Math 110-section 6: Mathematical Reasoning

Prof. Andrew Ross

Winter 2020

Eastern Michigan University Creed

We believe the INTEGRITY of our work and the RESPECT we show for our fellow students, faculty, alumni and staff are an integral part of our ongoing EDUCATION.

We believe that the RELATIONSHIPS we have and those we continue to develop will support us as we learn and grow together as a community.

INTEGRITY adds value to our educational experience.

RESPECT promotes unity and understanding through individual differences within our community.

EDUCATION allows us to develop socially, intellectually, and emotionally.

RELATIONSHIPS are the foundation of our growth.

Course: Basic Information

Note: this syllabus is temporary, and may change up to the first day of class.
This version posted on: 2020-01-06

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

"Level 3 Math Placement, MATH 097 with a C or higher, MATH 097B with a C or higher, MATH 098 with a C or higher, MATH 098B with a C or higher, MATH 104, MATH 105, MATH 107, or MATH 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

See the end of this syllabus for the day-by-day schedule.
3 credit hours.

Homework due dates: In general, I strongly recommend that you finish the assigned homework by the start of the next class session. However, I know that sometimes that does not happen, so the official due date is actually 7 days after the date assigned (at 5pm), in most cases.

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. For some classes, you should bring a laptop (or arrange to work with a partner) so you can use a spreadsheet in class. A tablet is usually not sufficient for this. 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 schedule for each week.
 
Mon/Wed:
	11:00-12:00 grant meeting (Wednesdays)
	 1:00- 2:00 office hours
	 2:00- 3:15 Math 319, room TBA
	 3:15- 4:30 office hours
Tue/Thu:
	10:30-11:00 office hours
	11:00-12:15 Math 110, Pray-Harrold 406
	1:00- 2:00 office hours
	2:00- 3:15 Stat 360, Pray-Harrold 304
	3:15- 4:30 office hours
Fri:
	No official office hours, but I'm often on campus.
	E-mail me to make an appointment, or drop by.
	11:00-12:00 department colloquium (once a month)
	12:30-2:30 department meeting (once a month)
	2:30-3:30 research meeting

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

  1. "Quantitative Reasoning in Mathematics" Course Pack (dated 2019-2020 or Fall 2019 or June 2019) by Ahlbrandt, Calin, Curran, Gardiner, and Ross. ISBN-13: 978-1-5339-1307-4 I strongly recommend you buy this year's version, not previous year's--many changes have been made.
  2. 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.
  3. Coursepack Supplement, in Canvas/Files/misc or at google docs (no sign-in required) (link is https://docs.google.com/document/d/e/2PACX-1vSVJATCG7kYaPNVM1AWUIu8uaqGa5CeW_YbxCL1zUrfvaciiqq7QMVgXB396-IrfWjXXuTAEhInmeG8/pub in case the bit.ly link fails)
  4. Microsoft Excel, or other spreadsheet software such as MS Works or Gnumeric or OpenOffice.org Calc or Google Docs.
  5. Here's the information I had on free Excel as of last semester. I don't know if it still works. If someone tries it, please let me know how it goes, good or bad. Also,: Microsoft Office is available to all EMU students for free. You can install it on FIVE DEVICES. "Office 2013 Professional is available for all university-owned Windows based computers. Each suite includes Word, Excel, Access, Powerpoint, Publisher, Outlook, and Infopath. Office 2011 for Mac is available for all university-owned Apple computers. Personal Use - The University's campus license also allows students, faculty, and staff to install Microsoft Office (Windows, Mac and mobile device versions) at no cost. To obtain the software, login to https://portal.office.com (Links to an external site.) using your EMU email address (username@emich.edu) and NetID password and then follow the instructions on the page to download and install the application."

Course Web Page(s)

Most files will be in Canvas. Sometimes, I will post some data files, homework assignment files, etc. on my home page.

We will use the Canvas system (click here to access it, or go through my.emich.edu). Many homeworks will be submitted electronically, and some will be done within that system like quizzes. You are expected to keep an eye on your scores using the system, and get extra help if your scores indicate the need.

Optional Materials

  1. Graphing Calculator Manual for TI-83plus and TI-86 (ISBN: 0534-379001)
  2. 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: 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:
  1. Build an appropriate model.
  2. Use the model to solve the problem.
  3. Communicate the results of their analysis.
  4. Evaluate the model.
(full version): Students will learn to solve real-life problems using a mathematical modeling process. They will learn to:
  1. Build an appropriate model.
    1. Estimate an answer to the problem.
    2. Identify important components of the model.
    3. Collect or generate appropriate data.
    4. Analyze the situation using arithmetic, geometric, algebraic, and probabilistic or statistical methods.
  2. Use the model to solve the problem.
    1. Propose a solution.
    2. Evaluate the reasonableness of the solution.
  3. Communicate the results of their analysis.
    1. Share the findings in oral or written reports using appropriate mathematical language.
    2. Write summaries to explain how they reached their conclusions.
    3. Communicate quantitative relationships using symbols, equations, graphs, and tables.
  4. Evaluate the model.
    1. Draw other inferences from the model.
    2. Identify the assumptions of the model.
    3. 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.

Grading Policies

Your grade will be computed from a weighted average, with the following components: Some homeworks and worksheets might be graded as credit/no credit instead of graded in detail.

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 (not including the projects) is worth 40 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 document camera. 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!

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:

Land Acknowledgement

The campus of Eastern Michigan University is located on the traditional territory (ceded in the 1807 Treaty of Detroit) of the Anishinaabeg, which refers collectively to the Ojibwe, Odawa, and Potawatomi (also known as the People of the Three Fires), and was also home to the Wendat/Wyandot people. This acknowledgement is included here to honor the elders and stewards of these heritages.

University Writing Center

The University Writing Center (115 Halle Library; 487-0694) offers one-to-one writing consulting for both undergraduate and graduate students. The UWC also has several college and program satellite locations across campus. The locations and hours for the other satellites can be found on the UWC web site: http://www.emich.edu/ccw/writing-center/contact.php Students seeking writing support at any UWC location should bring a draft of their writing (along with any relevant instructions or rubrics) to work on during the consultation.

Standard University Policies

In addition to the articulated course specific policies and expectation, students are responsible for understanding all applicable university guidelines, policies, and procedures. The EMU Student Handbook is the primary resource provided to students to ensure that they have access to all university policies, support resources, and student's rights and responsibilities. Changes may be made to the EMU Student Handbook whenever necessary, and shall be effective immediately, and/or as of the date on which a policy is formally adopted, and/or the date specified in the amendment. Electing not to access the link provided below does not absolve a student of responsibility. For questions about any university policy, procedure, practice, or resource, please contact the Office of the Ombuds: 248 Student Center, 734.487.0074, emu_ombuds@emich.edu, or visit the website at www.emich.edu/ombuds . CLICK HERE to access the University Course Policies

Food Pantry

Swoop's Pantry (104 Pierce Hall, emich.edu/swoopspantry, 734 487 4173) offers food assistance to all EMU students who could benefit. Students are able to visit twice per month to receive perishable and non-perishable food items, personal hygiene items, baby items, and more. Students can visit our website for hours of operation and more information. If you are in a position to donate to Swoop's, I encourage you to do so!
ABCDEFGHIJ
1
75-min
2
3
Prof.
Andrew Ross
SupplementMath 110sec6;CRN 21106; T/Th 11:00-12:15; PH 406
4
Class#date (2020)daychapterreading?Worksheet?TopicHomework afterwardsRecommended HW completionOfficially Due
5
101-07Tue1.1, 1.4nointro; fish in the lake, accuracy/precisionpercent pretestpercent pretest
6
201-09Thu1.3yespg 3estimationch13percent pretest
7
301-14Tue1.4; 8.1, 8.2nopg 5,6,7,8Big Numbers; Intro to Excelch1bignumbers; Spreadsheet Hw 1ch13
8
401-16Thu1.5yespg 9Compared to Whatch15Spreadsheet Hw 1ch13, ch1bignumbers
9
501-21Tue2.1yespg 11-14Direct ProportionsTBD and Ch1 wrapupch15Spreadsheet Hw 1
10
601-23Thu2.2nonoPercentsch22TBD and Ch1 wrapupch15
11
701-28Tue2.4yespg 23-26Inflationch22TBD and Ch1 wrapup
12
801-30Thu2.4yescontinuedInflationch24ch22
13
902-04Tueexam 1ch24Practice Exam
14
1002-06Thu2.7yespg 29Inverse Proportionsch27ch24
15
1102-11Tue8.3, 8.4nonoExcel day: compound interest, graphing, rule of 72Spreadsheet Hw 2ch27
16
1202-13Thu3.1 to 3.3noTBDLinear functionsch31Spreadsheet Hw 2ch27
17
1302-18Tue3.5yespg 37-40Choose x versus yfinish worksheetSpreadsheet Hw 2
18
1402-20Thu3.5yescontinuedCorrelation vs Causationch35finish ch35 worksheetch31
19
02-25TueBreak week
20
02-27ThuBreak week
21
1503-03Tue4.1yespg 45-48Piecewise Linearch41pt1ch35finish ch35 worksheet
22
1603-05Thu4.1yespg 41-44Progressive, Regressive, Income Taxch41pt2, ch41pt3extrach41pt1ch35
23
1703-10Tue5.1nonoSampling, BiasesProject 1ch41pt2, ch41pt3extrach41pt1
24
1803-12Thu5.2nonoProbabilitych52TBDch41pt2, ch41pt3extra
25
1903-17Tue5.3nonoExpected Valuech53ch52TBD
26
2003-19Thu5.3, 5.4yesyesInsurance, Goals and Interpretations of Probabilitych54ch53ch52
27
2103-24Tueexam 2ch54Practice Exam
28
2203-26Thu6.1noHistogramsch61ch53; Project 1
29
2303-31Tue6.2nonoMean, Medianch62ch61ch54
30
2404-02ThuProject 2; Confidence Intervals via Randomization part 1Project 2; StatsHw1ch62ch61
31
2504-07TueConfidence Intervals via Randomization part 2StatsHw2Project 2; StatsHw1ch62
32
2604-09Thu6.3Standard Deviation, IQR, CV, Normal curveStatsHw3StatsHw2StatsHw1
33
2704-14Tuecontingency day, or Review dayProject 2
34
2804-16ThuReview dayStatsHw3StatsHw2
35
2904-21Tueno class; other classes having final examsStatsHw3
36
3004-23ThuFinal Exam, 11:00-12:30Practice Exam
37