Math 401/601 Mathematical Statistics I

Fall 2010

Section 001 1:50 to 2:50, M W F

Instructor: Dr. Chris Edwards Phone: 424-1358 or 948-3969 Office: Swart 203

Classroom: Swart 203 Text: Mathematical Statistics with Applications, 6^th or 7^th edition, by Wackerly, Mendenhall, and Scheaffer.

Catalog Description:

Course Objectives: The goal of statistics is to gain understanding from data. This course focuses on critical thinking and active learning involving mathematical statistics. Students will be engaged in statistical modeling and will develop intuition concerning mathematical statistics, including the use of appropriate technology. Specifically students will develop

• an awareness of the nature and value of theoretical statistics

• a sound, critical approach to interpreting statistics, including possible misuses

• facility with statistical calculations and evaluations, using appropriate technology

• effective written and oral communication skills

Grading: Final grades are based on these 300 points:

	Topic	Points	Tentative Date	Chapter
Exam 1	Probability	60 pts.	October 1	2
Exam 2	Discrete Distributions	80 pts.	October 27	3
Exam 3	Continuous Distributions	80 pts.	November 12	4
Exam 4	Multivariate Distributions	80 pts.	December 13	5

Final grades are assigned as follows:

270 pts. A (90 %) 260 pts. A- (87 %)
250 pts. B+ (83 %) 240 pts. B (80 %)
230 pts. B- (77 %) 220 pts. C+ (73 %)
210 pts. C (70 %) 200 pts. C- (67 %)
190 pts. D+ (63 %) 180 pts. D (60 %)
179 pts. or less F

Homework: Weekly homework problems are listed below. The dates listed on the course outline below are the days I will post solutions to the problems. I suggest that you work together in small groups on the homework if you like, but don't forget that I am a resource for you to use. While I will not be grading the homework, it is essential to your understanding to work all assigned problems.

Office Hours: Office hours are times when I will be in my office to help you. There are many other times when I am in my office. If I am in and not busy, I will be happy to help. My office hours for Fall 2010 semester are 10:20 to 11:00, Monday, Wednesday, and Friday and 2:00 to 2:50, Tuesday or by appointment.

Philosophy: I strongly believe that you, the student, are the only person who can make yourself learn. Therefore, whenever it is appropriate, I expect you to discover the mathematics we will be exploring. I do not feel that lecturing to you will teach you how to do mathematics. I hope to be your guide while we learn some mathematics, but you will need to do the learning. I expect each of you to come to class prepared to digest the day’s material. That means you will benefit most by having read each section of the text before class.

My idea of education is definitely not “Teaching is telling and learning is listening”. I believe that you must be active in the learning process to learn effectively. Therefore, I view my job as a teacher as not telling you the answers to the problems we will encounter, but rather pointing you in a direction that will allow you to see the solutions yourselves. To accomplish that goal, I will work to find different interactive activities for us to work on. Your job is to use me, your text, your friends, and any other resources to become adept at the material.

Math 601 Expectations: Expectations for the graduate students are understandably more rigorous than for the undergraduate student. Students taking Math 601 will have an extra theoretical problem added to each exam. In addition, a final project worth 50 points will be due at the end of the semester.

Homework Assignments:

	7^th Edition Problems/Pages	6^th Edition Problems/Pages
HW 1, Sept. 15	2.4 p. 26 2.12 p. 32 2.18 p. 34 2.22 p. 35 2.26 p. 39	DNE 2.10 p. 32 2.16 p. 33 DNE 2.18 p. 37
HW 2, Sept. 22	2.44 p. 48 2.54 p. 50 2.64 p. 51 2.76 p. 56 2.78 p. 56	2.36 p. 47 2.44 p. 48 2.40 p. 49 2.60 p. 54 2.62 p. 54
HW 3, Sept. 29	2.88 p. 59 2.104 p. 62 2.116 p. 69 2.130 p. 74 2.142 p. 77 3.4 p. 90	DNE 2.80 p. 59 2.92 p. 66 2.104 p. 70 2.120 p. 74 3.4 p. 87
HW 4, Oct. 11	3.12 p. 97 3.38 p. 110 3.76 p. 120 3.90 p. 123	3.10 p. 95 3.26 p. 106 DNE 3.72 p. 118
HW 5, Oct. 18	3.108 p. 129 3.118 p. 130 3.128 p. 136 3.154 p. 142 3.158 p. 143	DNE DNE DNE 3.122 p. 136 3.124 p. 136
HW 6, Oct. 25	3.164 p. 146 3.176 p. 148 4.6 p. 166 4.18 p. 169	3.128 p. 139 DNE 4.2 p. 159 4.12 p. 161
HW 7, Nov. 3	4.22 p. 172 4.42 p. 176 4.78 p. 184 4.96 p. 191	4.16 p. 164 DNE 4.64 p. 175 DNE
HW 8, Nov. 10	4.126 p 199 4.130 p. 199 4.136 p. 206 4.148 p. 209 4.156 p. 213	4.94 p. 185 4.98 p. 186 4.104 p. 193 4.116 p 196 4.124 p. 200
HW 9, Nov. 19	5.2 p. 232 5.14 p. 234 5.26 p. 243 5.52 p. 253 5.58 p. 253	5.2 p 219 5.12 p. 221 5.22 p. 230 5.44 p. 239 5.50 p. 239
HW 10, Dec. 1	5.76 p. 261 5.82 p. 263 5.100 p. 270 5.108 p. 277	5.64 p. 247 5.70 p. 248 5.84 p. 255 5.92 p. 262
HW 11, Dec. 10	5.122 p. 283 5.128 p. 284 5.138 p. 289 6.2 p. 307 6.14 p. 309	5.102 p. 267 5.108 p. 269 5.118 p. 274 6.2 p. 291 6.10 p. 292

Monday	Wednesday	Friday
September 6 NO CLASS	September 8 Day 1 Introduction, 301 Review Chapter 1	September 10 Day 2 Sets, Sample Spaces Sections 2.1 to 2.5
September 13 Day 3 Combinations Section 2.6	September 15 Day 4 Homework 1 Combinations Section 2.6	September 17 Day 5 Conditional Probability Section 2.7
September 20 Day 6 Laws, Events Sections 2.8 to 2.9	September 22 Day 7 Homework 2 Bayes, Random Variables Sections 2.10 to 2.13	September 24 Day 8 Discrete pdf Sections 3.1 to 3.2
September 27 Day 9 Expected Value Section 3.3	September 29 Day 10 Homework 3 Expected Value Section 3.3	October 1 Day 11 Exam 1
October 4 Day 12 Binomial Section 3.4	October 6 Day 13 Geometric/Negative Binomial Sections 3.5 and 3.6	October 8 Day 14 Hypergeometric Section 3.7
October 11 Day 15 Homework 4 Poisson Section 3.8	October 13 Day 16 Moment Generating Function Section 3.9	October 15 Day 17 Probability Generating Function/Tchebysheff’s Sections 3.10 to 3.11
October 18 Day 18 Homework 5 Continuous pdf Sections 4.1 to 4.2	October 20 Day 19 Continuous pdf Sections 4.1 to 4.2	October 22 Day 20 Expected Value/Uniform Sections 4.3 to 4.4
October 25 Day 21 Homework 6 Normal Section 4.5	October 27 Day 22 Exam 2	October 29 Day 23 Gamma Section 4.6
November 1 Day 24 Beta Sections 4.7 to 4.8	November 3 Day 25 Homework 7 Moments/Tchebysheff’s/ Mixed Distributions Sections 4.9 to 4.12	November 5 Day 26 Multivariate pdf Sections 5.1 to 5.2
November 8 Day 27 Multivariate pdf Sections 5.1 to 5.2	November 10 Day 28 Homework 8 Marginal, Conditional Section 5.3	November 12 Day 29 Exam 3
November 15 Day 30 Independence Section 5.4	November 17 Day 31 Expected Values Sections 5.5 and 5.6	November 19 Day 32 Homework 9 Covariance Section 5.7
November 22 Day 33 Linear Functions Section 5.8	November 24 No Class	November 26 No Class
November 29 Day 34 Multinomial Section 5.9	December 1 Day 35 Homework 10 Conditional Expectation Sections 5.11 to 5.12	December 3 Day 36 Cdf Technique Sections 6.1 to 6.3
December 6 Day 37 Cdf Technique Sections 6.1 to 6.3	December 8 Day 38 Cdf Technique Sections 6.1 to 6.3	December 10 Day 39 Homework 11 Transformation Technique Section 6.4
December 13 Day 40 Exam 4	December 15 Day 41 Transformation Technique Section 6.4	December 17 Day 42 Transformation Technique Section 6.4

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Last updated August 24, 2010