| 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