Advanced Mathematics for Engineers and Physicists I
MATH 527

Fall 2013
MA 527
EXAM 1
Fall 2013
Page 1/5
NAME
(10 pts.) 1. Determine the values of k , if any, for which the following system has
a) no solution,
b) innitely many solutions,
c) a unique solution.
10
0
11
4
(10 pts.) 2. Let A =
2 a 3
10
0
a) Calculate det A by
x
Advanced Mathematics for Engineers and Physicists I
MATH 527

Fall 2013
Sample for the Midterm 2 for MA527
1. Find the inverse Laplace transform of
s2 +6
(s2)(s2 +2s+2) .
2. Find the inverse Laplace transform of
e3s
s2 +4s+5 .
3. Compute u(t 1) (e2t u(t) and its Laplace transform.
4. Solve y (t) = 2t 4
t
0
y ( )(t )d .
5. Sol
Advanced Mathematics for Engineers and Physicists I
MATH 527

Fall 2013
MA 527
Practice problems for Exam 2
Chapter 6: Laplace transforms. Denition, behavior under dierentiation and
integration, Laplace transforms of step and delta functions, tshift, sshift, convolution,
periodic functions, and solving ODEs and systems of O
Advanced Mathematics for Engineers and Physicists I
MATH 527

Fall 2013
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Advanced Mathematics for Engineers and Physicists I
MATH 527

Fall 2013
Math 527 Fall 2008
Midterm 1
Oct 01, 2008
Faculty: B. Kaufmann
Name:
Signature:
Student ID Number:
Directions: Work on as many of the problems below as you can. Start
by working in the space below the problem; if this is not sucient use
the back of anothe