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 firstname.lastname@example.org 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: 900 and up ( 90% and up ) A
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 22nd. Description will be handed out at a later date.
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. “I was not here” is NOT a valid excuse.
Last Date to Withdraw: Thursday, March 3rd
This is the expected schedule of course content. Changes will be made as necessary, but will try to be avoided.
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 28th
2.1 Linear Functions and Models week 4
** Test #1: Chapter 1and section 2.1 Wed February 9th
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 28th & Mar 2nd
2.6 Linear approximation week 7 & 9
** Test #2: Chapter 2 Mon March 7th
** Group Work #3: Approximation – Height vs. Weight March 14th & 16th
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 6th & 4th
** Test #3: Chapter 5 Wed April 13th
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 25th
** Group Work #5: Linear Systems –Disaster Relief April 25th & 27th