Open University

Tampere

Algebra, Lectures

<p>Contact information<br>Email: <span class="spamspan"><span class="u">open.studies.tau</span> [at] <span class="d">tuni.fi</span></span><br>Phone: 0294 520 200</p><p>More information concerning Open University studies<br><a href="https://www.tuni.fi/open-university">tuni.fi/open-university</a></p>

Intermediate studies

Faculty of Information Technology and Communication Sciences

Technology and Natural Sciences

<p>Apply for Open University studies by using the following links:</p><p></p><ul><li><a href="https://tau-avoin.ilmoittaudu.fi/lobby/?realization=J-otm-8bc27142-21b1-4cff-ae48-39ebb9a1409c_2023-tampere-MATHMA450" target="_blank">MATH.MA.450 Algebra, lectures, Tampere</a></li></ul><p>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.</p><p>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.</p><p>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.</p>

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Hervanta Campus

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<p>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>.</p>

Groups and subgroups, rings, fields, ideals, homomorphisms, quotient groups and rings, polynomials of single variable.

<h2>Common</h2><h3>Lecture: </h3><p>23.10.2023 12:00 - 14:00, TAU Konetalo K1703 flippaustila (50)<br>26.10.2023 10:00 - 12:00, TAU Konetalo K1703 flippaustila (50)<br>30.10.2023 12:00 - 14:00, TAU Konetalo K1703 flippaustila (50)<br>02.11.2023 10:00 - 12:00, TAU Konetalo K1703 flippaustila (50)<br>06.11.2023 12:00 - 14:00, TAU Konetalo K1703 flippaustila (50)<br>09.11.2023 10:00 - 12:00, TAU Konetalo K1703 flippaustila (50)<br>13.11.2023 12:00 - 14:00, TAU Konetalo K1703 flippaustila (50)<br>16.11.2023 10:00 - 12:00, TAU Konetalo K1703 flippaustila (50)<br>20.11.2023 12:00 - 14:00, TAU Konetalo K1703 flippaustila (50)<br>23.11.2023 10:00 - 12:00, TAU Konetalo K1703 flippaustila (50)<br>27.11.2023 12:00 - 14:00, TAU Konetalo K1703 flippaustila (50)<br>30.11.2023 10:00 - 12:00, TAU Konetalo K1703 flippaustila (50)<br></p><h2>Groups</h2><h3>Group 1: </h3><p>01.11.2023 09:00 - 12:00, TAU Tietotalo TB207 opetustila (38)<br>08.11.2023 09:00 - 12:00, TAU Tietotalo TB207 opetustila (38)<br>15.11.2023 09:00 - 12:00, TAU Tietotalo TB207 opetustila (38)<br>22.11.2023 09:00 - 12:00, TAU Tietotalo TB207 opetustila (38)<br>29.11.2023 09:00 - 12:00, TAU Tietotalo TB207 opetustila (38)<br></p><h3>Group 2: </h3><p>01.11.2023 14:00 - 17:00, TAU Festia FC112 opetustila Dare to Learn (44)<br>08.11.2023 14:00 - 17:00, TAU Festia FC112 opetustila Dare to Learn (44)<br>15.11.2023 14:00 - 17:00, TAU Festia FC112 opetustila Dare to Learn (44)<br>22.11.2023 14:00 - 17:00, TAU Festia FC112 opetustila Dare to Learn (44)<br>29.11.2023 14:00 - 17:00, TAU Festia FC112 opetustila Dare to Learn (44)<br></p><h3>Group 3: </h3><p>02.11.2023 14:00 - 17:00, TAU Tietotalo TB207 opetustila (38)<br>09.11.2023 14:00 - 17:00, TAU Tietotalo TB207 opetustila (38)<br>16.11.2023 14:00 - 17:00, TAU Tietotalo TB207 opetustila (38)<br>23.11.2023 14:00 - 17:00, TAU Tietotalo TB207 opetustila (38)<br>30.11.2023 14:00 - 17:00, TAU Tietotalo TB207 opetustila (38)<br>07.12.2023 14:00 - 17:00, TAU Tietotalo TB207 opetustila (38)<br></p>

<p>After passing the course the student<br>- possesses an ability of abstract thinking<br>- recognizes and understands basic algebraic structures such as groups, rings and fields<br>- understands the content of the fundamental theorems of abstract algebra and is able to prove them if necessary</p>

Finnish

<h2>Prerequisites</h2><p>All the first and second year mathematics courses are recommended prerequisites for this course.<br></p><h2>Compulsory Prerequisites</h2><ul><li>Discrete Mathematics, MATH.MA.210, 5 cr</li></ul><h2>Recommended Prerequisites</h2><ul><li>Linear algebra, MATH.MA.410, 5 cr</li><li>Introduction to mathematical reasoning and number theory, MATH.MA.250, 5 cr</li><li>Matrix Analysis, MATH.APP.410, 5 cr</li></ul>

<p>The course is based on the material presented during the lectures, but the following books are all suitable for further reading: <br></p><p>Lauritzen, N., Concrete abstract algebra.</p> <p>Rotman, J., First course in abstract algebra.</p><p>Dixon, M.R., Kurdachenko, L.A. and Subbotin, I.Y., An Introduction to Essential Algebraic Structures</p>

<p>One may choose to attend the lectures and exercise groups either face to<br> face on campus or remotely, and it is also possible to complete the <br>whole course by studying only remotely.</p>

Algebra, Lectures

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Algebra, Lectures