1. Mortgages and Seashells

2. 1. Iterating Linear Functions

6. A Useful Linear Function

7. A General Financial Formula

8. Suppose you borrowed $10,000 from a bank that charged.05% interest per month and would like to make payments of $500 per month. How long would it take to pay off the loan? An Application

9. -10000, B(n) = 0

10. 2. Iterating Geometric Transformations

11. Rotate thru -90

12. Dilate about the origin by a factor of.618

13. Translate over 1, up 1

14. Rotate thru -90

15. Dilate about the origin by a factor of.618

16. Translate over 1, up 1

17. The Golden Spiral

18. Golden Spiral?

19. 3. Iterating Complex Linear Functions

21. 3. Complex Linear Functions

22. The Golden Rectangle Function

24. Putting DeMoivre’s Theorem to Work

25. Problem: This gives complex numbers as a function of a real variable. How do you plot g(x)? Need to plot ( real[g(x)], imaginary[g(x) ) for x = 0 to 20 Mathematica to the rescue!