MATH 526 Applied Mathematical Statistics I (2016 Spring)
2016 Spring, University of Kansas
Instructor: Le Chen
Email : chenle@ku.edu
Office : Snow Hall, 541
Office Hours : MWF 11:00-11:50 or by appointment
Class Meeting Times : MWF 10:00-10:50 in Snow Hall 120
Time period : January 20, 2016 (first lecture) --- May 4, 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 Monday right before or after the lecture. (Assignments, see below)
- Midterm exams will be in class:
Midterm 1: Wednesday, Feb. 17.
Midterm 2: Friday, April 8.
Final: Friday, May 13, 7:30--10:00 am.
- The date for the final exam will be announced latter.
Later homework will not be accepted.
There will be no make-up exam.
Announcement: Student within-class number will be assigned to each student on blackboard system. Please use the number for both homework and exams.
Two projects for bonus points are avaible now: secifications.
The deadline is May 4.
Some statistics
Assignments of homework
- Week 1 (due on Jan. 25):
- Wednesday: 2.14, 2.17.
- Friday: 2.19, 2.20.
- Solutions
- Week 2 (due on Feb. 1):
- Monday: 2.32, 2.36, 2.38, 2.40.
- Wednesday: 2.43, 2.45, 2.46, 2.48.
- Friday: 2.49, 2.51, 2.58, 2.59.
- Solutions
- Week 3 (due on Feb. 8):
- Monday: 2.73, 2.74, 2.76, 2.77.
- Wednesday: 2.78, 2.80, 2.82, 2.89.
- Friday: 2.90, 2.92.
- Solutions
- Week 4 (due on Feb. 15):
- Monday: 2.95, 2.97, 3.2, 3.4.
- Wednesday: 3.5, 3.6, 3.10, 3.36.
- Friday: 3.38, 3.40, 3.44, 3.49.
- Solutions
- Week 5 (due on Feb. 22):
- Week 6 (due on Feb. 29):
- Monday: 4.34, 4.43, 4.45, 4.52.
- Wednesday: 4.57, 4.58, 4.62, 4.63, 5.9, 5.18.
- Friday: 5.23, 5.29, 5.31, 5.32.
- Solutions
- Week 7 (due on Mar. 7):
- Monday: 5.49, 5.50, 5.55.
- Wednesday: 5.58, 5.62, 5.63, 6.1, 6.2.
- Friday: 6.4, 6.6, 6.7.
- Solutions
- Week 8 (due on Mar. 21):
- Week 9 (due on Mar. 28):
- Monday: 8.17, 8.20, 8.21, 8.23, 8.26, 8.29.
- Wednesday: 8.31, 8.33, 8.34, 8.37, 8.38, 8.41, 8.42.
- Friday: 6.40, 6.41, 6.44.
- Solutions
- Week 10 (due on April 4):
- Monday: 6.48, 6.49 (c), 8.44, 8.45.
- Wednesday: 8.46, 8.47, 8.48, 8.51.
- Friday: 8.52, 8.53.
- Solutions
- Week 11 (due on April 11):
- Week 12 (due on April 18):
- Monday: 9.5(a), 9.6, 9.11, 9.14, 9.20.
- Wednesday: 9.36, 9.38, 9.46.
- Friday: 9.53, 9.58, 9.62.
- Solutions
- Week 13 (due on April 25):
- Monday: 9.66, 9.72, 9.78.
- Wednesday: 10.1, 10.3, 10.4, 10.6.
- Friday: 10.7, 10.8, 10.11, 10.14. (For 10.7 and 10.11, use the normal approximation)
- Solutions
- Week 14 (due on May 2):
- Monday: 10.20, 10.26, 10.28, 10.40.
- Wednesday: 10.56, 10.58, 10.64, 10.67, 10.73.
- Friday: 10.80, 10.86.
- Solutions
- Week 15:
- Monday:
- Wednesday: (Reviewing class)