MATH 526 Applied Mathematical Statistics I
2016 Fall, University of Kansas
Instructor: Le Chen
Email : chenle@ku.edu
Office : Snow Hall, 541
Office Hours : TR 11:00-11:50 or by appointment
Class Meeting Times : TR 9:30-10:45 in 2074 Malott
Time period : August 23, 2016 (first lecture) --- December 8, 2016 (last lecture)
Textbook:
Custom Mathematics:
Probability & Statistics for Engineers, by Ronald E. Walpole, Raymong H. Myers, Sharon L. Myers and Keying Ye, Pearson 2012.
Course Description:
This is a calculus based probability and statistic course.
The course contains two parts: probability and statistics,
which will cover the above textbook mostly from Chapters 2 to 10.
- For the probability part, the content will include basic probability theory, conditional probability,
Bayes formula, dependence and independence, expectation, variance, laws of large numbers, central limit theorem,
and some special distributions such as binomial distribution,
multinomial distribution, Poisson distribution, negative binomial distribution, normal distribution,
uniform distribution, exponential distribution, etc.
- As for the statistic part, we will study fundamental sampling, data presentations,
one- and two-sample estimations, one- and two-sample hypotheses tests,
and some related distributions such as Student t-distribution, Chi distribution, F distribution, etc.
Grading Policy:
There will be weekly homework (25%), two midterm exams (20%+20%) and the final exam (35%).
- Homework should be turned in on every Tuesday right before or after the lecture. (Assignments, see below)
- Midterm exams will be in class:
Midterm 1: Thursday, Sept. 22.
Midterm 2: Tuesday, Nov. 8.
Final: Wednesday, Dec. 14, 7:30-10:00 am. You can bring the following table.
Later homework will not be accepted.
There will be no make-up exam.
Announcement: An "In_Class_ID" will be assigned to each student on blackboard system. This is a number between 1 and 60. Please use the number for both homework and exams.
Some statistics
Assignments of homework
- Week 1:
- Tuesday: 2.14, 2.17, 2.19, 2.20.
- Thursday: 2.32, 2.36, 2.38, 2.40, 2.43, 2.45, 2.46, 2.48.
- Solutions
- Week 2:
- Tuesday: 2.49, 2.51, 2.58, 2.59, 2.73, 2.74.
- Thursday: 2.76, 2.77, 2.78, 2.80, 2.82, 2.89, 2.90, 2.92.
- Solutions
- Week 3:
- Tuesday: 2.93, 2.94.
- Thursday: 2.95, 2.97, 3.2, 3.4, 3.5.
- Solutions
- Week 4:
- Tuesday: 3.6, 3.10, 3.36, 3.38, 3.40.
- Thursday: 3.44, 3.47, 3.49, 3.56.
- Solutions
- Week 5:
- Tuesday: 4.2, 4.4, 4.12, 4.17, 4.23, 4.26, 4.30.
- Thursday: First Midterm Exam. Solutions
- Solutions
- Week 6:
- Tuesday: 4.34, 4.43, 4.45, 4.52.
- Thursday: 4.57, 4.58, 4.62, 4.63.
- Solutions
- Week 7:
- Tuesday: 4.77, 4.78, 5.9, 5.18, 5.23.
- Thursday: 5.29, 5.31, 5.32, 5.49, 5.50, 5.55.
- Week 8:
- Tuesday: Fall break
- Thursday: 5.58, 5.62, 5.63, 6.1, 6.2, 6.4.
- Solutions
- Week 9:
- Tuesday: 6.6, 6.7, 6.8, 6.13, 6.22, 6.23.
- Thursday: 6.24, 6.32, 6.39, 6.40, 6.41, 6.44.
- Solutions
- Week 10:
- Tuesday: 8.3, 8.5, 8.8, 8.13, 8.16.
- Thursday: 8.17, 8.20, 8.21, 8.23, 8.26, 8.29.
- Solutions
- Week 11:
- Tuesday: 6.48, 6.49 (c), 8.31, 8.34, 8.37, 8.38, 8.41, 8.42.
- Thursday: Reviewing class, no homework
- Week 12:
- Thursday: 8.44, 8.45, 8.46, 8.47, 8.48, 8.51, 8.52, 8.53.
- Solutions
Week 13:
- Tuesday: 9.2, 9.4, 9.5(a), 9.6, 9.11, 9.14.
- Thursday: 9.20, 9.29.
- Solutions
Week 14:
- Tuesday: 9.36, 9.38, 9.46, 9.53, 9.58, 9.62, 9.66.
- Thursday: Happy Thanksgiving, no homework.
- Solutions
Week 15:
- Tuesday: 10.1, 10.3, 10.4, 10.6, 10.8, 10.14.
- Thursday: 10. 20, 10.26, 10.28, 10.40.
- Solutions
Week 16:
- Tuesday: 10.80, 10.86. (Bonus problems, due on Thursday in class)
- Thursday: Reviewing class.
- Solutions