• Welcome to choose this class. More information will come in late summer 2021.

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• 2021 Fall, Auburn University
• Contacts
• Course description
• Textbook
• Coverage
• Prerequisite
• Obligations and tips
• Homework
• Test and exam
• Important dates
• Attendance
• Assessment
• Slides
• Tentative schedule
• Gradescope
• Face Covering Policy
• Honor code
• Accessibility
• Harassment and Discrimination
• Feedback
• Acknowledgement

Lecture Instructor	Dr. Le Chen	lzc0090@auburn.edu
Teach Assistant	Yuan Yuan	yzy0014@auburn.edu
Class Time and Room	MWF, 12:00 PM -- 12:50 PM	PARKR 305
Office hours by Le	MW, 13:00 -- 14:00,	PARKR 203
Office hours by Yuan	Th, 12:00 -- 12:50,	PARKR 124

• When you send us emails, please do include the keyword STAT 3600 in the subject field of your email to ensure a timely response.

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Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. Probability theory lays the foundation for statistics and plays an important role in many applied fields such as artificial intelligence, data science, weather forecast, etc.

This course is the first course of the two-semester sequential courses -- STAT 3600 and STAT 3610. In this course, we will learn basics for probability theory, including random variables, independence, various discrete/continuous distributions, central limit theorem, moment generating functions, etc.

• "Probability and Statistical Inferences", by Hogg, Tanis and Zimmerman, 10th Ed.
• 

This course will cover topics such as combinatorics, basic probability concept, discrete and continuous random variables, classical probability distributions with an emphasis on Normal distribution, multivariate distributions, expected values, conditional probability, independence, moment generating function, central limit theorem. We will follow mostly most parts of the first five chapters of the text book:

• Chapter 1. Probability
• Chapter 2. Discrete distributions
• Chapter 3. Continuous distributions
• Chapter 4. Bivariate distributions
• Chapter 5. Distributions of functions of random variables

• MATH 1620 or MATH 1623 or MATH 1627 or MATH 1720.

This is a demanding course and it requires a great deal of work from your side. In order to successfully master the material and complete the course, you are expected to

• Read the textbook and attend lectures.
• Take the advantage of the office hours, which give you additional chance to interact with the instructor.
• Complete and submit weekly homework through Gradescope.
• Read solutions and any feedback you receive for each problem set.
• Complete both midterm test and the final exam.
• Use appropriate etiquette and treat other students with respect in all discussions.
• Do not hesitate to ask for help whenever needed.

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Note: The syllabus was created in July 2021, and it is subject to changes during the semester.

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• There will be about 12 weekly homework assignments scheduled as follows:

  Releasing	Due at
  Friday 6:00pm CST	The following Friday, 6pm CST

• No late homework will be accepted.
• You need to write details of some problems and upload your solutions to gradescope.
• The lowest grade will be dropped, that is, the final score for the homework will be averaged over the rest HWs.
  • Note that the drop policy is not a bonus. It aims at accounting for all circumstances such as
    sickness, injuries, family emergencies, religion holidays, etc.

• There will be one midterm test during the class session:
• Final exam will be cumulative.

  	Date/Time	Coverage
  Midterm Test	Oct. 01 Friday	Chapters 1 -- 3
  Final Exam	TBA	Chapters 1 -- 5, comprehensive

• Please note down the above dates. No late exam/test will be given.
• Makeup exams will only be allowed in extreme circumstances. Exams cannot be
  made up without a university-approved excuse. Any excuse must be submitted by
  the date of exam to be considered. Please refer to the Tiger Cub for the list
  of acceptable reasons for being absent from an exam or a test. Makeup
  exam/test has to be scheduled and made up in a timely manner.
• More details will come during the semester.

• Here are a list of due dates for 12 homeworks and one midterm test.

  Week	Friday	Homework		Others
  Week 1	08/20 6pm CST	HW01 releases
  Week 2	08/27 6pm CST	HW02 releases	HW01 is due
  Week 3	09/03 6pm CST	HW03 releases	HW02 is due
  Week 4	09/10 6pm CST	HW04 releases	HW03 is due
  Week 5	09/17 6pm CST	HW05 releases	HW04 is due
  Week 6	09/24 6pm CST	HW06 releases	HW05 is due
  Week 7	10/01 6pm CST		HW06 is due	Midterm Test
  Week 8	10/08 6pm CST			Fall Break
  Week 9	10/15 6pm CST	HW07 releases
  Week 10	10/22 6pm CST	HW08 releases	HW07 is due
  Week 11	10/29 6pm CST	HW09 releases	HW08 is due
  Week 12	11/05 6pm CST	HW10 releases	HW09 is due
  Week 13	11/11 6pm CST	HW11 releases	HW10 is due
  Week 14	11/18 6pm CST	HW12 releases	HW11 is due
  Week 15	11/25 6pm CST			Thanksgiving break
  Week 16	12/02 6pm CST		HW12 is due

• We will check the attendance randomly during the semester but not at each class meeting.
• Attendance will not directly counted into your final score.
• But sufficient attendance will make your eligible for grade curving at the end of semester.

• The final score will be determined as follows:
• 
• Based on the final score (plus potential bonus points), the final letter grade will be
  determined as follows:

  Grade (+)		Grade		Grade (-)
  		A	92%-100%	A-	90%-91.9%
  B+	87%-89.9%	B	82%-86.9%	B-	80%-81.9%
  C+	77%-87.9%	C	72%-76.9%	C-	70%-71.9%
  D+	67%-67.9%	D	67%-67.9%	D-	60%-61.9%
  		F	0%-59.9%

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• Slides will be updated constantly throughout the semester and please check the time stamp on the front page.
• I strongly encourage you to study in advance.

  Chapter/Section	Slides	Slides
  Chapter 1: Probability	presentation	handout
  1.1 Properties of Probability	presentation	handout
  1.2 Methods of Enumeration	presentation	handout
  1.3 Conditional Probability	presentation	handout
  1.4 Independent Events	presentation	handout
  1.5 Bayes' Theorem	presentation	handout
  Chapter 2: Discrete Distributions	presentation	handout
  2.1 Random Variables of the Discrete Type	presentation	handout
  2.2 Mathematical Expectation	presentation	handout
  2.3 Special Mathematical Expectation	presentation	handout
  2.4 The Binomial Distribution	presentation	handout
  2.5 The Hypergeometric Distribution	presentation	handout
  2.6 The Negative Binomial Distribution	presentation	handout
  2.7 The Poisson Distribution	presentation	handout
  Chapter 3: Continuous Distributions	presentation	handout
  3.1 Random Variables of the Continuous Type	presentation	handout
  3.2 The Exponential, Gamma, and Chi-Square Distributions	presentation	handout
  3.3 The Normal Distributions	presentation	handout
  3.4 Additional Models	presentation	handout
  Chapter 4: Bivariate Distributions	presentation	handout
  4.1 Bivariate Distributions of the Discrete Type	presentation	handout
  4.2 The Correlation Coefficient	presentation	handout
  4.3 Conditional Distributions	presentation	handout
  4.4 Bivariate Distributions of the Continuous Type	presentation	handout
  4.5 The Bivariate Normal Distribution	presentation	handout
  Chapter 5: Distributions of Functions of Random Variables	presentation	handout
  5.1 Functions of One Random Variable	presentation	handout
  5.2 Transformations of Two Random Variables	presentation	handout
  5.3 Several Random Variables	presentation	handout
  5.4 The Moment-Generating Function Technique	presentation	handout
  5.5 Random Functions Associated with Normal Distributions	presentation	handout
  5.6 The Central Limit Theorem	presentation	handout
  5.7 Approximations for Discrete Distributions	presentation	handout
  5.8 Chebyshev's Inequality and Convergence in Probability	presentation	handout
  5.9 Limiting Moment-Generating Functions	presentation	handout

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• Below is the tentative schedule that may change during the semester:

  	Monday -- Friday	Coverage	Test
  Week 1	08/16 -- 08/20	1.1 -- 1.2
  Week 2	08/23 -- 08/27	1.3 -- 1.5
  Week 3	08/30 -- 09/03	2.1 -- 2.3
  Week 4	09/06 -- 09/10	2.4 -- 2.7
  Week 5	09/13 -- 09/17	3.1 -- 3.2
  Week 6	09/20 -- 09/24	3.3 -- 3.4
  Week 7	09/27 -- 10/01	Reviewing	Midterm Test on Friday
  Week 8	10/04 -- 10/08		Fall Break week
  Week 9	10/11 -- 10/15	4.1 -- 4.3
  Week 10	10/18 -- 10/22	4.4 -- 4.5
  Week 11	10/25 -- 10/29	5.1 -- 5.2
  Week 12	11/01 -- 11/05	5.3 -- 5.4
  Week 13	11/08 -- 11/12	5.5 -- 5.6
  Week 14	11/15 -- 11/19	5.7 -- 5.9
  Week 15	11/22 -- 11/26		Thanksgiving Week
  Week 16	11/29 -- 12/02	Reviewing

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• We will use gradescope to handle submissions of homework, which allows
  us to provide fast and accurate feedback on your work.
• As soon as grades are posted, you will be notified immediately so that you can log in and see your
  grades and feedback.
• Your Gradescope login is your university email, and your password can be changed there. The same
  link can be used if you need to set your password for the first time.
  • You should will receive an email from Gradescope for the registration by 2021-08-16;
  • If you do not receive this email, please use the Entry Code to register yourself: TBD.
• If you have any questions regarding Gradescope, please send your message to
  • help@gradescope.com
• Printer+scanner or tablet
  • The easiest way to submit the homework/tests/exams is the following steps:
    1. print the given template;
    2. complete the problem sets;
    3. scan the resulting paper (make sure it is legible);
    4. upload the scanned file to gradescope.
  • Alternatively, if you have a tablet that you can write on it, you may simply write on the
    template pdf file and upload the resulting file.
  • Make sure that you make the correct association of your solutions to the problems.
  • Double check your scan quality and make sure your solutions are legible.
• The following short video (1 minutes 40 seconds) shows the basic usage of gradescope, which should
  explain everything you need to be able to do.

• More instruction will be available towards the Fall 2021.

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We will follow the university policy regarding face covering:

Students enrolled in this course are required to wear a face covering that covers the nose and mouth
while inside the classroom, laboratory, faculty member offices, or group instructional spaces.
Failure to comply with this requirement represents a potential violation of Code of Student Conduct
and may be reported as a non-academic violation.

Please consult the Auburn University Classroom Behavior Policy at

• https://sites.auburn.edu/admin/universitypolicies/Policies/PolicyonClassroomBehavior.pdf

for additional details.

• Students should familiarize themselves with Auburn honor code here
  • https://www.auburn.edu/academic/provost/academic-honesty/.
• Students are encouraged to share ideas and solutions on problem sets and labs, but must
  express those ideas in their own words in their submitted work.
• Students are not authorized to view or use the work of another student during exams.

Your success in this class is important to me. We will all need accommodations because we all learn differently. If there are aspects of this course that prevent you from learning or exclude you, please let me know as soon as possible. Together we will develop strategies to meet both your needs and the requirements of the course.

I encourage you to visit the Office of Accessibility to determine how you could improve your learning as well. You can register and make a request for services from the Office of Accessibility. In this case, please do inform me of such requests. See the following link for more information:

• https://accessibility.auburn.edu/

• According to Auburn University policies: http://auburn.edu/administration/aaeeo/H&D.php

Auburn University is committed to providing a working and academic environment free from prohibited
discrimination and harassment and to fostering a nurturing and vibrant community founded upon the
fundamental dignity and worth of all its members. Auburn University prohibits harassment of its
students and employees based on protected classes and works to eliminate prohibited behavior from
its academics and employment through corrective measures and education.

The Office of AA/EEO oversees compliance with the Policy Prohibiting Harassment of Students, the
Policy Prohibiting Harassment of Employees, and the Policy on Sexual and Gender-Based Harassment and
Other Forms of Interpersonal Violence.

Protected classes are race, color, sex (which includes sexual orientation, gender identity, and
gender expression), religion, national origin, age, disability, protected veteran status, or genetic
information.

Auburn University also prohibits retaliation against any individual for opposing a practice he/she
reasonably believed to be discriminatory; for filing an internal or external complaint, grievance,
or charge; or for participating in any investigation or proceeding, in accordance with Auburn
University's policies.

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• Your feedbacks are important for us to improve the teaching and make the learning process more
  effective and enjoyable.
• Here are two ways that you could let me know what your think:
  1. You may send me an email.
  2. If you want to send me some feedback in an anonymous way, you may fill in the following form:

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