placement Exam page.

Additional Prerequisite Discussion: 

In order to succeed in this course, students must have some basic algebra and arithmetic skills. Experience has shown those students who enroll without some basic knowledge will not succeed. 

The following document indicates the types of problems you should be able to complete. Much of this material is covered in an arithmetic or Algebra I high school math course. However, high school curriculums vary so you may find this document helpful when making a decision.

If you do not have these skills or need more information, you may need to enroll in a community college math course with a course title of Algebra.

Prerequisite Skills Example Document: MATH 010 Prerequisite Skills Examples 

Textbooks: The following are the textbooks typically used in this course. Other University of Delaware campuses may use different textbooks. Students should wait until the first day of class to ensure the appropriate textbook and other course materials are purchased.

Lial, Hornsby, and McGinnis, Intermediate Algebra, 11th edition, Pearson.

Miller, O'Neill, Hyde, Intermediate Algebra, McGraw-Hill, Third edition with MathZone software.

Calculator Requirement: 

A scientific calculator is required. Graphing calculators such as the TI-83 or TI-83 plus are optional and may be allowed on exams and other course assessments. Graphing calculators are required in many of the one-hundred level courses so students may want to think about becoming familiar with the graphing calculator as they work through this material.

Course Format: 

Fall/Spring semester: In most cases, during the fall and spring semesters, course meets three hours per week in either a MWF or Tues/Thur course format.

Assessment activities generally include tests or quizzes or other course activities as determined by the instructor. The number of exams can vary but it generally two or three exams and a final exam. Usually a cumulative final exam is administered and may be a common final if a number of sections of the course are offered. Other assessment activities such as quizzes, textbook assignments may also be required. An example can be found in the sample or current syllabus.

Tutorial Resources: 

​There are several campus resources that provide additional assistance.​

Math Tutorial Site: Located in 053 McKinly Lab, this site provides free drop-in tutorial assistance for students enrolled in this course. It is staffed by qualified math and math education majors. Students are encouraged to use this resource to get assistance on mathematical questions. More information about the Math Tutorial Site can be found at the webpage: Tutorial Lab

​Academic Enrichment Center: Located at 148-150 South College Avenue, this site provides a number of different course resources for students. Please visit their web site for more information:

Satellite Campus Information: Students enrolled at other campuses should contact the math faculty for the specific campus for additional information about this course.

Dover Campus: Carla C. Morris - cmorris [at] udel [dot] edu

Georgetown Campus: Norman Passmore - passmore [at] udel [dot] edu

Wilmington Campus: John Anderson - jandersn [at] udel [dot] edu

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Math 010
  • Department of Mathematical Sciences
  • University of Delaware
  • 501 Ewing Hall
  • Newark, DE 19716, USA
  • Phone: 302-831-2653