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                    MAT4400 - Spring 2022
                  
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        <h1>Messages
          
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              <div class="vrtx-result-1 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/the-exam.html">The exam</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
May 31, 2022 7:29 PM            </div>


            <div class="description introduction">
                <p>Here is tonight's <a href="/studier/emner/matnat/math/MAT4400/data/mat3400-4400-exam2022.pdf">exam</a> and my solution. Let me <a href="mailto:obrevig@math.uio.no?subject=MAT3400%2F4400%3A%20You%20made%20a%20horrible%20mistake">know</a> if something is unclear or (!) wrong.</p>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-2 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/exam-digital-lecturers-round.html">Exam: Digital lecturer&#39;s round</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
May 25, 2022 7:19 AM            </div>


            <div class="description introduction">
                <p>On the upcoming <a href="/studier/emner/matnat/math/MAT4400/v22/eksamen/index.html">exam</a>&nbsp;I will be available on <a href="https://uio.zoom.us/j/69197800453?pwd=UWRYVVZoV0FMYmtobDcxbDQ5VExiZz09">Zoom</a>&nbsp;from 1530 to 1830. Note that the waiting room feature will be used, so you may not get through immediately. Contact me by <a href="mailto:obrevig@math.uio.no?subject=MAT3400%2F4400%3A%20Zoom%20link%20does%20not%20work">email</a> if you have trouble with the link during the exam.</p>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-3 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/important-information-to-students-with-a.html">Important information to students with a digital home exam at the Department of Mathematics spring 2022</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
May 20, 2022 11:34 AM            </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:<a href="/english/studies/examinations/cheating/index.html">?/english/studies/examinations/cheating/index.html</a></p><p>- The general guid...</p>
                  <div class="vrtx-read-more">
                    <a href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/important-information-to-students-with-a.html" class="more">
Read more ...                    </a>
                  </div>
            </div>
        </div>



              <div class="vrtx-result-4 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/exam-information.html">Exam information</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
May 16, 2022 12:00 PM            </div>


            <div class="description introduction">
                <ul>
	<li>The exam set will be comprised of six problems with a total of ten subproblems. All subproblems count 10% towards the final grade.</li>
	<li>In at least one subproblem you may find material from&nbsp;<a href="/studier/emner/matnat/math/MAT4400/v22/amolm/amolm.pdf"><em>AMoLM</em></a>&nbsp;useful. The final curriculum is <a href="/studier/emner/matnat/math/MAT4400/v22/mat3400-4400-curriculum.pdf">here</a>.</li>
	<li>I will be available on Zoom for most of the exam. The link will be the same as the one used throughout the course and will also be reposted on the course page.</li>
	<li>The slides from my review lectures are here: 1, 2, 3, 4.</li>
	<li>Information on which old exam problems that are still relevant is&nbsp;here. Note that the exam from 2020 had a duration for one week, so it is slightly less relevant.</li>
</ul>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-5 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/repetition.html">Repetition</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
May 5, 2022 12:39 PM            </div>


            <div class="description introduction">
                <p>The repetition lectures on May 10, 16, 23 and 24 will be organized as follows.</p>

<ul>
	<li>Each lecture covers roughly 25% of the curriculum, in chronological order.</li>
	<li>The first part of the lecture will be a presentation of some important concepts and results from this part of the course. Also included is a discussion of some pertinent problem solving techniques.</li>
	<li>In the second part of the lecture will be devoted to one or two related old exam problems. I will only briefly discuss the problems and you will be given time to work on independently while I answer questions.&nbsp;</li>
	<li>If you want, you can hand in your solution to me (either at the end of the lecture or by email later in the day) and I will grade it before the next lecture.</li>
</ul>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-6 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/updated-schedule-and-final-curriculum.html">Updated schedule and final curriculum</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Apr. 21, 2022 8:40 AM            </div>


            <div class="description introduction">
                <p>I have updated the&nbsp;schedule&nbsp;with a plan for the remainder of the term. On Monday, 9 May I will present some of my recent research on <a href="https://arxiv.org/abs/2202.11373">Hilbert</a> <a href="https://arxiv.org/abs/2106.07532">points</a>.&nbsp;The <a href="/studier/emner/matnat/math/MAT4400/v22/mat3400-4400-curriculum.pdf">final curriculum</a> is also ready.&nbsp;</p>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-7 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/lecture-25-and-beyond.html">Lecture 25 and beyond</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Apr. 17, 2022 10:08 AM            </div>


            <div class="description introduction">
                <p>The first lecture after Easter is on Tuesday, 19 April. We will finish&nbsp;<em>ELA&nbsp;</em>Section 2.2.</p>

<p>I have looked at the remaining material we need to cover and there is some flexibility in the schedule. During Lecture 25 we will also discuss how to deal with this.&nbsp;</p>

<ul>
	<li>In what depth should we cover&nbsp;<em>ELA&nbsp;</em>Chapter 5?</li>
	<li>Do you want me to tell you about my research?</li>
	<li>Should we allocate more time for repetition and/or other exam preparation?</li>
</ul>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-8 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/week-14-exercise-session.html">Week 14: Exercise session</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Apr. 7, 2022 9:02 PM            </div>


            <div class="description introduction">
                <p>The exercise session tomorrow will be physical, but truncated. I will arrive early at 1200 and leave very early at 1245. I am available in my office earlier in the day.</p>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-9 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/week-14.html">Week 14</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Apr. 3, 2022 8:34 AM            </div>


            <div class="description introduction">
                <p>I remain sick. The physical lectures on Monday 4 April and Tuesday 5 April will be replaced by <a href="/studier/emner/matnat/math/MAT4400/v22/lectures.html">video lectures</a>. There will also be a short Zoom lecture on Tuesday 14:15–15:00, where I will try to set out our goals for Chapter 4 in&nbsp;<em>ELA</em>.</p>

<p>Should I not recover in time for the exercise session on Friday 8 April it will be moved to Zoom. This potential change will be announced on Thursday (in the schedule).&nbsp;</p>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-10 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/week-13.html">Week 13</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Mar. 26, 2022 12:50 PM            </div>


            <div class="description introduction">
                <p>I am sick. The physical lectures on Monday 28 March and Tuesday 29 March will be replaced by <a href="/studier/emner/matnat/math/MAT4400/v22/lectures.html">video lectures</a>. The lecture notes for the physical lectures I intended to give will also be made available in the schedule.</p>

<p>Should I not recover in time for the exercise session on Friday 1 April it will be moved to Zoom. This potential change will be announced on Thursday (in the schedule).&nbsp;</p>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-11 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/mandatory-assignment-solutions.html">Mandatory assignment solutions</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Mar. 14, 2022 2:40 PM            </div>


            <div class="description introduction">
                <p>Here are our suggested solutions to the mandatory assignment. Please let me know is something is unclear or (!) wrong.</p>

<p>For some of the problems there are alternative solutions. Some of these are more elegant than what we have suggested.</p>

<p>Two small comments:</p>

<ul>
	<li>In Problem 1 (e) we expected you to prove by combinatorial reasoning that there are 52 partitions of Z and not simply refer to the OEIS. We took points away if you omitted this, but only if you were still passing the assignment.</li>
	<li>Problem 2 (a) was slightly more finicky than we expected, but the technical details are not insurmountable.</li>
</ul>

<p>I am generally impressed with what many of you have performed.</p>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-12 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/supplementary-material-week-10.html">Supplementary material week 10</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Mar. 7, 2022 9:01 AM            </div>


            <div class="description introduction">
                <p>We will cover&nbsp;<em>ELA&nbsp;</em>Chapter 2 in the lectures of week 10. There are also two sources of supplementary material:</p>

<ul>
	<li>The material in Lecture 15 is for the most part also covered in&nbsp;<em>Spaces&nbsp;</em>Section 7.7.</li>
	<li>The material in Lecture 15 and Lecture 16 is (with one notable exception) covered by the&nbsp;<a href="/studier/emner/matnat/math/MAT4400/v22/lectures.html">videos</a> from 2021.</li>
</ul>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-13 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/mandatory-assignment-sessions.html">Mandatory assignment sessions</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Feb. 23, 2022 1:13 PM            </div>


            <div class="description introduction">
                <p>If you want to discuss your mandatory assignment with me, I will be available</p>

<ul>
	<li>Thursday, 3 March 1030–1200 in NHA 808 (my office),</li>
	<li>Monday, 7 March 1230–1400 in VB Auditorium 2.</li>
</ul>

<p>In addition, it is possible to get some help in the exercise sessions on Fridays. If you cannot make it to any of these sessions, please contact me by <a href="mailto:obrevig@math.uio.no?subject=MAT3400%2F4400%3A%20Mandatory%20assignment">email</a>.</p>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-14 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/what-else-is-new.html">What else is new?</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Feb. 21, 2022 1:49 PM            </div>


            <div class="description introduction">
                <ul>
	<li>The exam form has been <a href="/studier/emner/matnat/math/MAT4400/v22/eksamen/index.html">changed</a> from physical exam in Silurveien to a digital home exam.</li>
	<li>As a partial replacement for Padlet, we have activated the anonymous discussion feature in <a href="http://canvas.uio.no">Canvas</a>. Gaute and I will try to check the questions somewhat regularly.</li>
	<li>I have uploaded the LaTeX&nbsp;source for the mandatory assignment.</li>
</ul>

<p>Ole</p>

            </div>
        </div>



              <div class="vrtx-result-15 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/mandatory-assignment.html">Mandatory assignment</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Feb. 10, 2022 9:29 AM            </div>


            <div class="description introduction">
                <p>The <a href="/studier/emner/matnat/math/MAT4400/v22/mandatory-assignment.html">mandatory assignment</a> is ready. Please <a href="mailto:obrevig@math.uio.no?subject=MAT3400%2F4400%3A%20Mandatory%20assignment">contact</a> me if something is unclear or (!) wrong.</p>

<p>Ole&nbsp;</p>

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              <div class="vrtx-result-16 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/exercise-session-on-friday-is-in-room-10.html">Exercise session on Friday is in Room 107 NHA</a>
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Published              </span>
Feb. 1, 2022 2:41 PM            </div>


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                <p>Due to a fire in Vilhelm Bjerknes hus last week the exercise session on Friday will be held in room 107 in Niels Henrik Abels Hus.</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/MAT4400/v22/beskjeder/exercise-sessions-are-now-physical.html">Exercise sessions are now physical</a>
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Published              </span>
Jan. 28, 2022 2:24 PM            </div>


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                <p>Starting from next week, the exercise sessions will be physical. Should they return to digital again, this will be announced.</p>

<p>Gaute</p>

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            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/some-updates.html">Some updates</a>
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Published              </span>
Jan. 24, 2022 3:55 PM            </div>


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                <ul>
	<li>The full <a href="/studier/emner/matnat/math/MAT4400/v22/syllabus.html">syllabus</a> is uploaded.</li>
	<li>I have typed up all the theorems appearing in the first ten video lectures.</li>
	<li>We now have a <a href="/studier/emner/matnat/math/MAT4400/v22/student-representatives.html">student representative</a> (with room for one more).</li>
	<li>There are <a href="/english/studies/examinations/compulsory-activities/mn-math-mandatory.html">new&nbsp;regulations</a> for mandatory assignments. The main change is that you now only have <strong>one</strong><strong>&nbsp;attempt&nbsp;</strong>to pass it. In compensation, I aim&nbsp;to&nbsp;offer personal feedback on your mandatory assignment before you hand it. More information on how this will be organized later.</li>
</ul>

<p>Ole</p>

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              <div class="vrtx-result-19 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4400/v22/beskjeder/welcome-to-mat34004400.html">Welcome to MAT3400/4400!</a>
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Published              </span>
Jan. 10, 2022 2:15 PM            </div>


            <div class="description introduction">
                <p>We begin with some bad news.</p><ol><li>Due to the pandemic, the department has decided on digital teaching in January. This pertains only to the first two weeks of teaching, but it is impossible to predict what will happen thereafter. In the interest of predictability, we have decided on digital teaching for (at least) the first five weeks.&nbsp;</li><li>Padlet is now&nbsp;(!) illegal. We are currently looking into options which will not result in hefty fines and/or jail time.&nbsp;</li></ol><p>For weeks 3–7, the teaching will be organized as follows.</p><ul><li>The main presentation of the material is a <a href="/studier/emner/matnat/math/MAT4400/v22/lectures.html">video series</a>.</li><li>On Tuesdays 14:15–16:00, there will be a short review lecture on that weeks material on Zoom. These lectures will be&nbsp;based on the assumption&nbsp;that you have worked through the videos in advance.&nbsp;There will be ample time for que...</li></ul>
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