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Directors Mark H. Holmes, Mathematics Chair Robert L. Spilker, Biomedical Engineering Chair Kenneth S. Manning, Links Te

Rensselaer Polytechnic Institute. Funded through Mathematical Sciences and Their Applications Throughout the Curriculum: an NSF Initiative. Directors Mark H. Holmes, Mathematics Chair Robert L. Spilker, Biomedical Engineering Chair Kenneth S. Manning, Links Technical Manager. OVERVIEW.

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Directors Mark H. Holmes, Mathematics Chair Robert L. Spilker, Biomedical Engineering Chair Kenneth S. Manning, Links Te

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  1. Rensselaer Polytechnic Institute • Funded through • Mathematical Sciences and Their Applications Throughout the Curriculum: an NSF Initiative Directors Mark H. Holmes, Mathematics Chair Robert L. Spilker, Biomedical Engineering Chair Kenneth S. Manning, Links Technical Manager

  2. OVERVIEW • Build a library of interactive learning materials • Emphasize connections between Mathematics and Applied Sciences • Fit into existing courses rather than creating new courses • Target the Studio/Workshop styles of teaching • WWW-based distribution

  3. OBJECTIVES • Promote student learning in mathematics, engineering, and science by focusing on the links between these fields • Encourage interactive teaching and learning strategies that use a variety of proven tools • Interactive Java and Director applets • Paper and pencil • Collaboration • Textbooks

  4. OBJECTIVES • Promote student learning in mathematics, engineering, and science by focusing on the links between these fields • Encourage interactive teaching and learning strategies that use a variety of proven tools • Create a library of hypertext modules that link topics in math with contemporary applications in science and engineering • Establish criteria and methods for assessing the success of these modules • Support other such efforts with workshops

  5. PARTICIPANTS • Content Developers • Rensselaer Polytechnic Institute (~ 40 modules) • Hudson Valley Community College (5 modules) • University of Delaware (2 modules) • Siena (2 modules) • Virginia Tech (1 module) • Evaluation Team • The Evaluation Consortium, University of Albany • University of Maryland • Technical Support Staff

  6. Continuously Stirred Tank Reactor • Sequential Batch Reactions • Boundary Value Problems • Electricity & Magnetism • Mechanical Oscillations • Current & Resistance • Lake Pollution • Mass Transport 6 MAIN MATH SUBJECT AREAS • Differential Equations

  7. Faraday’s Law & Induction • Flux & Surface Integration • Constrained Optimization • Maxwell’s Equations • Ampere’s Law • Electric Field • Fourier Series • Gauss’s Law • Magnetic Field 6 MAIN MATH SUBJECT AREAS • Differential Equations • Advanced Math Methods

  8. Chemical Kinetics & Equilibria • Drag Forces on Solid Objects • Electrostatic Field & Potential • Curvature & Curve Design • Heat Conduction • The Gradient 6 MAIN MATH SUBJECT AREAS • Differential Equations • Advanced Math Methods • Calculus

  9. Poisson & Exponential Distributions • Continuous Random Variables • Random Variable Relations • Conditional Probability • Means & Variances • Inventory Control 6 MAIN MATH SUBJECT AREAS • Differential Equations • Advanced Math Methods • Calculus • Probability & Statistics

  10. Graph Theory • Industrial Drilling • Sperner’s Lemma • Networking • Chemistry 6 MAIN MATH SUBJECT AREAS • Differential Equations • Advanced Math Methods • Calculus • Probability & Statistics • Discrete Mathematics

  11. Crystallography • Matrix Kit • Bicycle 6 MAIN MATH SUBJECT AREAS • Differential Equations • Advanced Math Methods • Calculus • Probability & Statistics • Discrete Mathematics • Linear Systems

  12. Multiple Spring Mass System • Nonlinear Pendulum • Forced Spring Mass • Linear Pendulum • Spring Pendulum • Vibrating Strings • Fourier Series • Spring Mass 7 MAIN APPLIED TOPICS AREAS • Mechanical Oscillations

  13. Poisson and Exponential Distributions • Continuous Random Variables • Random Variable Relations • Conditional Probability • Means and Variances • Inventory Control 7 MAIN APPLIED TOPICS AREAS • Probability & Statistics • Mechanical Oscillations

  14. Electrostatic Field and Potential • Faraday's Law and Induction • Electromagnetic Oscillations • Resistance & Capacitance • Electric Field • Ampere's Law • Gauss's Law 7 MAIN APPLIED TOPICS AREAS • Probability & Statistics • Mechanical Oscillations • Electricity & Magnetism

  15. Chemical Kinetics and Equilibria • Continuously Stirred Tank Reactor • Drag Forces on Solid Objects • Flux and Surface Integration • Sequential Batch Reactions • Heat Conduction • Mass Transport • Lake Pollution • The Gradient 7 MAIN APPLIED TOPICS AREAS • Probability & Statistics • Mechanical Oscillations • Electricity & Magnetism • Transport Phenomena

  16. Crystallography • Matrix Kit • Bicycle 7 MAIN APPLIED TOPICS AREAS • Probability & Statistics • Mechanical Oscillations • Electricity & Magnetism • Transport Phenomena • Linear Systems

  17. Boundary Value Problems for ODEs • Curvature and Curve Design • Constrained Optimization 7 MAIN APPLIED TOPICS AREAS • Probability & Statistics • Mechanical Oscillations • Electricity & Magnetism • Transport Phenomena • Linear Systems • System Design

  18. Industrial Drilling • Sperner's Lemma • Networking • Chemistry 7 MAIN APPLIED TOPICS AREAS • Probability & Statistics • Mechanical Oscillations • Electricity & Magnetism • Transport Phenomena • Linear Systems • System Design • Graph Theory

  19. SAMPLE MODULES • Drag Forces on Solid Objectsfrom Calculus / Transport Phenomena • Means & Variancesfrom Probability & Statistics • Vibrating Stringsfrom Diff Eq / Mechanical Osc • Electric Fieldfrom Adv Math Methods / E & M • Networkingfrom Discrete Math / Graph Theory • Bicyclefrom Linear Systems

  20. QUESTIONS • What courses use these modules? • Primarily math, science, and engineering • ~ 25% upper class / graduate level courses • Where is the student during use? • In a studio class, workshop, or computer lab • A professor, instructor, and/or a TA is available • What is the typical time frame for use? • One to three class periods, as needed • How many are used per course? • As few as one, as many as desired • How will Project Links be disseminated? • Web-based distribution

  21. MODULE DEVELOPMENT PROCESS The Ideal Development Team • Content Experts • One Math Professor • One Applied Topics Professor • Graduate Students (RAs) • Technical Manager • Web Site Management • Programming Support • Educational Learning Theorists • The Evaluation Consortium,University of Albany

  22. REVIEWS & EVALUATION • In-house Alpha & Beta Testing • Educational Expert Review • Classroom Observation • Educational Technology Assessment • Student Usability Testing • External Content Review • Documentation • Users Manuals • Metadata

  23. PROJECT LINKS Rensselaer Polytechnic Institute http://links.math.rpi.edu/

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