Instructor: Professor Markos Katsoulakis, LGRT 1423G, Email: markos [at] math umass edu
Lectures: Tuesdays, Thursdays, 11:30AM  12:45PM, online.
Office Hours: By appointment.
Discussion Sessions:
On Piazza and by Zoom appointment with your Section's TA.
TA for Section 5: Yujian Wu
Textbook
 Mathematical Statistics with Applications, Authors: Wackerly,
Mendenhall, Schaeffer (ISBN13: 9780495110811), Edition: 7th.
(this is NOT the international editionif you are using the international edition, you need to always consult for your homework assignments with the
library copies on reserve)
Prerequisites
Two semesters of single variable calculus (Math 131132) or the equivalent, with a grade of "C" or better in Math 132. Math 233 is recommended but not required for this course and any ecessary concepts for multiple
integration or partial derivatives will be reintroduced in the course as
needed.
Homework
There will be weekly homework.
Discussion of
homework and practice problems with fellow students is encouraged but
you must submit your own work.
The weekly homework will be typically of two types:
(a) online homework on Webwork (typically due every Wednesday or Friday evening  always check webwork for exact due dates/times),
and
(b) Homework from the book (we use WebAssign after the course went online).
The two types of homework sets have equal weight in grading.
The Webwork homework is done using
webwork.
You can login into your account on Webwork from
here.
Your user name is the part of your SPIRE username ( UMass email address appearing
before the '@
' symbol and usually your NetID).
Your default password is your 8 digit UMass SPIRE ID number. Please make sure you change your
password once you login for the first time. Writeup/Print your solutions, and keep them, say in a binder,
so that you may easily reference that when you are studying for an exam.
NOTE: I will not accept late homework. Two missed homework assignmentsa are allowed without penalty and accordingly the two lowest grades will be discarded in the evaluation of the final homework grade.
Homework Assignments (from the book)

Homework 1: Section 2.3 #2.3, 2.5, 2.7,2.8; Section 2.4 # 2.11, 2.12, 2.16, 2.19, 2.23;
Section 2.5 # 2.30, 2.33.
Due in class Jan. 30th.

Homework 2: Section 2.6 # 2.43, 2.61; Section 2.7 #2.75, 2.77, 2.82;
Section 2.8 #2.89, 2.93, 2.102;
Due in class Feb. 6th.

Homework 3:
Section 2.9: #2.115, 2.120
Section 2.10 # 2.125, Section 3.13.2 # 3.6, Section 3.3 # 3.14, 3.15, 3.22.
Due in class Feb. 13th.

Homework 4:
Section 3.4 # 3.38, 3.57,
Section 3.5 # 3.66, 3.71,
Section 3.7 #3.118,
Section 3.8 # 3.125, 3.128, 3.138.
Due Monday Feb 24, 12 noon (instructor's mailbox LGRT 16th floor).

Homework 5:
Section 3.9 # 3.145, 3.149, 3.151.
Section 3.11 # 3.167, 3.175, 3.177.
Due Friday Feb 28, 12 noon (instructor's mailbox LGRT 16th floor).

Homework 6:
Sections 4.1–4.3 #4.2, 4.16, 4.20 and 4.26,
Due in class March 12th.

Homework 7:
Section 4.4: 4.51
Section 4.5: 4.69, 4.71, 4.73
Section 4.6: 4.91, 4.109
Section 4.7: 4.131
Due Monday, March 30th, WebAssign.

Homework 8:
Section 4.10: 4.147, 4.149, 4.151
Section 5.15.2: 5.7, 5.9, 5.11, 5.13, 5.15, 5.17
Due Friday, April 3rd, WebAssign.

Homework 9:
See Webassign
Due 4/7/20, 11:59PM EST.

Homework 10:
See Webassign
Due 4/9/20, 4PM EST.

Homework 1115::
see WebAssign
Due: see WebAssign.
To get full credit, make sure you justify all your answers, or refer to the appropriate Theorem
HOMEWORK SOLUTIONS:
Solutions to (the previous week's) written homework assignements are discussed at the beginning of each discussion session.
Grading (updated after the class went online)
 Final Exam 15%, Midterm 1 20%, Midterm 2 15%, Homework 50% (25% homework from book, 25% Webwork)
 The final exam will focus on topics covered after the Midterms.
 Grading scale:
A 90100,
A 8790,
B+ 8387.
B 7983,
B 7579,
C+ 7175,
C 6771,
C 6367,
D+ 5963,
D 5559,
F 055.
Exams
 Midterm 1: Wednesday, March 4, Time & Rm: 79PM,
GSMN0064 (Sections 5, 6, 7), ILCN151 (Sections 1, 2, 3, 4).
 Material for Midterm 1: Chapter 2 and Chapter 3, 3.13.8.
 Review for Midterm 1: During Help Sessions
 Midterm 2: Thursday, April 9, Time & Rm: 79PM, Webwork.
 Material for Midterm 2: Sections 3.9, 3.11, 4.14.10, 5.1  5.6.
Note that moment generating functions section 4.9 is defered to the final.
 Review for Midterm 2: see available material on Moodle
 Final Exam: Tuesday, May 5, Webwork; Time: TBD
 Material for Final Exam :
Sections 5.85.10, 5.11, 6.16.5, 7.17.3, 7.5,
however students are expected to know the Moment Generating Functions material from
Sections 3.9 and 4.9 (and all worked out examples therein).

Review for Final: During Help Sessions
 NOTE: Makeup exams will only be given in the case of family or medical
emergency. Both situations will require official documentation. No
makeup exams will be given for any other reason.
Course policies
If you have a Universityapproved conflict (see the link in this paragraph) with an exam, you must let your instructor know
at least two weeks before the exam.
A makeup exam might be scheduled to take place shortly after the regularly scheduled exam. If so, the makeup exam will be different than the original but cover the same material. You will need to fill out the following
sheet
signed by the Registrar's office, explaining to your instructor why you are entitled to a makeup. Make sure to not book any travel during exams, including the snowmakeup date for the final. Travel is not an excuse to miss the exam. If a lastminute emergency occurs after the twoweek deadline, you will need to present to your instructor a note either from your medical provider for medical emergencies or from the Office of the Dean of Students for nonmedical emergencies.
If a lastminute emergency occurs after the twoweek deadline, you will need to present to your instructor a note either from your medical provider for medical emergencies or from the
Office of the Dean of Students for nonmedical emergencies.
Class Material by Section
 Chapter 2: All sections.
 Chapter 3: 3.1  3.9, 3.11+additional material on Probabilistic Inequalities(material provided)
 Chapter 4: 4.14 .10
 Chapter 5: 5.1  5.8, 5.10 and 5.11
 Chapter 6: 6.1, 6.2, 6.4+Example 6.5, 6.5
 Chapter 7: 7.1, 7.2 (only Theorems 7.12),
7.3, 7.4 (optional), 7.5
Weekly Schedule
 Week 1: Review syllabus, 2.12.5 Introduction, set theory, axioms of probability
 Week 2: 2.62.9, Probability and counting, laws of probability I
 Week 3: 2.102.12, 3.1, 3.2, laws of probability II, random variables
 Week 4: 3.33.5, 3.7, 3.8, discrete random variables I
 Week 5: 3.9, 3.11, discrete random variable II, moment generating function, Chebyshev’s inequality, review for midterm I
 Week 6, Review, Midterm I on Wednesday, 4.1, 4.2, continuous random variables
 Week 7, 4.34.7, continuous distributions
 Week 8, 4.84.10, 5.1, 5.2, moment generating function and Chebyshev’s inequality for continuous random variables, multivariate random variables.
 Week 9, 5.35.6, marginal and conditional distribution, independence
 Week 10, 5.75.9, 5.11, covariance, sum of random variables, conditional expectation
 Week 11, Midterm II on Wednesday, Review for Midterm II, 6.1, 6.2, 6.3, functions of random variables I
 Week 12, 6.46.5, 7.1, functions of random variables II, sampling
 Week 13, 7.2, 7.3, 7.5, central limit theorem and sampling
 Week 14, Review for Final
Old exams
Below are various exams, without solutions, from Stats 515 in previous semesters. Note that the format, such as number of problems, varies. This is because the course chair also varies. Moreover, the exams dates are not always at the same point in the semester. So for example, some material on midterm 1 from one class might appear on midterm 2 of another class.
Here is a link to the
Fall 2015 Midterm 1.
Here is a link to the
Spring 2016 Midterm 1.
Here is a link to the
Fall 2016 Midterm 1.
(in draft form)
Here is a link to the
Spring 2017 Midterm 1.
Here is a link to the
Spring 2016 Midterm 2.
Here is a link to the
Fall 2016 Midterm 2.
Here is a link to the
Spring 2017 Midterm 2.
Here is a link to the
Fall 2015 Final.
Here is a link to the
Spring 2016 Final.
Here is a link to the
Fall 2016 Final.
Here is a link to the
Spring 2017 Final.
Here are two quizzes from Fall 2015, which some students took instead of a Midterm 2 that semester.
Quiz
,
Another Quiz
.