KASKASKIA COLLEGE

MATH 130 INTRODUCTION TO CONTEMPORARY MATHEMATICS

INSTRUCTOR: *ERIC HOFELICH*

**Office Hours:** TBA

**OFFICE LOCATION**: ST. – 116

**OFFICE PHONE**: 545-3359

**PLACEMENT REQUIREMENTS**: High school geometry or equivalent, MATH 107
Intermediate Algebra or testing criteria. (ACT Math score of 23 or KC Asset
Exam Score of 41-55 on Int. Alg. Test.)

**COURSE DESCRIPTION**: A selection of mathematical principles to better
understand issues in a contemporary society. The focus is on mathematical reasoning and
the solving of real-life problems rather than routine skills and appreciation.
Topics include mathematical modeling, probability and statistics, graph theory, and
linear programming.

**TEXTBOOK**: __For All Practical Purposes__, by Comap (6th edition, 2003)

**EVALUATION**: Five 50-minute exams will be given during the semester. **100 pts.**
Each.

Test 1 * Chapter 1 *and* Chapter 2* Euler and Hamiltonian Circuits

Test 2 * Chapter 3 *and *Chapter 4* Planning and Scheduling

Test 3 * Chapter5 *and* Chapter 6* Gathering and Describing Data

Test 4 * Chapter 7 *Analyzing Data

Test 5

Homework and announced/unannounced quizzes **100 pts**.

The lowest exam score may be dropped

Thus, TOTAL POINTS FOR THE CLASS would be **500 pts**.

Grades will be assigned as follows:

450 – 500 A, 400 – 449 B, 350 – 399 C, 300 – 349 D, below 300 F

**CHEATING POLICY**: If caught cheating in any way, the student will
receive an F for the final grade.

**ATTENDANCE POLICY**: To be successful in a math course, attendance would be
very important, almost critical. If more than two weeks of classes are missed without a
valid excuse ( death in family, hospitalization, nuclear blast, etc.) I reserve the right
to withdraw you from class with an F. If you know in advance that you cannot attend class
on a certain day, you may possibly get my prior approval. __There are no make-up exams or
quizzes__. If you come to class late, you will **not** receive extra time for exams
or quizzes. You must take the Final Exam (test 5) to have your lowest test score dropped.

**Math 130 Contemporary Mathematics Outcomes**

After successful completion of Math 130 a student should be able to perform the following at a 70% success rate. (C or better)

- Determined whether a graph contains for Euler circuit.
- Find an approximate solution to the traveling salesman problem by applying the nearest-neighbor algorithm.
- Find an approximate solution to the traveling salesman problem by applying the sorted-edges algorithm.
- Given a graph with edge weights, determine a minimum-cost-spanning tree.
- Find the earliest possible completion time for a collection of tasks by finding the critical path in their order requirement digraph.
- Apply the list-processing algorithm to schedule independent task on identical processors.
- When given an order-requirement digraph, apply the list-processing algorithm to schedule a list of task subject to the digraph.
- Solve a bin-packing problem
- Apply the corner point theorem to determine the maximum profit for a linear programming problem.
- Identify the population in a given sampling or experimental situation.
- Identify the sample in a given sampling or experimental situation.
- Analyze a sampling example to detect sources of bias.
- Use a table of random digits to select a random sample from a small population.
- Describe the placebo effect.
- Calculate the measures of central tendency of a set of data.
- List the five-number summary for a given data set.
- Construct a histogram and/or a scatterplot for a small data set.
- Describe the sample space for a given random phenomenon.
- Explain what is meant by the probability of an outcome.
- Apply the laws of probability to determine the validity of a probability model.
- Compute the probability of an event when the probability model of the experiment is given.
- Apply the 68%-95%-99.7% rule to compute normal probability
- Compute the expected value of an outcome when the associated probability model is defined.
- Explain the significance of the central limit theorem.
- Understand the purpose of a check digit and be able to determine one for various schemes.
- Be able to convert a given ZIP code to its corresponding bar code, and vice versa.