Directors   Mark H. Holmes, Mathematics Chair   Robert L. Spilker, Biomedical Engineering Chair   Kenneth S. Manning, Links Technical Manager Rensselaer Polytechnic Institute 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 Drag Forces on Solid Objects   Means & Variances from Probability & Statistics Means & Variances   Vibrating Strings from Diff Eq / Mechanical Osc Vibrating Strings   Electric Field from Adv Math Methods / E & M Electric Field   Networking from Discrete Math / Graph Theory Networking   Bicycle from Linear Systems Bicycle

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

MODULE DEVELOPMENT PROCESS   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 The Ideal Development Team

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