## Fall 2018: Math 526 Applied statistics I.

**Instructor: **Guangqu ZHENG

**Email : **gzheng90@ku.edu

**Office : **641 Snow Hall

**Office Hours : *** Monday Wednesday and Friday* 3:00-3:50 and by appointment.

(**Attention**: the office hour on Wednesday Sept. 26 is moved to 3:00-3:50 on Sept. 25)

**Class Meeting Times : ***Monday Wednesday and Friday *2:00-2:50pm in **120 *** Snow Hall*.

**Time period :**August 20 Monday, 2018 (first lecture) — December 5 Wednesday, 2018 (last lecture); Final exam on Monday, December 10.

**Textbook**: *Probability & Statistics for Engineers and Scientists*, Walpole, Myers, Myers & Ye. Pearson, 9th edition, 2011.

**Prerequisites: **Multivariable calculus — Math 127 or Math 147 recommended.

**Course Description:** This is a calculus-based probability and statistic course. The course is divided into two parts: probability and statistics, which will cover the textbook mostly from Chapters 2 to 10; see also the Lecture notes by Prof. Terry Soo.

**Outline**：

Probability part: basic probability axioms, conditional probability, Bayes’ formula, dependence and independence, expectation, variance, laws of large numbers, central limit theorem, and some special distributions (*e.g.* binomial distribution, multinomial distribution, Poisson distribution, negative binomial distribution, normal distribution, uniform distribution, exponential distribution, etc.)

Statistic part: 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 (20%)**,

**two midterm exams (20%+20%)**and

**the final exam (40%)**.

- Homework should be turned in on every Wednesday
*right*before the class. (Assignments, see below) - Midterm exams will be in class:

Midterm 1**in class**: Wednesday,**Sept. 26**, 2018 (New!)

Midterm 2**in class**: Wednesday,**Oct. 31**, 2018 - Final: Monday, Dec. 10, 13:30 – 16:00.
- The room for the final exam will be announced later.

Extra material for Lecture 2: some basics on set theory

#### Homework are posted here: (due every Wednesday RIGHT before the class, Right before 2pm.)

**hw1** (due Wednesday *August 29*) [PDF], solution [PDF]

**hw2** (due Wednesday *September 5*) [PDF], solution [PDF]

**hw3** (due Wednesday *September 12*) [PDF], solution [PDF]

**hw4** (due Wednesday *September 19*) [PDF], solution [hw4-sol]

**hw5** (due Wednesday *September 26*) There is NO homework for this week. Instead, we will our first mid-term exam on Wednesday *September 26. *Here is a set of **review exercises** [PDF]

**hw6** (due Wednesday *October 3*) [PDF], solution [later]

**hw7** (due Wednesday *October 10*) [later], solution [later]

**hw8** (due Wednesday *October 17*) the week of Fall break …

**hw9** (due Wednesday *October 24*) [later], solution [later]

**hw10** (due Wednesday *October 31 *) There is no homework for this week. Instead, we will our second mid-term exam on Wednesday *October 31. *Here is a set of **review exercises** [PDF available later]

**hw11** (due Wednesday *November 7 *) [later], solution [later]

**hw12** (due Wednesday *November** 14 *) [later], solution [later]

**hw13** (due Wednesday *November** 21 *) the week of Thanksgiving holidays.

**hw14** (due Wednesday *November** 28 *) [later], solution [later]

**hw15** (due Wednesday *December** 5 *) [later], solution [later]

###### {In the Spring semester of 2019, I will also teach the Math 526 (Tuesday Thursday 1:00-2:15pm)}