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College of Engineering and Science

Louisiana Tech University College of Engineering and Science. Using MERLOT in Teaching – Math, Physics and Engineering. Bernd S. W. Schröder Program of Mathematics and Statistics. College of Engineering and Science. Presenter’s Goal.

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College of Engineering and Science

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  1. Louisiana Tech University College of Engineering and Science Using MERLOT in Teaching – Math, Physics and Engineering Bernd S. W. Schröder Program of Mathematics and Statistics College of Engineering and Science

  2. 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

  3. Vector Fields • Vector fields • Gradient fields, physics • Line integrals, workfundamental theorem • Surface integrals, throughput College of Engineering and Science

  4. Vector Fields on MERLOT • Sketch and particle pathshttp://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

  5. Surface Integrals • Emphasis on throughput • Visualization with fluids, electricity, magnetism • Gauss’ Law College of Engineering and Science

  6. Surface Integrals College of Engineering and Science

  7. 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

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