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Rensselaer Polytechnic Institute Directors Mark H. Holmes, Mathematics Chair Robert L. Spilker, Biomedical Engineering Chair Kenneth S. Manning, Links Technical Manager Funded through Mathematical Sciences and Their Applications Throughout the Curriculum: an NSF Initiative 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 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 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 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 MAIN MATH SUBJECT AREAS Differential Equations 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 Advanced Math Methods 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 Calculus 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 Probability & Statistics 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 Discrete Mathematics Graph Theory Industrial Drilling Sperner’s Lemma Networking Chemistry 6 MAIN MATH SUBJECT AREAS Differential Equations Advanced Math Methods Calculus Probability & Statistics Discrete Mathematics Linear Systems Crystallography Matrix Kit Bicycle 7 MAIN APPLIED TOPICS AREAS Mechanical Oscillations 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 Probability & Statistics Poisson and Exponential Distributions Continuous Random Variables Random Variable Relations Conditional Probability Means and Variances Inventory Control 7 MAIN APPLIED TOPICS AREAS Mechanical Oscillations Probability & Statistics Electricity & Magnetism 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 Mechanical Oscillations Probability & Statistics Electricity & Magnetism Transport Phenomena 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 Mechanical Oscillations Probability & Statistics Electricity & Magnetism Transport Phenomena Linear Systems Crystallography Matrix Kit Bicycle 7 MAIN APPLIED TOPICS AREAS Mechanical Oscillations Probability & Statistics Electricity & Magnetism Transport Phenomena Linear Systems System Design Boundary Value Problems for ODEs Curvature and Curve Design Constrained Optimization 7 MAIN APPLIED TOPICS AREAS Mechanical Oscillations Probability & Statistics Electricity & Magnetism Transport Phenomena Linear Systems System Design Graph Theory Industrial Drilling Sperner's Lemma Networking Chemistry SAMPLE MODULES Drag Forces on Solid Objects from Calculus / Transport Phenomena Means & Variances from Probability & Statistics Vibrating Strings from Diff Eq / Mechanical Osc Electric Field from Adv Math Methods / E & M Networking from Discrete Math / Graph Theory Bicycle from Linear Systems 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? How many are used per course? One to three class periods, as needed As few as one, as many as desired How will Project Links be disseminated? Web-based distribution 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 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 PROJECT LINKS Rensselaer Polytechnic Institute http://links.math.rpi.edu/