LECTURE 1

• Mathematics is the study of the relationship among numbers, quantities, and shapes.
• Mathematics nurtures human characteristic like power of creativity, reasoning, critical thinking, and spatial thinking
• Mathematics helps organize patterns and regularities in the world
• Patterns and Numbers in Nature and the World

  1. Symmetry
  2. Spiral
  3. Fractal
  4. Tessellations
• Symmetry – pattern that is identical on both halves when folded
• Spiral - a curve patterns that focusses on a certain point and a series of circular shapes that revolve around it
• Fractal – are pattern build with simple repeated shapes that are reduce in size when it repeated
• Tessellations - a pattern created with aesthetical shapes with fits together with no gap
• Leonardo Pisano Bogollo is an Italian mathematician and the proponent of the Fibonacci sequence
• Leonardo Pisano Bogollo his nickname was “Fibonacci” which roughly means “Son of Bonacci”.
• Leonardo Pisano Bogollo his nickname was “Fibonacci” which roughly means “Son of Bonacci”.
• Leonardo Pisano Bogollo an Italian mathematician and the proponent of the Fibonacci sequence
• Fibonacci - Son of Bonacci
• November 23 is called a Fibonacci Day
• November 23 is called a Fibonacci Day
• Fibonacci Sequence - The sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,89, 144, 233, 377, 610, . .
• Fibonacci Sequence - Each number in the sequence is the sum of the two numbers which precede it
• Golden Ratio is denoted or referred by phi (Φ) which approximately equal to 1.618034
• The bigger the pair of Fibonacci Numbers considered, the closer is the approximation in golden ratio
• The bigger the pair of Fibonacci Numbers considered, the closer is the approximation in golden ratio