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.

Grading Scale for Course

University Policies & Procedures

Incomplete: An incomplete (I) grade will only be given in documented emergency
situations. Bemidji State University policies will be followed.