Upangiri wa Gawo ndi Gawo la Momwe Mungaphunzirire Calculus Mosavuta

Calculus ndi nthambi ya masamu yomwe imayang'ana zotengera, malire, ntchito, ndi zophatikiza. Ndi gawo lalikulu la masamu chifukwa nthawi zambiri amagwiritsidwa ntchito mu physics ndi mechanical engineering komanso.

Ophunzira ambiri aku koleji amavutika kumvetsetsa kawerengedwe makamaka chifukwa sanapeze njira yoyenera yochitira.

Calculus, monga nthambi ina iliyonse ya masamu, ndiyosavuta ngati mumvetsetsa zoyambira.

Malinga ndi akatswiri a Mypaperdone, chifukwa chomwe ophunzira ambiri amavutikira ndi masamuwa ndikuti ali ndi zoyambira zosakanikirana.

Momwe mungaphunzirire Calculus Mosavuta

Ngati muli ndi ubale wachikondi / chidani ndi calculus, zikutanthauza kuti muyenera kukumba mozama kuti muzindikire kukongola kwake ngati chilango.

Wophunzira aliyense waku koleji amamvetsetsa zowawa zomwe zimadza ndi mayeso omwe sanaphunzire bwino. Umu ndi momwe maphunziro onse amawerengedwe angamve ngati simubwereranso ku bolodi.

Mukatenga nthawi kuti mumvetsetse kawerengedwe, mumazindikira kuti momwe imagwirizanirana ndi mitu m'njira yopindika muubongo ndi yokongola. Mukamvetsetsa zoyambira, mumayamba kuwona mavuto ngati mwayi wosewera ndi manambala.

Calculus ndi mwambo wowunikira, ndipo nayi chitsogozo chatsatane-tsatane kuti mumvetsetse.

1. Yambani ndi magawo ena a masamu oyambira

Popeza calculus ndi nthambi ya masamu, imatanthauza kumvetsetsa; choyamba muyenera kumvetsetsa zoyambira masamu. Zina mwa magawo ena a masamu okhudzana ndi calculus omwe muyenera kudutsamo ndi awa;

Masamu

Nthambi ya masamu iyi imagwira ntchito za masamu.

algebra

Algebra imakuphunzitsani za magulu ndi ma seti.

Trigonometry

Nthambi iyi imakhudza chilichonse chokhudza ma triangles ndi mabwalo.

masamu

Apa muphunzira za mawonekedwe amitundu yonse.

2. Kumvetsetsa mbali za Calculus

Tsopano popeza mwamvetsetsa masamu onse okhudzana ndi mawerengedwe, mutha kuyang'ana zoyambira za nthambi iyi. Mu can iyi, muphunzira za timagulu ting'onoting'ono, mwachitsanzo, mawerengedwe ophatikizika ndi mawerengero osiyanitsa.

Calculus, kawirikawiri, ndi phunziro la kudzikundikira, kusintha, ndi kusintha kwa kusintha, zomwe zimamveka zovuta kwambiri, koma ndizosavuta.

3. Phunzirani njira zowerengera

Mawerengedwe ophatikizika ndi otuluka ali ndi njira zoyambira zomwe zimakuthandizani kuyang'ana zovuta zamaphunzirowa. Dziwani kuti pa fomula iliyonse, muyenera kuphunziranso umboni woyenerera.

Mukatero, kuyankha mafunso ofunsira kumakhala kosavuta chifukwa mumamvetsetsa momwe fomula imayendera.

4. Phunzirani za malire

Mu calculus, ntchito yovuta ikhoza kuthetsedwa mutapeza malire ake. Malire ophatikizika amakupangitsani kutanthauzira ntchito kukhala kosavuta chifukwa mumatha kuthetsa tizigawo tating'onoting'ono.

5. Phunzirani chiphunzitso cha calculus

Izi ndizofunikira kwambiri chifukwa simungamvetsetse ntchito zovuta ngati simukudziwa ma theorems oyambira. Mfundo zazikuluzikulu za kawerengedwe zimakuphunzitsani kuti kusiyanitsa ndi kuphatikiza ndizosiyana.

Phunzirani momwe mungasasokonezedwe pophunzira.

6. Yesetsani kuwerengera zovuta

Mukadutsa pazoyambira zonse, ndi nthawi yoti muyese chidziwitso chanu pothana ndi zovuta zamawerengero. Onetsetsani kuti mwasankha zovuta zosiyanasiyana zomwe zimakupatsani mwayi woyeserera zovuta zonse za calculus.

Mukakakamira kuthetsa ntchito, onetsetsani kuti mukukambirana ndi ophunzira anzanu. Zingawoneke ngati sizikuwoneka ngati izi pakadali pano, koma zoyesayesa zazing'onozi zimatsimikizira kuti mumapeza giredi yapamwamba kwambiri kumapeto kwa semester.

Onetsetsani kuti tsiku lisadutse osayesa zovuta zamawerengero chifukwa chizolowezi chimapangitsa kukhala changwiro.

Chidziwitso pa Zitsanzo

Zitsanzo zambiri zamawerengero zimatengera malingaliro afizikiki, zomwe ndi zabwino kwa aliyense amene akuchitanso sayansi. Komabe, zitha kutanthauza zovuta kwa aliyense amene akulimbana ndi physics.

Izi zikutanthauza kuti muyenera kupukuta chidziwitso chanu cha physics kuti mupambane pa calculus. Mwachitsanzo, kodi mumadziwa equation ya liwiro la chinthu? Ngati simungathe kuyankha izi kuchokera pamwamba pa mutu wanu, muyenera kubwereranso ku bolodi lojambula.

Ndikwabwinoko, poyambira, zitsanzo zafizikiki musanadumphire mu calculus. Onetsetsani kuti mumagwiritsa ntchito zitsanzo zowoneka ngati zikupangitsa kuti mfundo zomvetsetsa zikhale zosavuta.

7. Yang'ananinso Malingaliro anu

Zimenezi n’zofunika kwambiri chifukwa palibe amene amalephera kukumbukira zinthu. Ngati simukutsimikiza 100%, onetsetsani kuti mwayang'ananso malingaliro anu. Uku ndiye kusiyana pakati pa kuganiza kuti pepala ndikosavuta komanso kupeza magiredi abwino kwambiri zotsatira zikabweranso.

Mukaphunzira lingaliro, onetsetsani kuti mwayang'ananso za kupanga zolakwika zodula mukamalemba ntchito kapena mayeso. Onetsetsani kuti mwapeza nthawi yowerengera zolemba zanu, ndipo mumachita izi kukhala chizoloŵezi chifukwa mawerengedwe si chinthu choti muphunzire kamodzi pa sabata.

Ngati mukufuna kuchita bwino, muyenera kukhala ndi chidwi ndi maphunziro anu. Osachita manyazi kupempha thandizo kwa maprofesa anu. Kupatula apo, ndichifukwa chake ali pasukulu poyambirira.

Mfundo Zofunika Kuzikumbukira

Calculus si imodzi mwa maphunziro omwe mungathe kuwamvetsa popanda mphunzitsi. Ichi ndichifukwa chake muyenera kupezeka pamisonkhano yonse ndikumvetsera zomwe pulofesa akunena.

Kuyeserera ndiye chinsinsi chakuchita bwino pankhani yowerengera. Onetsetsani kuti mwapanga zitsanzo zambiri momwe mungathere ndikupempha thandizo pamene mukukakamira.

Nthawi zonse yambani ndi zoyambira zotengera nthawi iliyonse mukayesa kupanga mawerengedwe.

Kutsiriza Kwambiri

Calculus ingawoneke ngati nkhani yovuta poyang'ana koyamba, koma mukakhala ndi cholinga chophunzira, mumazindikira kuti zonse ndi zomveka. Chifukwa chake yankho lamomwe mungaphunzirire mawerengedwe mosavuta laperekedwa apa m'ndime zapamwambazi.

Onetsetsani kuti mumayeserera vuto limodzi la mawerengedwe tsiku lililonse kuti musinthe luso lanu lothana ndi mavuto. Kumbukirani kuti mapulofesa ali kusukulu kuti akuthandizeni mukakakamizika, choncho musachite manyazi kufunsa mafunso. Kupatula apo, umu ndi momwe mumaphunzirira.