Numerical Methods in Engineering Sciences

Corso di laurea: Electronic Engineering


Contact and Kiro

  • anti-spam ← email to schedule a meeting
  • paolo.bignardi01@universitadipavia.it ← email to schedule a meeting
  • Kiro

Using MATLAB at UNIPV

  • use this form for requesting an account in the computer lab B1
  • go to this page to get a MATLAB license

Calendar

Disclaimer: the following is a tentative schedule, there will be adjustments and frequently we will mix lessons and exercises on each topic.
  • 30 sett 2024 - Aula B1
    Review of linear algebra fundamentals
  • 2 oct 2024 - Aula B1-B2
    MATLAB intro (by Paolo Bignardi)
  • 7 oct 2024 - Aula B1
    Numerical linear algebra, part I: triangular systems, GEM, and LU factorization...
  • 9 oct 2024 - Aula E4
    Numerical linear algebra: part II on GEM/LU computational cost and part III on LU with pivotiong and applications.
  • 14 oct 2024 - Aula B1
    Numerical linear algebra, MATLAB exercises on triangular systems, GEM, and exercises on LU factorization.
  • 16 oct 2024 - Aula E4
    Numerical linear algebra, part IV on iterative methods
  • 21 oct 2024 - Aula B1+B2
    Numerical linear algebra: part V on iterive methods... (lesson by Gabriele Loli)
  • 23 oct 2024 - Aula B1+B2
    ... and conditioning (lesson by Gabriele Loli)
  • 28 oct 2024 - Aula B1
    Numerical linear algebra, MATLAB exercises on iterative solvers
  • 30 oct 2024 - Aula E4
    Numerical linear algebra, part VI on descent methods
  • 4 nov 2024 - Aula B1
    Numerical linear algebra, part VII on sparse matrices and exercises on iterative solvers again
  • 6 nov 2024 - Aula E4
    Numerical linear algebra, eigenvalues and how to compute them
  • 11 nov 2024 - Aula B1
    exercises on eigenproblems.
  • 13 nov 2024 - Aula E4
    least squares approximation.
  • 18 nov 2024 - Aula B1
    Exercises on least-squares approximation. To solve the 2nd execise, use least_squares_data.mat
  • 20 nov 2024 - Aula E4
    Solving non-linear equations: bisection method
  • 25 nov 2024 - Aula B1
    Solving non-linear equations: Newton method and exercises on non-linear equation solvers
  • 27 nov 2024 - Aula B1
    Interpolation
  • 2 dec 2024 - Aula B1
    Interpolation again (the plot of the Runge function is done by interpolation.m)
  • 4 dec 2024 - Aula E4
    Quadrature
  • 11 dec 2024 - Aula E4
    Ordinary Differential Equations, part I and Ordinary Differential Equations, part II
  • 16 dec 2024 - Aula B1
    Ordinary Differential Equations, part III
  • 18 dec 2024 - Aula E4
    Lesson cancelled for the graduation day. A discussion for reviewing MATLAB codes is available upon student request
  • 8 jan 2025 - Aula B1
    Blackboard exercises on quadrature and ODEs, and matlab exercises on
    quadrature and ODEs
  • 13 jan 2025 - Aula B1
    Practice on exam, basic level with exercises and solutions
  • 15 jan 2025 - Aula B2
    Practice on exam, basic level with more exercises (with solution) and discussion with studends.

Grading procedure

  • The exam will be written. Each student will be offered a couple of questions on topics developed in the classes and has one hour to answer.
  • There are two levels of exam:
    • Basic exam: it consists in a two questions and/or exercises (one easy and one medium difficulty), intended to verify the knowledge of numerical algorithms and the capability of applying them, without the need for a deep understanding. The maximum grade is 24/30.
    • Advanced exam: it consists in a couple questions (one medium difficulty and one theoretical-oriented), intended to verify comprehension of the subjects and not just a mere application of ready-to-use formulas. The answers must be articulated with a certain mathematical precision. The maximum grade is 30/30 cum laude.
  • some previous written exams.
  • the written exam of Numerical Methods in Engineering Sciences is held concurrently with the written exam of Advanced Mathematical Methods for Engineers. The written exams must be taken on the same day, possibly followed by an oral exam (on student request), leading to the evaluation for the course ADVANCED MATHEMATICAL AND NUMERICAL METHODS FOR ENGINEERS. Oral exam is not compulsory. However, students who got an overall (Adv.Math.Meth.+Num.Meth.) positive grade in the written part (i.e., at least 18/30) might choose to take an oral exam. The oral exam covers the topics presented during the lessons of both courses: Advanced Mathematical Methods for Engineer and Numerical Methods in Engineering Sciences. The oral exam can change the grade in any direction: a poor oral part might end up in a failed exam. For students that chose the basic written exam for the part of Numerical Methods in Engineering Sciences, the maximum grade obtainable can never exceed 24/30.

References


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