Elementary Mathematical Modeling

MATH 104, Sections 06 and 08
Spring Semester 2016

 

Instructor

John I. Moore, Jr. Phone:  843-953-7883
Office:  Thompson Hall 311       E-mail:  john.moore@citadel.edu

 

Course Description

This course will introduce students to mathematical models of real world problems. Designed for non-technical majors, this course focuses on basic mathematical functions, modeling using those functions, properties of their graphs, and real-world applications. Functions will include linear, quadratic, higher degree polynomial, exponential, logarithmic, and logistic. Students will solve problems using algebra and a graphing calculator; they will use matrices for solving systems of linear equations; and they will be required to interpret results in writing. Students may not receive credit for both MATH 104 and MATH 119 in meeting their core curriculum mathematics requirement.

 

Textbook

College Algebra in Context by Ronald J. Harshbarger and Lisa S. Yocco, Pearson, 2012. (ISBN: 978-0321756268)

 

Calculator

TI-83 Plus or TI-84

 

Class Schedule

Section 06: Monday-Wednesday-Friday, 10:00-10:50 a.m., Thompson Hall 319.
Section 08: Monday-Wednesday-Friday, 11:00-11:50 a.m., Thompson Hall 319.

 

Grading

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

 

Miscellaneous Grading Policies

  1. Students are required to work individually on all work done outside of class that will be turned in for a grade. Unless explicitly authorized, joint work is forbidden. Assistance from anyone other than the instructor, a librarian, or a member of the academic support center is also forbidden.
     
  2. Homework will be assigned, but it will not be collected or graded. However, daily quizzes will come directly from the homework assignments.
     
  3. Class attendance and participation can influence borderline grades.
     
  4. A total of nine 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.
     
  5. Incomplete grades are given only in unusual circumstances. Consult the college catalog for policy on incomplete work.

 

Office Hours

Monday 1:00-3:30 p.m.
Wednesday  1:00-3:30 p.m.

Other times by appointment

 

Important Dates

Jan. 18 Martin Luther King Day (no classes)
Feb. 8 Test 1: Chapter 1 plus Sections 2.1-2.2
Feb. 29 Test 2: Section 2.3, Chapter 3, and Section 4.3
Mar. 16 Last day to withdraw with a grade of “W”
Mar. 25 Test 3: Sections 5.1-5.5, EAY
Mar. 28-Apr. 1 Spring Break (Take book home to study during break!)
Apr. 22 Test 4: Sections 5.7, 6.1-6.3, 7.1-7.2
Apr. 27 Section 06: (Wednesday) Final Exam, 1:00-4:00 p.m.
May 2 Section 08: (Monday) Final Exam, 1:00-4:00 p.m.

 

Expectations

  1. Do not miss an assigned test 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 or moving around 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. Cell phones must be kept in book bags and programmed in a silent or vibrate setting during class.
     
  7. 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. Any willful vandalism or destruction of Citadel property will be dealt with appropriately.
     

Daily Schedule

Dates Topics Covered
Jan. 13 Overview of Mathematical Modeling plus Chapter 1 Algebra Toolbox
Jan. 15 Section 1.1: Functions and Models
   
Jan. 18 Martin Luther King Day (no classes)
Jan. 20 Section 1.2: Graphs of Functions
Jan. 22 Section 1.3: Linear Functions
   
Jan. 25 Section 1.4: Equations of Lines
Jan. 27 Chapter 2 Algebra Toolbox
Jan. 29 Section 2.1: Algebraic and Graphical Solutions of Linear Equations
   
Feb. 1 Section 2.2: Fitting Lines to Data Points: Modeling Linear Functions
Feb. 3 Calculator Workshop: Computing SSE and Average Error
Feb. 5 Review of Chapter 1 and Sections 2.AT-2.2
   
Feb. 8 Test 1: Chapter 1 plus Sections 2.1-2.2
Feb. 10 Section 2.3: Systems of Linear Equations in Two Variables
Feb. 12 Chapter 3 Algebra Toolbox
   
Feb. 15 Section 3.1: Quadratic Functions; Parabolas
Feb. 17 Section 3.2: Solving Quadratic Equations
Feb. 19 Section 3.2: Solving Quadratic Equations (continued)
   
Feb. 22 Section 3.4: Quadratic and Power Models
Feb. 24 Section 4.3: One-to-One and Inverse Functions
Feb. 26 Review of Section 2.3, Chapter 3, and Section 4.3
   
Feb. 29 Test 2: Section 2.3, Chapter 3, and Section 4.3
Mar. 2 Chapter 5 Algebra Toolbox
Mar. 4 Section 5.1: Exponential Functions
   
Mar. 7 Section 5.2: Logarithmic Functions: Properties of Logarithms
Mar. 9 Section 5.2: Logarithmic Functions: Properties of Logarithms (continued)
Mar. 11 Section 5.3: Exponential and Logarithmic Functions
   
Mar. 14 Section 5.3: Exponential and Logarithmic Functions (continued)
Mar. 16 Section 5.4: Exponential and Logarithmic Models
Mar. 18 Section 5.5: Exponential Functions and Investing
   
Mar. 21 Effective Annual Yield
Mar. 23 Review of Sections 5.1-5.5, EAY
Mar. 25 Test 3: Sections 5.1-5.5, EAY
   
Mar. 28-Apr. 1 Spring Break (Take book home to study during break!)
   
Apr. 4 Section 5.7: Logistic Functions
Apr. 6 Section 6.1: Higher-Degree Polynomial Functions
Apr. 8 Section 6.2: Modeling with Cubic and Quartic Functions
   
Apr. 11 Section 6.3: Solution of Polynomial Equations
Apr. 13 Section 7.1: Systems of Linear Equations in Three Variables
Apr. 15 Section 7.1: Systems of Linear Equations in Three Variables (continued)
   
Apr. 18 Section 7.2: Matrix Solutions of Systems of Linear Equations
Apr. 20 Review of Sections 5.7, 6.1-6.3, 7.1-7.2
Apr. 22 Test 4: Sections 5.7, 6.1-6.3, 7.1-7.2
   
Apr. 25 Review/Course Evaluations
   
Apr. 27 Section 06: (Wednesday) Final Exam, 1:00-4:00 p.m.
May 2 Section 08: (Monday) Final Exam, 1:00-4:00 p.m.