Open University

Tampere

Numerical Analysis, Lectures

Email: open.studies.tau [at] tuni.fi (open[dot]studies[dot]tau[at]tuni[dot]fi) Phone: 0294 520 881More information concerning Open University studies <a href="https://www.tuni.fi/open-university">tuni.fi/open-university</a>

Advanced studies

Faculty of Information Technology and Communication Sciences

Technology and Natural Sciences

Data Processing and Information Technology

Apply for Open University studies by using the following links:<ul><li><a href="https://tau-avoin.ilmoittaudu.fi/lobby/?realization=J-otm-e6114d5d-5849-4ccb-a00e-2fd0dd650814_2024-tampere-MATHAPP460" target="_blank">MATH.APP.460 Numerical Analysis, lectures, Tampere</a></li></ul>You can find a link to the Open University Admissions service and application instructions on the <a href="https://www.tuni.fi/en/study-with-us/open-higher-education-studies/open-university/applying-open-university">Applying to Open University studies</a> page.Some of the studies require prior studies. For example, studying intermediate studies may require some completed basic studies. These are described on the Information about studies tab of the study unit under prior requirements.When you have been admitted to the studies, you must enrol separately via the Sisu information system for the implementation of the unit of study and, for example if set, for a practise group of your choice. You will receive instructions on how to do this by e-mail after you have confirmed your acceptance of the study place by paying the required fee.

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Hervanta Campus

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Look information at <a href="https://www.tuni.fi/en/study-with-us/open-higher-education-studies/open-university/applying-open-university">Applying to Open University studies</a>.

Core content:<ul><li>Discretizing ordinary differential equations </li></ul><ul><li>Solving linear and nonlinear systems</li><li>Interpolating functions</li><li>Function approximations</li><li>Numerical integration</li><li>Error analysis</li></ul>Complementary content:<ul><li>Matlab and/or Python in problem solving</li><li>Visualizing solutions</li></ul>Special content:<ul><li>Numerical methods for partial differential equations, e.g., finite difference and finite element methods</li><li>Runge-Kutta and Leap-Frog methods for solving initial value problems</li><li>Methods for fining roots, e.g., &#160;Newton-Raphson method</li><li>Polynomial, spline and wavelet approximations</li><li>Interpolation methods such as Runge&amp;#39;s method</li><li>Numerical quadratures, for example, Newton-Cotes -method, trapezoid and Simpson&amp;#39;s formula</li><li>Least squares fitting methods</li></ul>

<h2>Groups</h2><h3>Other Event: Math Shack (in English)</h3>25.10.2024 12:00 - 14:00, TAU Tietotalo TB223 Laskutupa (32) 28.10.2024 15:00 - 17:00, TAU Tietotalo TB223 Laskutupa (32) 01.11.2024 12:00 - 14:00, TAU Tietotalo TB223 Laskutupa (32) 04.11.2024 15:00 - 17:00, TAU Tietotalo TB223 Laskutupa (32) 08.11.2024 12:00 - 14:00, TAU Tietotalo TB223 Laskutupa (32) 11.11.2024 15:00 - 17:00, TAU Tietotalo TB223 Laskutupa (32) 15.11.2024 12:00 - 14:00, TAU Tietotalo TB223 Laskutupa (32) 18.11.2024 15:00 - 17:00, TAU Tietotalo TB223 Laskutupa (32) 22.11.2024 12:00 - 14:00, TAU Tietotalo TB223 Laskutupa (32) 25.11.2024 15:00 - 17:00, TAU Tietotalo TB223 Laskutupa (32) 29.11.2024 12:00 - 14:00, TAU Tietotalo TB223 Laskutupa (32) 02.12.2024 15:00 - 17:00, TAU Tietotalo TB223 Laskutupa (32) 06.12.2024 12:00 - 14:00, TAU Tietotalo TB223 Laskutupa (32) <h2>Voluntary</h2><h3>Lecture: Lecture</h3>21.10.2024 08:00 - 10:00, TAU Rakennustalo RO104 opetustila (26) 25.10.2024 14:00 - 16:00, TAU Rakennustalo RO104 opetustila (26) 28.10.2024 08:00 - 10:00, TAU Rakennustalo RO104 opetustila (26) 01.11.2024 14:00 - 16:00, TAU Rakennustalo RO104 opetustila (26) 04.11.2024 08:00 - 10:00, TAU Rakennustalo RO104 opetustila (26) 08.11.2024 14:00 - 16:00, TAU Rakennustalo RO104 opetustila (26) 11.11.2024 08:00 - 10:00, TAU Rakennustalo RO104 opetustila (26) 15.11.2024 14:00 - 16:00, TAU Rakennustalo RO104 opetustila (26) 18.11.2024 08:00 - 10:00, TAU Rakennustalo RO104 opetustila (26) 22.11.2024 14:00 - 16:00, TAU Rakennustalo RO104 opetustila (26) 25.11.2024 08:00 - 10:00, TAU Rakennustalo RO104 opetustila (26) 29.11.2024 14:00 - 16:00, TAU Rakennustalo RO104 opetustila (26) 02.12.2024 08:00 - 10:00, TAU Rakennustalo RO104 opetustila (26)

This numerical analysis course focuses on combining mathematical theory and numerical techniques in computational sciences and technology. It teaches numerical discretization, approximation and solution methods for solving mathematical problems. The course has a variable content. After completing the course, the student will master the principles of numerical analysis for an entity which can &#160;cover, for example, methods for discretizing ordinary differential and partial differential equations, solving linear and nonlinear systems as well as integrating and approximating functions. MATLAB software on will be preferred on the course. Alternatively the student can also use Python. The literature will be specific per course implementation.

Finnish

Sauer T., &quot;Numerical Analysis., 2nd Edition&quot;, George Mason University, Pearson, 2014

<h2>Compulsory Prerequisites</h2><ul><li>Vectors and Matrices, MATH.MA.140, 5 cr</li><li>Differential and Integral Calculus, MATH.APP.160, 5 cr</li></ul><h2>Recommended Prerequisites</h2><ul><li>Multivariable Calculus, MATH.APP.220, 5 cr</li><li>Mathematical and statistical software, DATA.STAT.510, 5 cr</li></ul>

Numerical Analysis, Lectures

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Numerical Analysis, Lectures