本次北美网课代修主要为统计数学ST 421/521 Introduction to Mathematical Statistics，以下为该门课程的syllabus
Both lectures and recitations will be delivered synchronously during the scheduled times.
Attendance to lecture and recitation is required. There will be graded in-class activities
during the lectures. But all the lectures and recitations will be recorded. You are allowed to
submit your work for the in-class activity until 12pm of the day.
Mathematical Statistics with Applications, 7th Edition, byWacherly, Mandenhall and Scheaf-
First term of vector calculus (MTH 253 or MTH 254). In order to succeed in ST 421/521,
every student must have strong current knowledge of calculus. Students are strongly urged
to review the Calculus Topic List. Students should complete the Canvas Quiz on calcu-
lus exercises as a self-check of their calculus skills.The exercises, however, should NOT be
considered an exclusive list of mathematical skills necessary for this course.
This course will be taught remotely through zoom. Course information and announcements
will be posted on the Canvas. It is your responsibility to check canvas regularly for updates.
All quizzes and examinations will be conducted through Canvas as well.
ST421/521 is the first course of the mathematical statistics sequence. This course focuses on
the introduction to probability theory and basic concepts on random variables. It provides a
mathematical foundation for statistical inference. We will cover most of the materials from
Chapters 1-6 of the textbook.
Chapter 1: 1-1, 1-3 Chapter 4: 4-1 through 4-10
Chapter 2: 2-3 through 2-11 Chapter 5: 5-1 through 5-11
Chapter 3: 3-1 through 3-10 Chapter 6: 6-1 through 6-7
Students will be able to recognize sampling situations calling for the use of models frequently
encountered in statistical applications, and will be able to perform relevant calculations
for these models. They will be able to perform probability calculations for both discrete
and continuous random variables, including means,variances, moment generating functions,
conditional, joint and marginal distributions. They will be able to perform transformations
of random variables when appropriate.
Problems will be assigned throughout the week but will not be collected.
There will be ve quizzes. The quizzes will be held on Mondays and Wednesdays
during lecture times. Each quiz will consist of one or two problems identical or nearly
identical to the assigned homework problems. There will be no makeup quizzes.
There will be one midterms, and one nal. The nal will be cumulative.
All exams and quizzes will be held during lecture times. But you are allowed to submit
your work until 12pm of the day through canvas. If you are unable to take the exam,
contact the instructor before the exam. The excuses must be veriable. An unexcused,
missed exam will be counted zero.
The schedule for exams are:
Quiz 1 Wednesday, June 23 Quiz 2 Monday, June 28 Quiz 3 Wednesday, June 30
Midterm Wednesday, July 7 Quiz 4 Monday, July 12 Quiz 5 Wednesday, July 14
Final Thursday, July 15
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