





Math 3680.003: Spring 2012
Meets: TR 8:00-9:20 in Discovery Park, Room B185.
Instructor: Professor John
Quintanilla
Office: GAB, Room 418-D
Office Phone: x4043
E-mail: jquintanilla@unt.edu
Web page: http://www.math.unt.edu/~johnq/Courses/2012spring/3680/
Office Hours: T 10-12, W 10:15-12:15, or by appointment. I'm fairly
easy to find, and you're welcome to drop by outside of office hours without an
appointment. However, there will be occasions when I'll be busy, and I may ask
you to wait or come back later.
Required Text: Statistics for the Sciences,
by M. Buntinas and G. M. Funk.
Strongly Recommended: Lecture notes for the
semester are available at the UNT Copy Center for approximately $18.
Technology: You will be expected
to bring to class --- including exams --- either a laptop computer with a
spreadsheet program (such as Microsoft Excel or Open Office Calc)
or else a calculator that can perform multiple statistical functions. In class,
I will demonstrate how to use Microsoft Excel and a TI-83 Plus to perform
various statistical functions. If you have some other kind of calculator, you
are welcome to ask me before or after class about how to use its statistical
functions.
Course Description: Descriptive statistics, elements of probability,
random variables, confidence intervals, hypothesis testing, regression,
contingency tables.
Prerequisite: Math 1710 and Math 1720 (may be taken concurrently).
Course Topics
The following chapters and sections of the textbook will be
covered according to the projected schedule below. Dates may change as events
warrant.
- Chapter 2: How to
Describe and Summarize Data
- 2.1 Variables and
Data Sets
- 2.2 Categorical Data
- 2.3 Ordinal Data
- 2.4 Ratio Data
- 2.5 Frequency Tables
and Histograms
- 2.6 Grouped Data and Sturge's Rule
- 2.7 Stem-and-Leaf
Plot
- 2.8 Five-Number
Summary
- 2.9 Box Plot
- 2.10 The Mean
- 2.11 Variance and
Standard Deviation
- Chapter 3: Probability
- 3.1 Overview
- 3.2 Definitions
- 3.3 Probabilities of
Events
- 3.4 Rules of Probability
- 3.5 Tree Diagrams
- Chapter 4: Discrete
Random Variables
- 4.1 Introduction
- 4.2 Basic Properties
- 4.3 Probability
Histograms
- 4.4 Expected Value or
Mean
- 4.6 Variance and
Standard Deviation
- Chapter 5: Random
Variables for Success/Failure Experiments
- 5.2 Binomial Random
Variables
- 5.3 Hypergeometric Random Variables
- Chapter 6:
Introduction to Hypothesis Testing
- 6.1 Overview
- 6.2 Two Types of
Error
- 6.3 The Sign Test
- 6.4 Binomial Exact
Test
- Chapter 7: Continuous
Random Variables
- 7.1 Basic Properties
- 7.2 Percentiles and
Modes
- 7.3 Expected Value or
Mean
- 7.5 Variance and
Standard Deviation
- Chapter 8: Normal
Random Variables
- 8.1 Introduction
- 8.2 Normal
Approximation of Binomial
- 8.3 Continuity
Correction
- 8.4 Central Limit
Theorem
- Chapter 10: Two or
More Random Variables
- 10.4 Linear
Combination of Random Variables
- Chapter 11: Sampling
Experiments and the Law of Averages
- 11.1 Populations and
Parameters
- 11.2 Samples and
Statistics
- 11.3 Law of Averages
for the Sample Count
- 11.4 Law of Averages
for the Sample Sum
- 11.5 Law of Averages
for the Sample Proportion
- 11.6 Law of Averages
for the Sample Mean
- 11.7 The Z Statistic
- Chapter 12: The z and
t Tests of Hypothesis
- 12.1 The z Test
- 12.2 Two-Sided z Test
- 12.3 Bootstrapping
and the t Test
- Chapter 13: Estimation
with Confidence
- 13.1 Difference
between Confidence and Probability
- 13.2 Two-Sided
Confidence Intervals
- 13.4 Bootstrapping
and the t Curves
- 13.5 Margin of Error
and Sample Size
- 13.6 Interval Estimate
of Proportion
- Chapter 14: Two-Sample
Inference
- 14.1 Matched Pair
Samples
- 14.2 Independent
Samples
- 14.3 Welch's Formula
- 14.4 Independent
Samples with Equal Variances
- Chapter 15:
Correlation and Regression
- 15.1 Introduction
- 15.2 Scatter Plots
- 15.3 The Correlation
Coefficient
- 15.4 Fitting a
Scatter Plot by Eye
- 15.5 The Regression
Line
- 15.6 Estimation with
Regression
- 15.7 The Regression
Paradox
- 15.8 Testing for
Correlation
- 15.9 Correlation is
not Causation
- Chapter 16: Inference
with Categorical Data
- 16.1 Introduction
- 16.2 Comments on the
Definition of x2
- 16.3 Testing Goodness
of Fit
- 16.4 Contingency
Table Tests
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January 17: 2.1-9
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January 19: 2.10, 11
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January 24: 3.1-4
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January 26: 3.5, 4.1-6
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January 31: 5.2-3
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February 2: 6.1-2
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February 7: Review
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February 9: Exam #1
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February 14: 6.3-4
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February 16: 6.4, 7. 1-5
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February 21: 16.1-3
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February 23: 16.3-4
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February 28: 8.1-2
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March 1: 8.3-4, 11.1-3
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March 6: Review
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March 8: Exam #2
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March 13: 10.4, 11.4-5
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March 15: 11.6, 12.1
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SPRING BREAK
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March 27: 12.1, 2
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March 29: 12.3, 13.1-2
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April 3: 13.4-6
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April 5: 14.1-2
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April 10: Review
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April 12: Exam #3
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April 17: 14.3-4
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April 19: 15.1-5
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April 24: 15.6-9
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April 26: Polling
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May 1: Medical trials
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May 3: Review
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May 10: Final
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Student Responsibilities
- Student behavior that
interferes with an instructor's ability to conduct a class or other
students' opportunity to learn is unacceptable and disruptive and will not
be tolerated in any instructional forum at UNT. Students engaging in
unacceptable behavior will be directed to leave the classroom and the
instructor may refer the student to the Center for Student Rights and
Responsibilities to consider whether the student's conduct violated the Code of Student Conduct. The
university's expectations for student conduct apply to all instructional
forums, including university and electronic classroom, labs, discussion
groups, field trips, etc.
- You should read over
this syllabus carefully, as I will hold you responsible for the
information herein.
- Students will be
expected to read the chapters carefully, including the examples in the
book.
- Students will be
responsible for obtaining any and all handouts. If you are not in class
when handouts are given, it is your responsibility to obtain
copies.
- You should begin working
now. Frequent
practice is crucial to the successful completion of a mathematics course.
Cramming at the last minute will certainly lead to failure.
- WARNING: If you are in academic
trouble, or are in danger of losing your financial support, or if your
parent or guardian is expecting a certain grade at the end of the
semester... start working today. I will refuse to listen to any pleas at
the end of the semester. You will receive precisely the grade that you earn.
Grading Policies
You may find the advice
of former Math 3680 students helpful.
The following schedule is tentative and is subject to capricious changes in
case of extracurricular events deemed sufficiently important to the upper
administration.
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Final Exam
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Thursday, May 10
8:00-10:00 am
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27%
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Exam 1
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c. Week 4
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21%
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Exam 2
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c. Week 8
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21%
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Exam 3
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c. Week 12
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21%
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Homework
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10%
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A
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90% and above
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B
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80% and below 90%
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C
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70% and below 80%
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D
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60% and below 70%
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F
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below 60%
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Cooperation is encouraged in doing the homework assignments. However, cheating
will not be tolerated on the exams. If you are caught cheating, you will be
subject to any penalty the instructor deems appropriate, up to and including
an automatic F for the course.
Attendance is not required for this class. However, you will be responsible
for everything that I cover in class, even if you are absent. It is my
experience that students who skip class frequently make poorer grades than
students who attend class regularly. You should consider this if you don't
think you'll be able to wake up in time for class consistently.
The grade of "I" is designed for students who are unable to
complete work in a course but who are currently passing the course. The
guidelines are clearly spelled out in the Student Handbook. Before you
ask, you should read these requirements.
Exam Policies
- Unless announced
otherwise, calculators will not be permitted for use on exams.
- I expect to give exams
during the weeks above. However, these are tentative dates. I will
announce the exact date of each exam in class.
- After exams are returned
in class, you have 48 hours to appeal your grade. I will not listen to any
appeals after this 48-hour period.
- I will not drop the
lowest exam score; all will count toward the final grade.
- No make
up exams will be given. For those students who miss an exam due to
an Authorized Absence (see the Student Handbook), the final
grade will be computed based only on those exams taken, together with
homework/quiz scores and the final exam. Such students will be required to
provide official written verification of such an absence.
- Students missing an exam
for unauthorized reasons will receive 0 (zero) points on the exam.
- The Final Examination
will be comprehensive in the sense that problems may come from any of the
sections that will be covered during the semester.
- The grade of A signifies
consistent excellence over the course of the semester. In
particular, an A on the final is not equivalent to an A for the course.
- I reserve the right to
test and quiz you on problems which are generalizations of material
covered in the class and/or in the text. In short, the problems may not
look exactly like the ones in the book.
- Everything that I say in
class is fair game for exam material. You will be responsible for
everything unless I advise you to the contrary.
Homework Policies
- Homework will be
assigned every Thursday and will be due the following Thursday.
- I expect the assignments
that you turn in to be written up carefully and neatly, with the answers
clearly marked. You must show all of your work. Messy homework will not
be accepted.
- Entire homework
assignments will not be graded. Instead, only two or three
representative problems will be graded per assignment. As a consequence,
it will be possible to not do the entire assignment and still receive a
perfect score on that particular assignment. Deliberately leaving
homework uncompleted is highly unrecommended,
however, as the law of averages will surely catch up with you as the
semester progresses.
- When computing grades, I
will drop the two lowest homework grades before computing the
homework average. Therefore, in principle, you could get a 100% homework
score and also not turn in two assignments during the semester. I have
this policy in case you get sick, a family
emergency arises, etc., during the semester. You will still be responsible
for the material in such assignments during the examinations.
- Because of this policy,
I will not give extensions on homework assignments, nor will I
accept late assignments.
Note to TNT Students
- If you’re pursuing
secondary teacher certification through Teach North Texas, then you may be
aware that you will be required to construct a preliminary teaching
portfolio in EDSE 4500 (Project-Based Instruction) and a final portfolio during
your final semester of student teaching. Section 2 of this portfolio will
ask you to demonstrate your knowledge of your content field. You may find
that some of the assignments may naturally become artifacts toward part of
this task, and so I encourage you to keep your work after the semester is
over to make the eventual construction of your portfolio easier. You may
even want to write (and save for later) a brief reflection on the artifact
you select, rather than try to remember why the artifact you chose was
important once you reach EDSE 4500.
- The specific indicators
in the portfolio related to knowledge of mathematical content are as
follows:
- Reflect on one or more
artifacts in which you state a mathematical theorem or conjecture and
apply both formal and informal mathematical reasoning to the same
conjecture.
- Reflect on one or more
artifacts that show your ability to describe a mathematical concept that
can be represented in multiple ways and articulate the connections
between its representations in clear, expository prose. Where relevant,
identify appropriate technology for exploring the concept and explain
limits the technology may place on the knowledge acquired.
- Reflect on one or more
artifacts that show your ability to generate a model of a natural
phenomenon or describe an already existing model and evaluate how well
the model represents the situation, including consideration of the risks,
costs, and benefits of the alternatives.
- Reflect on one or more
artifacts that show your ability to identify a topic in your subject area
and describe its connection with prerequisite topics, future topics, and
other subjects.
- Reflect on one of more
artifacts that show how you bring out the historical and cultural
importance of your subject material, its contribution to large ideas, and
its significance in today’s society. Include a specific lesson plan
that incorporates the general history and cultural context of modern
science or of mathematics as these fields have evolved.
- Just to be clear: the
above is a suggestion for TNT students. This is NOT a course requirement
for Math 3680.
Final Note
In compliance with the Americans with Disabilities Act, I
mention the following: It is the responsibility of students with certified
disabilities to provide the instructor with appropriate documentation from the
Dean of Students Office.





