** Course:** MATH
1101- 01, Intro to 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 linear equations and inequalities.

6. Use 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. Use basic Linear Programming techniques to solve problems.

__ __

** Instructor:** Mr.
Jim Bellon jbellon@westga.edu
office phone: 678) 839-4140

** Office & Hours:** Boyd,
room 330 Mon/Wed 8:30 - 9am, 10 – 11am, 3:15 – 4pm Friday 8:30 - 9am, 10
– 11am

Thurs 2 – 3pm **** Math-Lab: Mon 4 – 6pm, Wed 4 – 5:30pm, Thurs 3 – 5:30pm

** Class
Meets:** MWF 9:00 – 9:50 a.m. Room 301 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 major project (150 pts), a
comprehensive Final exam (200 pts), 10 quizzes (best 6 will count for 15 pts
each, totaling 90 pts), classroom group problems (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:** Major
project (1 or 2 students) requiring data collection, calculations and
analysis. To be handed in by Friday April 22

__ __

** Quizzes:** Expect
about 1 quiz every week lasting about 15-20 minutes (except during a test
week).

** Group problems:** There
will be 5 classroom group problems with instructor guidance. Best 4 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 HW collected. Up to 15 points for organized
notes. Up to 10 points for WebCT.

__ __

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

** Final
Exam Date:** Wednesday, May 4th 8:00 – 10:00 a.m. in our classroom 301

** 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:__*Thursday, March 3 ^{rd} *

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 & 3

1.4 Types of Functions and Their Rates of Change week 4

**** Group Problem
#1: Functions – Taking a trip to Europe Fri January 28 ^{th} **

2.1 Linear Functions and Models week 4

** **

**** Test #1: Chapter
1and section 2.1 Wed February 9 ^{th}**

2.2 Equations of Lines week 5 & 6

2.3 Linear Equations and Solutions week 6 & 7

** Handout: Piecewise Functions (graduated taxes) week 7

**** Group Work #2:
Piecewise Functions – Graduated taxes Feb 28 ^{th} & Mar 2^{nd}
**

2.6 Linear approximation week 7 & 9

**** Test #2: Chapter
2 Mon March 7 ^{th}**

** **

**** Group Work #3:
Approximation – Height vs. Weight March 14 ^{th}
& 16^{th}**

5.3 Exponential Functions and Models week 9, 10 & 11

5.4 Logarithmic Functions and Models week 11

5.5 Properties of Logarithms week 11 & 12

5.6 Exponential and Logarithmic Equations week 12

**** Group Work #4:
Logarithms – Noise and Music April 6 ^{th }& 4^{th}**

**** Test #3: Chapter
5 Wed April 13 ^{th}**

6.1 Functions/Equations of Two Variables (ignore joint variation) week 13 & 14

6.2 Linear Systems of Equations and Inequalities week 14

**** MAJOR PROJECT
DUE Mon April 25 ^{th}
**

**** Group Work #5:
Linear Systems –Disaster Relief April 25 ^{th} & 27^{th}
**