Math 346: Mathematical Methods for Physics
ssharif@csusm.edu
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Spring 2014
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Prof. Shahed Sharif
Textbook. We will be using Mathematical Methods in the Physical Sciences, 3rd ed., by Mary L.
Bo
Math 346: Mathematical Methods for Physics
Spring 2014
HW 2: Complex numbers
Due: Not to be handed in
A. Let z = 1 + 2i. Write down, in rectangular form, the complex number that
we get by rotating z counterclockwise around the origin by the amount
given.
Math 346: Mathematical Methods for Physics
Spring 2014
HW 1: Complex numbers
Due: Wednesday, January 29
A. In 2.5, do problems 27, 29, 40, 43, 53, 55, 59. For 5359, you should draw
and describe your answer in words.
B. If z satises the equation z = z, the
Name:
Math 346: Exam 1
February 5, 2014
Make sure to show all your work as clearly as possible. This includes justifying your answers if
required.
Question
Points
1
30
2
30
3
30
4
30
5
30
Total:
150
Score
1. Evaluate the following. Put your answer in the
Math 346: Mathematical Methods for Physics
Spring 2014
HW 3: Row reduction
Due: Wednesday, February 12
A. In 3.2, do 311 odd.
B. With a minimum of algebra, describe the solutions to the following systems.
(a)
2x 3y + z = 12
2 x 3y + z = 2
Solution: There
Math 346: Mathematical Methods for Physics
Spring 2014
HW 4: Determinants and vectors
Due: Wednesday, February 19
A. Find the area of the triangle with vertices at (2, 1), (1, 3) and (2, 1).
Solution: We translate the triangle to the origin via the rst (f
Math 346: Mathematical Methods for Physics
Spring 2014
HW 7: Hilbert Spaces
Due: Not to be turned in
A. A particle travels in R3 in a spiral. It starts at (1, 0, 0) and climbs to (1, 0, )
after 2 seconds, making a single counterclockwise revolution around
Math 346: Mathematical Methods for Physics
Spring 2014
HW 6: Projections and more
Due: Wednesday, March 5
A. In 3.8, do problems 1, 2, 3, 7 (you should ignore the hint), 9, 11.
B. Suppose w1 and w2 form a basis for R2 . Suppose v is a vector in R2 , v1
is
Math 346: Mathematical Methods for Physics
Spring 2014
HW 5: Projections, lines and planes
Due: Wednesday, February 26
A. Prove that the diagonals of a rhombus are perpendicular. Also show that if
the diagonals of a parallelogram are perpendicular, then t