Mathematical Modelling Collection

Lew W. S.

Collection of applets suited for mathematical modelling tasks in Singapore


  • 1. Modelling of Tidal Height vs Time (Trigonometric Function)
  • 2. Mathematical Modelling of Filling of Circular Water Tank
  • 3. Modelling of the Parabolic Shape of the Flower Dome
  • 4. Using Straight Line Graphs From Data to Determine Functions
  • 5. Animated Twitter Bird
  • 6. Games for Fun - Learn Math While Building Games
  • 7. Parallel Parking optimization (US customary units)
  • 8. Jug Graphs
  • 9. Speed Time Graph for Self Directed Learning (Customizable)
  • 10. Rolling Bridge
  • 11. Function Machine 2
  • 12. Rotational Inertia Lab (choice of three scenarios)
  • 13. Study Simulating Bubble Generation based on Timings using Poisson Process
  • 14. Elevator Kinematics v.2
  • 15. Deplacement, velocity and acceleration in the same visual

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Modelling of Tidal Height vs Time (Trigonometric Function)

Find the appropriate trigonometric function that can represent and model the relationship between two variables in a given set of data, which consists of a 24 record of the tidal heights.[br][br]The following possible functions could be considered : [br]H = a sin bx + c or H = a cos bx + c[br][br]The worksheet and the complete table of values from 0 to 24 hours may be found at : https://docs.google.com/file/d/0B8UevKhlhG9nNk9hVzlUOXc5LUk/edit?usp=sharing
Use sliders for values of a, b and c to vary the shape of curve to fit the given points plotted.[br][br]Are you able to determine the amplitude and period , or the axis of the plotted points visually?
– Lew W. S.

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