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:

- Four assigned in-class tests. Each test counts as a separate grade.
- Daily quizzes and other assignments– collectively count as 1 grade. (Lowest three quiz grades will be dropped.)
- Final Exam – counts as 2 grades.
- Lowest grade from above will be dropped. If the lowest grade is the final exam, only one of the associated grades will be dropped.

Miscellaneous Grading Policies

- 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.

- Homework will be assigned, but it will not be collected or graded.
However, daily quizzes will come directly from the homework assignments.

- Class attendance and participation can influence borderline grades.

- 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.

- 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

- 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.

- 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.

- 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.

- 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.

- 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.

- Cell phones must be kept in book bags and programmed in a silent or vibrate
setting during class.

- 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. |