https://www.wikicshse.ru/index.php?action=history&feed=atom&title=Calculus-2_2023%2F24 Calculus-2 2023/24 - История изменений 2026-06-06T12:14:09Z История изменений этой страницы в вики MediaWiki 1.45.3 https://www.wikicshse.ru/index.php?title=Calculus-2_2023/24&diff=95&oldid=prev imported>Mazhuga.A.M.: /* Results */ 2024-09-02T22:55:21Z <p><span class="autocomment">Results</span></p> <p><b>Новая страница</b></p><div>== Teachers and Assistants ==<br /> {| class=&quot;wikitable&quot; style=&quot;text-align:center&quot;<br /> |-<br /> ! Group !! 221 (M+P+) !! 222 !! 223 !! 224 <br /> |-<br /> || Lecturer ||colspan=&quot;4&quot;| [https://www.hse.ru/org/persons/224875083 Andrey Mazhuga]<br /> |- <br /> || Teacher || [https://www.hse.ru/org/persons/224875083 Andrey Mazhuga] || [https://www.hse.ru/org/persons/225584739 Корней Томащук] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Корней Томащук] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/25910956 Павел Жуков] ([https://t.me/Pavel_Zhukof tg])<br /> |- <br /> || Consultations || Sat, 17:00 -- 21:00, via Zoom &lt;br&gt;&lt;span style=&quot;color:#DC143C&quot;&gt;One must notify me beforehand&lt;/span&gt; || || || <br /> |-<br /> || Assistant || Алмасбек Стамбеков &lt;br&gt; ([https://t.me/KingOfTheFlies tg])<br /> || Елизавета Аникина &lt;br&gt; ([https://t.me/lizokkolobok25 tg])<br /> || Елизавета Аникина &lt;br&gt; ([https://t.me/lizokkolobok25 tg])<br /> || Тимур Нигматзянов &lt;br&gt; ([https://t.me/chakchak77 tg])<br /> |- &lt;!--<br /> || Course &lt;br&gt; Assistant ||colspan=&quot;4&quot;| Белоновский Пётр &lt;br&gt; pibelonovskiy@edu.hse.ru <br /> |- --&gt;<br /> |}<br /> <br /> == Course Description ==<br /> This page contains basic information for the course Calculus-2 in 2023/2024 academic year at Bachelor’s Programme &#039;HSE and University of London Double Degree Programme in Data Science and Business Analytics&#039; (DSBA).<br /> <br /> == Grading system == <br /> <br /> &lt;div class=&quot;mw-collapsible&quot;&gt;<br /> <br /> During the course, the student will be formally graded on the following:<br /> *one in-class oral test (&#039;&#039;&#039;O&#039;&#039;&#039;);<br /> *one in-class written test (= midterm test) (&#039;&#039;&#039;W&#039;&#039;&#039;);<br /> *several quizzes (&#039;&#039;&#039;Q&#039;&#039;&#039;, where &#039;&#039;&#039;Q&#039;&#039;&#039; is the average grade of all the quizzes in the course);<br /> *several homework assignments (&#039;&#039;&#039;H&#039;&#039;&#039;, where &#039;&#039;&#039;H&#039;&#039;&#039; is the average grade of all the homework assignments in the course);<br /> *one written exam (&#039;&#039;&#039;E&#039;&#039;&#039;).<br /> <br /> All grades (namely, &#039;&#039;&#039;O&#039;&#039;&#039;, &#039;&#039;&#039;W&#039;&#039;&#039;, &#039;&#039;&#039;Q&#039;&#039;&#039;, &#039;&#039;&#039;H&#039;&#039;&#039;, and &#039;&#039;&#039;E&#039;&#039;&#039;) are real numbers from 0 to 10.<br /> <br /> &#039;&#039;&#039;&lt;span style=&quot;color:#228B22&quot;&gt;The cumulative grade&lt;/span&gt;&#039;&#039;&#039;, &#039;&#039;&#039;C&#039;&#039;&#039;, is obtained &#039;&#039;&#039;without rounding&#039;&#039;&#039; by the following formula:<br /> <br /> &#039;&#039;&#039;C = 4/17*H + 4/17*Q + 4/17*W + 5/17*O.&#039;&#039;&#039;<br /> <br /> &#039;&#039;&#039;&lt;span style=&quot;color:#DC143C&quot;&gt;The final grade for the course&lt;/span&gt;&#039;&#039;&#039;, &#039;&#039;&#039;F&#039;&#039;&#039;, is obtained by the following formula:<br /> <br /> &#039;&#039;&#039;F = Round(7/10*C + 3/10*E).&#039;&#039;&#039;<br /> <br /> where the function Round(x) is defined as follows: if the decimal part of x is less than 0.2, the grade is rounded downwards; if the decimal part of x is greater than 0.7, the grade is rounded upwards; if the decimal part of x is from the interval [0.2;0.7] and the student&#039;s seminar attendance during the first semester is not below 66%, the grade is rounded upwards; otherwise the grade is rounded downwards.<br /> <br /> &lt;/div&gt;<br /> <br /> == Lecture Notes ==<br /> &#039;&#039;&#039; &lt;span style=&quot;color:#DC143C&quot;&gt;If you notice an error or do not understand something, please describe it in the [https://docs.google.com/spreadsheets/d/1MObdMXWccc98bIEJf17jLzd4FcADOXdShz2uVOz1wsY/edit?hl=ru#gid=0 &#039;&#039;&#039;Bugs Table.&#039;&#039;&#039;]&lt;/span&gt; &lt;span style=&quot;color:#DC143C&quot;&gt;&lt;/span&gt;&#039;&#039;&#039;<br /> <br /> &#039;&#039;&#039; Module 2 &#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/zulvgcj3qsl822ju2ibf9/Calculus_2_Lecture_8.pdf?rlkey=sagkjdg5fczs3ihq9g1x048ur&amp;dl=0 &#039;&#039;&#039;Lecture 8&#039;&#039;&#039;] (01.11.2023) Analytic functions; differentiability classes; smooth functions; the Taylor series; the Taylor formula; criteria for analyticity; the Borel lemma; some pathological examples of smooth functions.<br /> <br /> &#039;&#039;&#039; Module 1 &#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/8qx6y7263t97lpdrykidd/Calculus_2_Lecture_7.pdf?rlkey=e4vofnajrpecdd5uc21fhfhs9&amp;dl=0 &#039;&#039;&#039;Lecture 7&#039;&#039;&#039;] (18.10.2023) Power series; the radius and the interval of convergence of a power series; the Cauchy-Hadamard Formula; theorem on the uniform convergence of power series; theorem on derivative of power series; theorem on analyticity of power series; theorem on antiderivative of power series; theorem on equality of power series; the Abel theorem on the Cauchy product (proof).<br /> <br /> * [https://www.dropbox.com/scl/fi/h529pu8qfus8doc8flw0b/Calculus_2_Lecture_6.pdf?rlkey=b08lx7c7dvjpvzxeh680ynk03&amp;st=wi1fdyto&amp;dl=0 &#039;&#039;&#039;Lecture 6&#039;&#039;&#039;] (11.10.2023) Theorem on changing the order of two limits; theorem on continuity of a limit function; theorem on Riemann integrability of a limit function; theorem on integration of a uniformly convergent sequence; theorem on differentiability of a limit function; theorem on continuity of a series; theorem on term-by-term integration of a uniformly convergent series; theorem on term-by-term differentiation of a series; the Stone-Weierstrass theorem (without a proof).<br /> <br /> * [https://www.dropbox.com/scl/fi/3pkd7tu6yqzo6iu14973u/Calculus_2_Lecture_5.pdf?rlkey=fgmy2lcrpqui8pr2ybjok09ku&amp;dl=0 &#039;&#039;&#039;Lecture 5&#039;&#039;&#039;] (04.10.2023) Functional sequences and series; poinwise convergence; uniform convergence; the Cauchy criterion for the uniform convegrence; the negation of the Cauchy criterion for the uniform convegrence; the nevessary condition for the uniform convergence; the Weierstrass M-test; the Dirichlet test for the uniform convergence; the Abel test for the uniform convergence.<br /> <br /> * [https://www.dropbox.com/scl/fi/a6quigky0ww3xr4r8c1of/Calculus_2_Lecture_4.pdf?rlkey=lcs9y3qydkcnk9u9qv0up0d6e&amp;dl=0 &#039;&#039;&#039;Lecture 4&#039;&#039;&#039;] (27.09.2023) Product of series; the Mertens theorem; the Abel theorem on the Cauchy product; the Abel theorem on series products; the Wallis formula; the Stirling formula; the Robbins formula.<br /> <br /> * [https://www.dropbox.com/scl/fi/x9srwlnecmcdbklaidlk7/Calculus_2_Lecture_3.pdf?rlkey=7kr1iyzw8ftm8lryralc5y5mn&amp;dl=0 &#039;&#039;&#039;Lecture 3&#039;&#039;&#039;] (20.09.2023) The Abel transformation; the Dirichlet test; the Abel test; the Leibniz test; sine and cosine sums; absolutely and conditionally convergent series; alternating p-series; the Cauchy rearrangement theorem; the Riemann rearrangement theorem.<br /> <br /> * [https://www.dropbox.com/scl/fi/pn5upm5x6khbs7s3a565e/Calculus_2_Lecture_2.pdf?rlkey=am9cqmo0m1mk40gxo00kycumz&amp;dl=0 &#039;&#039;&#039;Lecture 2&#039;&#039;&#039;] (13.09.2023) Series with non-negative terms; the Cauchy Condensation test; the first comparison test; the second comparison test; p-series convergence; the integral test; the root test; the ration test; the Kummer test; the Bertrand test; the Gauss test.<br /> <br /> * [https://www.dropbox.com/scl/fi/4sp8sbruiowo9t1fjpeah/Calculus_2_Lecture_1.pdf?rlkey=9o9pg6ksix7xohp2wn8fhpyts&amp;dl=0 &#039;&#039;&#039;Lecture 1&#039;&#039;&#039;] (06.09.2023) Series; convergence and divergence; Cauchy&#039;s criterion and its negation; necessary condidion for convergence; the tale (= remainder) of a series; linear combination of series; grouping theorem.<br /> <br /> == Seminar Notes ==<br /> <br /> === Group 221: ===<br /> <br /> &#039;&#039;&#039; Module 2 &#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/c3ip2bmyx2iqrgrxkof02/Calculus_2_Seminar_8.pdf?rlkey=gcpx41p1sx40ose3goyg9xekl&amp;dl=0 &#039;&#039;&#039;Seminar 8&#039;&#039;&#039;] (03.11.23)<br /> <br /> &#039;&#039;&#039; Module 1 &#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/60sg2dz842xdmwxidug5x/Calculus_2_Seminar_7.pdf?rlkey=mwefwy349bvr864e5rrkdzng1&amp;dl=0 &#039;&#039;&#039;Seminar 7&#039;&#039;&#039;] (20.10.23)<br /> <br /> * [https://www.dropbox.com/scl/fi/jy8to35redpw26j620jc2/Calculus_2_Seminar_6.pdf?rlkey=qt991pcfmfsdedbhs6y1kezps&amp;dl=0 &#039;&#039;&#039;Seminar 6&#039;&#039;&#039;] (20.10.23)<br /> <br /> * [https://www.dropbox.com/scl/fi/i3qy7k8ueg7vjahrav3qb/Calculus_2_Seminar_5.pdf?rlkey=6u0gwc1x3y8bet62hmw0f0t9n&amp;dl=0 &#039;&#039;&#039;Seminar 5&#039;&#039;&#039;] (13.10.23)<br /> <br /> * [https://www.dropbox.com/scl/fi/pp35izxfrcub3wqcn05o5/Calculus_2_Seminar_4.pdf?rlkey=6765w81ya4cgwbh3gq9nc4xl5&amp;dl=0 &#039;&#039;&#039;Seminar 4&#039;&#039;&#039;] (06.10.23)<br /> <br /> * [https://www.dropbox.com/scl/fi/7e4g0s87d2145vw1dbg13/Calculus_2_Sem_3.pdf?rlkey=2yz5t1op25zocnbrpehgjrmgw&amp;dl=0 &#039;&#039;&#039;Seminar 3&#039;&#039;&#039;] (29.09.23)<br /> <br /> * [https://www.dropbox.com/scl/fi/woo21dyrhvhu45w4ycz95/Calculus_2_Sem_2.pdf?rlkey=8kcvzib7ujh0tcgnqg4d7vstr&amp;dl=0 &#039;&#039;&#039;Seminar 2&#039;&#039;&#039;] (22.09.23)<br /> <br /> * [https://www.dropbox.com/scl/fi/71xhdg4o2d1i4focjlpxg/Calculus_2_Sem_1.pdf?rlkey=yua3julsz1g085k449kjeikxz&amp;dl=0 &#039;&#039;&#039;Seminar 1&#039;&#039;&#039;] (15.09.23)<br /> <br /> === Groups 222, 223: ===<br /> <br /> <br /> &#039;&#039;&#039; Module 2 &#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/qsslo2fzycu0ass8i130h/S10.pdf?rlkey=j41kdtjuzvijtiuzdxxryzsdj&amp;dl=0 &#039;&#039;&#039;Seminar 10&#039;&#039;&#039;] (24.11.23)<br /> * [https://www.dropbox.com/scl/fi/27zpep5yvv0wglz6kx91j/S9.pdf?rlkey=dmhahfcpxm79oflamrdyqrt9n&amp;dl=0 &#039;&#039;&#039;Seminar 9&#039;&#039;&#039;] (17.11.23)<br /> * [https://www.dropbox.com/scl/fi/yq64sprdhopcin0au2mhi/S8.pdf?rlkey=8911qlf22pbufprszj5a8yxeo&amp;dl=0 &#039;&#039;&#039;Seminar 8&#039;&#039;&#039;] (10.11.23)<br /> * [https://www.dropbox.com/scl/fi/xqfgrkkldf2t2lmbjbu5f/S7.pdf?rlkey=2k6y1gy1umu4c67stzbi7zro8&amp;dl=0 &#039;&#039;&#039;Seminar 7&#039;&#039;&#039;] (03.11.23)<br /> <br /> &#039;&#039;&#039; Module 1 &#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/pyc3xgvnkyfiy9sd1qwb0/Seminar6.pdf?rlkey=zk2lb8n8dlyt6fvkjyk558bif&amp;dl=0 &#039;&#039;&#039;Seminar 6&#039;&#039;&#039;] (20.10.23)<br /> * [https://www.dropbox.com/scl/fi/s8cqbxjaqevh8bslu0vdr/Seminar5.pdf?rlkey=07nqqhkw6amxrph9wphcyuovr&amp;dl=0 &#039;&#039;&#039;Seminar 5&#039;&#039;&#039;] (13.10.23)<br /> * [https://www.dropbox.com/scl/fi/14e0i9q1vf4ijp9m3tp06/Seminar4.pdf?rlkey=5kz6jmniait1rwlu2ucgc0wm0&amp;dl=0 &#039;&#039;&#039;Seminar 4&#039;&#039;&#039;] (06.10.23)<br /> * [https://www.dropbox.com/scl/fi/raufzbhsr8resta9bed20/Seminar3.pdf?rlkey=w8p1up8wjgdgfn0chcfw3k5dh&amp;dl=0 &#039;&#039;&#039;Seminar 3&#039;&#039;&#039;] (29.09.23)<br /> * [https://www.dropbox.com/scl/fi/vmdsav2sjrr16nvbadj9t/Seminar2.pdf?rlkey=95t3vc4gcahiv5qmh0th4e6if&amp;dl=0 &#039;&#039;&#039;Seminar 2&#039;&#039;&#039;] (22.09.23)<br /> * [https://www.dropbox.com/scl/fi/rqtjkxjdtcxmf3fdwu3c3/S1.pdf?rlkey=908iruycxo11yfcnpq3h1gc4o&amp;dl=0 &#039;&#039;&#039;Seminar 1&#039;&#039;&#039;] (15.09.23)<br /> <br /> == Homework ==<br /> <br /> === The homework for group 221: ===<br /> <br /> &#039;&#039;&#039;Module 2&#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/rh8qawp72bfe14mrtf4j9/Calculus_2_HW_13_C-221.pdf?rlkey=q14ac4y4dnhp4gq6qv9iocd01&amp;dl=0 &#039;&#039;&#039;HW 13&#039;&#039;&#039;] (release: 10.12.23; deadline: 17.12.23 [23:59 MSK])<br /> * no HW 12 (since Oral Test)<br /> * [https://www.dropbox.com/scl/fi/a345qkddp77beuoejq76q/Calculus_2_HW_11_C-221.pdf?rlkey=5k1k1wljcaeyma9gooqmwe9dr&amp;dl=0 &#039;&#039;&#039;HW 11&#039;&#039;&#039;] (release: 27.11.23; deadline: 03.12.23 [23:59 MSK])<br /> * [https://www.dropbox.com/scl/fi/fzk5uf3bvxncuyez9bk7v/Calculus_2_HW_10_C-221.pdf?rlkey=qpps5pi1oe5dd5r65dmvohruy&amp;dl=0 &#039;&#039;&#039;HW 10&#039;&#039;&#039;] (release: 19.11.23; deadline: 26.11.23 [23:59 MSK]) &lt;small&gt;([https://www.dropbox.com/scl/fi/zljtqq5im6aj4a3wxvlzy/Calculus_II_Sem_10.pdf?rlkey=scon4zzu8qr3aqevr5uguy8jk&amp;dl=0 seminar notes])&lt;/small&gt;<br /> * [https://www.dropbox.com/scl/fi/gra5ty4lsnel2cykp942a/Calculus_2_HW_9_C-221.pdf?rlkey=7spwmljgxzitzbly7mg061xe6&amp;dl=0 &#039;&#039;&#039;HW 9&#039;&#039;&#039;] (release: 12.11.23; deadline: 19.11.23 [23:59 MSK])<br /> <br /> * no HW 8(since Midterm)<br /> <br /> &#039;&#039;&#039;Module 1&#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/7pt1zmegu86064ayxz5nn/Calculus_2_HW_7_C-221.pdf?rlkey=z9pgjh063er9wcdnofrumk5l9&amp;dl=0 &#039;&#039;&#039;HW 7&#039;&#039;&#039;] (release: 24.10.23; deadline: 05.11.23 [23:59 MSK])<br /> <br /> * no HW 6(since we had two seminars in one day)<br /> <br /> * [https://www.dropbox.com/scl/fi/mfkxkh91o2nstf805cti9/Calculus_2_HW_5_C-221.pdf?rlkey=o9rea5cezwzxcvkmveccp81ep&amp;dl=0 &#039;&#039;&#039;HW 5&#039;&#039;&#039;] (release: 14.10.23; deadline: 22.10.23 [23:59 MSK])<br /> <br /> * [https://www.dropbox.com/scl/fi/0fqtq4488q5c26z8srvhz/Calculus_2_HW_4_C-221.pdf?rlkey=5avkmjkjtq10e58gb84sk0dna&amp;dl=0 &#039;&#039;&#039;HW 4&#039;&#039;&#039;] (release: 07.10.23; deadline: 15.10.23 [23:59 MSK])<br /> <br /> * [https://www.dropbox.com/scl/fi/olzzd9e9hse3e28npir7b/Calculus_2_HW_3_C-221.pdf?rlkey=e5exn314ict736t1uhq9huijy&amp;dl=0 &#039;&#039;&#039;HW 3&#039;&#039;&#039;] (release: 29.09.23; deadline: 08.10.23 [23:59 MSK])<br /> <br /> * [https://www.dropbox.com/scl/fi/fiz6h485txv3g25k8p8yb/Calculus_2_HW_2_C-221.pdf?rlkey=ghhnrjxvgfb9ean3v0fofqt67&amp;dl=0 &#039;&#039;&#039;HW 2&#039;&#039;&#039;] (release: 22.09.23; deadline: 01.10.23 [23:59 MSK])<br /> <br /> * [https://www.dropbox.com/scl/fi/der5ht5nh0jy8ojxjp1r6/Calculus_2_HW_1_C-221.pdf?rlkey=7pbs1axcr4dcgqevoibet7jdh&amp;dl=0 &#039;&#039;&#039;HW 1&#039;&#039;&#039;] (release: 15.09.23; deadline: 24.09.23 [23:59 MSK])<br /> <br /> === The homework for groups 222, 223: ===<br /> <br /> &#039;&#039;&#039;Module 2&#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/g5qbnyxtedrzo7dkdqig6/HW10.pdf?rlkey=fmi0ervxq5s7qm41aq28lnsza&amp;dl=0 &#039;&#039;&#039;HW 10&#039;&#039;&#039;] (release: 26.11.23; deadline: 03.12.23)<br /> * [https://www.dropbox.com/scl/fi/5pkblynst5jqsafrxn4nf/HW9.pdf?rlkey=004gkna7xljxlz8v5cpeek2ts&amp;dl=0 &#039;&#039;&#039;HW 9&#039;&#039;&#039;] (release: 19.11.23; deadline: 26.11.23)<br /> * [https://www.dropbox.com/scl/fi/wrvg8zfzd7m4o1lhtdibk/HW8.pdf?rlkey=ppq44b1zic87pz7dzcw39yv98&amp;dl=0 &#039;&#039;&#039;HW 8&#039;&#039;&#039;] (release: 14.11.23; deadline: 19.11.23)<br /> * [https://www.dropbox.com/scl/fi/k8emisk2erbruqfog6x3j/HW7.pdf?rlkey=6wycrl124qx4d044r9uesnn5t&amp;dl=0 &#039;&#039;&#039;HW 7&#039;&#039;&#039;] (release: 05.11.23; deadline: 12.11.23)<br /> <br /> &#039;&#039;&#039;Module 1&#039;&#039;&#039;<br /> * [https://www.dropbox.com/scl/fi/j2cfapu1l7to6rpewh77l/HW6.pdf?rlkey=lsuu3he7y4x1z5xuuaovz2ys6&amp;dl=0 &#039;&#039;&#039;HW 6&#039;&#039;&#039;] (release: 22.10.23; deadline: 05.11.23)<br /> * [https://www.dropbox.com/scl/fi/t0gl9t4ztp8293pyp0x5u/HW5.pdf?rlkey=qzrpair27cn6ccdxlw00v1qao&amp;dl=0 &#039;&#039;&#039;HW 5&#039;&#039;&#039;] (release: 15.10.23; deadline: 22.10.23)<br /> * [https://www.dropbox.com/scl/fi/qysyjwqqbakare6yerrx8/HW4.pdf?rlkey=s4zdldevgiw91564fsimwgn40&amp;dl=0 &#039;&#039;&#039;HW 4&#039;&#039;&#039;] (release: 08.10.23; deadline: 15.10.23)<br /> * [https://www.dropbox.com/scl/fi/svtsmiiqylm0co8zp2d3b/HW3.pdf?rlkey=shf5ntlpj1kl62rd8otsi32ul&amp;dl=0 &#039;&#039;&#039;HW 3&#039;&#039;&#039;] (release: 01.10.23; deadline: 08.10.23)<br /> * [https://www.dropbox.com/scl/fi/puf6ht0u0pmlyem7z664y/HW2.pdf?rlkey=dy0524ycah0ix4dkjdxl4t8op&amp;dl=0 &#039;&#039;&#039;HW 2&#039;&#039;&#039;] (release: 23.09.23; deadline: 01.10.23)<br /> * [https://www.dropbox.com/scl/fi/92juzofvh8fev8hrkwy1f/HW1.pdf?rlkey=v3zdpjof4phphio9fme9tytax&amp;dl=0 &#039;&#039;&#039;HW 1&#039;&#039;&#039;] (release: 16.09.23; deadline: 24.09.23)<br /> <br /> === The homework for group 224: ===<br /> &#039;&#039;&#039;Module 1&#039;&#039;&#039;<br /> * [??? &#039;&#039;&#039;HW 1&#039;&#039;&#039;] (release: ???; deadline: ???) &lt;small&gt;([??? seminar notes])&lt;/small&gt;<br /> <br /> == Exams ==<br /> <br /> == Results ==<br /> <br /> {| class=&quot;wikitable&quot; style=&quot;text-align:center&quot;<br /> |-<br /> ! [ 221] !! [https://docs.google.com/spreadsheets/d/1e8MJhZrRCoF2CkCCzki_JBJpuWZkwGKVHFArVBhudT0/edit#gid=1043223803 222] !! [https://docs.google.com/spreadsheets/d/1PB5lmL62csREaK9haM6KRL1IN5NGfWFR5VaKNg1HYmw/edit#gid=1043223803 223] !! [https://docs.google.com/spreadsheets/d/1ORDKPkKd84pGF7NRhLpqsWH4ib_B-i7oWeXBvVP-iy0/edit#gid=1043223803 224] <br /> |}<br /> <br /> == Navigation ==<br /> &lt;div style=&quot;border:1px; border-style:solid; border-color:#a2a9b1; padding:3px&quot;&gt;<br /> &lt;table style=&quot;border-spacing:0; background:transparent; color:inherit; width:100%&quot;&gt;<br /> &lt;tr&gt;<br /> &lt;th scope=&quot;colgroup&quot; style=&quot;background-color:#cfe3ff&quot; colspan=&quot;2&quot;&gt;&lt;div id=&quot;DSBA22&quot; style=&quot;font-size:114%; margin:0 5em&quot;&gt;DSBA 2022/2023&lt;/div&gt;&lt;/th&gt;<br /> &lt;/tr&gt;<br /> &lt;tr &gt;<br /> &lt;th scope=&quot;row&quot; style=&quot;border-top-width:2px; border-top-color:#fdfdfd; border-top-style:solid; width:10%; background-color:#dcebff&quot;&gt;First year&lt;/th&gt;<br /> &lt;td style=&quot;text-align:left; border-left-width:2px; border-left-style:solid; border-color:#fdfdfd; width:90%; padding:0px&quot;&gt;<br /> &lt;div style=&quot;padding:0em 0.25em&quot;&gt;<br /> &lt;ul&gt;&lt;li style=&quot;display:inline-block; padding:2px&quot;&gt;[[LAaG_DSBA_2022/2023|Linear Algebra and Geometry]] &amp;bull; &lt;/li&gt;&lt;li style=&quot;display:inline-block; padding:2px&quot;&gt;[[Discrete_Mathematics_DSBA_2022/2023|Discrete Mathematics]] &amp;bull; &lt;/li&gt;&lt;li style=&quot;display:inline-block; padding:2px&quot;&gt;[[Calculus_DSBA_2022/2023|Calculus]] &amp;bull; &lt;/li&gt;&lt;li style=&quot;display:inline-block; padding:2px&quot;&gt;[[Introduction_to_Programming_DSBA_2022/2023|Introduction to Programming]] &amp;bull; &lt;/li&gt;&lt;li style=&quot;display:inline-block; padding:2px&quot;&gt;[[DSBA_Algebra_2022_2023|Algebra]] &lt;/li&gt;&lt;/ul&gt;<br /> &lt;/div&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;/div&gt;</div> imported>Mazhuga.A.M.