Isinyathelo Ngesinyathelo Umhlahlandlela Wendlela Yokufunda I-Calculus Kalula

I-Calculus igatsha lezibalo elibhekene nokuphuma kokunye, imikhawulo, imisebenzi, nokuhlanganisa. Iyingxenye enkulu yezibalo ngoba imvamisa isetshenziswa ku-physics kanye nobunjiniyela bemishini.

Abafundi abaningi basekolishi bakuthola kunzima ukuqonda i-calculus ikakhulukazi ngoba abayitholanga indlela efanele yokubhekana nayo.

I-Calculus, njenganoma yiliphi elinye igatsha lezibalo, ilula uma uqonda okuyisisekelo.

Ngokusho kongoti beMypaperdone, isizathu esenza abafundi abaningi babhekane nalesi sidlo sezibalo wukuthi banezisekelo ezixutshiwe.

Ungayifunda kanjani i-Calculus Kalula

Uma unobudlelwano bothando/wenzondo ne-calculus, kusho ukuthi udinga ukumba ujule ukuze ubonge ubuhle bayo njengesiyalo.

Wonke umfundi wasekolishi uyabuqonda ubuhlungu obuhambisana nokwenza isivivinyo abangasifundanga kahle. Lena yindlela zonke izifundo ze-calculus ezingazizwa ngayo uma ungabuyeli ebhodini lokudweba.

Uma uthatha isikhathi sakho ukuqonda i-calculus, uyabona ukuthi indlela ehlotshaniswa ngayo nezihloko ngendlela egoba ubuchopho inhle. Uma usuqonda izinto eziyisisekelo, uqala ukubuka izinkinga njengethuba lokudlala ngezinombolo.

I-Calculus iyisiyalo esikhanyiselayo, futhi nansi inkomba yesinyathelo nesinyathelo ukukusiza ukuthi uyiqonde.

1. Qala ngezinye izingxenye zezibalo eziyisisekelo

Njengoba i-calculus iyigatsha lezibalo, kusho ukuyiqonda; okokuqala kufanele uqonde izisekelo zezibalo. Eminye yeminye imikhakha yezibalo ehlobene nokubala okufanele udlule kuyo ihlanganisa;

arithmetic

Leli gatsha lezibalo libhekene nokusebenza kwe-arithmetic.

I-Algebra

I-Algebra ikufundisa ngamaqembu namasethi.

I-Trigonometry

Leli gatsha lihlanganisa konke mayelana nezakhiwo zonxantathu nezindilinga.

Jiyomethri

Lapha uzofunda mayelana nezakhiwo zabo bonke umumo.

2. Qonda izingxenye zeCalculus

Manje njengoba usuwaqonda wonke amagatsha ezibalo ahlobene nokubala, usungakwazi manje ukubheka izinto eziyisisekelo zaleli gatsha. Kuleli can, uzofunda mayelana namaqembu amancane amancane, okungukuthi, i- integral calculus kanye nokubala okuhlukile.

I-Calculus, ngokuvamile, isifundo sokuqongelela, ukuguquka, kanye nezinga loshintsho, okuzwakala kuyinkimbinkimbi kakhulu, kodwa kulula ngempela.

3. Funda amafomula wokubala

I-Integral and derivative calculus inamafomula ayisisekelo akusiza ukuthi uzulazule kumabhithi ayinkimbinkimbi alesi siyalo. Qaphela ukuthi kufomula ngayinye, udinga ukufunda nobufakazi obufanele.

Uma wenza kanjalo, ukuphatha imibuzo yohlelo lokusebenza kuba lula ngoba uyaqonda ukuthi ifomula igeleza kanjani.

4. Funda ngemikhawulo

Ku-calculus, umsebenzi oyinkimbinkimbi ungaxazululwa uma uthola umkhawulo wawo. Imikhawulo yokusebenza eyinkimbinkimbi yenza ukucacisa umsebenzi kube lula ngoba uthola ukuxazulula zonke izingxenye ezincane.

5. Funda i-Basic theorem ye-calculus

Lokhu kubaluleke kakhulu ngoba awukwazi ukuqonda imisebenzi eyinkimbinkimbi uma ungawazi ama-theorems ayisisekelo wokubala. Amathiyori ayisisekelo wokubala akufundisa ukuthi ukuhlukanisa nokuhlanganiswa kuphambene komunye nomunye.

Funda ukuthi ungaphazanyiswa kanjani ngenkathi ufunda.

6. Zijwayeze izinkinga zokubala

Uma usudlule kuzo zonke izisekelo, sekuyisikhathi sokuhlola ulwazi lwakho ngokuxazulula izinkinga zokubala. Qiniseka ukuthi ukhetha inhlobonhlobo yezinkinga ezikuvumela ukuthi usebenzise zonke izinkinga zokubala.

Lapho ubambeka ekuxazululeni umsebenzi, qiniseka ukuthi uthintana nabanye abafundi. Kungase kungabonakali kanjalo okwamanje, kodwa le mizamo emincane iqinisekisa ukuthi uthola ibanga elingaphezu kwesilinganiso ekupheleni kwesemester.

Qinisekisa ukuthi usuku aludluli ungazange uzilolonge izinkinga zokubala ngoba ukuzijwayeza kwenza kuphelele.

Inothi Lezibonelo

Iningi lezibonelo ku-calculus zisekelwe emicabangweni ye-physics, okuyinto enhle kunoma ubani owenza i-physics. Nokho, kungase kusho inkinga kunoma ubani odonsa kanzima nge-physics.

Lokhu kusho ukuthi udinga ukupholisha ulwazi lwakho lwefiziksi ukuze uphumelele ekubaleni. Ngokwesibonelo, ingabe uyayazi i-equation yesivinini sento? Uma ungakwazi ukuphendula lokhu kusuka phezulu kwekhanda lakho, udinga ukubuyela ebhodini lokudweba.

Empeleni kungcono, okokuqala, izibonelo zefiziksi ngaphambi kokuthi ungene ku-calculus. Qiniseka ukuthi usebenzisa izibonelo ezibukwayo njengoba zenza ukuqonda kube lula.

7. Hlola kabili Imiqondo yakho

Lokhu kubaluleke kakhulu ngoba akekho umuntu ongakwazi ukulahlekelwa inkumbulo. Uma ungaqiniseki ngo-100%, qiniseka ukuthi uhlola imiqondo yakho kabili. Lona umehluko phakathi kokucabanga ukuthi iphepha kulula futhi empeleni ukuthola amamaki amahle kakhulu uma imiphumela ibuya.

Uma usuwufundile umqondo, qiniseka ukuthi uhlola kabili mayelana nokwenza amaphutha abizayo uma wenza umsebenzi ozokwenziwa noma uhlolo lokuzihlalela. Qinisekisa ukuthi wenza isikhathi sokufunda amanothi akho, futhi ukwenza lokhu kube umkhuba ngoba i-calculus akuyona into yokufunda kanye ngesonto.

Uma ufuna ukwenza kahle, kufanele ube nenhloso ngokufunda kwakho. Ungalokothi ugweme ukucela usizo kubaprofesa bakho. Phela yingakho besesikoleni kwasekuqaleni.

Amathiphu Abalulekile Okufanele Uwakhumbule

I-Calculus ayisona esinye salezo zifundo ongaziqonda ngaphandle komfundisi. Yingakho udinga ukuya kuzo zonke izinkulumo futhi unake lokho uprofesa akushoyo.

Ukuzilolonga kuwukhiye wokwenza kahle uma kukhulunywa ngezibalo. Qiniseka ukuthi wenza izibonelo eziningi ngangokunokwenzeka futhi ufune usizo lapho ubambeka.

Njalo qala ngezinto eziyisisekelo zokuphuma kokunye isikhathi ngasinye lapho uzama ukuthola umsebenzi wokubala.

Ukucabanga kokugcina

I-Calculus ingase ibonakale njengesifundo esiyinkimbinkimbi ekuqaleni, kodwa uma uzimisele ngokufunda, uyaqaphela ukuthi konke kunengqondo. Ngakho-ke impendulo yokuthi ungayifunda kanjani i-calculus kalula inikezwe lapha ezigabeni ezingenhla.

Qiniseka ukuthi uzijwayeza okungenani inkinga eyodwa yokubala usuku ngalunye ukuze upholise amakhono akho okuxazulula izinkinga. Khumbula ukuthi osolwazi basesikoleni ukukusiza uma ubhajwa, ngakho ungalokothi uzizwe unamahloni ukubuza imibuzo. Phela ufunda ngale ndlela.