Phy 301: Methods of Analytical Physics, Department of Physics & Astronomy, College of Engineering, Forestry, & Natural Sciences, University of Idaho, 2010 Fall, 3 hours, 3 credit hours.
       
       
W.V. Quine (1908jun25--2000dec25),
``From a Logical Point of View'', p. 15
The course mottos: very reassuring I think.
Caption: "Detail of a scene in the bowl of the letter 'P' with a woman with a set-square and dividers; using a compass to measure distances on a diagram. In her left hand she holds a square, an implement for testing or drawing right angles. She is watched by a group of students. In the Middle Ages, it is unusual to see women represented as teachers, in particular when the students appear to be monks. She may be the personification of Geometry. Illustration at the beginning of Euclid's Elements, in the translation attributed to Adelard of Bath. Year: 1309--1316, France (Paris)."
Credit: Unknown 14th century artist, posted by User:Leinad-Z:
Linked source: Wikipedia image http://en.wikipedia.org/wiki/File:Woman_teaching_geometry.jpg.
Public domain at least in USA.
Sections
which is the page you are maybe viewing right now.
This page is the preliminary syllabus and includes
Syllabus Items
and
Tentative Schedule.
This page is/will be/may be linked from the official physics department
UG physics course page.
This is a somewhat more pedagogical version of
the classic Arfken book:
Arfken & Weber, 2005, Mathematical Methods for Physicists
(hereafter usually
Arfken).
Yours truly actually uses Arfken (1970) as a reference---since that is the
edition of Arfken that he's had for three dog ages.
Weber
is, of course, pretty good.
All the good stuff presented with explication and enough rigor for
most physicists.
I have to admit that sometimes the pedagogy stuff is an annoyance to me.
I prefer to see the general result and then specialize for examples:
i.e., I like the original Arfken style better.
But this may just be a matter of taste.
Also maybe fewer, but choicer words would help in some cases I think.
There are also a few typos, wrong internal references (which
happen all the time in revised editions), and even occasionally
(in my view) subpar explication.
Students (and instructors) shouldn't be afraid to challenge the text:
usually the text is right, but even
Arfken nods.
Nonetheless you will probably treasure this book and keep it after the
binding falls apart and it is in piles of fragments.
We will hew pretty closely to
Weber
since, among other things, the instructor's knowledge
is nearly textbook thin on many, but not all topics.
We only cover part of
Weber
since there is more in
Weber
than can be covered in two semesters (maybe even three semesters) and we have only one: see
Tentative Schedule below.
There are lots of proofs, but the rigor is a bit low.
The proofs are physicsy proofs often.
In some cases, we just say someone has proved the result: e.g.,
the completeness of sets of Sturm-Liouville eigenfunctions.
Even
Weber (p. 511)
and
Arfken (1970, p. 443)
give up on this one and just
refer to
Courant & Hilbert (1953, Vol. 1, Chap. 6, Sec. 3)---they pass the buck to great
granddad.
Much of the material will reappear in quantum mechanics, electromagnetism,
and other physics contexts. There will be a synergy with those other courses.
Some items might be continuously useful all your lives.
Others you may never see again---but your darkness will have
been enlightened---briefly anyway.
Math helps.
Earthrise from Apollo 11, 1969jul16.
Credit:
NASA.
This course will NOT be straight lecturing.
You need to take notes, but you also will be challenged to solve
questions in class in real time.
So have your pen and paper handy.
It's not going to be just passive learning.
It's going to be at least somewhat active learning.
Learning is literally forming neural connections in the brain.
It takes training---it's like weight lifting.
Some questions will be easy; some will be harder.
A minute or so for easy ones up to maybe 5 minutes for really hard ones.
Some questions are meant to be worked out individually, but others
can be discussed and worked on in groups.
Sometimes I just expect someone to answer the question in ordinary classroom fashion.
There's no hard line between the three possibilities.
I imagine most of you know each other already, but right now we
will take a couple of minutes for you to introduce yourselves to
your neighbors---even if you are already know them.
Meanwhile I'm going to circulate quiz 1.
It's voluntary, but it'll be me an idea of who you-all are and allow
you to request posting of grades online by anonymous alias which is allowed
by NAU rules, but email and telephone communication of grades is not
(Ferpa Rules on Grades).
A sample of online grade posting is the fictitious
section 2 grades.
Actually, I will require a signature for all handed in work.
Your signature, as
always, is your mark of genuineness.
Caption: "John Hancock's signature."
Credit: John Hancock (1737--1793);
User:Auawise.
Linked source: Wikipedia
image
http://en.wikipedia.org/wiki/File:JohnHancocksSignature.svg.
Permission: Public domain at least in USA.
Time passes---ready for me to go on?
Is this a hard or an easy course?
Fairly hard, but that's no change for any of us.
The homeworks will be posted along with their due dates
online on the
Tentative Schedule below.
There is some flexibility about due dates.
You will need the SUPERSECRET username and password access to the homeworks and solutions.
(They are the same as for the grade posting.
The username/password is just for a bit of extra security. The posted grades are really
protected by the anonymous aliases.
You get 5 marks just for a complete homework and maybe 5 marks for a marked question chosen
by the instructor.
I hope to mark one question on each homework, but I'm not sure of the time I'll have available.
Maybe I can get a grader to help out.
The solutions will be posted on the the
Tentative Schedule eventually.
Typically about 50 to 70 % or more of the full-answer exams questions
will be drawn from
the homeworks or, in the case of the FINAL, past exams also.
Questions that reappear on the exams
might be tweeked a bit from previous versions.
Homeworks will count 10 % or so of the final grade.
All homeworks count the same no matter what they are marked out of.
Homeworks should be done with full effort.
Study
Weber
and your notes.
Then tackle the problems.
At least at first try not to look back at notes or text.
Try to drag the solution out by memory and thought.
Try anything.
Then look for help in text or notes.
Then ask colleagues or yours truly for help.
Caption: "Bildbeschreibung: Bronzeskulptur Archimedes by Gerhard Thieme (1972) Berlin-Treptow,
Berlin/Germany; Standort: Berlin-Treptow, im Garten der Archenhold-Sternwarte"
Early stage of trying anything.
Credit: User:SpreeTom, 2006dec14.
Linked source: Wikipedia
image
http://en.wikipedia.org/wiki/File:Gerhard_Thieme_Archimedes.jpg.
Permission: Use under
GNU
Free Documentation License.
Lots of solutions are out there:
Wikipedia,
Wolfram MathWorld,
Mathematical Physics Lectures
(yours truly's very meagre start on a set of online mathematical physics lectures
But it doesn't do you much good to just look at a solution---at least not until you've thought
really hard about the problem---and it's .
You have to form long-term memory
with long-term neural connections of the subject material.
You are all in STEM---you need those
long-term neural connections---and most of the homework grades will be just for doing the
work anyway.
Caption: "Holbein d. J., Hans; Title: Deutsch: Portraet des Erasmus von Rotterdam am Schreibpult;
Year: 1523".
Doing his homework.
Credit: Hans Holbein the Younger.
Linked source: Wikipedia
image
http://en.wikipedia.org/wiki/File:Hans_Holbein_d._J._047.jpg.
Public domain at least in USA.
The in-class exams cover the material up to some cut-off point
that will be announced in class and on the course web page
in the
Tentative Schedule.
Caption: " `The school exam'. Oil on canvas, 103 X 175 cm. Kunstmuseum Bern. Date 1862".
Just like this it'll be.
Credit: Albert Anker (1831--1910).
Linked source: Wikipedia
image
ihttp://en.wikipedia.org/wiki/File:Albert_Anker_-_Das_Schulexamen.jpg.
Public domain at least in USA.
The tentative dates for the exams are:
The exams will mainly consist of full-answer questions.
A few easy multiple-choice questions may be included at the start as a warm-up.
NO scantrons are needed.
The exams are closed book.
Calculators are permitted only for calculational use which may be slight.
No saved formulae, solutions, programs---you are on your honor.
Cell phones MUST be turned off and be out of sight.
Make-up exams are possible, but students must ask for them
promptly and avoid knowing anything about given exams.
Caption: An animation showing maybe realistically how the relative angular position (i.e.,
parallaxes) of objects at different
distances changes with side-to-side motion.
The animation doesn't show this clearly, but the distant objects should
show less parallax than the
closer ones.
Credit: User:Natejunk2004.
Linked source: Wikipedia
image
http://en.wikipedia.org/wiki/File:Parallax.gif.
Permission: Licensed under the
Creative Commons Attribution ShareAlike 2.5.
Each in-class exam is worth 22.5 % or so of the final grade.
Attendance is NOT kept and NO marks are assigned
for attendance.
Students are encouraged to keep good attendance.
Attendance keeps all of us yoked to the material and moving forward.
It's hard to fall completely behind if you attend lectures.
And there is lots of evidence that good attendance correlates
with achievement---but don't ask me to produce this evidence---it's
what deans tell me.
Letter grades will be assigned
per
NAU
grading policy--which allow instructors some freedom of
interpretation on how do determine ``average''.
The instructor uses a curve to automatically
assign letter grades during the semester---if there are enough
students to make a curve meaningful---if there arn't, the
instructor
just decides on letter grades.
There is NO fixed scale.
The curve is only used for current total grade: individual items (tests, etc. are NOT curved).
For these curved grades the instructor uses an 11-grades scale: A,B+,B,B-,C+,C,C-,D+,D,D-,F.
There are no pluses or minues with A and F.
The final grades are decided on by the instructor
directly---the curve is NOT used, except as a guide.
In this course, I expect that the class
GPA
will be in the B- range (i.e., about 2.7) or a bit higher---but I am rather
parsimonious about A's---just being in the upper half of the class is not enough.
There do NOT have to be any D's or F's---the curve is NOT used for final grades.
The
NAU
grading policy has only 5 levels, of course: A,B,C,D,F.
The instructor
will submit MIDTERM GRADES and FINAL GRADES
as scheduled in the
2010 fall academic calendar.
Remember that after an instructor has submitted FINAL GRADES,
any adjustments (except for purely clerical errors) are NOT easy.
This is true for any course.
Students should make any queries about their final grades before
the instructor submits them.
They are a measure of what you learn in a course: the learning itself is what counts ultimately.
If you've worked hard in a course and learnt a lot, then that helps you will all the following
courses and all the rest of your life.
The best strategy is to work hard in a course subject to all other constraints in life.
Of course, if you need a specific grade for some particular thing (e.g., a scholarship),
don't undershoot.
Don't imagine you can fine tune your effort just to get that specific grade.
http://physics.nhn.ou.edu/~jeffery/course/c_math/math.html
But all instructors think that about their texts.
Yours truly does NOT use
Blackboard Vista---mostly
because I'm used to doing what I do, but also
Blackboard Vista is
will disappear in 2011 and there's not much sense in learning it now.
For anonymous alias, I require a signature.
I will also circulate a seating plan---no you don't have to sit in the same place
ever again, but it will help me get started at learning names.
Looking up solutions online is .
The final is about 50 % weighted or more on material since the last in-class
exam and about 50 % weighted or less on all the material that came before
the last in-class exam.
_________________________________________________________________
Exam Date Solutions (posted post-exam)
_________________________________________________________________
Exam 1 Sep30 R Exam 1 solutions
Exam 2 Dec09 R Exam 2 solutions
Final Exam Dec14 T Final Exam solutions
The final is at 7:30--9:30 am in the regular class room
as specified by
Finals schedule for 2010 Fall.
_________________________________________________________________
homeworks 10 % or so 1 drop
2 in-class exams 35 % or so no drop
1 comprehensive final 55 % or so no drop
Note that yours truly is leaving myself a bit of wiggle room on weighting.
I don't think I will wiggle, but sometimes anomalies arise and a bit of
wiggling is expedient.
In any course, just showing for the lectures keeps the student
at least partially up to date just in itself.
There are absolutely NO extra credits.
About grades: they are important, but they are not everything.
Beware of aliens bearing grades.
No dated schedule has ever been adhered to by the instructor---except in summer semesters where it's easy to do.
So there are no dates in this Tentative Schedule.
But we have 8 chapters scheduled in my current plan and 15 weeks of classes, and so we will count on covering a chapter every two weeks or so.
It is hoped we will cover all the scheduled chapters in the given order, but some omissions and permutations may occur.
Additions are not too likely, but if we have time there is lots to add.
The detailed contents of Weber have been used below.
But the students are expected to know the whole chapter---since they have covered the material in earlier courses.