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DEPARTMENT OF MATHEMATICS, NORTHEASTERN UNIVERSITY
MTH G131
: Introduction to mathematical methods and modeling.
Suggestions for course project
1)
This project concerns determining the trajectory of a rocket. We started the analysis
in one of the Problem sessions. The equation of motion is deduced using Newton’s Law;
assuming a constant rate of ‘burn’ for the fuel and a constant rate at which exhaust gases
are emitted, you can compute the trajectory as a function of time. In this project you will
include the eﬀects of air resistance and decreasing gravity as the rocket ascends. So you
will need to (a) get the equation of motion, (b) solve it for some special cases, (c) get a
numerical solution for the general case, (d) use realistic numbers for the parameters, (e)
output a nice graph showing altitude as a function of time.
2)
The TCP protocol on the Internet can be modeled as a community of users all competing
for a ﬁnite resource (in this case bandwidth). Each user probes the network for available
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This note was uploaded on 10/19/2011 for the course MATH 3354 taught by Professor Drager during the Fall '08 term at Texas Tech.
 Fall '08
 DRAGER
 Math

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