Mathematical Explorations with MATLAB Book

Part I. Foundations:

1. Introduction;
2. Matrices and complex numbers;
3. Whole numbers;
4. Graphs and curves;
5. Representation of data;
6. Probability and random numbers;
7. Differential and difference equations;

Part II. Investigations:
8. Magic squares;
9. GCDs, pseudoprimes and Miller's test;
10. Graphics: curves and envelopes;
11. Zigzags and fast curves;
12. Sequences of real numbers;
13. Newton-Raphson iteration and fractals;
14. Permutations;
15. Iterations for nonlinear equations;
16. Matrices and solutions of linear systems;
17. Functional interpolations and approximation;
18. Ordinary differential equations;

Part III. Modelling:
19. Checkout queues: long or short;
20. Fish farming;
21. Epidemics;
22. Dynamics of snowboating;
23. Tides.