Course Syllabus for Math 130: Contemporary Math, Spring 2012 ONLINE

Mathematics Department - Kaskaskia College

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*"I took the road less traveled by, and that has made all the difference." - Robert Frost*

**Office: ** ST - 118 Phone: 618-545-3360 email: jpalm@kaskaskia.edu

* Appointments for extra help with math may be made by contacting the instructor.*

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**Text: ** *For All Practical Purposes,8* ^{th} Edition, by Comap, Freeman Publishing Co, and Copyright 2009

**Course Description for Math 130 Contemporary Math Credit Hours: 3.0**

This course includes 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.

Prerequisite: Successful completion of Math 107

**Materials Required:**

** ** Textbook, loose-leaf paper, pencils

Suggested: Scientific calculator, notebook/folder

**Grading Policy:**

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Grades will be based on discussion posts, quizzes and tests.

Papers = two at 10 points each (about 3% final grade)

Homework = approximately 10 points per chapter (about 9% final grade)

Discussion Posts = approximately 3 points per week (about 7% final grade)

Quizzes = approximately 30 points per chapter (about 28% final grade)

Tests **=** approximately 100 points per chapter (about 53% final grade)

Four tests will be given during the semester, 100 points each.

Test 1 *Chapter 1* and*Chapter 2* Urban Services and Business Efficiency

Test 2 *Chapter 3* and *Chapter 4* Planning, Scheduling and Linear Programming

Test 3 *Chapter5* and*Chapter 6* Exploring Data: Distributions and Relationships

Test 4 *Chapter 7 and Chapter 8 * Data for Decisions and Probability

**Grading Scale**

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A = 90%- 100%

B = 80% - 89%

C = 70% - 79%

D = 60% - 69%

F = Below 60%

**Plagiarism or Cheating** :

Serious consequences will occur in the event of plagiarism or cheating. Plagiarism occurs if you submit work of someone else or take credit for words of another. Cheating occurs if you use someone's work or allow another student to use your work. **In the event of sharing work, the integrity of both students is in question. If caught cheating in any way, the student will receive an F for final grade.**

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*Violations of Academic Honesty*

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Submitting the work of another as your own--with or without his or her knowledge.

Stealing parts of or the entirety of a web site source, an article or a book for use in your paper.

Using the ideas and/or exact words of a professional writer (or internet source) without giving that person credit and without putting quotation marks around his or her words.

Sharing your paper with another student that he or she may use some or all of your ideas.

Submitting an essay in this class that has also been submitted in another class, or submitting an essay that contains a substantial amount of material taken from an essay submitted in another course.

**Chapters to Be Covered:**

** ** Chapter 1: Urban Services - Euler Circuits

Chapter 2: Business Efficiency - Hamiltonian Circuits

Chapter 3: Planning and Scheduling

Chapter 4: Linear Programming

Chapter 5: Exploring Data: Distributions

Chapter 6: Exploring Data: Relationships

Chapter 7: Data for Decisions

Chapter 8: Probability: The Mathematics of Chance

If time permits, an additional chapter may be covered.

**Important Dates:**

** ** Last day to drop a class and receive full refund

Last day to withdraw with a W

**NOTE:** Following midterm, please know that it is your responsibility to withdraw from this class is you desire a W on your transcript. Failure to withdraw and not attending will result in an F for you transcript grade. Do not assume that I will withdraw you with a W for not attending.

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**Discussion Posts:**

Discussion posts are very beneficial. You will earn 3 points per week for posting. Discussion posts must be completed by the date listed on the calendar of due dates. You will receive 1 point for posting a response to one of my questions. Often, I will post a general question such as, "What question do you have as you prepare for the next homework assignment, quiz, or test? " You will receive 2 points for posting a paragraph response to another student. There are a total of 50 points available for discussion posts. Responding for 16 weeks at 3 points per week is 48 points. The other 2 points will be earned when you post a biography sketch to the discussion board.

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**Homework:**

**Homework for Math 130**

**Practice... Practice...Practice**

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The key to learning any new skill is practice. Consider something that you do well and then think about the steps that you took to do well at this skill. Whatever the skill, much practice and repetition was needed to excel at this skill. The same is true for mathematics. You CAN learn to do mathematics well. It will take determination and practice to succeed!

Homework assignments for Math 130 will be completed either through assigned problems from the text book, website of textbook company, or worksheet given by instructor. The due dates are listed on the Calendar of Due Dates. Completion of homework assignments will definitely help your grade on quizzes and tests. You may stop by my office and I will be happy to help you with the homework problems. I also encourage you to work together; be sure that all work submitted is your own work.

As always, call me, email me, or stop by my office if you have any questions. I want to help you see and achieve your goals in mathematics!

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**Help Available:**

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In previous online classes, students have indicated a frustration with finding people who are able to help them with this class. It seems especially frustrating for online students who rarely see their instructor. To help you succeed in this class, I encourage you to come to campus if possible. I will soon post my office hours for this semester. If my office hours do not work with your schedule, we may be able to fit another time that works for both of us. The Success Center has some wonderful tutors who are capable of helping students with the contents of Math 130. I wish all of you much success!

**Philosophy Statement:**

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Teaching is empowering students to achieve success both academically and personally. It is on one level guiding students to learn new material. However, on a deeper level, teaching is about giving students the ability to learn new ideas and build on these ideas. Students will see the positive effects of studying and working to achieve a goal through determination and dedication.

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** Students in my class will see a learning environment that is both exciting and challenging to promote excellence. Also, students will be treated with respect in a positive atmosphere where discussion of a variety of ideas is encouraged.

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*"There are no shortcuts!" - Rafe Esquith*

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*"The game's on the schedule, we have to play it, we might as well win it." - Bill Russell*** **

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**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.

**A note of encouragement:**

I look forward to working with you during this course. As with any math course, a dedication is needed toward both the completion of assignments and preparation for quizzes and exams. All odd-numbered problems have the answers in the back of the textbook. This is designed to give you a guide to understanding the concepts presented in each section. The textbook website provides many wonderful study guides to help you with the concepts of the chapters. Use the discussion board to answer my posts as well as ask questions to your class and help others when possible. In addition, the text provides sample problems for you to study.

You need to know that this course will not be easy. If you have difficulty understanding a concept, please do not hesitate to ask questions on the discussion board or by sending me an email; your questions will help the other students! You may also stop by my office, and I will be happy to answer your questions. Be sure to take advantage of the

Success Center where math tutoring is available. Please make an appointment in advance. Evening hours by appointment will be offered in addition to the regular hours Monday through Friday, 8-4.

It is my goal that you will have a good experience with mathematics and leave this class with the confidence to pursue future mathematics courses.

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