Math 110: Mathematical Reasoning

Section 10, Prof. Ross

Fall Semester 2007

Basic Information

This version posted on: 2007-09-05

Course Catalog Entry

An introduction to quantitative reasoning, with the aim of developing the capacity to comprehend and analyze the quantitative information that is prevalent in modern society. Topics include mathematical modeling, basic probability and statistics, and practical applications.

Prerequisites

Placement or at least C in Math 098 or Math 098b, or at least D- in any of Math 104, 105, 107, 109, 112

Math 110 is one of the math courses that fulfills the General Education requirement for mathematical reasoning, in many cases. It also fulfills prerequisites for courses in Chem, CompSci, Econ, and Psych, among others.

Very important notice

This course should NOT be taken by a student who intends to major in Elementary Education or in Special Education-Elementary. If you are not certain whether you should be taking this course, talk to an advisor.

Class Meetings

Section 10, CRN 14388: Mon,Wed,Fri 2:00pm-2:50pm in Pray-Harrold 414
Brief schedule overview:

Midterm 1: Fri, Sep. 28th during class
Midterm 2: Fri, Oct. 19th during class
Midterm 3: Wed, Nov. 14th during class
last day of class: Wed, Dec. 12th
Final exam: Fri, Dec. 14th from 1:30 - 3:00 p.m.

3 credit hours.

Class meetings will be mostly interactive lectures, with some time to work on problems in class, and some time to go over problems from the homework. Exams will also be held during class meetings.
I expect that you will work on Math 110 for 6 to 10 hours per week outside of class.

Instructor information

Professor Andrew Ross
Pray-Harrold 515b
andrew.ross@emich.edu
http://people.emich.edu/aross15/
(734) 487-1064, but I strongly prefer e-mail instead of phone contact.
Math department main office: Pray-Harrold 515, (734) 487-1444

Office Hours and other help

Office Hours: tentatively

M/W/F 12:00-12:50pm
M/W/F 3:00-4:00pm
T/Th 4:30-5:20pm

I am also happy to make appointments if you cannot come to the general office hours. Please send me e-mail to arrange an appointment.

I am definitely unavailable during the times I teach other classes:

M/W/F 1:00-1:50pm
T/Th 5:30-6:45pm

The Mathematics Student Services Center (or "Math Lab") is also here to help you, in Pray-Harrold 220. Their hours for Fall 2007 are:

Monday through Thursday 9am to 7pm
Friday 10am to 2pm

You can reach them at 734-487-0983 or just drop by.

Another resource on campus is the Holman Learning Center.

Required materials

Course Pack (dated Fall 2007) by Ahlbrandt, Calin, Curran, Gardiner, and Ross. There's no ISBN. I strongly recommend you not buy an old copy (Spring 2007 or before)
Scientific Calculator. Bring it to class each day. A good example is the TI-30X-IIS calculator ($15-$20). It does not have to be a graphing calculator, but the TI-83plus graphing calculator is recommended. Cell-phone calculators are not allowed on quizzes or tests.
Microsoft Excel, or other spreadsheet software such as MS Works or Gnumeric or OpenOffice.org Calc

Course Web Page(s)

We will use the WebCT system (click here to access it). You are expected to keep an eye on your scores using the system, and get extra help if your scores indicate the need.

We will also use the MapleTA on-line homework system.

Optional Materials

Graphing Calculator Manual for TI-83plus and TI-86 (ISBN: 0534-379001)
In past years, we have used other textbooks for this course; some people may like to read them in addition to our current textbook. They are:
- "Using and Understanding Mathematics: A Quantitative Reasoning Approach" by Bennett and Briggs (any edition),
- "For All Practical Purposes: Mathematical literacy in today's world" (any edition), and
- "Quantitative Reasoning: Tools for Today's Informed Citizen" by Sevilla and Somers
You may also enjoy "How to Lie with Statistics", by Darrell Huff, and "200% of Nothing" by A.K. Dewdney

Course Goals

Upon completing the course, students should be able to:

Carry out the steps of a mathematical modeling process.
Apply a variety of mathematical models to problem situations.
Analyze data using descriptive statistics.
Calculate and interpret discrete probabilities.
Use the normal distribution.
Apply statistical criteria such as significance tests, correlation and confidence intervals.
Explain the meaning of statistical criteria such as significance tests, correlation and confidence intervals.
Present a written or oral report outlining a problem situation, a proposed mathematical model, and a solution, together with a discussion of both the assumptions upon which the model is based and the limitations of the model.
Analyze data using a spreadsheet program.
Use a spreadsheet program to produce tables and graphs, and include them in a written report.

Math 110 qualifies as a Quantitative Reasoning course for almost everyone. The QR outcomes defined by the General Education program are:

Identify an appropriate model.
Identify and discuss assumptions.
Collect or generate appropriate data.
Analyze a situation using arithmetic, geometric, algebraic, and probabilistic or statistical methods.
Estimate answers.
Propose and evaluate solutions.
Predict outcomes in other situations based on what they have learned from their analysis.
Understand and communicate quantitative relationships using symbols, equations, graphs, and tables.
Share their findings in oral and written reports using appropriate mathematical language.
Write summaries to explain how they reached their conclusions.
Draw inferences from a model.
Discuss the limitations of the model.

General Education

This course will provide students with ways to approach the quantitative information that they are certain to encounter in later coursework at Eastern Michigan University, throughout their careers, and in daily life. The emphasis is on learning methods for comprehending, analyzing and using quantitative information and on techniques for using data to inform decisions about real world events and problems. For these reasons, MATH 110 will satisfy the Quantitative Reasoning requirement in the general education program, Education for Participation in the Global Community.

Grading Policies

Your grade will be computed from a weighted average, with the following components:

50%: Homework, In-Class Work, Projects, and possible Quizzes
TBA%: Midterm Exam(s)
TBA%: Final Exam

Final course grades will be assigned as follows: if your section's overall average is above 87%, then the "straight scale" will be used: [90,100] is an A, [80,90) is a B, etc. with plus/minus grades assigned as usual. If the section's overall average is below 87%, a curve will be applied. My usual procedure for this is as follows: the section's overall average is the dividing line between a B and a B+; other dividing lines are determined by adding halves of the standard deviation. This procedure may be modified as necessary. If someone appears to have stopped attending class, their scores will not be averaged in to the curve, even if they have not withdrawn officially.

Attendance

Regular attendance is strongly recommended. There will be material presented in class that is not in the textbook, yet will be required on the exams. Similarly, there are things in the textbook that are might not be covered in class, but are still required on the homework and exams. If you must miss a class, arrange to get a copy of the notes from someone, and arrange for someone to ask your questions for you.

My lectures and discussions mostly use the chalkboard. I do not usually have PowerPoint-like presentations, and thus cannot hand out copies of slides.

Homework

Most homework will be assigned via the on-line MapleTA system. You log in to a web site, and it will ask you questions that you then compute the answers to and type in your final answer. First, read these instructions and hints: MapleTA Guide for Students. Then, Click Here to access Online Homework

Sometimes we may have work that is assigned but not collected. Even if homework or worksheets are not collected, you are responsible for learning it--it could be on the tests!

Exams

The final will be comprehensive, with a special emphasis on any material not covered by the midterm exam(s).

You might be assigned seats while exams are in progress. No extra time will be given for late arrivals to exams. During the exam, all electronic equipment other than your calculator should be put away. Remember, calculators embedded in cell phones are not allowed.

Do not purchase any airline tickets to depart before the final exam. Be sure to allow enough time to get to the airport, etc. You will not be allowed to "take the exam early because you have already purchased a non-refundable airline ticket". See above for the final exam schedules.

Overall Grades

No scores will be dropped, unless a valid medical excuse with evidence is given. In the unfortunate event of a medical need, the instructor will decide between a make-up being given or the grade being dropped, or any appropriate other options. Even if a grade is dropped, you are strongly encouraged to still complete the relevant assignments or exams and consult with me during office hours to ensure you know the material.

General Caveat

The instructor reserves the right to make changes to this syllabus throughout the semester. Notification will be given in class or by e-mail or both. If you miss class, it is your responsibility to find out about syllabus and schedule changes, especially the dates and times of exams.

Advice from Other Math 110 Students

In the last two semesters, I've asked my Math 110 students to give advice to you, future Math 110 students, based on their experiences in my course. Here are some of the highlights:

_Ask questions_! Prof. Ross _will_ answer.
Study, prepare and take advantage of office hours if needed!
Come to class, take notes & use the opportunity to make the sheet for exams. Very helpful were the sheets we could use on exams.
Write all that you can on the note sheet you can use for the test because it's better to have more than you need instead of missing something :)
Be prepared to understand the math and its various applications.
You will be spending a lot of time on the computer, but the areas that you cover will really benefit you.
Read the book (at least some of it). The examples from the book are very helpful. Sometimes things are better explained in the book if you don't completely understand how to do something first.
Listen to what is talked about in class to help prepare for the exams.
Have a calculator & do the homework. Watch your calculations.
Make sure you always ask questions and go to office. It is what helped me get through this class. Professor Ross always helped when we asked.
Come to class, ask questions, see Dr. Ross in office hours he will help explain things.
Don't round up on the homework until you get to your final answer.

Standard University Policies

Religious Holy Days

I support students' right to observe religious holidays without penalty. To the best of my ability, I will schedule exams to not conflict with major religions' holidays. Students are to provide advance notice to the instructor in order to make up work, including examinations that they miss as a result of their absence from class due to observance of religious holidays. If satisfactory arrangements cannot be made, the student may appeal to the head of the department.

Academic Honesty

Academic dishonesty, including all forms of cheating and/or plagiarism, will not be tolerated in this class. Penalties for an act of academic dishonesty may range from receiving a failing grade for a particular assignment to receiving a failing grade for the entire course. In addition, you may be referred to the Office of Student Judicial Services for discipline that can result in either a suspension or permanent dismissal. The Student Conduct Code contains detailed definitions of what constitutes academic dishonesty, but if you are not sure about whether something you’re doing would be considered academic dishonesty, consult with the instructor.

Classroom Behavior

Students are expected to abide by the Student Conduct Code and assist in creating an environment that is conducive to learning and protects the rights of all members of the University community. Incivility and disruptive behavior will not be tolerated and may result in a request to leave class and referral to the Office of Student Judicial Services (SJS) for discipline. Examples of inappropriate classroom conduct include repeatedly arriving late to class, using a cellular telephone, or talking while others are speaking. You may access the Code online at www.emich.edu/sjs.

Those who use laptops during class should sit in the back row if possible, to avoid distracting others with what is on their screens.

Special Needs Accomodations

If you wish to be accommodated for your disability, EMU Board of Regents policy #8.3 requires that you first register with the Access Services Office (ASO) in room 203 King Hall. You may contact ASO by telephone at (734) 487-2470. Students with disabilities are encouraged to register with ASO promptly as you will only be accommodated from the date you register with them forward. No retroactive accommodations are possible.

Student and Exchange VISitors (SEVIS)

The Student Exchange Visitor Information System (SEVIS) requires F and J students to report the following to the Office of International Students, 229 King Hall within ten (10) days of the event:

Changes in your name, local address, major field of study, or source of funding.
Changes in your degree-completion date
Changes in your degree-level (ex. Bachelors to Masters)
Intent to transfer to another school

Prior permission from OIS is needed for the following:

Dropping ALL courses as well as carrying or dropping BELOW minimum credit hours
Employment on or off-campus
Registering for more than one ONLINE course per term (F-visa only)
Endorsing I-20 or DS-2019 for re-entry into the USA

Failure to report may result in the termination of your SEVIS record and even arrest and deportation. If you have questions or concerns, contact the OIS at 487-3116, not your instructor. Also, see the EMU SEVIS page.

Schedule

While we will try to keep to this schedule, there will probably be some deviations.

Session#  Date  	Topic  	Related Assgt?
1 	2007-09-05 	Intro 	
2 	2007-09-07 	1.1 	online hw 	
		
3 	2007-09-10 	8.1 	hw 	
4 	2007-09-12 	1.2 	wksht 	
5 	2007-09-14 	1.2 	
		
6 	2007-09-17 	8.2 	hw 	
7 	2007-09-19 	1.3 	wksht 	
8 	2007-09-21 		
		
9 	2007-09-24 	2.1 & 2 	online hw 	
10 	2007-09-26 	review 	
11 	2007-09-28 	Exam 1 	
		
12 	2007-10-01 	2.3 	online hw 	
13 	2007-10-03 	2.3 & 4 	online hw 	
14 	2007-10-05 	2.5 	online hw 	
		
15 	2007-10-08 	2.6 & 7 	online hw 	
16 	2007-10-10 	3.1 	online hw 	
17 	2007-10-12 	3.3 	online hw 	
		
18 	2007-10-15 	3.3
19 	2007-10-17 	review 	
20 	2007-10-19 	Exam 2 	
		
21 	2007-10-22 	8.3 	online hw 	
22 	2007-10-24 	3.4 	wksht 	
23 	2007-10-26 	3.4 	wksht 	
		
24 	2007-10-29 	3.4 	project 	
25 	2007-10-31 	3.5 	
26 	2007-11-02 	3.5 	project due
		
27 	2007-11-05 	8.4 	hw 	
28 	2007-11-07 	4.1&2 	online hw 	
29 	2007-11-09 	4.1&2
		
30 	2007-11-12 	review 	
31 	2007-11-14 	Exam 3 	
32 	2007-11-16 	5.1 	wksht 	
		
33 	2007-11-19 	5.2 	online hw 	
	2007-11-21 	Thanksgiving Break 	
	2007-11-23 	Thanksgiving Break 	
		
34 	2007-11-26 	5.2 	online hw 	
35 	2007-11-28 	5.3 	wksht 	
36 	2007-11-30 	6.1 	TBA 	
		
37 	2007-12-03 	6.2 	TBA 	
38 	2007-12-05 	6.3 	TBA 	
39 	2007-12-07 	6.4 	TBA 	
		
40 	2007-12-10 	7.1 	TBA 	
41 	2007-12-12 	review 	
42 	2007-12-14 	Final Exam