Introduction to Numerical Algorithms - BMETEEFBsPBNAL-00

Subjects 

(order may change)

  1. Data types, file handling, numerical precision, plotting. Vectors, matrices and vector operations (scalar, vector product, outer product, norm, etc.)
  2. Linear algebra 1: Systems of linear equations, Gauss elimination, LU decomposition
  3. Linear algebra 2: Linear and affine operators. Inverse of matrix, change of basis
  4. Linear algebra 3: Eigenvalues, eigenvectors, projection matrices
  5. Derivation
  6. Integration
  7. Random numbers, Fitting, error propagation
  8. Root and minimum finding, gradient method
  9. Fourier and Taylor series
  10. Ordinary differential equations 1: Initial value problems
  11. Ordinary differential equations 2: Boundary value problems
  12. Partial differential equations

Requirements

  • 50% on the small tests written at the beginning of the practice courses
  • 70% participation on practice courses
  • 70% of the homeworks/classwork
  • One project of your own choice (in pairs)
  • Test at the end of the semester (solo)

Evaluation

  • Small test points above the required 50% will be converted to extra points
  • Projects: 100 points
  • Test: 60 points, those who fail the test cannot get a grade. There is a test retake.
  • Those failing the test retake, or the 50% small test mark have to take an oral examination.
  • Marks (all points summed up):
    1. -63
    2. 64-87
    3. 88-111
    4. 112-135
    5. 136-

Consultation

During the classes or on demand by email.