** Course:** MATH
1101- 01, Mathematical Modeling - 3 credits PREREQUISITE:
NONE.

** Course Description:** This
course is an introduction to mathematical modeling using graphical, numerical,
symbolic, and verbal techniques to describe and explore real-world data and
phenomena. Emphasis is on the use of elementary functions to investigate and
analyze applied problems and questions, supported by the use of technology, and
effective communication of results.

** Learning
Outcomes:** Students should be able to:

1. Use graph, tables, and numerical descriptors to represent single variable data.

2. Represent functions with tables, graphs, equations, and function notation.

3. Understand how representation of data can be biased.

4. Calculate and interpret average rates of change.

5. Find a solution for a system of two linear equations.

6. Use systems of linear equations to model some social and physical phenomena.

7. Write expressions in scientific notation.

8. Simplify expressions using the rules of exponents.

9. Use exponential functions to model growth and decay phenomena.

10. Understand the basic properties of common and natural logarithms.

11. Develop a sense about the relationship between size and shape.

12. Recognize, evaluate, and graph quadratic functions.

__ __

** Instructor:** Mr.
Jim Bellon jbellon@westga.edu
office phone: 770) 836-4353

** Office & Hours:** Boyd,
room 330 Mon/Wed/Fri 8:30 - 9am, 11am - 12pm Thursday 11am –1pm

** Math-Lab Mon/Wed 3:30 – 5:00pm Thursday 2:30 – 5:00pm

** Class
Meets:** MWF 9:00 – 9:50 a.m. Room
303 Boyd Building

__Text:____College
Algebra through Modeling and Visualization__, by Gary Rockswold, 2nd edition,
2002.

A graphing calculator is required, preferably the Texas Instruments TI-83 (or TI-83 plus).

** Grading:** There
will be 3 class session tests (100 pts each), 1 group project (150 pts), a
comprehensive Final exam (200 pts), 10+ quizzes (best 6 will count for 15 pts
each, totaling 90 pts), classroom group work (totaling 160 pts), and 100 class
points. This totals 1000 points. Final grades will be determined as follows:

** 800
– 899 ( 80% to 89% ) B**

** 700
– 799 ( 70% to 79% ) C**

** 600
– 699 ( 60% to 69% ) D**

** 599
and below ( 59% and below ) F**

** Project:** Group
project (1 or 2 students) requiring data collection, calculations and
analysis. To be handed in by Wednesday March 31st. Description will be handed
out at a later date.

__ __

** Quizzes:** Expect
about 1 quiz every week lasting about 15 minutes (except during a test week).

** Group
work:** There will be 5 classroom group projects
with instructor guidance. Best 4 of 5 count, 40 points each.

** Class
Points:** The purpose of the class points is to
reward students for effort and not be based on math performance. Class points
can be obtained as follows: 2 pts. for each day present when attendance is
taken. Up to 10 pts. for each homework assignment completed and collected.

__ __

** Homework:** Homework
will be assigned for each textbook section. They will periodically be
collected and checked for effort. Collected work will count towards class
points.

** Final
Exam Date:** Wednesday, December 12th 8:00 –
10:00 a.m.

** Attendance
Policy:** Students are expected to attend class and complete
all work when assigned. Grades are not directly affected by absence. However,
the student is responsible for the topics covered and assignments due whether
present or not. “

__ __

__Last Date
to Withdraw:__*Friday, February 27 ^{th} *

This is the expected schedule of course content. Changes will be made as necessary, but will try to be avoided.

__Tentative
dates__

__ __

1.1 Numbers, Data, and Problem Solving week 1

1.2 Visualization of Data (ignore Distance formula) week 1 & 2

(and Handout: Grouping and Summarizing One-Variable Data using Graphs)

1.3 Functions and Their Representations week 2

1.4 Types of Functions and Their Rates of Change week 2 & 3

**** Group Work #1:
Functions – Taking a trip to Europe Fri September 10 ^{th}
**

2.1 Linear Functions and Models week 4

** **

**** Test #1: Chapter
1and section 2.1 Mon September 20 ^{th}**

2.2 Equations of Lines week 5

2.3 Linear Equations and Solutions week 6

2.5 Piecewise-defined Functions (ignore absolute value pg127-132) week 6

**** Group Work #2:
Piecewise Functions – Graduated taxes Oct 4 ^{th} & 6^{th}
**

2.6 Linear approximation week 7

**** Group Work #3:
Approximation – Height vs. Weight Oct 11 ^{th}
& 13^{th}**

**** Test #2: Chapter
2 Mon October
18 ^{th}**

5.3 Exponential Functions and Models week 9

5.7 Constructing Nonlinear Models (exponential model only) week 9

5.4 Logarithmic Functions and Models week 10

5.5 Properties of Logarithms week 10

5.6 Exponential and Logarithmic Equations week 11

**** Group Work #4:
Logarithms – Noise and Music Fri November 5 ^{th}**

**** Test #3: Chapter
5 Wed November
10 ^{th}**

6.1 Functions/Equations of Two Variables (ignore joint variation) week 12

6.2 Linear Systems of Equations and Inequalities week 13

**** Group Work #5:
Linear Systems –Disaster Relief Mon November 22 ^{nd} **

** Handout: Measuring the Universe week 14

(Metric System, Converting Units, Order of Magnitude)

Our last week will consist of mainly any leftover material, review of material, and a day of fun.