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Using Mathematica as an interactive F2F and online teaching environment Robert R. Gotwals North Carolina School of Science and Math gotwals@ncssm.edu
Teaching Environment Specialized high school for science/math students Computationally-based courses Computational chemistry Computational Medicinal Chemistry Research in Computational Science Core Courses Chemistry by Inquiry Two modes Residential (F2F) courses Online courses (NCSSM Online, http://online.ncssm.edu)
Teaching Needs Electronic notebooks Text, data, graphics, hyperlinks, other media Computational engine Data analysis (statistics) Data visualization Specialized resources Bioinformatics, other “omics” capabilities
Strategies Electronic Notebooks Microsoft Word Various wiki tools (Moodle, Wikispaces, etc.) Computational engines Excel – general data analysis tool Gnuplot (data visualization) “R” – statistics package Specialized Resources Jmol, LigandExplorer
Challenges Multiple tools, multiple platforms Lack of seamless integration Multiple learning curves No one tool adequate for our needs
Current Solution Mathematica “Mathematica is a computational software program used in scientific, engineering, and mathematical fields and other areas of technical computing” Mathematical function library Special mathematical function library 2D and 3D data and function visualization and animation tools Solvers for systems of equations Numeric and symbolic tools for calculus Multivariate statistics libraries Toolkit for adding user interfaces to calculations Tools for image processing Tools for visualizing and analyzing graphs Tools for combinatorics problems Data mining tools such as cluster analysis, sequence alignment and pattern matching Import and export filters for data, images, video, sound, CAD, GIS, document and biomedical formats Database collection for mathematical, scientific, and socio-economic information Support for complex number, arbitrary precision, interval arithmetic and symbolic computation Notebook interface for review and re-use of previous inputs and outputs including graphics and text annotations Technical word processing including formula editing and automated report generating Tools for connecting to SQL, Java, .NET, C++, FORTRAN and http based systems Tools for parallel programming
Palette Support
Sample Research Notebook
Sample Classroom Product
Sample Student Lab
Computational Engine
Specialized Computations
Mathematica Pros and Cons Pros Cross platform Exceptionally robust Huge user community Exceptional documentation / help capabilities Reasonable learning curve Cons Expensive
Questions?

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Interactive mathematica

  • 1. Using Mathematica as an interactive F2F and online teaching environment Robert R. Gotwals North Carolina School of Science and Math gotwals@ncssm.edu
  • 2. Teaching Environment Specialized high school for science/math students Computationally-based courses Computational chemistry Computational Medicinal Chemistry Research in Computational Science Core Courses Chemistry by Inquiry Two modes Residential (F2F) courses Online courses (NCSSM Online, http://online.ncssm.edu)
  • 3. Teaching Needs Electronic notebooks Text, data, graphics, hyperlinks, other media Computational engine Data analysis (statistics) Data visualization Specialized resources Bioinformatics, other “omics” capabilities
  • 4. Strategies Electronic Notebooks Microsoft Word Various wiki tools (Moodle, Wikispaces, etc.) Computational engines Excel – general data analysis tool Gnuplot (data visualization) “R” – statistics package Specialized Resources Jmol, LigandExplorer
  • 5. Challenges Multiple tools, multiple platforms Lack of seamless integration Multiple learning curves No one tool adequate for our needs
  • 6. Current Solution Mathematica “Mathematica is a computational software program used in scientific, engineering, and mathematical fields and other areas of technical computing” Mathematical function library Special mathematical function library 2D and 3D data and function visualization and animation tools Solvers for systems of equations Numeric and symbolic tools for calculus Multivariate statistics libraries Toolkit for adding user interfaces to calculations Tools for image processing Tools for visualizing and analyzing graphs Tools for combinatorics problems Data mining tools such as cluster analysis, sequence alignment and pattern matching Import and export filters for data, images, video, sound, CAD, GIS, document and biomedical formats Database collection for mathematical, scientific, and socio-economic information Support for complex number, arbitrary precision, interval arithmetic and symbolic computation Notebook interface for review and re-use of previous inputs and outputs including graphics and text annotations Technical word processing including formula editing and automated report generating Tools for connecting to SQL, Java, .NET, C++, FORTRAN and http based systems Tools for parallel programming
  • 13. Mathematica Pros and Cons Pros Cross platform Exceptionally robust Huge user community Exceptional documentation / help capabilities Reasonable learning curve Cons Expensive