Download Primarily math, science, and engineering

Rensselaer Polytechnic Institute
Directors
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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
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Build a library of interactive learning
materials
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Emphasize connections between
Mathematics and Applied Sciences
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Fit into existing courses rather than
creating new courses
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Target the Studio/Workshop styles of
teaching
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WWW-based distribution
OBJECTIVES
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Promote student learning in mathematics,
engineering, and science by focusing on the links
between these fields
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Encourage interactive teaching and learning
strategies that use a variety of proven tools
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Interactive Java and Director applets
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Paper and pencil
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Collaboration
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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
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Create a library of hypertext modules that link
topics in math with contemporary applications in
science and engineering
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Establish criteria and methods for assessing the
success of these modules
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Support other such efforts with workshops
PARTICIPANTS
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Content Developers
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Rensselaer Polytechnic Institute (~ 40 modules)
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Hudson Valley Community College (5 modules)
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University of Delaware (2 modules)
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Siena (2 modules)
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Virginia Tech (1 module)
Evaluation Team
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The Evaluation Consortium, University of Albany
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University of Maryland
Technical Support Staff
6 MAIN MATH SUBJECT AREAS
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Differential Equations
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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
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Differential Equations
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Advanced Math Methods
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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
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Differential Equations
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Advanced Math Methods
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Calculus
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Chemical Kinetics & Equilibria
Drag Forces on Solid Objects
Electrostatic Field & Potential
Curvature & Curve Design
Heat Conduction
The Gradient
6 MAIN MATH SUBJECT AREAS
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Differential Equations
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Advanced Math Methods
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Calculus
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Probability & Statistics
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Poisson & Exponential Distributions
Continuous Random Variables
Random Variable Relations
Conditional Probability
Means & Variances
Inventory Control
6 MAIN MATH SUBJECT AREAS
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Differential Equations
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Advanced Math Methods
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Calculus
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Probability & Statistics
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Discrete Mathematics
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Graph Theory
 Industrial Drilling
 Sperner’s Lemma
 Networking
 Chemistry
6 MAIN MATH SUBJECT AREAS
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Differential Equations
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Advanced Math Methods
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Calculus
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Probability & Statistics
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Discrete Mathematics
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Linear Systems
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Crystallography
Matrix Kit
Bicycle
7 MAIN APPLIED TOPICS AREAS
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Mechanical Oscillations
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Multiple Spring Mass System
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Nonlinear Pendulum
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Forced Spring Mass
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Linear Pendulum
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Spring Pendulum
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Vibrating Strings
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Fourier Series
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Spring Mass
7 MAIN APPLIED TOPICS AREAS
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Mechanical Oscillations
Probability & Statistics
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Poisson and Exponential Distributions
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Continuous Random Variables
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Random Variable Relations
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Conditional Probability
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Means and Variances
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Inventory Control
7 MAIN APPLIED TOPICS AREAS
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Mechanical Oscillations
Probability & Statistics
Electricity & Magnetism
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Electrostatic Field and Potential
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Faraday's Law and Induction
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Electromagnetic Oscillations
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Resistance & Capacitance
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Electric Field
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Ampere's Law
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Gauss's Law
7 MAIN APPLIED TOPICS AREAS
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Mechanical Oscillations
Probability & Statistics
Electricity & Magnetism
Transport Phenomena
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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
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Mechanical Oscillations
Probability & Statistics
Electricity & Magnetism
Transport Phenomena
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Linear Systems
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Crystallography
Matrix Kit
Bicycle
7 MAIN APPLIED TOPICS AREAS
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Mechanical Oscillations
Probability & Statistics
Electricity & Magnetism
Transport Phenomena
Linear Systems
System Design
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Boundary Value Problems for
ODEs
Curvature and Curve Design
Constrained Optimization
7 MAIN APPLIED TOPICS AREAS
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Mechanical Oscillations
Probability & Statistics
Electricity & Magnetism
Transport Phenomena
Linear Systems
System Design
Graph Theory
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Industrial Drilling
Sperner's Lemma
Networking
Chemistry
SAMPLE MODULES
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Drag Forces on Solid Objects
from Calculus / Transport Phenomena
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Means & Variances
from Probability & Statistics
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Vibrating Strings
from Diff Eq / Mechanical Osc
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Electric Field
from Adv Math Methods / E & M
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Networking
from Discrete Math / Graph Theory
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Bicycle
from Linear Systems
QUESTIONS
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What courses use these modules?
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Primarily math, science, and engineering
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~ 25% upper class / graduate level courses
Where is the student during use?
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In a studio class, workshop, or computer lab
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A professor, instructor, and/or a TA is available
What is the typical time frame for use?
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How many are used per course?
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One to three class periods, as needed
As few as one, as many as desired
How will Project Links be disseminated?
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Web-based distribution
MODULE DEVELOPMENT PROCESS
The Ideal Development Team
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Content Experts
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One Math Professor
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One Applied Topics Professor
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Graduate Students (RAs)
Technical Manager
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Web Site Management
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Programming Support
Educational Learning Theorists
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The Evaluation Consortium,
University of Albany
REVIEWS & EVALUATION
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In-house Alpha & Beta Testing
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Educational Expert Review
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Classroom Observation
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Educational Technology Assessment
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Student Usability Testing
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External Content Review
Documentation
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Users Manuals
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Metadata
PROJECT LINKS
Rensselaer Polytechnic Institute
http://links.math.rpi.edu/