Διδάσκων
Αλκιβιάδης Γ. Ακρίτας, Αναπληρωτής Καθηγητής.
email: akritas@uth.gr
Σημειώσεις μαθήματος
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) |
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. |
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. |
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. |
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. |
Week 6: |
Review
and 1st midterm
exam. Example.
|
Week 7: |
Student's goals for this
week: To learn that every matrix is invertible and every linear system can be solved. |
Week 8: |
Student's goals for this
week: To learn about: subspaces, spans, dimension, linear independence, basis, and orthonormal basis. |
Week 9: |
Student's goals for this
week: To learn about eigenvalues and eigenvectors, diagonalizable matrices, matrix exponential and matrix powers, and dynamical systems. |
Week 10: |
Student's goals for this
week: To learn about the spectral theorem for symmetric matrices and the holy grail of matrix theory. |
Week 11: |
Student's goals for this
week: To learn about function spaces and functional analysis. |