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                    MAT3110 - H?st 2021
                  
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        <h1>Beskjeder
          
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              <div class="vrtx-result-1 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/office-hours-before-the-continuation-exa.html">Office hours before the continuation exam</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
12. jan. 2022 09:29            </div>


            <div class="description introduction">
                <p>There will be two office hours before the continuation exam: Today (Wednesday) at 14:00–15:00, and Thursday 20 January at 13:00–14:00. You will find the Zoom link in Canvas.</p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-2 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/the-continuation-exam.html">The continuation exam</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
7. jan. 2022 10:08            </div>


            <div class="description introduction">
                <p>For some reason the MN Faculty set a very short deadline for signing up to the continuation exam. If you have missed the deadline for signing up for the continuation exam, you can send an e-mail to the Faculty at&nbsp;<a href="mailto:studieinfo@mn.uio.no">studieinfo@mn.uio.no</a>&nbsp;TODAY (Friday 7 January).</p>

<p>Best,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-3 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/solution-to-the-exam.html">Solution to the exam (UPDATED)</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
15. des. 2021 15:24            </div>


            <div class="description introduction">
                <p>Dear all,</p>

<p>I have uploaded today's <a href="/studier/emner/matnat/math/MAT3110/oppgaver/mat3110_2021.pdf">exam</a> and a <a href="/studier/emner/matnat/math/MAT3110/oppgaver/mat3110_2021_solution.pdf">suggested solution</a>. We will finish corrections in about 3 weeks.</p>

<p><em>Update: There was a mistake in x_1 in the solution to problem 5, which I have corrected now. Moreover, I seem to have made a mistake during the lecture on&nbsp;the error estimate for the fixed point iteration: the power k+1 should have been k. I will take this into account when correcting.</em></p>

<p>I hope you have enjoyed the course. Happy holidays!</p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-4 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/exam-important-info-exercise-1b.html">Exam. Important info exercise 1b</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
15. des. 2021 09:34            </div>


            <div class="description introduction">
                <p>In exercise 1b, it should read "Ax = c", and not "Bx = c"</p>

<p>&nbsp;</p>

<p>Regards the MN- faculty</p>

            </div>
        </div>



              <div class="vrtx-result-5 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/lecturers-round-during-the-exam.html">Lecturer&#39;s round during the exam</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
7. des. 2021 14:51            </div>


            <div class="description introduction">
                <p>Dear all,</p>

<p>In case you have questions during the exam, you can log in to the "MAT3110/MAT4110 Lecturer's round" Zoom meeting which is found on Canvas. The meeting is open from 10:00–11:00 on the day of the exam. If you have questions outside of this time period, please feel free to send me an e-mail.</p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-6 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/office-hours-postponed.html">Office hours postponed (UPDATED)</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
6. des. 2021 09:15            </div>


            <div class="description introduction">
                <p>Today's office hours is postponed until Wednesday 14:00–15:00. You can come to my office or log in to the Zoom meeting which you will find in Canvas.</p>

<p><em>Update: Today's office hours will be fully digital.</em></p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-7 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/important-information-to-students-with-a.html">Important information to students with a digital home exam at the Department of Mathematics autumn 2021</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
29. nov. 2021 11:45            </div>


            <div class="description introduction">
                <p>In general,&nbsp;the following guidelines apply in courses at the Department of Mathematics:&nbsp;<br/> - The examination lasts 4 hours. In&nbsp;addition,&nbsp;you will have an extra&nbsp;30 minutes&nbsp;to scan and upload&nbsp;your PDF.&nbsp;<br/> - All examination aids are allowed (e.g.&nbsp;books, online resources, scientific programming tools, etc.).&nbsp;<br/> - It is not allowed to&nbsp;collaborate&nbsp;or communicate with others&nbsp;during the exam about the assignments.&nbsp;</p><p>- You can be picked out for a meeting to check that you understand the content of your examination attempt. The meeting will not affect your grade, but&nbsp;it&nbsp;can result in a formal investigation into possible cheating. Read more about what is considered cheating on the&nbsp;UiO&nbsp;web pages:?/english/about/regulations/studies/studies-examinations/routines-cheating.html&nbsp;<br/> - The general guidelines for exams at the MN-Faculty&nbsp;autumn&nbsp;2021&nbs...</p>
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                    <a href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/important-information-to-students-with-a.html" class="more">
Les mer ...                    </a>
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        </div>



              <div class="vrtx-result-8 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/updated-curriculum.html">Updated curriculum</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
29. nov. 2021 11:19            </div>


            <div class="description introduction">
                <p>Dear all,</p>

<p>I have updated <a href="/studier/emner/matnat/math/MAT3110/h21/curriculum.html">the curriculum</a>&nbsp;with a list of subjects that you need to know for the exam.</p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-9 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/office-hours-before-the-exam.html">Office hours before the exam</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
22. nov. 2021 11:43            </div>


            <div class="description introduction">
                <p>Dear all,</p>

<p>As mentioned in today's lecture, I will be available for questions in my office (room 1017 in Niels Henrik Abels hus) on Mondays from 10:15–11:00 (or as long as there are questions), every Monday until 13 December.</p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-10 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/solution-to-oblig-2.html">Solution to oblig 2</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
15. nov. 2021 09:40            </div>


            <div class="description introduction">
                <p>I have uploaded a solution to oblig 2. You can find it in the schedule.</p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-11 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/mandatory-assignment-2.html">Mandatory assignment 2</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
1. nov. 2021 09:27            </div>


            <div class="description introduction">
                <p>Dear all,</p>

<p>Magnus has now corrected oblig 2. If you failed, but were given a new attempt, then you have been given a new assignment in Canvas.&nbsp;<em>Please get in touch as soon as possible if you have not received a new assignment!</em></p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-12 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/solution-to-oblig-1-published.html">Solution to oblig 1 published</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
28. okt. 2021 11:49            </div>


            <div class="description introduction">
                <p>A solution to oblig 1 can be found here.</p>

<p>Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-13 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/hint-to-problem-3a.html">Hint to problem 3a</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
19. okt. 2021 09:59            </div>


            <div class="description introduction">
                <p>Implementing the summation over <em>d</em>&nbsp;indices in the composite midpoint method&nbsp;can be tricky. <a href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/compositehint.m">Here</a> is a code snipped (in Matlab) which solves this problem.&nbsp;<em>If you choose to use this code, make sure that you understand it fully!</em></p>

            </div>
        </div>



              <div class="vrtx-result-14 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/oblig-1-and-2.html">Oblig 1 and 2</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
14. okt. 2021 11:07            </div>


            <div class="description introduction">
                <p>Dear all,</p>

<p>Those of you who did not get oblig 1 approved, but have been given a new attempt, must resubmit the assignment in Canvas before Thursday 21 October at 14:30.</p>

<p>Oblig 2 has now been published on Canvas. The deadline is 28 October at 14:30.</p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-15 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/several-messages-2.html">Several messages</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
28. sep. 2021 15:25            </div>


            <div class="description introduction">
                <p>Dear all,</p>

<ul>
	<li>I will be meeting the student representatives later this week. Please <a href="/studier/emner/matnat/math/MAT3110/h21/student-representatives.html">get in touch with them</a> if you have any complaints, suggestions or feedback about the course.</li>
	<li>I will be away next week (4–8 October), and Magnus will lecture for me on Monday and Tuesday. He will lecture on the blackboard, so there will be no Zoom broadcast or recording that week.</li>
	<li>Don't forget the deadline for the first mandatory assignment on Thursday 30 September.</li>
</ul>

<p>See you in two weeks!</p>

<p>Ulrik</p>

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              <div class="vrtx-result-16 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/two-small-errors-in-oblig-1.html">Two small errors in Oblig 1</a>
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Publisert              </span>
19. sep. 2021 07:51            </div>


            <div class="description introduction">
                <p>There were a couple of errors in Oblig 1. I have updated the PDF, specifying that the norms of xi and h on page 1 are the 2-norms (all norms in this problem set are the 2-norm), and that problem 6b should refer to (7) and not (6).</p>

<p>Best regards,<br/>
Ulrik</p>

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              <div class="vrtx-result-17 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/mandatory-assignment-1.html">Mandatory assignment 1</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
16. sep. 2021 13:23            </div>


            <div class="description introduction">
                <p>Dear all,</p>

<p>The first mandatory assignment has now been published; you will find it on Canvas under "Assignments". The deadline is Thursday 30 September at 14:30.</p>

<p>Please feel free to ask me or Magnus if you have any questions.</p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
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              <div class="vrtx-result-18 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/weekly-exercises.html">Weekly exercises</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
31. aug. 2021 14:23            </div>


            <div class="description introduction">
                <p>Dear all,</p>

<p>You will find a set of weekly exercises under "Weekly exercises" page (under Resources on the semester home page). Please try to do as many exercises as you can. Magnus will assist you with the problems on Thursday's tutorial.</p>

<p>Best regards,<br/>
Ulrik</p>

            </div>
        </div>



              <div class="vrtx-result-19 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/several-messages.html">Several messages</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
23. aug. 2021 13:53            </div>


            <div class="description introduction">
                <p>Dear all,</p><p>Several messages:</p><ol><li>I will write a summary after each lecture, which you will find under Schedule. The first summary is now available.</li><li>As a test, I will broadcast tomorrow's lecture live on Zoom. You will find the Zoom link on <a href="https://uio.instructure.com/courses/33230/external_tools/673">Canvas</a>.</li><li>Regarding the rules about video recordings, I might have found a loophole. I will record tomorrow's lecture and publish it on Canvas. I cannot promise that I can continue this throughout the semester.</li><li>I have written a couple of exercises, available under "Weekly exercises" on the semester page. This list will be updated through the semester!</li></ol><p>Best regards,<br/>Ulrik</p>
            </div>
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              <div class="vrtx-result-20 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT3110/h21/beskjeder/welcome-to-mat31104110.html">Welcome to MAT3110/4110!</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Publisert              </span>
17. aug. 2021 09:28            </div>


            <div class="description introduction">
                <p>Dear all,</p><p>Welcome to MAT3110/MAT4110 – Introduction to numerical analysis. The course will follow the book&nbsp;<em>An Introduction to Numerical Analysis</em>&nbsp;by Süli and Mayers (available in Akademika). I will be teaching in Norwegian, but will switch to English if a sufficiently large number of students prefer that.</p><p>I want to emphasise that this is a course on numerical&nbsp;<em>analysis</em>, not on numerical&nbsp;<em>methods</em>. We will of course study a large number of numerical methods, but the emphasis will lie on analysing these methods – convergence, accuracy, stability and so on – rather than just presenting a list of "numerical recipes". The prerequisites for the course is MAT1100, MAT1110 and MAT1120 (or equivalent), and you can expect to use theory and techniques from these courses heavily. If you need to refresh that theory, then now is the time.</p><p>Lectures will be held on campus, in auditorium 2 in Vilh...</p>
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