**Introduction:**

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

Math 114, which fulfills the university mathematics requirement, is designed for liberal arts majors who currently do not intend to take additional courses in mathematics. For several weeks, the course will focus on statistics. Descriptive statistics, the normal distribution, and confidence intervals will be studied. The purpose of this unit is to provide the student with an understanding of some of the tools that are used to analyze data and make informed decisions in the workplace, in research and in everyday situations. The remainder of the course emphasizes algebra, the application of mathematics and mathematical modeling. Students will use various functions to model and analyze data. The connections between algebraic and graphical representations of functions and statistical concepts will be stressed throughout the course.

An important goal of this course is to illustrate the importance of mathematics in a variety of fields. Fields such as art, political science, criminology, psychology and anthropology are just a few examples where mathematics is routinely integrated.. Students should be aware that even though they may currently be studying subjects that are not primarily mathematical or statistical, they may encounter these mathematical procedures and ideas.

For most students, this will be their first experience in a university mathematics course. High school and university courses are very different, especially in mathematics. Some of the differences are:

The pace of the course is considerably faster than most high school courses.

Classes meet a total of about three hours per week.

During the fall and spring semesters when many sections are offered, common exams are administered in the evenings.

The grading scale is fixed – there is no "curving".

Instructors cover the entire curriculum at a pre-determined pace.

Appropriate prerequisite skills and understandings for this course are required for success in this course. Details are discussed in the course prerequisites below. Students who need to review algebra should register for M010.**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.

- Statistics
- Populations, Samples, and Data
- Random Samples
- Histograms and Frequency Distributions
- Graphs
- Stem and Leaf Displays
- Mode, Median, Mean
- Measures of Variation
- Box-and-Whisker Plots
- Graphs of Normal Probability Distributions
- The Standard Normal Probability Distribution
- Areas Under Any Normal Curve
- Sampling Distributions
- The Central Limit Theorem
- Estimating Known Samples
- College Algebra
- Linear Equations
- Mathematical Modeling
- Linear Inequalities
- Lines in the Plane
- Linear Modelling and REgression
- Functions
- Graphs of Functions
- Quadratic Equations
- Quadratic Formula
- Quadratic Functions and Modeling
- Exponential Functions
- Logarithmic Functions
- Properties of Logarithms
- Solving Exponential and Logarithmic Equations
- Exponential and Logarithmic Modeling
- Systems of Equations
- Linear Systems
- Systems of Linear Inequalities
- Linear Programming

**Required Math Placement Test Level: M, P, S, B, C**

It is assumed that Math 114 students have a basic knowledge of arithmetic and algebra. This includes operations with signed numbers, operations with fractions, basic factoring, operations with polynomials and rational expressions, radicals, working with linear and quadratic functions (including associated equations), and linear inequalities. Students who lack this background should consider changing their enrollment to Math 010 (Intermediate Algebra).

Experience has shown those students who enroll without these important algebra skills and understandings will not succeed. Several resources are listed below and can help describe these algebraic skills and understandings in more detail.

Math 010 (Intermediate Algebra) information page

Brase and Brase, Understanding Basic Statistics, Houghton Mifflin, Fifth Edition.

Larson, Hostetler, Hodgkins, College Algebra: Concepts and Models, Houghton Mifflin, Fifth Edition.

Assessment activities generally include exams, quizzes, group work or other course activities as determined by the instructor. Since this is a multi-section class, usually three common exams and a common cumulative final are administered. An example of the types of course activities can be found in the sample or current syllabus.

Math Tutorial Site:

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

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

Georgetown Campus:

Nancy S. Hall - nhall [at] udel [dot] edu

Norman Passmore - passmore [at] udel [dot] edu

John Anderson - jandersn [at] udel [dot] edu

William Boyer - 06127 [at] udel [dot] edu

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Math 114

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