Math 115

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​Introduction: The information presented here is intended to describe 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.

The following information applies to the Newark campus. For information about this course offered at the satellite campuses, see the contacts at the bottom of this web page.

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.

The most updated Course Description can be found at the UD Course Description Search. Information on the sections currently offered can be found at the UD Course Search. Additional information about Math 115 offered in the recent semesters can be found in the Math 115 Departmental Syllabus​.

Additional Course Description: Math 115 - Precalculus, is an in-depth study of functions. Several function classes are studied, including linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions. Within each function class, core features are emphasized, including the basic form and graph, domain and range, and intercepts. Strategies for solving equations, inequalities, and applications involving the function are also developed. Both algebraic and graphical techniques will be used throughout the course. Appropriate prerequisite skills and understandings for this course are required for success in this course. Usually several sections of this course are offered during the fall and spring semesters.

Math 115 is designed to prepare students for Math 221 - Calculus I. Students who plan to take Math 241 - Analytic Geometry and Calculus A should not take Math 115. Rather, they should enroll in either Math 117 - Precalculus for Scientists and Engineers, or Math 231 - Integrated Calculus I. Students who are unsure of the mathematics requirements for their major may wish to consult their advisor; Math 113 or Math 114 might be more appropriate. For more details on the relationship between these courses, please see our page on Foundational Mathematics Courses.

Course Content: In a typical semester, the following function classes are studied:

  1. Linear
  2. Exponential
  3. Logarithmic
  4. Quadratic
  5. Polynomial
  6. Rational
  7. Trigonometric

Within each function class, some or all of the following central features are emphasized.

  • Algebraic definition
  • Graphs and basic features including domain, range, intercepts, and asymptotes
  • Transformations
  • Compositions
  • Inverses
  • Solving equations or inequalities
  • Applications

Required Math Placement Test Level: 60 or above, or a grade of C- or better in Math 010. ​For more information regarding math placement, please see the Math Placement Exam webpage.

Additional Prerequisite Discussion: A strong algebra background is critical for success in this course. Experience has shown those students who enroll without the appropriate math background are less likely to succeed. Students who need to review algebra should register for Math 010 Intermediate Algebra. A grade of C- or better is required in Math 010 to enroll in Math 115 if the required math placement level is not attained.

Course Materials: The following course materials are usually required in this course:

  • Online math program for homework, access to the textbook, and testing
  • Course pack that includes class activities

Information regarding calculators will be announced in class. Students should always check with their instructor before purchasing any course materials.

Course Format: On the Newark campus during the regular semesters, Math 115 is taught in the Mathematical Sciences Learning Lab (MSLL). During much of the class, students work in small groups on activities that focus on concepts and connections between ideas. Students practice outside of class using an online homework system.

During the fall and spring semesters, the class meets three hours per week. Typically, there are two out-of-class midterm exams and a cumulative final exam taken during Final Exam week.

During the shorter sessions (winter and summer), the course may have a different schedule and may have different course activities and assessments. See Course Sections for sections currently offered.

Tutorial Resources: There are several campus resources that provide additional assistance.

  • Mathematical Sciences Learning Laboratory (MSLL) Open Lab: MSLL Open Lab provides free tutorial support for this course. The lab is staffed by qualified undergraduate students. This is a drop-in site - no appointment is needed. Students can work on their math homework, study for a math quiz or exam, and receive free tutorial assistance. More information can be found on the webpage: MSLL Open Lab
  • ​Office of Academic Enrichment: Located at 148-150 South College Avenue, this site provides a number of different course resources for students. Please visit their website​ 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.

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​Content updated in May

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