Table of Contents

Announcements and Updates

Instructor

Lectures

Tutorial

Course Description

Grading Scheme

Academic Dishonesty

Policy Notes

Schedule

Announcements and Updates

Click  here  for short solutions to the problems in Assignment #5

Click  here  to see all your term marks (except for the last assignment) listed in ascending order of the last 4 digits of your ID number.
Report any discrepancies to me before the final examination.

Assignment #5   (the last one)  was due on Wednesday, April 3rd. Please hand it to me at the beginning of the lecture period.

Click  here  for short answers to the questions in Test #2

Test #2 was held on Tuesday, March 26th from 19:00 to 20:00 in MDCL 1105

Students who have a genuine conflict should let me know by email by Friday March 22nd , so that I can arrange a make-up test for you.

Please read  Chapter 31 (Statistics) during this week and attend the lectures!

Assignment #4   was due on Wednesday, March 20th. Please hand it to me at the beginning of the lecture period

Click  here  for a brief description of how the Weibull distribution is used to model wind speed

If you want to see an elementary introduction to probability and statistics you can check out this link
https://www.khanacademy.org/math/probability
Khan is actually getting rather popular (>246 million lessons)  for this style of teaching but I think I am faster and more efficient (because I don't dwell on the trivial that much?)

1. Bertrand's "Paradox"

http://en.wikipedia.org/wiki/Bertrand_paradox_%28probability%29

http://www.youtube.com/watch?v=uI2FnUmBeeo       (I think my circles and triangles are nicer than his!)

2. Benford's Law:

http://plus.maths.org/content/looking-out-number-one

http://en.wikipedia.org/wiki/Benford%27s_law

3.  Optimal stopping time for "best choice":

http://plus.maths.org/content/mathematics-marriage-and-finding-somewhere-eat

http://www.americanscientist.org/issues/feature/2009/2/knowing-when-to-stop/2

http://en.wikipedia.org/wiki/Secretary_problem

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Notice 1:  I am looking for a student research assistant for May and June this summer. The position is posted on OSCAR job posting # 21541. If you are interested please check the requirements and the details there.

Notice 2: (Amna explained about this briefly in class on Tuesday)
Amna Hyder, ISci (a student in this class!) is conducting a study on student perceptions of scientific literacy at McMaster. This research is part of her Independent Project in the Honours Integrated Science program. As part of her research, Amna is inviting you to take part in a 15-question anonymous online survey that will take about 5 minutes to complete. This study has been reviewed and cleared by the McMaster Research Ethics Board. Please note that you can exit the survey at any time before hitting the submit button, but once you submit your responses, you cannot withdraw from the study. If you are interested in getting more information about Amna’s study click on the link below to start the survey. If you have any questions, contact Amna directly by using her McMaster email address hydera2@mcmaster.ca. If you have questions or concerns about your rights as a participant or about the way the study is being conducted you may contact: McMaster Research Ethics Board Secretariat Telephone: (905) 525-9140 ext. 23142 Gilmour Hall – Room 305 (ROADS) E-mail: ethicsoffice@mcmaster.ca

The following link will lead you to the online survey:      docs.google.com/forms/d/1lsOgkVz79x_NEDdQMUq4guQ81spD1dGTkbIMdAqvq6Q/viewform

If that doesn't work click    here    for the online survey.

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Click  here  for short solutions to the problems in Assignment #3

Assignment #3   was due on Wednesday, February 27th. Please hand it to me at the beginning of the lecture period
You can also hand it in on Friday, March 1st (without any penalty) during the lecture period if you have too many other things going on this week.

Please start reading  Chapter 30 (Probability) during this week and attend the lectures!

Please read 25.6, 25.7, 25.8 plus Chapters 22 and 28 during reading week (sic)

Here is an educational webpage from NASA about the Joukowski conformal map: http://www.grc.nasa.gov/WWW/k-12/airplane/map.html

and here are some information about using Matlab to play with conformal maps:  http://www.mathworks.com/help/images/examples/exploring-a-conformal-mapping.html

Click  here  for some nice formulas for the Gamma function and the Riemann zeta function

Since I keep mentioning the Riemann zeta function and Bernoulli numbers, here are some informal "blogs" where you can find out more about why "physicists" are interested in this seemingly "esoteric stuff":

http://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/surprising.htm
http://thespectrumofriemannium.wordpress.com/tag/harmonic-oscillator/
math.ucr.edu/home/baez/qg-winter2004/bernoulli.pdf

Note: This stuff is just for your "pure experiential pleasure". It's not going to be on the test or the final exam!
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Click  here  for short answers to the questions in Test #1

Test #1 was held on Tuesday, February 12th from 19:00 to 20:00 in MDCL/1105  
Please bring your student ID card.The test will cover the material from Chapters 24 and 25.1, 25.2, 25.3, 25.4, 25.5 and what I did in my lectures up to and including the lecture on Wednesday, February 6th.
The University was closed on Friday, February 8th!
Except for one question (which is about Rouche's theorem) the questions on the test will be just like the questions in the first two assignments, but a lot simpler to compute.
Students who have a genuine conflict should let me know by email by Friday this week, so that I can arrange a make-up test for you (most probably on Wednesday February 13th after my office hours)

Please read 25.6, 25.7, 25.8 plus Chapters 22 and 28 (optional) for this week

Click  here  for short solutions to the problems in Assignment #2
Click  here  for short solutions to the problems in Assignment #1

Please read 24.7, 25.1, 25.2, 25.6, 25.7, 25.8  for this week (end of complex analysis!)

Click  here  for short solutions to the problems in Assignment #2
Assignment #2   was due on Wednesday, February 6th

Please read 25.4, 25.5, 25.1, 25.2, 25.3 and 24.3 for this week.

Click  here  for short solutions to the problems in Assignment #1

Assignment # 1 was due on Wednesday, January 23rd in class. .

Instructor

•  Dr. M. Min-Oo, HH 313, ext. 23429;   e-mail: minoo@mcmaster.ca
  
•   home page:  http:// www.math.mcmaster.ca/minoo
•  Office hours:   Tuesdays: 13:30 - 15:00 and Wednesdays: 17:00 - 18:30
  

Lectures

•   Tu, We and Fr 12:30 -13:20   in   HH/109

Tutorials

• Tu  17:30 -18:20  in  DSB/AB102
  
• Teaching Assistant:  Nick Rogers

Course Description

Course Objective:
We will cover the material from Chapters 24, 25, 30, 31  and selected sections from Chapters 22, 26 and 29 of the prescribed text book. Students are responsible for reading the relevant material and also for working out most of the exercises in the book. For a weekly update on what is covered in the course see the  course syllabus

Course Work:

1. Tutorials: There will be a weekly tutorial.

2. Assignments: There will be four written assignments to be handed in to me during the lecture period on the due dates. Late assignments will not be graded.

• Assignment #1   due:  in class   on  Wednesday, January 23rd      Click  here  for short solutions
• Assignment #2   due:  in class   on Wednesday, February 6th       Click  here  for short solutions
• Assignment #3   due:  in class   on  Wednesday, February 27th (due date extended to Friday, March 1st)   Click  here  for short solutions
• Assignment #4   due:  in class   on   Wednesday, March 20th     Click  here  for short solutions
• Assignment #5   due:  in class   on   Wednesday, April 3rd      Click  here  for short solutions

3. Homework:  In addition to the assignments, there will be extra homework problems, which are not graded, Students should discuss these problems during the tutorial. Click here for Homework..

• TEST #1: Tuesday,  February 12th,  19:00 - 20:00  in MDCL/1105    Click  here  for short answers
• TEST #2: Tuesday, March 26th,  19:00 - 20:00   in MDCL/1105     Click  here  for short answers

Grading Scheme

•  Assignments:      25%
•  Tests:                   30%
•  Final Exam:         45%

You are expected to exhibit honesty and use ethical behaviour in all aspects of the learning process. Academic credentials you earn are rooted in principles of honesty and academic integrity. Academic dishonesty is to knowingly act or fail to act in a way that results or could result in unearned academic credit or advantage. This behaviour can result in serious consequences, e.g. the grade of zero on an assignment, loss of credit with a notation on the transcript (notation reads: “Grade of F assigned for academic dishonesty”), and/or suspension or expulsion from the university. It is your responsibility to understand what constitutes academic dishonesty. For information on the various types of academic dishonesty please refer to the Academic Integrity Policy, located at http://www.mcmaster.ca/academicintegrity

The following illustrates only three forms of academic dishonesty:

1.  Plagiarism, e.g. the submission of work that is not one’s own or for which other credit    has been obtained.

2.  Improper collaboration in group work.

3.  Copying or using unauthorized aids in tests and examinations.

Other Policy Notes:

MSAF policy:
When using the MSAF, also report your absence to me (the course instructor M. Min-Oo) immediately (normally within 2 working days) by email (minoo@mcmaster.ca) and contact me in person to learn what relief may be granted for the work you have missed, and relevant details such as revised deadlines, or time and location of a make-up exam. Please note that the MSAF may not be used for term work worth 30% or more, nor can it be used for the final examination. Here are the rules:

1. Requests for Relief for Missed Academic Term Work for absences from classes lasting up to 5 days due to a minor medical situation: Using the McMaster Student Absence Form (MSAF) on-line self-reporting tool, undergraduate students may report absences due to minor medical situations lasting up to 5 days and may also request relief for missed academic work worth less than 30% of the final grade. The submission of medical documentation is normally not required. Students may use this tool to submit a maximum of one request for relief of missed academic work per term. Students must immediately (e.g. by e-mail within 2 days) follow up with their course instructors regarding the nature of the relief. Failure to do so may negate the opportunity for relief. It is the prerogative of the instructor of the course to determine the appropriate relief for missed term work. relief for missed term work.
2. For absences from classes lasting more than 5 days: Students who are absent more than five days cannot use the on-line, self-reporting tool to request relief. They MUST report to their Faculty Office to discuss their situation and may be required to provide appropriate supporting documentation. If warranted, students will be approved to use a discretionary version of the MSAF on-line, self-reporting tool.
3. For the reporting of more than one request for relief per term: Students who wish to submit more than one request for relief of missed academic work per term cannot use the on-line, self-reporting tool to request relief. They MUST report to the office office of the Associate Dean (Studies) of their Faculty within a week of the test date, and may be required to provide appropriate supporting documentation, e.g. a doctor’s note. If warranted, students will be approved to use a discretionary version of the MSAF on-line, self-reporting tool. The instructor will act on the exemption only after receiving official communication from the relevant Associate Dean’s office that the grounds for exemption have been accepted.
4. For absences from classes unrelated to a medical situation: Students who are absent for reasons other than a medical situation cannot use the on-line, self-reporting tool to request relief. They MUST report to their Faculty Office to discuss their situation and may be required to provide appropriate supporting documentation. If warranted, students will be approved to use a discretionary version of the MSAF on-line, self reporting tool.
5. For relief from missed work worth 30% or more of the final grade: Students who have missed a piece of work worth 30% or more cannot use the on-line, self-reporting tool to request relief. They MUST report to their Faculty Office to discuss their situation and may be required to provide appropriate supporting documentation. If warranted, students will be approved to use a discretionary version of the MSAF on-line, self-reporting tool.
6. For absences from classes lasting more than five days, for work worth 30% or more, or for the reporting of more than one request for relief per term: If the reason was medical, the approved McMaster University Medical Form covering the relevant dates must be submitted. The student must be seen by a doctor at the earliest possible date, normally on or before the date of the missed work and the doctor must verify the duration of the illness. Relief will not be considered for minor illnesses. If the reason is non-medical, appropriate documentation with verifiable origin covering the relevant dates must be submitted, normally within five working days. In some circumstances, students may be advised to submit a Petition for Special Consideration (Form A) seeking relief for missed academic work. In deciding whether or not to grant a petition, adequacy of the supporting documentation, including the timing in relation to the due date of the missed work and the degree of the student’s incapacitation, may be taken into account. If the petition is approved the Faculty Office will notify the instructor(s) recommending relief. The student must contact the instructor promptly to discuss the appropriate relief. Failure to do so may negate the opportunity for relief. It is the prerogative of the instructor of the course to determine the appropriate relief for missed term work.
7. The MSAF on-line, self-reporting tool cannot be used to apply for relief for any final examination or its equivalent. Deferrals for the final exam are handled exclusively by the Associate Dean’s office.

Calculators: 

Only the standard McMaster calculator Casio fx 991MS+ can be used for the tests and the final examination.

Important Notice: 

The instructor and the university reserve the right to modify or revise information contained in this course during the term. The university may change the dates and deadlines for any or all courses in extreme circumstances. If either type of modification or revision becomes necessary, reasonable notice and communication with the students will be given with explanation and the opportunity to comment on changes. It is the responsibility of the student to check their McMaster email and course websites weekly during the term and to note any changes.

Schedule of Topics 

(the numbers are chapters and sections from the text book)

Week 1 (07/01 to 11/01):  Review of Chapter 3 and 4,  24.1, 24.2, 24.3

Week 3 (21/01 to 25/01):  24.10, 24.11, 24.12, 24.13

Week 5 (04/01 to 08/02):  25.5, 25.6, 25.7, 25.8

Week 8 (25/02 to 01/03):  30.1, 30.2, 30.3, 30.4, 30.5, 30.6, 30.7

Week 10 (11/03 to 15/03):  30.14, 30.15, 30.10

Week 12 (25/03 to 29/03):  31.5, 31.6, 31.7

 Week 13 (01/04 to 05/04): some extra material on probability and statistics

Week 14 (08/04 to  09/04)  Review