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MATHEMATICAL PHYSICS I:
MATH 402
Instructor:
Dr. Barbara Hale
[email protected]
Office :
205 Physics
Hours:
Tuesday, Thursday P.M.
Text:
None is required.
If you wish to buy a book to brush up on your background, "Mathematical Methods
for Physicists", 5
th
Edition, by George Arfken and Hans J. Weber, Harcourt/Academic Press, New York
2001, is a good choice.
A set of notes will be handed out and will serve as a text.
A list of books for reference is attached.
Course Outline:
I.
Vector Spaces
II.
General Coordinate Transformations
III.
Vector Analysis
IV.
Tensors
V.
Differential Equations and Special Functions
VI.
Three Dimensional Green's Functions (time permitting)
Problem Sets:
approximately one problem set per week;
these will be graded and returned with solutions.
Exams:
There will be three exams plus a comprehensive final.
Grading:
Each regular exam:
100 points
Final exam:
150 points
Problem Set Average:
100 points
A student who improves consistently during the semester and receives an A on the final exam can earn
an A in the course.
Otherwise, an average is used to determine the final grade.
In the past, an 85% average = A.
You will find that solutions to some of the problem sets are available from students who have taken the course in
recent years.
I have no objection to your looking at a solution after you have worked diligently to
develop your own.
If you run into trouble, I
suggest that you look briefly at the solution, then put it away and try to write out your own
version.
Your solution should not be a copy. If you need help, please come to see me and I will help you get started.
It is most important that you understand how to do the problems.
Past experience has shown that copying solutions
does not give students enough practice to pass the exams (which are comprehensive and tend to be long).
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View Full Document Syllabus of Mathematical Physics I (Math 402)
(University of MissouriRolla)
(This course is based on a set of notes developed to give the students mathematical "tools" for problem solving.
Several
references are suggested, but no text is required.
All students receive copies of the notes and (after grading) solutions
to problems and exams.)
I.
Vector Spaces
Definitions of field, vector space, inner product, norm, metric; unitary vector space, normed vector space,
orthogonality, Schmidt orthogonalization procedure, linear independence, completeness; basis vectors, dimension; linear
transformations, powers of operators; Hermitian conjugate, Hermitian orthogonal and unitary operators; three
dimensional Euclidian space; transformations between Cartesian coordinate systems: Euler angle rotations.
II.
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This note was uploaded on 12/20/2010 for the course PHYS 402 taught by Professor J. during the Fall '09 term at Missouri S&T.
 Fall '09
 J.
 Physics

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