Course Syllabus
Math 1101 
Mathematical Models  
This course meets on Mondays, Wednesdays & Fridays  
in Room 207 from 10:00 - 10:50

None

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 appropriate technology, and on effective communication of quantitative concepts and results.

Course Content and Objectives

Students in Math 1101 will have the opportunity to study...

Function models.
Mathematics of finance.
Matrices with applications.
Probability and counting methods.

Upon completion of the course, Students in Math 1100 should be able to...

• Apply a variety of problem-solving strategies including algebraic, numerical, and graphical techniques to solve linear, quadratic, and exponential equations.
• Apply the slope, point-slope, and slope-intercept formulas.
• Apply function concepts and notation including domain and range.
• Represent and solve real-world problems using linear equations.
• Apply knowledge of vertical and horizontal asymptotes of rational functions to curve sketching.
• Recognize and solve exponential equations
• Apply knowledge of exponential equations to predict the long-term behavior of an exponential function.
• Compute simple and compound interest.
• Apply knowledge of ordinary annuities to compute present and future values of a stream of payments.
• Apply knowledge of ordinary annuities to find the payment that will result in a given future value.
• Apply knowledge of ordinary annuities to find the payment that will amortize a given present value.
• Compute payments and future values of sinking funds.
• Apply knowledge of elementary row operations and back substitution to solve a system of equations.
• Apply knowledge of the Gauss-Jordan method and augmented matrices to solve a system of equations.
• Compute sums, differences, products, and inverses of matrices.
• Compute solutions to a system of linear equations using inverses.
• Use matrices to model and solve real-world problems.
• Identify dependent or inconsistent systems of linear equations.
• Apply knowledge of sets and set notation to find the complement, union, and intersection of given sets.
• Apply knowledge of Venn diagrams to find the number of elements in sets.
• Compute the sample space of an experiment
• Identify whether given events are mutually exclusive or not mutually exclusive.
• Compute the probability of the union of events.
• Identify whether given events are independent or dependent.
• Compute the probability of the intersection of events.
• Apply knowledge of Bayes' Formula to compute conditional probabilities
• Apply basic counting techniques, including permutations and combinations.
• Apply knowledge of counting techniques to compute probabilities.
  

Textbooks and Resources

Text

Required Text: At the level of Harshbarger & Reynolds, Mathematical Applications, 6th edition, Houghton-Miflin, 2000.

This text can be purchased in the NGCSU Bookstore. There is also a Study and Solutions Guide available.

Other Materials

If you have a graphing calculator, please bring it to class daily. If you are considering purchasing a graphing calculator, I suggest a TI-83. I have a few calculators that you may use during class only.

Helpful Websites

The Math Forum - http://www.forum.swarthmore.edu/
Math Archives - http://archives.math.utk.edu/
CyberMath - http://www.cybermath.com
The American Mathematical Society ­ http://www.ams.org/
Quantitative Reasoning Internet Sites - http://www-math.cudenver.edu/~wbriggs/qr/sites.html

Evaluation Methods

Assignments, Quizzes and Tests

Weekly assignments will be discussed in class and posted on the course webpage (click here to view the assignment sheet).

Expect weekly homework checks and weekly announced quizzes.

There will be 4 units tests, a take-home midterm, and an in-class final exam.

You may earn bonus points for excellent attendance.

Grades

Course Grade will be assigned base on the percentage of total possible points a student earns during the semester.

A = 90 % or higher

B = 80 - 89 %

C = 70 - 79%

D = 60 - 69%

F = Below 60%

Time Outside of Class

You can not expect to accomplish what you should from this course without spending time with the material outside of class. The usual expectation of 2 hours study outside of class for every hour in class is a minimum. Please communicate with me as soon as possible if you are having trouble managing your time and/or completing assignments- I want to help you get the most out of this course that you can.

Attendance and Tardy Policy

I expect you to be on time for class. Class begins promptly at 10:00am. An apology will be expected from 10:00 - 10:05 and it will be expected that tardiness does not become a habit.for you. If you arrive after 10:05 and before 10:10, I will record your tardy and include it as an absense when calculating points for attndance.If you arrive after 10:10,the door will be locked and you will need to get the notes from someone in the class.

I expect you to be in class every day. If you are ill, please call or e-mail with a message letting me know that you will be missing class - prior to that class meeting if possible. If there is a date that you know you will be absent due to personal reasons, please let me know that in advance. Not only is this polite behavior, it also helps me help you. I will be able to let you know in advance what you will be missing and I can ask someone in the class to allow me to copy notes for you. Please note that according to the policies of North Georgia College & State University, students that miss more than 14% of the scheduled classes may be dropped from the course (see p. 59 of the Undergraduate Bulletin).

Academic Integrity

The integrity code will be upheld in this course. The NGCSU catalog states:

North Georgia College & State University is dedicated to providing an educational climate characterized by integrity. Academic integrity, in particular, must be the cornerstone of an institution of higher learning and must pervade all segments of the NGCSU community. Furthermore, academic integrity is the mutual responsibility of the various constituencies (students, faculty, staff, and administration) which comprise the university. The integrity code, "On my honor, I will not lie, cheat, steal, plagiarize, evade the truth or tolerate those who do," reflects NGCSU's commitment to academic integrity.