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                    MAT4510 - Autumn 2021
                  
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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/MAT4510/h21/beskjeder/place-of-exam.html">Place of exam</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Dec. 7, 2021 2:50 PM            </div>


            <div class="description introduction">
                <p>The exam will take place in NHA 1119 on both the 13th and 14th December.</p>

            </div>
        </div>



              <div class="vrtx-result-2 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/exam-schedule.html">Exam schedule</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Dec. 7, 2021 11:32 AM            </div>


            <div class="description introduction">
                <p>To view the schedule, log into Canvas and select "Home" in the left menu. Click on the announcement on top of the page.</p>

            </div>
        </div>



              <div class="vrtx-result-3 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/keywords.html">Keywords</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Dec. 1, 2021 3:14 PM            </div>


            <div class="description introduction">
                <p>Here are some <a href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/keywords.pdf">keywords</a> to help you prepare for the exam.</p>

            </div>
        </div>



              <div class="vrtx-result-4 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/final-version-of-lecture-notes.html">Final version of lecture notes</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 29, 2021 10:44 AM            </div>


            <div class="description introduction">
                <p>In this <a href="/studier/emner/matnat/math/MAT4510/h21/mfld.pdf">final version</a> I have just added one page on geodesics.</p>

            </div>
        </div>



              <div class="vrtx-result-5 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/syllabus.html">Syllabus</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 29, 2021 9:57 AM            </div>


            <div class="description introduction">
                <p>From the textbook "Geometric Structures in Dimension two":</p>

<p style="margin-left: 40px;">Chapter 1</p>

<p style="margin-left: 40px;">Chapter 2 except Appendix</p>

<p style="margin-left: 40px;">Sections 5.1 - 5.5</p>

<p style="margin-left: 40px;">From Section 5.6: pages 137-140.</p>

<p>The lecture notes <a href="/studier/emner/matnat/math/MAT4510/h21/mfld.pdf">Submanifolds of R^n</a>.</p>

            </div>
        </div>



              <div class="vrtx-result-6 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/updates-lecture-notes.html">Updates lecture notes</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 26, 2021 3:51 PM            </div>


            <div class="description introduction">
                <p>In this version of the <a href="/studier/emner/matnat/math/MAT4510/h21/mfld.pdf">notes</a> I have added material on Gauss curvature and covariant derivatives. In Section 4 I have added the definition of orthonormal frame and changed notation for partial derivatives.</p>

            </div>
        </div>



              <div class="vrtx-result-7 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/time-slots-for-oral-exam.html">Time slots for oral exam</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 23, 2021 3:45 PM            </div>


            <div class="description introduction">
                <p>At the final lecture on Friday, you will have the opportunity to choose time slots for the oral exam.</p>

            </div>
        </div>



              <div class="vrtx-result-8 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/updated-lecture-notes.html">Updated lecture notes</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 5, 2021 4:56 PM            </div>


            <div class="description introduction">
                <p>In these <a href="/studier/emner/matnat/math/MAT4510/h21/mfld.pdf">updated notes</a> I have added sections on vector fields and orientations. I have not made any changes to the previously posted material.</p>

            </div>
        </div>



              <div class="vrtx-result-9 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/lecture-notes-on-submanifolds.html">Lecture notes on submanifolds</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Nov. 1, 2021 9:38 AM            </div>


            <div class="description introduction">
                <p>Here are the <a href="/studier/emner/matnat/math/MAT4510/h21/mfld.pdf">notes</a>.</p>

            </div>
        </div>



              <div class="vrtx-result-10 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/oral-exam-2.html">Oral exam</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 29, 2021 1:14 PM            </div>


            <div class="description introduction">
                <p>The oral exam will be held on 13 - 14 December.</p>

            </div>
        </div>



              <div class="vrtx-result-11 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/course-evaluation.html">Course evaluation</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 27, 2021 11:20 AM            </div>


            <div class="description introduction">
                <p>All students in the course are invited to participate in the <a href="https://nettskjema.no/a/227298">course evaluation.</a> The deadline is Wednesday the 3rd November.</p>

            </div>
        </div>



              <div class="vrtx-result-12 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/notes-from-zoomlecture-.html">Notes from zoom-lecture </a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 26, 2021 2:52 PM            </div>


            <div class="description introduction">
                <p>Here are the <a href="/studier/emner/matnat/math/MAT4510/h21/timeplan/forelesning-26-10.pdf">iPad-notes</a> from the lecture.</p>

            </div>
        </div>



              <div class="vrtx-result-13 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/zom-link-for-the-lecture-on-tuesday-the-.html">Zom link for the lecture on Tuesday the 26th October</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 26, 2021 11:09 AM            </div>


            <div class="description introduction">
                <p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">As Zoom is currently not available in Canvas, here is a direct link:</p><p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&nbsp;</p><p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;"><a href="https://uio.zoom.us/j/64408142028?pwd=MHYvZWZxOENZd2ZOZENPOWtzM21pZz09">https://uio.zoom.us/j/64408142028?pwd=MHYvZWZxOENZd2ZOZENPOWtzM21pZz09</a></p><p style="-qt-paragraph-type:empty; margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&nbsp;</p><p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">Meeting ID: 644 0814 2028</p>...
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Read more ...                    </a>
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              <div class="vrtx-result-14 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/dates-for-the-oral-exam.html">Dates for the oral exam</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 25, 2021 2:46 PM            </div>


            <div class="description introduction">
                <p>In the beginning of the lecture tomorrow Tuesday, we will discuss possible dates for the oral exam.</p>

            </div>
        </div>



              <div class="vrtx-result-15 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/zoom-lecture-on-tuesday-26th-october.html">Zoom lecture on Tuesday, 26th October</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 25, 2021 2:37 PM            </div>


            <div class="description introduction">
                <p>As I still have not completely recovered from my cold, the lecture tomorrow will be held on Zoom. To attend the lecture, please log into Canvas and select "Zoom" in the left panel. You will be able to log in from about 10min before the lecture begins.</p>

            </div>
        </div>



              <div class="vrtx-result-16 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/no-lecture-on-friday-october-22.html">No lecture on Friday, October 22</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Oct. 22, 2021 8:24 AM            </div>


            <div class="description introduction">
                <p>There will be no lecture today because I have a cold.</p>

            </div>
        </div>



              <div class="vrtx-result-17 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/assignment.html">Assignment</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 30, 2021 12:14 PM            </div>


            <div class="description introduction">
                <p>Here is the <a href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/oblig.pdf">assignment</a>.&nbsp; The solutions should be returned through Canvas no later than the 14th October at 14:30.</p>

            </div>
        </div>



              <div class="vrtx-result-18 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/student-representative.html">Student representative</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 21, 2021 2:32 PM            </div>


            <div class="description introduction">
                <p>The student representative in this course is Nicolas Triantafilidis.</p>

<p>His email address is nicolatr{x}math{y}uio{z}no, where x = @, y=z=.</p>

            </div>
        </div>



              <div class="vrtx-result-19 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/oral-exam.html">Oral exam</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 21, 2021 2:23 PM            </div>


            <div class="description introduction">
                <p>The final exam will be oral.</p>

            </div>
        </div>



              <div class="vrtx-result-20 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/assignment-dates.html">Assignment dates</a>
          </div>

            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Sep. 5, 2021 4:54 PM            </div>


            <div class="description introduction">
                <p>The assignment problems will be posted no later than the 30th September.&nbsp; The solutions should be returned through Canvas by the 14th October.</p>

            </div>
        </div>



              <div class="vrtx-result-21 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/course-book.html">Course book</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Aug. 18, 2021 4:40 PM            </div>


            <div class="description introduction">
                <p>Welcome to the course Geometric Structures!</p>

<p>We will use the&nbsp;<a href="/studier/emner/matnat/math/MAT4510/h21/beskjeder/geometric-structures.pdf">book</a> by Bj?rn Jahren.</p>

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