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Course Outline for PHYS 2490; Winter 2017
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- Synopsis: This course provides an introduction to the
mathematics required for both the Honours and
Majors programs in Physics and Astronomy. Topics include differential
equations, special functions and transform methods.
1.
Fourier series, real and complex forms, Parseval's theorem, Fourier transforms;
2.
Ordinary differential equations, linear first order,
homogeneous and inhomogeneous second order equations with constant
coefficients, Laplace transforms;
3.
Gamma function;
4.
Series solutions of differential equations, Legendre's
equation, Bessel's equation;
5.
Partial differential equations, Laplace's equation,
diffusion equation, wave equation.
- Textbook used: Mary L. Boas , Mathematical
Methods in the Physical Sciences, (3rd Ed., 2005).
- Homework Assignments: There
will be a weekly assignment (posted on www2.physics.umanitoba.ca/u/khodr/PHYS2490-W17/homework.html)
in order to help you digest the material. These assignments will generally
be due on Thursdays, and should be returned to you the following week. Late assignments will not be accepted; so
please hand in what you have by the due date. An honesty declaration
should be completed and handed in with each assignment.
- Midterm Exam: There
will be a 90 minute midterm exam, tentatively scheduled for Thursday,
March 16, 2017 during the normal lecture slot. The exam will consist
of questions and problems similar to those found at the end of the
chapters. The exam will be closed book, but you will be permitted to have
one eight and a half by eleven inch sheet of notes to aid you. In
addition, there will be a formula sheet provided. No makeup midterm exam
will be given. A fair assessment will be made for certified absence in a
test after the final examination has been written.
- Final Exam: The final
exam will be on all the material covered during the course. It will be 3
hours in length; the exact date and time of the exam (in April) will be
announced later in class and on www2.physics.umanitoba.ca/u/khodr/PHYS2490-W17.
Once again one sheet of notes may be used and a formula sheet will be
provided.
- Course Grade: The final grades will be determined as follows:
- Homework Assignments - 25%
- Midterm Exam - 25%
- Final Exam - 50%
Then the letter
grades will be assigned based on the following chart.
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Percentage course score
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Letter grade
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90-100 %
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A+
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80-89 %
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A
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75-79 %
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B+
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70-74 %
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B
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65-69 %
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C+
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60-64 %
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C
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50-59 %
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D
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0-49 %
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F
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