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 Home Page for MATH 3C03

Term 1, 2013/14


Table of Contents

Announcements and Updates
Instructor
Lectures
Tutorial
Course Description
Grading Scheme
Academic Dishonesty
Policy Notes
Schedule

Announcements and Updates


Good luck with all your final exams and a Merry Christmas!

Extra office hours (beyond my normal office hours): Friday, December 13th:  4 pm to 7 pm and Monday, December 16th:  4 pm to 7 pm
You should pick up any unclaimed assignments and tests.
Diego's office hours:  Tues,  Dec 10.  4:30 - 5:30 pm
Thurs  Dec. 12  4:30 - 5:30 pm  Mon, Dec 16:  4:00 - 6:30 pm

Click  here  for your term marks (except for the last assignment). They are displayed in ascending order of the last four digits of your student ID number.
Please check your marks and report any discrepancy to me before the semester ends.


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Here are some links where you can find a discussion about the SO(4) symmetry of the hydrogen atom that V. Fock discovered:
einstein.drexel.edu/~bob/LieGroups/LG_14.pdf
hep.uchicago.edu/~rosner/p342/projs/weinberg.pdf
math.umn.edu/~karl0163/docs/fock.pdf
math.ucr.edu/home/baez/classical/runge_pro.pdf

Very recently, a "quantum microscope" was able to produce a true image (not simulated) of some orbitals of the hydrogen atom:
http://physics.aps.org/articles/v6/58


Read Chapter 19, 22 and 20.

Click  here  for some short answers (not complete solutions) to Assignment #5

Assignment #5  was due on Thursday, November 21st, 2013 at the beginning of the lecture period in class.
Please click  here  for the cover sheet which you attach (with your name and student id # on it) to your assignment.


Click  here  for short answers to Test #2 (these are just answers, you are supposed to show the appropriate steps in the Test)
Test #2 was held on Tuesday, November 12th from 19:00 to 20:00 in T29, Room 101 (A to P)  and 105 (Q to Z)
The test covered the material from Chapters 17, 18, 20 and 21.


Click  here  for short answers (not complete solutions) to Assignment #4
Assignment #4  was due on Thursday, November 7th, 2013 at the beginning of the lecture period in class.

 Read Chapter 21
 Read Chapter 18 (until things sink in!) and Chapter 21.
Click  here  for my notes on some properties of Bessel that we are using (notes from last year).
Click  here  for a table of basic facts about orthogonal polynomials that Diego compiled.
Click  here  for my notes on Legendre,  here  for Hermite and  here  for Laguerre polynomials (notes from last year).
 
Click  here  for short answers (not complete solutions) to Assignment #3
Assignment #3  was due on Thursday, October 24th, 2013 at the beginning of the lecture period in class.

 

Please finish reading Chapter 18 and start reading Chapter 20 (you can omit 20.6 and 20.7) and the first three sections of Chapter 21
Please finish reading Chapter 18 this week.

Click  here  for short answers to Test #1 (these are just answers, you are supposed to show all the appropriate steps in the Test)
 Test #1 was held on Tuesday, October 15th (the day after Thanksgiving!) from 19:00 to 20:00 in T29, Room 101 (A to P)  and 105 (Q to Z).
The test covered the material from Chapters 8, 9, 12, 13, 14, 15 and 16 and what I did in my lectures up to and including the lecture on Tuesday, October 8th.


Click  here  for my notes on  Chapter 16   and  here  for my notes on Chapter 17 (both from last year). 
Please finish reading Chapter 16 and read Chapter 17 and 18 for this week.
Click  here  to listen to some "experimental music" made with an interesting circular drum.
Click  here  for my answers (not complete solutions!) to Assignment #2
Assignment #2  was due on Thursday, October 3rd, 2013 at the beginning of the lecture period in class. (Note: I simplified question #2)
Please finish reading Chapter 14 and 15 and read Chapter 16 for this week.
Click   here  for a full-blown course on Fourier transforms at Stanford (if you watch the videos you will notice that they have better blackboards!)
Click  here  for my lecture about ODE's (from last year). 

Click  here  for my short answers (not complete solutions!)
to Assignment #1.
Click  here  for my lecture about Laplace transforms (from last year). Please finish reading Chapter 13 and read Chapter 14 and 15 for this week.
I will finish Chapter 13 on Monday and your TA, Diego Ayala, will be lecturing for me on Tuesday, this week. 
I will be back on Thursday and will give a very quick review of ODE's (Chapters 14 and 15) that you need to know for this course 
Click  here  for my synopsis of Fourier Series and  here  for Fourier Transforms. Please read it carefully, in conjunction with Chapter 12 and 13.1 in the textbook, to prepare yourself for the lectures this week.
Assignment #1  was due on Thursday, September 19th, 2013 at the beginning of the lecture period in class. Please hand it to me (Min-Oo)
Finish reading Chapter 9 and do the assignment!
Click  here  for my
synopsis of basic linear algebra, that you need to know. Please read it carefully, in conjunction with Chapter 8 in the textbook, to prepare yourself for the next two lectures!
The first tutorial will be on Wednesday, September 11th at 9:30 in HH/320. Diego Ayala will be your TA.
The first lecture was at 09:30 on Thursday,  September 5th, 2013  in Hamilton Hall Room 109

Click   here   for a detailed syllabus of the course (a week by week description, which will be regularly updated)  and for homework problems.
Students are responsible for reading the relevant material from the  textbook and/or the reference books and/or any other resources (freely available on the internet)
and also for working out most of the exercises in the book  on their own (known as experiential learning)  in preparation for the lectures.


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Instructor

Lectures


Tutorials

Course Description

Topics to be covered :
Linear algebra and eigenvalue problems, normal modes, Fourier series, Fourier transforms, Laplace transforms, ordinary differential equations, Sturm-Liouville problems,
special functions of Mathematics Physics (Legendre, Hermite, Laguerre, Chebyshev, Gamma, Bessel, etc.), spherical harmonics,
partial differential equations of Mathematical Physics (Laplace, Poisson, Heat, Wave, Schrödinger etc.), separation of variables, Green's function,
quantum harmonic oscillator, hydrogen atom.


 Required Textbook:
"Mathematical Methods for Physics and Engineering", 3rd edition, by K.F. Riley, M.P. Hobson & S.J. Bence, published by Cambridge University Press (same as last year!)

Other introductory textbooks:
"Mathematical Methods for Scientists and Engineers" by Donald A. McQuarrie (this was the textbook a couple of years ago)
"Mathematical Methods in the Physical Sciences" by Mary L. Boas  (actually I've never seen this book, but some people say it's good!)
"Mathematical Methods for Physicists" by George B. Arfken and Hans J. Weber  (a classic, although I've never read it either!)
"Advanced Engineering Mathematics" by Erwin Kreyszig  (another commonly used textbook)


Course Objective:
We will cover the material from Chapters 8(review of linear algebra), 9, 12, 13, 14(review of basic ODE), 15, 16. 17, 18, 20, 21, 19 and selected sections from Chapters 22 and 23 of the prescribed text book.

Students are responsible for reading the relevant material from the  textbook and/or the reference books and/or any other resources (freely available on the internet)  and also for working out most of the exercises in the book  on their own (that's known as experiential learning) in preparation for the lectures

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 five written assignments to be handed in on the due dates that will be announced in class. Late assignments will not be graded.
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..
4. Tests: There will be two one-hour tests. The exact dates and locations will be announced in class and this course home page.
5. Final Examination: This will be a 3-hour final examination, scheduled by the Registrar’s office during the exam period in December.
 

Grading Scheme


Academic Dishonesty:  

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) 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. Please refer to http://registrar.mcmaster.ca/CALENDAR/2013-14/pg2246.html  for the exact rules

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.


Tentative schedule of Topics 

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

Week 1 (05/09 to 06/09):  Chapter 8 (review of linear algebra)

Week 2 (09/09 to 13/09):  Chapter 8 (review of linear algebra), Chapter 9 (normal modes) 

Week 3 (16/09 to 20/09):  Chapter 12 (review of Fourier series), Chapter 13.1 (Fourier Transforms)

Week 4 (23/09 to 27/09):  Chapter 13.2 (Laplace Transforms), Chapters 14 and 15 (Review of Ordinary Differential Equations)

Week 5 (30/09 to 04/10):  Chapter 16  (Power Series solutions of O.D.E.'s)

Week 6 (07/10 to 11/10):   Chapter 17  (Sturm-Liouville Theory and eigenfunction methods), 18.1, 18.2, 18.3  (Legendre polynomials, Legendre functions,  spherical harmonics)

Week 7 (14/10 to 18/10):   18.5, 18.6 (Bessel functions)  18.7, 18.8 (Laguerre functions), 18.9 (Hermite polynomials)

Week 8 (21/10 to 25/10):   18.4 (Chebyshev polynomials)  18.10, 18.11, 18.12 (Gamma function, hypergeometric functions), Wave equation

Week 9 (28/10 to 01/11):   Chapter 21 (Partial Differential Equations of Mathematical Physics)  Laplace, Poisson, Heat, Wave,  Schrödinger

Week 10 (04/11 to 08/11):  Chapter 21 (Partial Differential Equations of Mathematical Physics) separation of variables

Week 11 (11/11 to 15/11):  Chapter 21 (Partial Differential Equations of Mathematical Physics) Green's functions, Poisson formula

Week 12 (18/11 to 22/11):  selected sections from Chapters 19, Quantum harmonic oscillator,  Hydrogen atom

Week 13 (25/11 to 29/11): selected sections from Chapters 22 and 23,  tying up loose ends

Week 14 (02/12 to 04/12): Review