| Γνωριμία με το Mathematica | ||
| Quick Tips for Mathematica (nb) | ||
| Plotting with Mathematica (nb) |
Week 1: |
Student's goals for this week: 1. To learn about Parametric Equations. 2. To review basic vector properties. 3. To learn about 2D and 3D perpandicular frames (hanging, stretching and aligning) |
| Basics (nb) | Basics (pdf) | Functions (nb) | |
| Tutorials (nb) | Tutorials (pdf) | 2D Parametric (nb) | |
| Give It a Try (nb) | Give It a Try (pdf) | 3D Parametric (nb) |
Week 2: |
Student's goals for this week: To learn about the action of matrices and how to make 2D matrices: hangers, stretchers, aligners (in general rotations) and shears. |
| Basics (nb) | Basics (pdf) | ||
| Tutorials (nb) | Tutorials (pdf) | ||
| Give It a Try (nb) | Give It a Try (pdf) | ||
| Literacy (nb) | Literacy (pdf) | Literacy Solutions (nb) |
Week 3: |
Student's goals for this
week: To learn how to use aligners, stretchers and hangers to make 2D matrices do what one wants. |
| Basics (nb) | Basics (pdf) | pedro (nb) | |
| Tutorials (nb) | Tutorials (pdf) | ||
| Give It a Try (nb) | Give It a Try (pdf) | ||
| Literacy (nb) | Literacy (pdf) | Literacy Solutions (nb) |
Week 4: |
Student's goals for this
week: To learn how to compute an SVD analysis of a 2x2 matrix, and how to apply the results (of such an analysis) in various computations. |
| Basics (nb) | Basics (pdf) | ||
| Tutorials (nb) | Tutorials (pdf) | svdCalculation (nb) | |
| Give It a Try (nb) | Give It a Try (pdf) | The 4 Subspaces (nb) | |
| Literacy (nb) | Literacy (pdf) | Literacy Solutions (nb) | |
| Review week1-week4 (pdf) |
Week 5: |
Student's goals for this
week: To learn how to compute an SVD analysis of a 3x3 matrix, and how to apply the results (of such an analysis) in various computations. |
| Basics (nb) | Basics (pdf) | Matrix Project (nb) | |
| Tutorials (nb) | Tutorials (pdf) | ||
| Give It a Try (nb) | Give It a Try (pdf) | ||
| Literacy (nb) | Literacy (pdf) |
Week 6: |
Week 7: |
Student's goals for this
week: To learn that every matrix is invertible and every linear system can be solved. |
| Basics (nb) | Basics (pdf) | The 2 Figures (doc) | |
| Tutorials (nb) | Tutorials (pdf) | ||
| Give It a Try (nb) | Give It a Try (pdf) | ||
| Literacy (nb) | Literacy (pdf) | Literacy Solutions (nb) |
Week 8: |
Student's goals for this
week: To learn about: subspaces, spans, dimension, linear independence, basis, and orthonormal basis. |
| Basics (nb) | Basics (pdf) | Project2 (nb) | |
| Tutorials (nb) | Tutorials (pdf) | ||
| Give It a Try (nb) | Give It a Try (pdf) | ||
| Literacy (nb) | Literacy (pdf) |
Week 9: |
Student's goals for this
week: To learn about eigenvalues and eigenvectors, diagonalizable matrices, matrix exponential and matrix powers, and dynamical systems. |
| Basics (nb) | Basics (pdf) | ||
| Tutorials (nb) | Tutorials (pdf) | ||
| Give It a Try (nb) | Give It a Try (pdf) | ||
| Literacy (nb) | Literacy (pdf) |
Week 10: |
Student's goals for this
week: To learn about the spectral theorem for symmetric matrices and the holy grail of matrix theory. |
| Basics (nb) | Basics (pdf) | ||
| Tutorials (nb) | Tutorials (pdf) | ||
| Give It a Try (nb) | Give It a Try (pdf) |
Week 11: |
Student's goals for this
week: To learn about function spaces and functional analysis. |
| Basics (nb) | Basics (pdf) | ||
| Tutorials (nb) | Tutorials (pdf) | ||
| Give It a Try (nb) | Give It a Try (pdf) |