# Stat 345: Elements of Mathematical Statistics and Probability

**Stat 345 Syllabus**

**STAT 345: ELEMENTS OF MATHEMATICAL STATISTICS AND PROBABILITY**

FALL 2014

MWF11:00am-11:50am

Castetter Hall (Biology)

INSTRUCTOR:Dr. Guoyi Zhang

E-MAIL:

OFFICE:SMLC 318

Phone: (505)2774744

**OFFICE HOURS:MWF 14:00Pm-15:00pm or by appointment**

WEB PAGE:http://www.math.unm.edu/~gzhang12/

TEXT:*Applied Statistics and Probability for Engineers, Fifth Edition* by Douglas C. Montgomery and George C. Runger, John Wiley and Sons, Inc.

OBJECTIVES:

This course provides an introduction to probability theory and statistical inference. We will cover most of Chapters 2-5, and portions of Chapters 6-9. Chapters 2-5 concentrate on probability, including combinatorics, Bayes' theorem, probability distributions, expectation, variance and correlation. Chapters 6-9 introduce point estimation, confidence intervals, and hypothesis testing.

This course has been designed for computer science and engineering students; however, it is broad enough for students from outside these disciplines.

PREREQUISITES:

At least one semester of calculus. This course relies heavily on your knowledge of the first year of calculus: sums and series, differentiation, and integration. It is very important for you to review your knowledge of calculus if needed.

**EXAM DATES AND WEIGHTS: **

**Quizzes/Homework**/ 20%

Exam 1 / Monday, Sep 22 / 25%

### Exam 2

/ Monday, Nov 3 / 25%Final /

**Wednesday, Dec 10, 10am~12pm**/ 30%

HOMEWORK:

You are encouraged to work together in groups on homework to solidify your knowledge of the material. If you miss a class, be sure to check with your work group to see what you missed, if there were new assignments, or if there were any changes in quiz or test dates.

QUIZZES:

There will be a quiz (15 minutes) **every week. No make-up quizzes (for any reason)**. Quizzes cover the materials we have discussed in the previous week, and will generally consist of problems similar to homework problems or examples worked out in class. Quizzes are designed for you to see how well you understand the material and considered as one part of my evaluation of your grades.

EXAMS:

There will be two exams given during the semester, plus a final exam. These exams will involve a mix of mechanical skills and conceptual reasoning. The best possible preparation for the exams is regular attendance and completion of assigned homework and quizzes. **Makeup exams are given at the discretion of the instructor and only in the case of verified medical or other emergency, which must be documented. The instructor must be notified before the test is given.There will be no make-ups given for the final, and no finals will be rescheduled for personal reasons, including non-refundable airplane tickets.**

CALCULATOR:

A calculator such as TI 83, TI 84 (or other types with basic probability and statistical functions such as mean, standard deviation, etc.) is required in this class.

**UNM DISABILITY STATEMENT:**

Qualified students with disabilities needing appropriate academic adjustments should contact me as soon as possible to ensure your needs are met in a timely manner. Handouts are available in alternative accessible formats upon request.

## TENTATIVE COURSE OUTLINE

Week / Sections Covered / Assignment / Notes1 / 2.1-2.4 / 2.1, 1, 6, 19, 23

2.2, 51, 55, 62

2.3, 66, 69, 73

2.4, 75, 79, 83

2 / 2.5-2.6 / 2.5, 89, 91, 93, 95, 98

2.6, 100, 104, 107, 114

3 / 2.7, 2.8, 3.1 / 2.7, 121, 123

2.8, 124

3.1, 1, 4, 7, 11

4 / 3.2, 3.3 / 3.2, 14,15,17,25

3.3, 29,30,35,37

5 / 3.4-3.6 / 3.4, 39,41,43

3.5, 52, 54, 56

3.6, 61,64,69,70,78,79

6 / 3.7 / 3.7, 82, 84, 87, 93 .7, 82, 84, 87, 93 /

**Test 1: Monday Sep 22 (2.1-2.8, 3.1-3.4) 1: T**

, Feb 19

7 / 3.8,3.9 / 3.8, 98,101,104

3.9, 107,109,116,118

8 / 4.1, 4.2, 4.3 / 4.2, 1,3,5,7

4.3, 11,13,16,21

9 / 4.4-4.6 / 4.4, 23,25,29,30

4.5, 32,34,37

4.6, 41,43,49,56,61

10 / 4.7, 4.8 review / 4.7, 65,68

4.8, 77,80,81,91

11 / 5.1, 5.3 / 5.1, 1,2,3,5,7

5.3, 33, 34, 35, 43 /

**Test 2: Monday Nov 3 (3.5-3.9, 4.1-4.8)**

12 / 5.5, 6.1-6.4 / 5.5, 54,57,60,62

6.1, 1, 11

6.2, 16, 22

6.3, 38

6.4, 45

13 / 7.1-7.2, 8.1-8.2 / 7.2, 1,3,5,10

8.2, 1,2,3,4,5,7,9

14 / 8.3, 8.5 / 8.3, 20,21,23,33

8.5, 52, 53, 54 / Thanksgiving: Nov 27, 28

15 / 9.1, 9.2, 9.3 / 9.2, 29,30,31,33,34,36ab, 37ac,38ab,39ab

9.3, 44,45,47,48,50ae,51ae,52ae

16 / 9.5, review / 9.5, 76,77,82,84

17

**Stat 345 Syllabus**