Riemann Sum New Approach

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Riemann SumNew Approach
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Choosing a Project

• Computer Science (large field)-the branch of
  engineering science that studies (with the aid of
  computers) computable processes and structures
• Databases
• Web Programming and Design
• Graphics Design
• Programming
• Different Operating Systems

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Personal Preference

• Programming (not very creative)
• C, Java, etc.
• Mathematics
• Curve Bank
• Riemann Sum
• Calculating areas within Curves

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What is Riemann Sum

• Get a Clear Idea of how it works

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Projects in Riemann Sum

• Sample Configurable JCM Applet RiemannSums
• Improvements
• Modify Calculation
• Area between two functions
• Add more functions
• Flexibility
• Bounds
• Coordinates

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Expectations

• User Friendly
• Graphics
• Colors
• Clear and Accurate Results
• Area
• Errors

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Ideas

• Parsing
• Take any function
• Language
• Draw Functions
• Separate the drawing from calculation

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Java Research

• Applets
• Graphics
• Tools
• Classes
• Tutorials
• Affine Transformations
• General Path
• Using the parser
• Valid Input

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More research

• Transforming
• Real World to Window Coordinates
• Drawing Functions
• Tracing curves
• X, sin(x), log(x),etc.
• Finding Area

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Findings..

• Graphics vs. Graphics2D
• Lines, Rectangles
• No strings
• General Path
• Depending on function

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Programming

• Classes
• Rectangle
• Calculates Area
• Area
• Set Rectangles
• Puts Area together
• Draw
• Draws and calculates the area
• Receives all valid input
• Riemann Sum
• GUI
• Receives the information
• Validates

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Error Handling

• Out of bound
• Large values
• Invalid Inputs
• Area does not exist
• Log, Ln, Infinity
• Everything conjugates properly

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Final Result

• Riemann Sum
• Questions?