CRN: 11173

Course description:

This is an undergraduate level course on probability. I will cover the following topics:

• Foundations of a mathematical probability theory
• basic combinatorial probability
• Discrete random variables in one dimension
• Continuous random variables in one dimension
• Random variables in multiple dimensions (needs strong background in multivariable calculus!)
• Expectations, conditioning, moment-generating functions
• Order statistics
• Sampling models and sampling distributions
• Convergence of random sequences and limit theorems

General course info / Math 447 Section 1 web site:

There is a course website for Math 447 Section 1, and this syllabus is published both as part of that site, but also as a standalone version on the Mycourses (BrightSpace) site. You can link to my Math 447 site from my instructor's home page. Here is a direct link to the Math 447 Section 1 web site.

Prerequisites:    

Math 323 (multi-variable calculus) on a C- level. In particular, you need a good understanding of series and of integration of functions in one and several variables.

Helpful , but not required:

Basics of linear algebra: I will treat a sample as an n-dimensional vector. See the bottom of the Course material page of the Math 447 website for more.

Course material:    

• Mathematical Statistics with Applications, by Wackerly, Mendenhall, and Scheaffer. We abbreviate this as WMS. (Required!)
• My Math 447 lecture notes. They can be downloaded from this site's Course Material page. (Required!)
• Additional resources can be found on the Course material page of the Math 447 website.

Lectures during campus wide class cancellations:

BU admin leaves it at the discretion of the instructor whether or not lectures will be held in case of a cancellation due to inclement weather or other circumstances that transportation to/from campus is suspended.

My policy for this situation, should it occur, is as follows.

• I will hold lecture via Zoom. I will create a separate session for each such meeting and publish the link for the meeting via email. This may happen on short notice, so check your email for an announcement in case there is a campus wide cancellation of classes.
• I plan to record those sessions and publish the links on the course materials page.
• If a midterm or quiz is scheduled during such a date, then it will be administered during the next in-class lecture date.

MyCourses (Brightspace):

I plan to use Brightspace as little as possible. I will only use this software to keep track of your grades. In particular, all written announcements will be made on the announcement page of this course site and/or by email.

Record keeping:

Stay on top of your grades! If your grade is incorrect you must contact me immediately.

You must retain all returned papers in case of any discrepancy with your course grade. I cannot correct mistakes in grading or recording of scores without the original document. I won't review disputed points after the final. All grading issues must be settled within one week of the return of the paper.

Exams:

• There will be three midterm exams and one final exam. See the home page of this site for more info.
• No notes, books, cell phones, laptops or calculators are allowed
• Exam dates can be found on the course home page and schedule page. Make all arrangements necessary to take the tests at those dates. It is extremely unlikely that they will be changed.

Final exam:

I have published the date for your convenience on my home and schedule pages. I advise you to double-check with the official schedule. If there are any discrepancies, they are right and I am wrong.

Date and time for all finals are set by the office of records (registrar) and there is no flexibility. Do not make travel arrangements that will have you leave campus prior to the final. You can request a makeup final only if you have another final at the same time (direct conflict) or you have three final exams scheduled within 24 hours. The makeup will be given after the regular final, not before. If you want to request to take the alternate final, then you must do so by Monday, April 22, by sending me an email.

Quizzes:

• There will be at least 15 quizzes. The three lowest grades will be discarded.
• The sum of points of the other quizzes will be scaled to 300.
• No notes, books, cell phones, or laptops are allowed. for the major exams. By default, neither are calculators.
• Should I allow calculators for a specific quiz (very unlikely), then note the following:
  • Calculators can have statistical functions, but they cannot be graphing calculators, they cannot be programmable and cannot have internet access.
• The number of quizzes depends on how well the class understands the material.
• Additional quizzes will be given if the class needs to do better. Quizzes will usually not be announced.

Homework:

• Homework usually will be assigned weekly, but it will not be graded.
• Some Homework will not be graded at all, other Homework may only have part of its problems graded.
• Rather, homework assignments or just some fragments will become part of the quizzes and you very likely will run out of time if you did not familiarize yourself with the homework.

Students With Disabilities:

Students requesting disability-related accommodations should register with the Services for Students with Disabilities office (SSD). They are the appropriate entity on campus to determine and authorize disability-related accommodations. For more info please click here. Once you are registered with SSD you should approach me during office hours or after lecture so that you and I can discuss the implementation of your accommodations.

Your grade:

You can earn a total of 1,000 points in this course:

TENTATIVE grading scale (unlikely to be adjusted):

Covid:

An entire web page has been created for this issue. You can navigate to it from any of the other pages by using the nav bar at the top of the page. For your convenience here is a direct link .

Success:

See the Advice page of the Math 447 website.

From the Harpur Dean's Office - Course expectations and credit hours:

The following was copied verbatim from the section "4-credit courses" of this BU web page.

For Fall/Spring semester-long 4-credit courses that meet in the standard 3-day or 2-day meeting patterns:

This course is a 4-credit course, which means that in addition to the scheduled lectures/discussions, students are expected to do at least 9.5 hours of course-related work each week during the semester. This includes things like: completing assigned readings, participating in lab sessions, studying for tests and examinations, preparing written assignments, completing internship or clinical placement requirements, and other tasks that must be completed to earn credit in the course.

Attendance Policy and Make-up Policy:

• Attendance will not be taken, but you are advised not to skip lecture: If you cannot spare the time to go to lecture then you should consider dropping/withdrawing from the course before your GPA is messed up.
• There will be no make-ups for the first two missed quizzes and homework assignments, since those will be discarded.
• For all subsequent exams and quizzes you miss: Make-ups will only be given in response to an excused absence. Excused absences include illness, religious holidays, a major tragedy in the family, and participation in official BU athletic events.
• To be excused, absences must be properly documented. The document should be issued to you at the day of the test. The makeup will be scheduled within 3 or 4 days after the missed exam. You must request a make-up in writing by sending an email.
• Except in very exceptional circumstances such as a prolongued illness, you will NOT be given the opportunity to complete old assignments at the end of the semester to improve your grades.
• When you receive a grade, whether on MyCourses or in class, you will have one week to discuss that grade before it becomes FINAL.

ChatGPT and other Generative AI tools:

You may use generative AI. I do not consider it an issue for the following reasons.

• All exams and quizzes are taken in class without access to the internet and they make up 100% of the grade.

Academic Honesty:

Incidents of academic dishonesty will be dealt with severely. There is precedent for giving an "F" for the course to a student who attempts to advance his/her grade illegally.

Dishonesty includes, but is not limited to:

• Copying another student's work
• Letting someone copy your work
• lying to or intentionally misleading an instructor
• Signing someone else's name to a document
• Homework assignments only: only having your name on the PDF but not understanding the proofs.
• I will make spot checks of exams, quizzes and homework to ascertain that the student obtained the correct answers on her/his own.

To eliminate suspicion, only writing/erasing utensils will be permitted on desks during an in-class exam.

Best wishes for a successful semester!

Michael Fochler