Math 351: Probability (Fall 2018)
3:00pm - 4:15pm, Tuesday/Thursday
- Instructor: Daniel M. Anderson (4411 Exploratory Hall, 703.993.1482, email@example.com)
- Office Hours: Tuesday 6:30PM-7:30PM, Thursday
1:30PM-2:30PM, and by appointment.
- Text: A First Course in Probability, Ninth Edition,
by Sheldon Ross.
- Prerequisites: A grade of C or better Math 213 (Calculus III) or equivalent.
- Course Goals: To understand and be able to make use of the
concepts of random variables, probability functions, special distributions, and limit theorems.
- Exams: There will be two midterm exams. Midterm exam dates and
topics listed below are tentative and will be confirmed in class. You are responsible
for being aware of any such changes announced in class.
Makeup exams will not be given. In the
event that one exam is missed and (1) a valid, documented excuse
is given in writing to the instructor at the time of the absence
and (2) the student provides sufficient evidence to the instructor
that he/she is keeping up with the topics in the course, the final
exam score will count in place of the missed exam.
The instructor will determine whether an excuse is valid (for example, a
medical emergency would constitute a valid excuse but leaving early for
vacation is not a valid excuse).
Without a valid documented excuse given at the time of the exam, a missed
exam will count as a zero.
If more than one midterm exam is missed, that situation
will be dealt with on an individual basis.
- Graded Homework:
There will be regularly assigned homework problems.
A group of students and faculty at MIT have compiled a solutions to the problems listed in the seventh edition of Ross. You can find these at
the following webpage.
- Grading Policy:
- Homework = 20%
- Midterm Exams = 25% each
- Final Exam = 30%
- In general, 90%-100% = A, 80%-89% = B, 70%-79% = C,
60%-69% = D, below 60% = F. Plus and minus grades will be approximately
2 or 3 percentage points above or below these boundaries (e.g. 88% would correspond
to a B+). I reserve the right to lower the curve, but will not raise the curve.
- Topics Covered/Schedule
- Chapter 1: Combinatorial Analysis
- Chapter 2: Axioms of Probability
- Chapter 3: Conditional Probability and Independence
- EXAM 1 Chapters 1-3 (Thursday, September 27)
- Chapter 4: Random Variables
- Chapter 5: Continuous Random Variables
- Chapter 6: Jointly Distributed Random Variables
- EXAM 2 Chapters 1-5 (Thursday, November 8)
- Chapter 7: Properties of Expectations
- Chapter 8: Limit Theorems
- FINAL EXAM Chapters 1-5 (Thursday, December 13, 1:30-4:15pm)
- Final Exam: The final exam will be an in-class exam and must
be taken at the scheduled time. Exceptions are allowed only with a
Dean's permission, by University rules.
- Calculators/Phones/Etc.: Calculators, smartphones, ipads, laptops, etc. will not be
allowed for use during exams.
Plan to turn off and put away all mobile electronic devices during exams -- accessing these devices
between the time you receive your exam and the time you turn in your exam constitutes
an honor code violation.
- Honor System: THIS IS IMPORTANT. PAY ATTENTION TO THIS.
It is expected that each student in this class will
conduct himself or herself within the guidelines of the Honor Code.
All academic work should be done with the level of honesty and integrity
that this University demands. Anyone caught cheating during an exam or on any other material submitted for grade will be sent to the University Honor
Committee for formal resolution to the situation.The use of cell
phones and other electronic communication devices for any purpose
during an exam will be considered an honor code violation.
The most likely recommendation given by the professor to the Honor
Committee is failure of the class (not just the specific exam, etc.) if the student is found guilty of violating the Honor Code.
General Information for using computers at GMU [including setting up Mason account]
- Lecture Topics: (section numbers based on A First Course in
Probability, 9th Edition, by Sheldon Ross)
- Tuesday, August 28: 1.1-1.4 [Practice Problems: Ch 1: 1,2,3,8,9,14,18,20,25,26,30]
[Lecture Notes for
Chapter 1 (8/28/2018 and 8/30/2018)]
- Thursday, August 30: 1.4-1.5
[Homework 1 (Due, Thursday, September 6)],[Homework 1 Solutions]
- Tuesday, September 4: 2.1-2.3 [Practice Problems: Ch 2:
('Problems' starting on p. 48): 1,2,4,8,12,13,15,16,17,25,27,36,
('Theoretical Exercises' starting on p. 52): 6]
- Thursday, September 6: 2.4,2.5
[Lecture Notes for
Chapter 2 (9/4/2018, 9/6/2018, 9/11/2018, 9/13/2018)]
- Tuesday, September 11: Ch. 2 [Homework 2 (Due, Tuesday, September
18)],[Homework 2 Solutions]
- Thursday, September 13: Ch. 2, 3.1,3.2
[Practice Problems: Ch 3:
('Problems' starting on p. 97): 3.1,3.5,3.6,3.9,3.10,3.11,3.14,3.18,3.23,3.24,3.26,3.37,3.45,3.48,3.84
('Theoretical Exercises' starting on p. 106): 3.4]
- Tuesday, September 18: 3.1, 3.2
[Lecture Notes],[Homework 3 (Due, Tuesday, September
- Thursday, September 20: 3.3,3.4
- Tuesday, September 25: 3.3
[Lecture Notes],[Homework 3 Solutions]
- Thursday, September 27: EXAM 1 (Ch. 1-3)
- Tuesday, October 2: 3.4,4.1
- Thursday, October 4: 4.1,4.2,4.3,4.4
[Practice Problems: Ch 4:
('Problems' starting on p. 163): 4.1,4.2,4.4,4.9,4.17,4.19,4.40,4.43,4.56,4.71,4.72,4.75,4.78]
- Tuesday, October 9: Fall Break (Monday classes meet Tuesday,
No Tuesday Classes)
- Thursday, October 11: 4.2,4.3,4.4
[Lecture Notes],[Homework 4 (Due, Tuesday, October
23)],[Homework 4 Solutions]
- Tuesday, October 16: 4.4,4.5
- Thursday, October 18: 4.6-4.8
- Tuesday, October 23: 4.9,5.1
- Thursday, October 25: 5.1,5.2
[Practice Problems: Ch 5:
('Problems' starting on p. 212): 5.1-5.5,5.7,5.8,5.11,5.14,5.15]
- Tuesday, October 30: 5.2,5.3,5.4
[Lecture Notes],[Homework 5 (Due, Tuesday, November
5 Solutions (problems 3-6)]
[Additional Practice Problems: Ch 5:
('Problems' starting on p. 212): 5.21,5.26,5.27,5.28,5.32,5.34,
('Theoretical Exercises' starting on page 214): 5.9, 5.13,5.14]
- Thursday, November 1: 5.3,5.4
- Tuesday, November 6: Ch.5
- Thursday, November 8: EXAM 2 (Ch 1-5)
- Tuesday, November 13: 5.5,5.6
- Thursday, November 15: 6.1,6.2
- Tuesday, November 20: 6.3,6.4
- Thursday, November 22: THANKSGIVING
- Tuesday, November 27: 7.1,7.2,7.3
- Thursday, November 29: 7.4,7.5
- Tuesday, December 4: Ch. 8
- Thursday, December 6: Ch. 8
- FINAL EXAM: Thursday, December 13, 1:30-4:15pm
- To Daniel M. Anderson's Homepage