Course description: MA 118 FINITE Rule s-on-hyperbola.html">MATHEMATICS Includes functions and
their graphs,
systems of linear equations , linear programming, the mathematics of finance,
combinatorics, basic
probability, and statistics. This course cannot be taken as a prerequisite for
MA 121. Prerequisite:
high school Algebra II course and ACT Math score of 17 or more, or MA 116.
Offered each
semester. Four hours.
Trinity’s mission: to form students who can then transform the world through
Christ
The mission of the Department of Mathematics and Computer Information Systems
is to
• relate mathematics to the world the Lord has made and to the techno logy
developed to deal
with this world
• train students to think logically and analytically about mathematical or
computer-related
questions
• give students the tools they need to solve mathematical or computer-related
problems
• treat students with dignity and model godly living
• advise students as they prepare for service in mathematical fields
• demonstrate how mathematics gives us insight into the Christian faith and vice
versa .
Course objectives: Upon the completion of this course, you should be able to
• solve systems of linear equations and linear programming problems and
identify situations
which require these techniques
• apply compound interest formulas to problems involving investments and loans
• use the appropriate formulas to solve problems involving permutations and
combinations
• calculate basic statistics like the mean and standard deviation and apply them
• develop better critical thinking and problem-solving skills.
Our class will meet from 1:40 to 2:55 on Tuesdays and Thursdays, and from
2:15 to 3:05 on
Fridays in 111 Aldeen.
Your grade will be based on the following:
| 3½ Exams (100 points apiece) |
350 points |
| ≈15 Quizzes (10 points apiece) |
≈150 |
| Homework |
75 |
| Final |
120 |
| Total |
695 points |
Our exams will be on Friday, January 30, 2009 (half-exam); Tuesday, February
24, 2009; Tuesday
March 24, 2009; and Tuesday, April 21, 2009. Notify me beforehand if you will be
absent on the
day of a test. We will have a quiz every Thursday. It will cover material taught
the previous week.
I can give you a make-up quiz if you are absent, but you will have to make it up
within two weeks .
Homework needs to be turned in promptly (the next time we meet). Our final will
be cumulative
and it will be on Thursday, May 14, 2009 from 1:00 to 3:00 p.m.
I expect you to attend class faithfully. Attendance will count as part of
your grade. Excused
absences (e.g., absences due to sickness, school-related activities, etc.) are
OK. Please notify me
when they occur. Unexcused absences will affect your grade in the fol lowing way :
| Number of unexcused absences |
Change in your point total |
0
1
2
3
4
etc. |
+10
-1
-2
-3
-4
etc. |
Free math tutoring is available in the Johnson Hall Tutoring Center
(Footnotes). No appointment
is necessary; just walk in.
Academic Dishonesty: Trinity considers academic dishonesty in the
forms of cheating and
plagiarism to be serious academic in fractions and a breaking of college
Community Expectations.
Cases of deliberate cheating or plagiarism will be reported to the Academic
Dean; you will receive
a failing grade for the as signment and may even receive a failing grade for the
course. In such a
case, you may not drop the course. For additional information see Academic
Integrity in the
Official Policies section of this catalog, and consult the Student Handbook.
| Text: Finite Mathematics, 7th edition by Howard Rolf |
Approximate dates when each
topic will be covered: |
|
Course outline and approximate number
of classes required to cover
each topic: |
|
|
| Chapter 1 Cartesian Coordinates and
Lines |
|
|
| 1.2 Graphs and Lines (1) |
Week of January 12, 2009 |
|
| 1.3 Mathematical Models and Apps. of
Linear Fcns. (1) |
|
|
| |
|
|
| Chapter 2 Systems of Linear Equations
and Matrices |
|
|
| 2.1 Systems of Two Equations (1) |
Week of January 19, 2009 |
|
| 2.2 Systems with Three
Variables (1) |
|
|
| 2.8 Linear Regression (1) |
|
|
| |
|
|
| Chapter 3 Linear Programming : The
Graphical Method |
|
Exam 1:
Jan. 30 |
| 3.1 Linear Inequalities in Two
Variables (1) |
Week of January 26, 2009 |
| 3.2 Solutions of Systems of
Inequalities: A Geometric Picture (<1) |
Week of February 2, 2009 |
| 3.3 Linear Programming: A Geometric
Approach (<1) |
|
|
| 3.4 Applications (<1) |
Week of February 9, 2009 |
|
| |
|
|
| Chapter 5 Mathematics of Finance |
|
|
| 5.2 Compound Interest (3) |
Week of February 16, 2009 |
Exam 2:
Feb. 24 |
| 5.3 Annuities and Sinking Funds (2) |
Week of February 23, 2009 |
| 5.4 Present Value of an Annuity and
Amortization (3) |
Week of March 2, 2009 |
| |
|
|
| Chapter 6 Sets and Counting |
|
|
| 6.3 Basic Counting Principles (1) |
Week of March 16, 2009 |
Exam 3:
Mar. 24 |
| 6.4 Permutations (1) |
|
| 6.5 Combinations (1+) |
Week of March 23, 2009 |
| 6.6 A Mixture of Counting Problems
(1) |
Week of March 30, 2009 |
|
| |
|
|
| Chapter 7 Probability |
|
|
| 7.1 Introduction to Probability (1) |
Week of April 7, 2009 |
|
| 7.2 Equally Likely Events (1) |
|
|
| 7.3 Compound Events: Union,
Intersection and Complement (1) |
|
|
| 7.4 Conditional Probability (1) |
Week of April 13, 2009 |
Exam 4:
April 21 |
| 7.5 Independent Events (1) |
|
| 7.6 Bayes’ Rule (2) |
Week of April 20, 2009 |
| |
|
|
| Chapter 8 Statistics and Probability
Distributions |
|
|
| 8.1 Frequency Distributions (1) |
Week of April 26, 2009 |
|
| 8.2 Measures of Central Tendency (1) |
|
|
| 8.3 Measures of Dispersion: Range,
Variance and St. Dev. (1) |
|
|
| 8.7 The Normal Distribution (1) |
Week of May 4, 2009 |
|
| Analyzing Statistics (2) |
|
|
| Correlation (1) |
|
|
