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ODTU-Class
There will be 28 lectures given by the instructors, each lasting 2 hours. The schedule below gives a rough list of course content on a per-week basis.
Note: This schedule may be modified/reorganized as the class progresses.
| Week 1 |
Systems of Linear Equations Vectors, Matrices Solving Linear Systems using Row Reduction and Back Substitution |
| Week 2 |
Linear Systems (Continued) Introduction to Numerical/Approximate Solutions Discretization Initial value problems and Euler’s Method |
| Week 3 |
Boundary Value Problems Matrices corresponding to Differentiation Operators Differences, Derivatives and Boundary Conditions LU decomposition. |
| Week 4 | Inverses and delta functions. |
| Week 5 | Eigenvalues and eigenvectors. |
| Week 6 | Positive definite matrices. |
| Week 7 |
Equilibrium and the stifness matrix. Mechanical Vibrations. |
| Week 8 |
Projections. The method of least squares. |
| Week 9 | Review. |
| Week 10 | Structures in equilibrium. |
| Week 11 | Fourier series for periodic functions. |
| Week 12 | Special functions. |
| Week 13 |
Discrete Fourier transform. Fast Fourier transform. |
| Week 14 | Convolution and signal processing. |