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Foundational Mathematics Courses

The Foundational Math Course Program


Understanding and applying mathematics and learning mathematical skills and procedures is an important aspect of a student's education. Almost all college students need to complete a math course to fulfil a math requirement for their major or they need to take a math course to review or learn math skills needed to succeed in another higher level math course. The Department of Mathematical Sciences has an extensive math program for students who need to enroll in one hundred level math courses and Intermediate Algebra (the Foundational Math Program). 

The first step to the successful completion of these math courses is to make sure students have the appropriate mathematics background for their math course. To that end, the Math Placement Program assists advisors and students in making an appropriate enrollment choice. Information about this placement program can be found he​re.

The chart below indicates the sequencing of the foundational mathematics courses. For example, if a student is interested in calculus but places into precalculus, then the student should register for Math 117 or Math 115 depending on which calculus is required for their major. Those who just need to complete a one hundred level math course could register for Math 114 (with appropriate placement) or possibly Math 113 depending on the student's major requirements. Math 115 may also be appropriate depending on a student program of study. 

The following chart indicates how the various math courses are associated. For instance, Math 010 Intermediate Algebra provides the necessary skills for Math 114, Math 115 and Math 117.

Informal Course Descriptions for Math010 and the 100 Level Math Courses:

Math 010 Intermediate Algebra:  This course carries no college credit and is designed to review Intermediate Algebra concepts and skills. These skills are prerequisite to most mathematics courses and also required for many other disciplines. Topics include a review of sets and set operations, operations with polynomials and rational expressions, solving various types of equations and inequalities and an introduction to graphing on the coordinate plane and functions. Students who place into Math 010 are strongly urged to take this course prior to enrolling in any one-hundred level math course with the exception of Math 113. Arithmetic and algebra skills are prerequisite requirements. 

Math 113 Contemporary Mathematics: This course solves a variety of real-world applications using mathematical methods that de-emphasize algebraic methods. Topics include descriptive and inferential statistics, probability, management science, optimization via analysis of models, coding information, social choice and decision-making, and size and shape. Since it does not require extensive algebraic skills, a Level G placement is sufficient. This is a terminal math course and does not prepare students for further study in mathematics or sciences. 

Math 114 College Mathematics and Statistics: This course is used to satisfy the mathematics requirement for several degree programs in several colleges. Topics include statistics, linear modeling and applications, quadratic modeling and applications, exponential functions and their applications, and logarithmic functions and their applications. It is a terminal math course and will not prepare students for further mathematics courses. A Level M or higher placement is required. Prerequisites include Intermediate Algebra or its equivalent.

Math 115 Precalculus: This course is designed to prepare students for Math 221. Topics include the study of functions, linear functions and their applications, quadratic functions, polynomial and rational functions, radical functions, exponential and logarithmic functions and trigonometric functions. Equations and inequalities and their solutions are also emphasized. A Level P placement is required. Prerequisites include Intermediate Algebra or its equivalent.

Math 117 Precalculus for Scientists and Engineers: ​This course is designed to prepare students for Math 241 Analytic Geometry and Calculus A. A discussion of functions and their applications provides the foundation for the course. Function types are explored including linear, quadratic, polynomial, rational, radical, exponential, logarithmic and trigonometric. All Math 115 topics are covered as well as additional topics in trigonometry, linear systems, and non-linear systems. A Level S or higher is required for enrollment.

Math 221 Calculus I:

Math 241 Analytical Geometry and Calculus A:​
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Foundational Mathematics Courses
  • Department of Mathematical Sciences
  • University of Delaware
  • 501 Ewing Hall
  • Newark, DE 19716, USA
  • Phone: 302-831-2653