Maphunziro a 10 Best Online Calculus 2021

Ada mangala ku nkhani by pa 16 Seputembara 2021

Ngati mukufuna kukonza luso lanu masamu kusukulu kapena magwiridwe antchito, ndiye izi maphunziro abwino kwambiri owerengera pa intaneti zidzakuthandizani kwambiri. 

Maphunziro Abwino Kwambiri Pa intaneti

Maphunziro a 10 Best Online Calculus 2021

Talemba zambiri mwatsatanetsatane wowongoleredwa wosavuta. Muyenera kudziwa:

  • Calculus ndi chiyani? 
  • Kodi maphunziro a Online Calculus amagwira ntchito bwanji?
  • Maphunziro a 10 Best Online Calculus 2021
  • Kodi kutsatira
  • Ndipo zambiri zambiri

Calculus ndi chiyani? 

Calculus ndi gawo la masamu yomwe imayang'ana kwambiri pakuphunzira madera ozungulira ma curve (Integral calculus) ndi mitengo ya kusintha (masiyanidwe calculus). 

Dera loyamba la Calculus; masiyanidwe owerengera amakhala ndi malo otsetsereka a zokhotakhota ndi mitengo yosinthira posachedwa, pomwe zowerengera zofunikira zimayang'ana madera omwe ali pansi kapena pakati pa ma curve ndi kuchuluka kwa zochulukirapo. Chiphunzitso choyambirira cha kuwerengera chimapangitsa zonse kukhala zogwirizana. 

Kodi maphunziro a Online Calculus amagwira ntchito bwanji?

Mapulogalamu owerengera pa intaneti ndi ma intaneti oyambira mapulogalamu owerengera omwe amayang'ana kwambiri maphunziro owerengera ndi mapulogalamu apamwamba. 

Maphunzirowa ndi cholinga chophunzitsira makina owerengera pa intaneti kudzera munthawi yabwino yophunzirira yomwe ingaphatikizire maphunziro apakanema, kuthana ndi mavuto amakina, kukhala ndi mafunso, ndi zina zambiri.

Maphunziro a 10 Best Online Calculus 2021

Mndandandawu uli ndi maphunziro abwino kwambiri pa intaneti, zabwino zawo, kutalika kwake, maubwino ake, ndi momwe angagwiritsire ntchito. Oyamba kumene, ophunzira apakatikati, ndi akatswiri onse atha kuphunzira kuchokera pamaphunzirowa. 

  1. Khalani Calculus 1 Master (Udemy)
  2. Maphunziro a Top Calculus (Udemy)
  3. Maphunziro a Koleji & Zikalata ku Calculus (Coursera)
  4. Kuyamba kwa Calculus ndi University of Sydney (Coursera)
  5. Khalani Calculus 3 Master (Udemy)
  6. Maphunziro a University Calculus Online (edX)
  7. Kalasi ya Calculus (Khan Academy)

1. Khalani Calculus 1 Master (Udemy)

Choyamba pamndandanda wamaphunziro apamwamba a pa intaneti ndi 'Khalani mbuye wa 1' kuchokera ku Udemy. Mitu yomwe imaphimbidwa m'makalasi imaphatikizapo malire ndi kupitiriza, ntchito, ma graph, zochokera, ndi zofunikira zonse. 

Maphunziro owerengera pa intanetiwa ali ndi Maphunziro 284, Zolemba 147, Zida zotsitsika 219, komanso mwayi wopeza moyo wonse. 

Pambuyo pa gawo lirilonse, zovuta zomwe mumachita ndikufunsani zimakupatsani mwayi wophunzirira, kuyeseza, ndi kumvetsetsa zambiri. 

Kutalika: Maola 18.5

ubwino;

  • Maphunzirowa ndiokwera mtengo pa Udemy.
  • Mvetsetsani kukhazikitsidwa kwamavuto, momwe mungawathetsere, ndikupeputsa mayankho.
  • Chitani zomwe mukuchita ndi mafunso ndikufotokozerani kukayika kwanu mu gawo la Q&A.
  • Palibe chidziwitso choyambirira chofunikira kuti chilembetse izi.
  • Gwiritsani ntchito zolembazo kuti mukonzenso mfundo zofunika. 

Kukala: 4.7 mwa 5

Kodi kutsatira

Kulemba,  lowani  

2.Maphunziro apamwamba a Calculus (Udemy)

Maphunziro a Udemy ndiabwino kwa anthu omwe adakali akatswiri ku Calculus. Ndi zosankha zosefera zomwe zimapezeka patsamba lino, mutha kupeza chitsimikiziro kapena maphunziro omwe akugwirizana ndi zomwe mukufuna.  

Maphunzirowa pa intaneti ali ndi Mitu, Zolemba, Zida zotsitsa, komanso mwayi wopeza moyo wonse

Maphunziro ena ogulitsa kwambiri akuphatikizapo Kukhala mbuye wa calculus, mapulogalamu a injiniya, oyamba kumene. Maphunzirowa amagogomezera kwambiri magwiridwe antchito komanso nthanthi ndipo ndi ena mwa omwe akupikisana nawo kwambiri pamundawu.

ubwino:

  1. Palibe chofunikira pakulembetsa chomwe chikufunika pa pulogalamu yoyambira kumeneyi. 
  2. Maphunziro otsogola komanso apakatikati ali ndi mapulojekiti oyenera.
  3. Mangani maziko olimba musanapite ku malingaliro ovuta kwambiri.
  4. Sinthani ma graph kuyambira pa ntchito yofanana.
  5. Dziwani ntchito zosiyanasiyana, madomeni awo, ndi ma graph.
  6. Zitifiketizo zitha kupezeka pamalipiro ochepa.

Kutalika: Wodzipangira

Kodi Kupindula 

Kulemba, lowani 

3. Maphunziro a Koleji & Zikalata ku Calculus (Coursera)

Maphunziro a pa intaneti ochokera ku Coursera ali ndi mapulogalamu angapo omwe angakuthandizeni kukulitsa chidziwitso chanu ku Calculus. Mulingo wanu wamakono ulibe kanthu.  

Zosankha zoyambira zimaphatikizapo precalculus trigonometry, ntchito zosintha, kusiyanitsa, kuphatikiza, ndi zina zambiri. Masamu a pulogalamu yophunzirira makina amalola ophunzira odziwa kugwiritsa ntchito zomwe akudziwa m'magawo omwe akukula kwambiri padziko lapansi. 

ubwino:

1. Maphunzirowa agawika m'magulu oyambira, apakatikati komanso otsogola.

  1. Mavuto ambiri mchitidwe adzakuthandizani kuti mumvetse bwino malingalirowo.
  2. Nthawi zosintha zimakupatsani mpata wochita maphunziro anu mosavuta.
  3. Zisonyezero ndi zokambirana zimapangitsa kuti zikhale zosangalatsa.
  4. Chithandizo chopitilira kuchokera kwa wophunzitsa ngati angakayikire zilizonse.
  5. Malizitsani kuyesa ndi ntchito kuti mupeze baji yomaliza maphunziro.

Kutalika: Wodzipangira

Kodi kutsatira 

Kugwiritsa ntchito, lowani  

4. Kuyamba kwa Calculus ndi University of Sydney (Coursera)

Pulogalamuyi imayang'ana kwambiri pazofunikira kwambiri pakugwiritsa ntchito masamu mu uinjiniya, sayansi, ndi malonda. Zophunzitsazi zimakhala zogwirizana pakati pa chiphunzitso ndi momwe amagwiritsidwira ntchito ndikugogomezera malingaliro ndi zomwe zimalimbikitsa Calculus. 

Mumayamba maphunziro owerengera bwino pa intaneti podziwa zofunikira, kuphatikiza zoyambira ndi kusokoneza ma equation. Kuphatikiza apo, mukhala ndi mitu yovuta kwambiri popita.

Gawo la maphunzirowa limagawidwa sabata iliyonse ndipo pamakhala kuwonjezeka pang'ono pang'ono pamlingo wovuta. 

ubwino:

  1. Limbikitsani kutsata njira zoyambirira zama tangents ndi malire ndi tanthauzo la chochokera.
  2. Gwiritsani ntchito njira zowerengera masiyanidwe ndi ntchito ndi zowerengetsa zofunikira.
  3. Malizitsani magawo omwe mwapatsidwa, mafunso, ndi mayeso kuti mupeze baji yomaliza maphunziro.
  4. Nthawi zosinthika zimakupatsani ufulu wophunzirira mosavuta.

Kutalika: Maola 35, maola 9 pa sabata

Kodi Kupindula 

Kulemba, lowani 

5. Khalani Calculus 3 Master (Udemy)

Maphunzirowa ndi abwino kwa iwo omwe ali kale ndi maziko oyambira mu calculus ndipo akufuna kuphunzira zina zovuta. Mitu yomwe iyenera kuphimbidwa ikuphatikizira zochokera pang'ono, zophatikizira, zophatikizika zingapo, ma vekitala kuphatikiza zotengera ndi malamulo amtambo, masiyanidwe ofanana, dongosolo lachiwiri lofanana komanso losagwirizana la DE, ndi zina zambiri.  

ubwino

  1. Ziphunzitsozi zimaphunzitsa malingaliro apakatikati komanso otsogola a Calculus m'njira yosavuta.
  2. Gwiritsani ntchito poyeserera ndi mafunso akutsatiridwa ndi mabuku ogwirira ntchito pamavuto ena.
  3. Mitu imagawidwa m'magawo anayi - zotumphukira pang'ono, zophatikiza zingapo, ma vekitala, ndi ma equation osiyana.
  4. Misonkhano 374 + 326 Zotsitsidwa
  5. Lowetsani nawo pulogalamuyo pamlingo wokhazikika.

Nthawi: hours 32.5

Kodi kutsatira

Kulemba, lowani 

6. Maphunziro a University Calculus Online (edX)

Imodzi mwamitu yofunika kwambiri pa Calculus ndi masamu, chifukwa chake maphunzirowa amapereka maphunziro osiyanasiyana apamwamba pa masamu ndi mayunivesite abwino kwambiri padziko lapansi. Mutha kusankha pamachitidwe, kukonzekera mayeso a AP calculus, maphunziro a precalculus, ndi zina zambiri. Mudzakhala ndi maziko olimba pankhaniyi ndipo mudzatha kuwagwiritsa ntchito pamavuto osiyanasiyana mukamaliza maphunziro.

ubwino

  1. Lankhulani ndi mfundo zazikuluzikulu m'modzi m'modzi ndikumvetsetsa bwino musanapite ku maphunziro ovuta kwambiri.
  2. Maphunziro ndi ntchito zimathandizira wophunzirayo kumvetsetsa tanthauzo la lingaliro lililonse.
  3. Phunzirani za ntchito zowoneka bwino, zowoneka bwino, logarithmic, polynomial pakati pa ena.
  4. Dongosolo lapamwamba likuwonetsani maluso ogwiritsira ntchito zida zofunikira kuti muwunikire zenizeni zenizeni zamavuto.
  5. Kafukufuku angapo adzakuthandizani kuwunika mafunso, kumvetsetsa momwe azachuma amawonetsera mtengo ndi momwe amafunira pogwiritsa ntchito mitengo yosintha.
  6. Zinthu zowerengera komanso makanema mutha kuzipeza mwaulere ndipo chiphaso chitha kuwonjezeredwa ngati ndalama zowonjezera.

Kutalika: Wodzipangira

Kodi kutsatira

Kulemba, lowani 

7. Kalasi ya Calculus (Khan Academy)

Nkhani zamaphunzirowa zidagawika magawo awiri; matanthauzidwe a Calculus ndi malamulo oyambira pakugwiritsa ntchito zophatikizira. Mitu yomwe iyenera kufufuzidwa ndikuphatikizira kupitilira kwakanthawi, kusanthula kwa ntchito, malire, malamulo azogulitsa, vuto la kukhathamiritsa, ndikugwiritsa ntchito malingaliro onse okutidwa. 

ubwino

  1. Mavidiyowa amakutsogolerani pamitu yonse kuyambira pamawu oyambira kupita kumalingaliro onse ofunikira.
  2. Pezani machitidwe abwino, upangiri, ndi njira zazifupi kuti muzindikire mtundu wamavuto ndikuwongolera msanga.
  3. Makanema owonetsa amakuwonetsani komwe kwachokera m'njira zofunika.
  4. Maphunzirowa ndi achidule ndipo amakhudza mitu yonse molunjika.
  5. Kuyeserera kumatsata gawo lirilonse lomwe lingakuthandizeni kutsatira malamulo ndi malingaliro omwe amapezeka m'mavidiyo.
  6. Malizitsani magawowa ndikupeza malo olimbikira omwe akuwonetsa kumvetsetsa kwanu kwamaphunziro.

Kutalika: Wodzipangira

Kodi Kupindula

Kulemba, lowani 

8. Masamu Ophunzirira Makina: Multivariate Calculus wolemba Coursera

Samuel J. Cooper, A. Freddie tsamba ndi David Dye ndi magulu omwe angakulangizeni masamu pamaphunziro a makina. Maphunzirowa adapangidwa ndi Imperial College London. Phunziroli, mupeza za malire owongolera m'malamulo azinthu zingapo. Mudziwa zamomwe mungayang'anire ntchito zowerengera. Akuwonetsani tanthauzo la manambala amphamvu ndipo muphunzira za kuthekera kochititsa chidwi. Mudziwa pogwiritsa ntchito masewera owoneka bwino momwe mungasungire mawonekedwe azithunzi zingapo. Akuthandizani momwe mungapezere kulumikizana ndi kuthekera pogwiritsa ntchito ma analytics. Momwemonso mupeza mitundu yoyambiranso momwe mungagwiritsire ntchito masamu. Kuti mudziwe bwino maphunzirowa, pamafunika nthawi yamasabata 6.

Kulemba, Ikani Tsopano

9. Calculus Course ndi Outlier

Chopangidwa ndi Co-founder wa MasterClass, iyi ndi imodzi mwamaphunziro abwino kwambiri a Calculus. Njira zowonongera zapadziko lapansi, njira zothandizidwa ndi sayansi zikupereka mwayi wopambana wophunzira kwakanthawi kwakanthawi. Pa nsanja, mumayenera kusankha pakati pa ophunzitsa apamwamba a 3 kuti mupeze mawonekedwe ophunzitsira omwe amakukondani bwino. Gwiritsani ntchito luso lanu pogwiritsa ntchito mafunso, mayeso, ndi mawonekedwe owoneka bwino owerengera apakompyuta. Mudzafika kuzowongolera zaulere, mwamtendere ndikuwerengera gulu ngati mukufuna thandizo lina. Kugwiritsa ntchito mitundu yeniyeni kuchokera ku sayansi kupita pamasewera mpaka kukhutitsidwa ndi anthu, maphunziro odabwitsa awa adzakuthandizani ace calculus (komanso ngakhale kuphunzira ena osachokera ku njira).

Kulemba, Ikani Tsopano

10. Calculus mu maola 12 ndi FreeCodeCamp

Maphunzirowa adapangidwa ndi a Dr. Linda Green omwe ndi pulofesa ku University of North Carolina ku Chapel Hill. Amakhala ndi nthawi yayitali pophunzitsa Calculus kwa ophunzira aku koleji. Maphunzirowa amaphatikiza maphunziro awiri omwe aphunzitsidwa ndi Dr. Green. Amaphunzitsa maphunziro a Calculus 1 komanso a Calculus 1 Corequisite, omwe amayenera kuchitidwa nthawi imodzi. Mu kanemayu, zokambirana zochokera ku Corequisite, zomwe zimawunikira malingaliro ofunikira a Algebra ndi Trigonometry, aphatikizidwa ndi zokambirana za Calculus 1 m'malo omwe a Dr. Green. Amalangizidwa kuti mutulutse pepala ndi pensulo ndikulemba zolemba zenizeni - monga momwe mudabwerera mkalasi. Kusintha kwa manotsi uku kukuthandizani kuti mukhale bwino ndikukhala ndi malingaliro awa kuyambira pomwe Dr. Green amasunthira mwachangu ndikukwaniritsa maphunziro angapo kwakanthawi kochepa.

Kulemba, Ikani Tsopano

FAQs

Kodi ndingaphunzire zowerengera pa intaneti?

Mawebusayiti a maphunziro monga Edx amapereka maphunziro oyambira owerengetsera komanso mapulogalamu apamwamba. Maphunzirowa ndi cholinga chophunzitsira makina owerengera pa intaneti kudzera munthawi yabwino yophunzirira yomwe ingaphatikizire maphunziro apakanema, kuthana ndi zovuta zowerengera, kukhala ndi mafunso, ndi zina zambiri.

Kodi njira zabwino kwambiri zophunzirira kuwerengera ndi ziti?

Njira zabwino zophunzirira kuwerengera ndi;

  1. Yambani ndi Magawo Ena Oyambira a Masamu.
  2. Dziwani Magawo a Calculus.
  3. Phunzirani Mafomu a Calculus.
  4. Dziwani lingaliro la malire
  5. Mvetsetsani Mfundo Yofunika Kwambiri ya Calculus
  6. Chitani Zovuta Zowonjezera Zambiri.
  7. Funsani Zokaikira zanu

Kutsiliza

Ndipo ndizo zonse. Tikukhulupirira kuti mwadziwa Kodi Calculus ndi chiyani, momwe maphunziro a Online Calculus amagwirira ntchito, maubwino ake, nthawi yake, ndi momwe mungagwiritsire ntchito.

Ngati muli ndi mafunso okhudzana ndi maphunziro a pa intaneti, tiuzeni mu ndemanga pansipa

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