MATH 526 Applied Mathematical Statistics I
Instructor Terry Soo
610 Snow Hall
(Please put Math526 in the subject for emails pertaining to this course)
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first course in statistics for students with the techniques
of calculus at their disposal. The following topics are studied with
illustrations and problems drawn from various fields of
applications: basic notions of probability and probability
distributions; classical estimation and testing procedures for
one and two sample problems; chi-square test. Not open to
those with credit in MATH 628 or DSCI 301. Prerequisite: MATH
122 or MATH 116.
Satisfies: N Natural Science (N) , NM Mathematical Sciences PC (NM)
Textbook: Probability & Statistics for Engineers and Scientists, Walpole, Myers & Myers, Pearson, 9th edition or KU Custom Edition.
Lecture notes (Last revised 4 December 2014)
MWF 10:00-10:50 AM SNOW 302 LAWRENCE
Class number 19025
First day Aug 25, last day Dec 10
MW 11:00-12, or by appointment.
5% Attendance exercises (done in class every Monday, Wednesday, (and for the first week, Friday))
5% Homework (due every Wednesday, at the beginning of class, and it will be posted by Thursday morning.) [Worst hw will be dropped---this policy will be realized in a slightly different way: the last hw will be for bonus marks. ]
10% Short quizzes (every Friday, no quizzes during exams, and the first week)
10% Exam 1 (Sept 12, note that Sept 15 is the last day to drop without a W)
20% Exam 2 (Oct 10)
20% Exam 3 (Nov 14, note that Nov 19 is the last day to withdraw)
Tuesday, December 16, 7:30 - 10:00 am, in our usual room.
Attendance is mandatory. Please read the related materials before coming to class.
The homework is a very important part of the course. In order to do well on the tests, it is necessary to do the homework. Every week, exercises will be assigned and a subset of those will be turned in for grading. You should try to do as many exercises assigned or otherwise. Sometimes exercises will be assigned in class. Usually the short quizzes will be very similar to the exercises (turned in or otherwise).
Schedule and homework
Roughly one chapter per week. Book readings and exercises are about one week ahead of where we are in class.
Week1 (Aug25-29): Read Chapter 1. Do exercises 1.16, 1.17. Read Chapter 2 (2.1-2.3). Do exercises 2.1, 2.7, 2.15, 2.23, 2.33, 2.34, 2.39. Link to HW: Due Wed Sept3
Week2 (Sept3-5): Read Chapter 2 (2.4-2.7). Do exercises 2.53, 2.61, 2.72, 2.77, 2.85, 2.93, 2.95. Link to HW: Due Wed Sept10
Week3 (Sept8-12): Read Chapter 3 (3.1,3.2). Do exercises 2.97, 3.5. Link to HW: Due Wed Sept17
Week4 (Sept15-19): Read Chapter 3 (3.3, 3.4). Do exercises 3.7, 3.17, 3.19, 3.27, 3.29, 3.35, 3.39,3.43, 3.45. Link to HW: Due Wed Sept24
Week5 (Sept22-26): Read Chapter 4 (4.1, 4.2, 4.3, 4.4). Do exercises 4.5, 4.7, 4.13, 4.17, 4.41,4.43,4.48, 4.59,4.69. Link to HW: Due Wed Oct1
Week6 (Sept29-Oct3): Link to HW: Due Wed Oct 8
Week7 (Oct6-Oct10): Read Chapter 5 (5.1, 5.2, 5.5). Do exercises 5.1, 5.25,5.27,5.65,5.67,5.73: Link to HW: Due Wed Oct 15
Week8 (Oct15-Oct17): Read Chapter 6 (6.1, 6.6, 6.2,6.3,6.4). Do exercises 6.1,6.3,6.5,6.7,6.9,6.13,6.17,6.45,6.55,6.59. Link to HW: Due Wed Oct 22
To start, we will focus on the case of one sample, one mean. KU custom edition numbering, you have to minus 1
Week9 (Oct20-Oct24): Read Chapter 8 (KU Custom edition Chapter 7, I think you have to minus 1 everywhere) (8.1,8.2,8.3,8.4, 8.5,8.6). Do Exercises 8.21,8.23, 8.25,8.33,8.45,8.49. Link to HW: Due Wed Oct 29
Week10 (Oct27-31): Read Chapter 9 (KU Custom edition Chapter 8) (9.1,9.2,9.3,9.4,9.10) Do exercises 9.1, 9.3, 9.13, 9.29, 9.31, 9.53, 9.57, 9.59, 9.63 Link to HW: Due Nov 5
Week11 (Nov3-Nov7): Read Chapter 10 (KU Custom edition Chapter 9) (10.1,10.2,10.3,10.4,10.8) Do exercises 10.3, 10.9, 10.19,10.21,10.23, 10.25, 10.57,10.59 Link to HW: Due Nov 12
We return to cover the case of two sample means.
Week12 (Nov10-Nov14): (8.4, 9.8, 9.9, 9.11, 10.5,10.9): Do exercises 8.29, 9.35,9.37,9.39,9.43-(optional),9.67,9.69. Link to HW: Due Nov 19
Week13 (Nov17-Nov21): Link to HW: Due Dec 3
Week15 (Dec1-Dec5): Read Chapter 10.5, 10.9: Do Exercises: 10.45, 10.65
Week16 (Dec8-Dec10): Some random review.
gamma.pdf (Notes on the Gamma function, to practice integration by parts)
problems.pdf (Random problems)
Extra HW credit R computing assignment: Due Dec 5: (There was a typo. The pdf should be compared to a probability histogram (see page 86 of your text), not the relative frequency histogram.)