# Introduction to the Mathematical Sciences

**Overview of the Course / Course Description**

This course integrates the study of algebra, statistics
and computing. Topics include

functions, graphical and tabular analysis, rate of change , syntax and semantics,
the

process of computing, data manipulation, sampling, statistical measures, basic

probability, correlation. Examples are drawn from a wide range of disciplines
and

content will be taught within the framework of discipline-specific
examples. Students

will learn to use the software package Microsoft Excel. The prerequisite is MATH
0800.

**Course Prerequisites**

The prerequisite is MATH 0800 with a grade of C or higher or consent of instructor.

**Liberal Education Requirement at BSU**

This course meets the liberal education requirement at BSU in Category 4.

**Course Structure**

Introduction to the Mathematical Sciences will be taught
in a laboratory environment.

The course is 3 credits and will meet 3 times per week for two hour sessions.
The

sessions will be a mix of lecture, individual work, and group work . Student
participation

and activity learning will be stressed.

**Homework Policy**

• Homework will be assigned throughout the semester and
students are expected to

complete homework outside of class time, although sometimes students will be

given opportunities to work on the homework during class time. Students may

work on homework individually and in group settings.

• Students are encouraged to discuss the homework assignments with each other as

well as with the faculty. Students can learn a lot from their peers.

**Required text(s), materials, and software**

• Access to the software package Microsoft Excel

o Microsoft Excel is found in all BSU student computer laboratories.

• A 256 MB or greater travel drive.

**Learning Objectives / Course Objectives**

Students will be learn basic algebra, statistics, and
technology skills within the context of

university wide discipline specific topics. Students will gain basic
proficiencies with

using Microsoft Excel to solve problems in the mathematical sciences.

The following topics will be covered in the course. The amount of detail and
rigor of

each topic included in the course will vary depending on the topic and level of

presentation.

• Algebra Topics

o Functions

Functions given by formulas

Functions given by tables

Functions given by graphs

Functions given by words

o Graphical and Tabular Analysis

Tables and trends

Graphs

Solving linear equations

o Linear Functions

The geometry of lines ( slope /intercept)

Modeling data with linear functions

Direct Variation

Linear regression

o Other Common Functions

Multiple representations

Modeling data

Graphical solutions to systems of equations

• Technology Topics

o Syntax and Semantics

o Understanding Processes

o The notion of a “ variable ” in computing

o Formulas and expressions

o Making decisions

o Using functions

• Statistics Topics

o Collecting and displaying data in tabular and graphical format

o Types of data

o Measures of central tendency

o Measures of dispersion

o Shapes of distributions

o Correlation and association

o Brief introduction to linear regression

**Course Requirements and Grading Scheme**

All quizzes and tests must be completed on time unless
arrangements have been made

prior to a quiz or test. Quizzes will be given frequently and they may be
unannounced.

There will be four exams during the semester and one final exam. The final exam
is on

Friday, May 11 from 8:00 to 10:00 AM.

Grade Calculations |
Percentages |

Homework/Projects/Attendance | 20% |

Quizzes | 15% |

Exams I, II, III, and IV | 40% |

Final Exam | 25% |

Grading Scale for Course

Grade |
Points Range |

A | [90%, 100%] |

B | [80%, 90%) |

C | [70%, 80%) |

D | [60%, 70%) |

F | [0, 60%) |

**University Policies & Procedures**

**Incomplete:** An incomplete (I) grade will only be given in
**documented** emergency

situations. Bemidji State University policies will be followed.

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