Numerical Methods in Engineering Sciences
Contact and Kiro
-
← email to schedule a meeting
- paolo.bignardi01@universitadipavia.it ← email to schedule a meeting
- Kiro
Calendar
Disclaimer: the following is a tentative schedule, there will be
adjustments and frequently we will mix lessons and
exercises on each topic.
- 2 oct 2023 - Aula C7
Numerical linear algebra, part I, introduction
- 4 oct 2023 - Aula B2
MATLAB intro and few exercises exercises
- 9 oct 2023 - Aula C7
GEM
- 11 oct 2023 - Aula B2
exercises on GEM
- 16 oct 2023 - Aula C7
pivoting, permutation
matrices, LU factorization, its cost and use
- 18 oct 2023 - Aula B2
again exercises
- 23 oct 2023 - Aula EF2 ← by Gabriele Loli
Numerical linear algebra, part II on iterative solvers
- 25 oct 2023 - Aula B2 ← by Paolo Bignardi
exercises
on iterative solvers
- 30 oct 2023 - Aula C7
Numerical linear algebra, part II,
conditioning
- 6 nov 2023 - Aula C7,
Numerical linear algebra, part II,
Conjugate Gradient
- 8 nov 2023 - Aula B2,
more exercises
on iterative solvers
- 13 nov 2023 - Aula EF2 ← by Gabriele
Loli
Numerical linear algebra part III on eigenproblems.
- 15 nov 2023 - Aula B2,
exercises
on eigenproblems.
- 20 nov 2023 - INAUGURAZIONE ANNO ACCADEMICO
- 22 nov 2023 - Aula B2,
the Inverse Power Method and
again exercises on the eigenvalues.
- 27 nov 2023 - Aula C7,
least
squares approximation.
- 29 nov 2023 - Aula B2,
Exercises
on least-squares approximation. To solve the 2nd execise, use least_squares_data.mat
- 4 dic 2023 - Aula C7,
Nonlinear equations
- 6 dic 2023 - Aula B2,
more on nonlinear equation'
solvers and related exercises;
- 11 dec 2023 - Aula C7,
Interpolation (the plot of the Runge
function is done by interpolation.m)
- 13 dec 2023 - Aula B2,
Quadrature and exercises
- 18 dec 2023 - Aula C7,
Ordinary
Differential Equations, part I
- 20 dec 2023 - Aula B2,
Ordinary
Differential Equations, part II
- 8 jan 2024 - Aula C7,
Ordinary
Differential Equations, part III
- 10 jan 2024 - Aula B2,
exercises
on methods for solving Ordinary Differential Equations and review of
exercises as the ones included in the final exam
- 15 jan 2024 - Aula C7,
final exercises (in preparation
of the written exam)
- 17 jan 2024 - Aula B2,
discussion with students (on request)
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.
- Oral exam is not compulsory. However, students who got a 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 and the MATLAB codes developed during the lab sessions.
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, the maximum grade obtainable can never exceed
24/30.
- some previous written exams.
- for students in Electronic Engineering, 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 [510810] - 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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