College of Engineering and Science
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Transcript of College of Engineering and Science
College of Engineering and Science
Louisiana Tech UniversityCollege of Engineering and Science
Using MERLOT in Teaching – Math, Physics and Engineering
Bernd S. W. SchröderProgram of Mathematics and Statistics
Presenter’s Goal Show how (MERLOT) applets can enhance
instruction by Doing things a blackboard cannot Bridging the gap between traditional
mathematics instruction and engineering and the sciences
Supporting “mindful symbol manipulation”
Will focus on vector fields as an example.College of Engineering and Science
Vector FieldsVector fieldsGradient fields, physicsLine integrals, work
fundamental theoremSurface integrals, throughput
College of Engineering and Science
Vector Fields on MERLOTSketch and particle paths
http://www.dartmouth.edu/~rewn/vector.htmlhttp://www.dartmouth.edu/~rewn/vector.html
Interpretation as flowhttp://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Flow/flow.html http://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Flow/flow.html
Behavior of particles in vector field:http://www.falstad.com/vector/http://www.falstad.com/vector/
College of Engineering and Science
Surface Integrals
Emphasis on throughput
Visualization with fluids, electricity, magnetism
Gauss’ Law
College of Engineering and Science
Surface Integrals
College of Engineering and Science
What the Applets Do and Don’t Do.Do:
Improve visualization Connect “abstract” mathematics to “real”
applications Consequently they support “mindful symbol
manipulation”Don’t:
Remove the need for sometimes epic computations in vector analysis (nothing will, so nothing should)
College of Engineering and Science