{"id":838,"date":"2011-04-26T09:56:43","date_gmt":"2011-04-26T02:56:43","guid":{"rendered":"https:\/\/istiarto.staff.ugm.ac.id\/"},"modified":"2021-08-08T20:14:14","modified_gmt":"2021-08-08T13:14:14","slug":"matematika","status":"publish","type":"page","link":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/kuliah\/arsip-kuliah-lama\/matematika\/","title":{"rendered":"Matematika"},"content":{"rendered":"

Kuliah \u2018Matematika I\u2019 merupakan salah satu mata kuliah wajib pada Program S1, Semester I. Materi kuliah yang ditampilkan di situs ini merupakan materi Bagian I yang diberikan sebelum UTS. Materi Bagian I diberikan dalam 7\u00d7100\u2032 tatap muka.<\/p>\n

Materi Kuliah<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Minggu ke-<\/strong><\/td>\nMateri<\/strong><\/td>\n<\/tr>\n<\/thead>\n
1<\/td>\nGrafik Fungsi.
\nAsimtot.
\nMenggambar grafik.<\/td>\n<\/tr>\n
2<\/td>\nSistem bilangan real dan sistem koordinat.
\nNilai mutlak.
\nSistem koordinat kartesius.
\nSistem koordinat kutub.<\/td>\n<\/tr>\n
3<\/td>\nFungsi:
\nPengaruh relasi dan fungsi.
\nFungsi injektif, subjektif, bijektif.
\nInvers dan komposisi fungsi.<\/td>\n<\/tr>\n
4<\/td>\nJenis-jenis fungsi dan grafiknya.<\/td>\n<\/tr>\n
5<\/td>\nLimit fungsi:
\nPengertian limit dan sifat-sifatnya.
\nLimit ???<\/td>\n<\/tr>\n
6<\/td>\nLimit Fungsi
\nLimit tak hingga.
\nLimit trigonometri.<\/td>\n<\/tr>\n
7<\/td>\nLimit fungsi dan kekontinuan.
\nBilangan alam (e).
\nKekontinuan.<\/td>\n<\/tr>\n
8<\/strong><\/td>\nUjian Tengah Semester<\/strong><\/td>\n<\/tr>\n
9<\/td>\nDerivatif:
\nPengertian.
\nSifat-sifat derivatif.
\nRumus-rumus dasar.
\nDerivatif fungsi trigonometri.<\/td>\n<\/tr>\n
10<\/td>\nDerivatif (lanjutan).
\nAturan rantai.
\nDerivatif fungsi invers.
\nDerivatif fungsi implisit.
\nDerivatif fungsi siklometri.
\nDerivatif fungsi eksponen dan logaritma.<\/td>\n<\/tr>\n
11<\/td>\nDerivatif lanjut:
\nDerivatif fungsi hiperbolik.
\nDerivatif fungsi parameter.
\nDerivatif tingkat tinggi.
\nArti geometri dan arti fungsi derivatif.<\/td>\n<\/tr>\n
12<\/td>\nDiferensial dan penggunaannya.
\nL\u2019Hopital.<\/td>\n<\/tr>\n
13<\/td>\nGrafik fungsi:
\nMax-min fungsi.
\nNilai turun fungsi.
\nCembung cekung.
\nTitik balik.<\/td>\n<\/tr>\n
14<\/td>\nGrafik fungsi:
\nAsimtot.
\nMenggambar grafik.<\/td>\n<\/tr>\n
15<\/td>\nIntegral tak tentu:
\nPengertian integral tak tentu dan sifat-sifatnya.
\nIntegral substitusi.
\nIntegral parsial.<\/td>\n<\/tr>\n
16<\/strong><\/td>\nUjian Akhir Semester<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Buku Acuan<\/h2>\n

Supama, Ch. Rini I, Salmah, Atok Z, M. Tari, Yusuf, 2003, Kalkulus <\/em>I, Jurusan Matematika FMIPA UGM.<\/p>\n

Purcell, E.J., Varberg, D., 1984, Calculus with Analytic Geometry<\/em>, 4th Ed., terjemahan kedalam Bahasa Indonesia oleh I Noan Susila, Bana Kartasasmita, Rawuh, Penerbit Erlangga.<\/p>\n

Soal Ujian<\/h2>\n

Soal Quiz Matematika I 29Mar11<\/a>;   Soal Quiz Matematika I 02Mar11<\/a>
\nSoal UTS Matematika I 09Apr11<\/a>
\nSoal UAS Matematika I 2010<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Kuliah \u2018Matematika I\u2019 merupakan salah satu mata kuliah wajib pada Program S1, Semester I. Materi kuliah yang ditampilkan di situs ini merupakan materi Bagian I yang diberikan sebelum UTS. Materi Bagian I diberikan dalam 7\u00d7100\u2032 tatap muka. Materi Kuliah Minggu … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1108,"featured_media":0,"parent":3943,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-838","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/pages\/838","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/users\/1108"}],"replies":[{"embeddable":true,"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/comments?post=838"}],"version-history":[{"count":0,"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/pages\/838\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/pages\/3943"}],"wp:attachment":[{"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/media?parent=838"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}