Math the Science of Patterns (MLA Version with Number Sequences).pptx

Opening presentation for my Math for Liberal Arts class

1. Mathematics is… …the Science of Patterns! Numbers Shapes Nature Chaos

2. Mathematics is… …the Science of Patterns!

3. Can You Find the Pattern? 1, 3, 6, 10, 15, 21, … 1, 4, 9, 16, 25, 36, … 1, 5, 12, 22, 35, 51,… 28 49 70

4. Can you find the pattern? Leonardo Fibonacci c. 1170 - c. 1250 1, 1, 2, 3, 5, 8, 13, 21, … 34 The Fibonacci Sequence!

5. Fibonacci and Flowers 1, 1, 2, 3, 5, 8, 13, 21 , 34 ,…

6. Fibonacci and Music Number of Black Keys Number of White Keys Total number of Keys 5 8 13 1, 1, 2, 3, 5 , 8 , 13 , 21, 34,… An Octave

7. Fibonacci Everywhere! The Great Pyramid of Giza The Parthenon Even your Finger!

8. Deeply Embedded in Nature!

9. Math World vs. Real World Math World Real World Fractal Fern

10. Fractals in Nature

11. A Simple Fractal

12. Real World Application?

13. Chaos Theory Mandelbrot Set Benoit Mandelbrot

14. And So Even in Chaos… Mandelbrot Set …there are Patterns!

15. And So Even in Chaos… …there are Patterns!