CS141: Topics for March 31, April 2, & 4, 2014

• Review Exam 2 results.

• Labs
  • Continue Lab 6: Turtle Graphics.
  • Begin Lab 7: Introduction to Complex Numbers

• Turtle Graphics

  • Imagine a turtle walking around the window. It has 2 possible operations: move forward/backward, or turn by some angle

• Turtle Graphics with Recursion

  • By applying recursion, one can obtain complex, fractal turtle paths with little code.

• Complex and Imaginary Numbers:

  • Quadratic and Cubic equations
  • People: Tartaglia, Cardano, Bombelli, ...
  • What is i?
  • What is a complex number?
  • Applications: physics, engineering, ...
  • Complex artithmetic
  • Intuition: What is their behavior? See Processing.
  • See Exercises in lab.

• Links:

  • Cubic Equations
  • Why Complex Numbers
  • Wikipedia
  • Wolfram MathWorld