Elementary Mathematical Modeling

MATH 104, Section 5
Spring Semester 2008

 

Instructor

John I. Moore, Jr. Phone:  843-953-7882
Office:  Thompson Hall 230       E-mail:  john.moore@citadel.edu

 

Course Description

This course will introduce the student to mathematical models of real world problems. In particular, students will use graphs, functions, and tables to describe data and use the models to interpolate and extrapolate. Functions studied will include linear, quadratic, and exponential. Students will be expected to interpret results in writing and use technology to solve and display results.

 

Textbook

Mary Ellen Davis and C. Henry Edwards, Elementary Mathematical Modeling: Functions and Graphs (Citadel Edition), Prentice-Hall, 2001.

Also:  Course Notes and Handouts

 

Calculator

TI-83 Plus or TI-84

 

Grading

The final grade for the course is based on 6 grades as follows:

 

Miscellaneous Grading Policies

  1. Homework will be assigned but not collected. However, daily quizzes will come directly from the homework assignments.
     
  2. Class attendance and participation can influence borderline grades.
     
  3. A total of six absences will result in a course grade of F. With respect to this policy, three lates count as an absence. In addition, if you are late by 15 minutes or more, you will be considered absent.
     
  4. Incomplete grades are given only in unusual circumstances. Consult the college catalog for policy on incomplete work.
     

Class Schedule

Tuesday-Thursday, 8:00-9:15 a.m., Thompson Hall 319.

 

Office Hours

Monday 1:00-3:00 p.m.
Tuesday 1:00-3:00 p.m.
Wednesday  10:00-12:00 a.m.
Thursday 1:00-3:00 p.m.
Other times by appointment

 

Important Dates

Jan. 29 Test 1 (Chapter 1)
Feb. 19 Test 2 (Chapter 2 plus Sections 3.1-3.2)
Mar. 5 Last day to withdraw with a grade of “W”
Mar. 11 Test 3 (Sections 3.3-3.4 plus Chapter 4)
Mar. 24-28   Spring Break (Take book home to study during break!)
Apr. 3 Test 4 (Chapter 5)
Apr. 28 Final Exam at 8:00 a.m.

 

Expectations

  1. Do not miss the assigned tests without a valid excuse! Missing an assigned test without a valid excuse will result in a grade of zero for that test. The instructor gets to determine whether or not an excuse is valid. In particular, guard duty is not an acceptable excuse for missing an assigned test. When possible, students should notify the instructor in advance if they will be unable to take an assigned test. All make-up tests will be given outside of normal class time. Once a test has been given in class, any subsequent make-up tests may differ significantly.
     
  2. Show up for class on time and prepared. That means that you have read the appropriate sections from the book plus any handouts, and you have worked all assigned homework. If a test has been assigned, you should be prepared to take the test. If you were late to class or absent from the previous class meeting, you are responsible for getting class notes and assignments from another student in the class or from the instructor.
     
  3. If you are late to class, it is possible that you have already been marked absent by the time you arrive. It is your responsibility to notify the instructor after class that you were late rather than absent.
     
  4. Take care of any personal needs outside of class time. Except for emergencies, you should not need to go to the bathroom, get a drink of water, etc. If you need to leave the room at any time while class is in session, you should ask for permission.
     
  5. There should be no personal conversations, moving around, or leaving the room during class without explicit permission. These actions are disturbing to other students and to the instructor. Be courteous and respect the rights of others.
     
  6. You should respect the property of your college. No eating, drinking (other than water), smoking, dipping, chewing tobacco, etc. in the classrooms. Also, no writing or carving on the desks, chairs, podium, etc. Please respect Citadel property.

 

Daily Schedule

Dates Topics Covered
Jan. 10 Section 1.1: Functions and Mathematical Modeling
   
Jan. 15 Section 1.2: Linear Functions and Graphs
Jan. 17 Section 1.3: Constant Change and Linear Growth
   
Jan. 22 Section 1.4: Fitting Linear Models to Data
Jan. 24 Section 2.1: Quadratic Functions and Polynomials
   
Jan. 29 Test 1 (Chapter 1)
Jan. 31 Section 2.2: Quadratic Models and Equations
   
Feb. 5 Section 2.3: Fitting Quadratic Models to Data
Feb. 7 Section 3.1: Percentage Growth and Interest
   
Feb. 12 Section 3.2: Solving Growth Problems with Tables and Graphs
Feb. 14 Section 3.3: Natural Growth and Decline in the World
   
Feb. 19 Test 2 (Chapter 2 plus Sections 3.1-3.2)
Feb. 21 Section 3.4: Fitting Natural Growth Models to Data
   
Feb. 26 Section 4.1: Compound Interest and Exponential Functions
Feb. 28 Section 4.2: Exponential and Logarithmic Functions
   
Mar. 4 Section 4.3: Exponential and Logarithmic Data Modeling
Mar. 6 Section 5.1: Solving Polynomial Equations
   
Mar. 11 Test 3 (Sections 3.3-3.4 plus Chapter 4)
Mar. 13 Section 5.2: Solving Pairs of Linear Equations
   
Mar. 18 Section 5.3: Linear Systems of Equations
Mar. 20 Section 5.4: Polynomial Data Modeling
   
Mar. 24-28  Spring Break (Take book home to study during break!)
   
Apr. 1 Section 6.1: Limited Populations
Apr. 3 Test 4 (Chapter 5)
   
Apr. 8 Section 6.2: Fitting Logistic Models to Data
Apr. 10 Section 6.3: Discrete Models (first half only)
   
Apr. 15 Section 7.1: Highs and Lows
Apr. 17 Section 7.2: Applied Maxima and Minima I
   
Apr. 22 Review/Exam Discussions
   
Apr. 28 Final Exam at 8:00 a.m.