Over the course of these 5 weeks you need to complete 15 Application Labs. Some we will do together as a class (like Labs 1, 2 & 3) the rest you can do on your own on Open Lab days. If there is a lab listed here, we've covered the material necessary for you to complete it. You might have to read some background information from the book or other source. |

Lab | Type | Topic | Skills |

01 | All | MATLAB I | Basics of working with MATLAB |

02 | All | MATLAB II | Working with matrices in MATLAB |

03 | All | Network Modeling | Solving Linear Systems (rref), Section 11.2 |

04 | Open | Leontief Economic Modelling | Solving Linear Systems (rref), Section 11.9 |

05 | All | Markov Chains | Matrix equations and products, Section 11.6 |

06 | Open | Growth Models - Leslie Matrices | Matrix equations and products, Section 11.10 |

07 | Open | Graph Theory | Matrix products, Section 11.7 |

08 | All | Graphics Transformations I | Vectors, Matrix products, Section 11.11 |

09 | All | Graphics Transformations II | Vectors, Matrix products, Section 11.11 & Section 11.21 |

10 | Open | Markov Chains II - Absorbing States | Matrix products, Partitions, Inverses |

11 | All | MRCM & IFS (Fractals Again) | Graphical Transformations |

12 | Open | 3D Graphics | Graphical Transformations; Projection |

13 | Open | Cryptography | Matrix-Vector Products; Modular Arithmetic |

14 | All | Digital Signal Processing | Inner Product; Orthogonality |

15 | All | Least-Squares Fit | Linear Systems; Normal Equations |

16 | Open | Arnold's Cat Map | Matrix Multiplication (just a 2x2); Graphics; Modular Arithmetic |

17 | Difference Equations | Eigenvalues and Eigenvectors; Matrix Multiplication | |

18 | Open | Gould Index (Application to Geography) | Eigenvalues and Eigenvectors |

19 | Open | Matchmaking | Inner product; weighted inner product |

20 | Open | Seriation (Archaeology) | Matrix Transpose & Product |

ccollins@math.utk.edu