Math 110: Mathematical Reasoning
Prof. Ross
Summer (May/June) 2014
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Course: Basic Information
Note: this syllabus is temporary, and may change up to the first day of class.
This version posted on: 2014-05-01
Official 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
Brief schedule overview:
- Mon May 5: First day of class
- Mon May 26: Memorial Day--no classes, university closed
- Mon May 19: Midterm Exam 1
- Thu June 5: Midterm Exam 2
- Tue June 24 or Thu June 26: Final Exam (during usual class time) (Tue or Thu? Uncertain right now!)
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.
Some class sessions will meet in a computer lab or use a cartful of laptops.
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
during a regular (Fall/Winter) semester, and twice that during the shortened Summer semester.
Instructor information
Professor Andrew Ross
Pray-Harrold 515m
andrew.ross@emich.edu
http://people.emich.edu/aross15/
(734) 487-1658, 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
Here is my complete schedule.
Mon/Tue/Thu:
10:00-10:30 Office hours
10:30-12:15 Math 110, in Pray-Harrold 304
12:15- 1:00 Office hours and lunch
1:00- 2:50 Math 319, in Pray-Harrold 503
2:50- 4:00 Office hours
Wed/Fri:
No official office hours, but I'm often on campus.
E-mail me to make an appointment, or drop by.
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.
The Mathematics Student Services Center (or "Math Lab") is also here to
help you, in Pray-Harrold 411.
Their hours are posted here.
Please give them a call at 734-487-0983 or just drop by.
Another resource on campus is the
Holman Success Center, formerly the Holman Learning Center.
Required materials
- "Quantitative Reasoning in Mathematics" Course Pack (dated 2013-2014)
by Ahlbrandt, Calin, Curran, Gardiner, and Ross.
ISBN-13: 978-0-7380-6241-9
I strongly recommend you buy this year's version, not previous year's--many changes have been made.
- 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 or
Google Docs.
Course Web Page(s)
I will post data files, homework assignment files, etc. on
my home page.
We will use the
EMU-Online system (click here to access it, or go through my.emich.edu). 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 EMU-Online to do some homework assignments and to upload other homework assignments.
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:
(short form):
Students will learn to solve real-life problems using a mathematical modeling process. They will learn to:
- Build an appropriate model.
- Use the model to solve the problem.
- Communicate the results of their analysis.
- Evaluate the model.
(full version):
Students will learn to solve real-life problems using a mathematical modeling process. They will learn to:
- Build an appropriate model.
- Estimate an answer to the problem.
- Identify important components of the model.
- Collect or generate appropriate data.
- Analyze the situation using arithmetic, geometric, algebraic, and probabilistic or statistical methods.
- Use the model to solve the problem.
- Propose a solution.
- Evaluate the reasonableness of the solution.
- Communicate the results of their analysis.
- Share the findings in oral or written reports using appropriate mathematical language.
- Write summaries to explain how they reached their conclusions.
- Communicate quantitative relationships using symbols, equations, graphs, and tables.
- Evaluate the model.
- Draw other inferences from the model.
- Identify the assumptions of the model.
- Discuss the limitations of the model.
General Education
General Education rationale:
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 count for the Quantitative Reasoning requirement in the General Education program Education for Participation in the Global Community.
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.
Grading Policies
Your grade will be computed from a weighted average, with the following components:
- 50%: Homework, In-Class Work, Projects, and possible Quizzes
- 15%: each of 2 Midterm Exams
- 20%: Final Exam
Some homeworks and worksheets might be graded as credit/no
credit instead of graded in detail. These credit/no-credit assignments will
make up 20% of your grade, while graded-in-detail assignments will be 30%, totaling
the 50% mentioned above for homework, in-class work, etc.
Final course grades will be assigned as follows:
90+ is an A,
85-89.999 is an A-
80-84.999 is a B+
75-79.999 is a B
70-74.999 is a B-
65-69.999 is a C+
60-64.999 is a C
55-59.999 is a C-
50-54.999 is a D+
45-49.999 is a D
40-44.999 is a D-
below 40 is a failing grade.
Note that there are about 17 homework assignments/worksheets,
and homework all together is worth 50 percent of your grade. So, each
assignment or worksheet is worth about 3 percent of your grade.
Missing two can knock you from an A to an A-, or an A- to a B+, etc.
Or, put it this way: if you paid about $1000 to take this course,
each homework is worth about $30. So not turning in a homework is like
taking a $10 and a $20 out of your wallet and burning them--and that's
just the immediate effect, not including doing worse on the tests,
and increasing the chances you might have to take the whole course again.
Similarly, we have about 28 class meetings this semester. So,
you are paying about $36 per class meeting--miss one, and you might
as well burn two $20 bills.
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
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!
Project
Our project this semester will be a role-playing game where we pretend that
it is 1935 and we are members of the US House of Representatives. You
will stand up and make short speeches to persuade your fellow Representatives
to vote for what you want included (or not included) in the new
Social Security law, using cost estimates that you derive as your main
line of reasoning.
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 (subject to the school's H1N1 Flu policy).
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
Current University policy recognizes the rights of students to observe religious holidays without penalty to the student. Students will provide advance notice to the instructor in order to make up work, including examinations, they miss as a result of their absence from class due to observance of religious holidays. If satisfactory arrangements cannot be made with the instructor, the student may appeal to the school director or head(s) of department(s) in which the course(s) is / are offered.
Academic Honesty
Academic dishonesty, including all forms of cheating, falsification,
and/or plagiarism, will not be tolerated in this course.
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 Conduct and Community Standards 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 are doing would be considered academic dishonesty, consult with the course instructor. You may access the Code online at: www.emich.edu/studentconduct/
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 Conduct and Community Standards (SJS) for discipline. Examples of inappropriate classroom conduct include repeatedly arriving late to class, using a mobile/cellular phone while in the class session, or talking while others are speaking. You may access the Code online at www.emich.edu/studentconduct/
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 Disability Resource Center (DRC) in 240K EMU Student Center. You may contact DRC by telephone (734.487.2470). Students with disabilities are encouraged to register with the DRC 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 244 EMU Student Center 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 Office of International Students at 734.487.3116, not the course instructor.
The Family Educational Rights and Privacy Act (FERPA)
The Family Educational Rights and Privacy Act (FERPA) is a Federal law designated to protect the privacy of a student's education records and academic work. The law applies to all schools and universities which receive funds under an applicable program of the U.S. Department of Education and is applicable to students at EMU. All files, records, and academic work completed within this course are considered educational records and are protected under FERPA. It is your right, as a student in this course, to expect that any materials you submit in this course, as well as your name and other identifying information, will not be viewable by guests or other individuals permitted access to the course. The exception will be only when you have given explicit, written, signed consent. Verbal consent or email is insufficient.