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Math 111, Joel M. Cohen (Summer, 2004)
This WEB page is http://www.math.umd.edu/~jmc/111.html, and was last updated: 8-10-04 Title: Introduction to Probability Instructor: Professor Joel M. Cohen Office: MTH 2313, Telephone: (301)405-5109
Class Time: M-F 9:30-10:50 Prerequisite: Satisfactory
score on Math Department placement exam or completion of the appropriate
module of MATH 003. Office Hours: MTWTh 12:30-1:30. Occasionally, it may be necessary
to change this time, so let me know if you are planning to see me.
You can also send me email. I will answer queries as quickly as possible
during office hours, and as time permits otherwise. Tutoring: The math department provides
tutoring for Math 111 every day 12:30 - 2:30 p.m. Room 0407 with Hunter Johnson. Sample tests: Sample tests
are available by clicking here. Description:
This is a course in Probability Theory with a minimum
of prerequsites designed primarily for students in the Social Sciences
who normally would take a Statistics course in their own department. Credit
will only be given for one of MATH 111 and STAT 100.
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COURSE OUTLINE (subject to change)
| July 12 | 6.1 Sets and set operations |
| July 13 | 6.2 Number of elements in a finite set |
| July 14 | 6.3 Multiplication principle |
| July 15 | 6.3, 6.4 Permutations and combinations |
| July 16 | 6.4 continued |
| July 19 | 7.1 Experiments, sample spaces, events |
| July 20 | 7.2 Definition of probability |
| July 21 | 7.3 Rules of probability |
| July 22 | 7.4 Use of counting in probability |
| July 23 | Exam I |
| July 26 | 7.5 Conditional probability, independent events |
| July 27 | 7.5 continued |
| July 28 | 7.6 Bayes' theorem |
| July 29 | 7.6 continued |
| July 30 | 8.1 Distributions of random variables |
| August 2 | 8.2 Expected value |
| August 3 | 8.2, 8.3 Variance and standard deviation |
| August 4 | 8.3 continued |
| August 5 | 8.4 Binomial distribution |
| August 6 | Exam II |
| August 9 | 8.4 continued |
| August 10 | Handout on hypergeometric functions |
| August 11 | 8.5 Normal distribution |
| August 12 | Catch up time |
| August 13 | Catch up time |
| August 16 | 8.5 continued |
| August 17 | 8.6 Applications of normal distribution |
| August 18 | 8.6 continued |
| August 19 | Review |
| August 20 | Final |
Homework: A list of assigned exercises is given below. Homework to the left of the || will be collected and graded. Selected problems will be discussed in class. In fact, problem solving will be emphasized in class.
| 6.1 | # 1,3,5,7,9,11,13,17,21,25,27,29,31,33,37,41,45,47,51 |
| 6.2 | # 3,4,7,9,11,13,15,19,21,23,25,27,29 |
| 6.3 | # 1,4,5,9,11,14,15,17,19,21,23 |
| 6.4 | # 1,3,5,7,11,15,19,23,27,31,35,37,39,41,49,53,57,59,61,63,72 |
| 7.1 | # 2,4,7,10,18, 22,26, 34,38 || 1,5,13,17,21,23,27,33,35 |
| 7.2 | # 2,5,10,14,24,34 || 1,3,9,23,31,33,37 |
| 7.3 | # 2,7,8,12,14,22,26,36,40 || 1,13,15,21,25,27,31 |
| 7.4 | # 2,4,6,8,13,16,24,28,33,36,37 || 1,3,5,9,17,19,23,27 |
| 7.5 | # 2,3,4,6,8,12,20,34,42 || 1,5,7,9,11,13,15,19,21,27,29,33,35,41,43 |
| 7.6 | # 2,4,6,8,11,16,21,22,36,40 || 1,3,5,7,9,15,17,27,31,33,35 |
| 8.1 | # 2,4,6,10,12,16,19,20,24 || 1,3,5,9,11,13,15,23 |
| 8.2 | # 2,4,6,12,18,20,28,34,42 || 1,3,5,11,13,17,19 |
| 8.3 | # 2,4,6,8,12,16,20,24,29,30 || 1,3,5,7,11,13,19,25,27 |
| 8.4 | # 2,4,6,10,14,16,22,26,36,44 || 1,3,5,9,11,13,15,17,21,23,29,31,35 |
| #1,3,4,5,6,7 in Handout on Hypergeometric RV |
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| 8.5 | # 2,4,6,8,10,12,14,16,18,20 || 1,3,5,7,9,11,13,15,17,19,20 |
| 8.6 | # 2,4,6,8,10,12,14,16,18,20 || 1,3,5,7,9,11,13,15,17,19,21 |
| Other assignments may be given in class. |
Homework is an integral part of this course and counting 1/4 of the total points for the course. It is expected that the work on all assignments turned in will be your own even if you study with someone else or get help from a tutor or your teacher.
The Student Solutions Manual can help you in learning to solve problems.When you work practice problems try to work the problems
on your own.If you reach a point where you are
stuck, look up the solution in the solutions manual and see how the authors
proceeded or began.Then close the book and try
to make the next steps.Always try to answer the
question, "Why did they do it that way?"If you have
trouble with an even-numbered problem, try working the problem just before
or just after it (or any other odd problem that looks similar), using
the solutions manual if needed.Then try the even problem
again.If homework is collected for grading or used
to answer a quiz problem, the work must be your own; if solutions are copied
from the solutions manual, you will receive no credit for them and may be
subject to charges of honor code violation for plagiarism.
The average time spent on non-examination studying for a math course at this level should be about three hours for every. In other words you should plan to spend an average of fifteen hours a week on homework and studying for quizzes.
Grade Policy
2 midterm exams, lowest counts 50%(100 points each)= 150 pts.
Homework= 100 pts.
Final Examination= 150 pts
TOTAL= 400 pts
Average = Total/4
Makeup exams will not be given. If you have an excused absence for an exam, the grade will be replaced by 1/2 of the final. If you have taken both exams, the lowest grade will count for half. Excused absences will be given only for valid medical reasons, University business, or appearances in court, and, except in emergency conditions, must be requested in advance, either by email or by phone. There will be no excused homework assignments or quizzes, but approximately the lowest 15% will be dropped.
If
you need to be excused for a religious observance, you should let
me know as soon as possible, but in any case no later than the end
of the schedule adjustment period.
The expectation is that a letter grade will be given using
the following scale for the semester average: 90-100
(A),80-89 (B),70-79 (C),60-69 (D),0-59 (F).There
will be no curving of exam grades during the semester.If
there is any adjustment to this curve, it will only be done for the course
totals and the final grade at the end of the semester.