Numerical Methods in Engineering Sciences
Contact and Kiro
-
← 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
Review
- 13 jan 2025 - Aula E4
Quadrature exercises and exercises on Ordinary Differential Equations,
- 15 jan 2025 - Aula E4
TBA
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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