ISikhokelo seNyathelo ngeNyathelo sendlela yokufunda iKhalculus ngokulula

I-Calculus lisebe lemathematika elijongana nezinto eziphuma kuzo, imida, imisebenzi, kunye nezidibanisi. Yeyona nxalenye iphambili yezibalo kuba ihlala isetyenziswa kwifiziksi kunye nobunjineli bomatshini ngokunjalo.

Abafundi abaninzi beekholeji banobunzima bokuqonda i-calculus ikakhulu ngenxa yokuba abayifumananga indlela eyiyo yokuyilungisa.

I-Calculus, njengalo naliphi na elinye isebe lemathematika, ilula ukuba uyaziqonda iziseko.

Ngokutsho kweengcali zeMypaperdone, isizathu sokuba abafundi abaninzi basokole ngolu hlobo lwemathematika kukuba baneziseko ezixutyiweyo.

Uyifunda njani iCalculus ngokulula

Ukuba unothando / intiyo yobudlelwane kunye necalculus, oko kuthetha ukuba kufuneka umbe nzulu ukuxabisa ubuhle bayo njengoqeqesho.

Wonke umfundi wasekholejini uyayiqonda intlungu ezayo ngokwenza uvavanyo abangazange balufunde kakuhle. Le yindlela zonke izifundo zecalculus ezinokuziva ngayo ukuba awubuyeli kwibhodi yokuzoba.

Xa uthatha ixesha lakho ukuqonda icalculus, uyaqonda ukuba indlela enxulumana ngayo nezihloko ngendlela egoba ingqondo intle. Emva kokuba uqonde izinto ezisisiseko, uqala ukujonga iingxaki njengethuba lokudlala ngamanani.

I-Calculus luqeqesho olukhanyisayo, kwaye nasi isikhokelo senyathelo nenyathelo lokukunceda ukuba usiqonde.

1. Qala ngezinye iindawo zemathematika ezisisiseko

Ekubeni i-calculus ilisebe lemathematika, ithetha ukuyiqonda; kuqala kufuneka uqonde iziseko zezibalo. Eminye yeminye imimandla yezibalo enxulumene nokubala ekufuneka uye kuyo ibandakanya;

Arithmetic

Eli sebe lezibalo lijongene nemisebenzi yezibalo.

IAlgebra

IAlgebra ikufundisa ngamaqela kunye neeseti.

Trigonometry

Eli sebe ligubungela yonke into malunga neempawu zonxantathu kunye nezangqa.

Geometri

Apha uya kufunda malunga neempawu zazo zonke iimilo.

2. Qonda iinxalenye zeCalculus

Ngoku uqonda onke amasebe ezibalo anxulumene necalculus, ungajonga ngoku kwiziseko zeli sebe. Kule can, uya kufunda malunga namacandelwana aphambili, okt, i- integral calculus kunye necalculus eyahlulayo.

I-Calculus, ngokubanzi, luphononongo lokuqokelela, utshintsho, kunye nesantya sotshintsho, oluvakala lunzima, kodwa lulula ngokwenene.

3. Funda iifomula zokubala

I-Integral kunye ne-derivative calculus zineefomyula ezisisiseko ezikunceda ukuba ujonge amasuntswana anzima kolu qeqesho. Qaphela ukuba kwifomula nganye, kufuneka ufunde nobungqina obufanelekileyo.

Xa usenza njalo, ukuphatha imibuzo yesicelo kuba lula kuba uyayiqonda indlela ebaleka ngayo ifomula.

4. Funda malunga nemida

Kwi-calculus, umsebenzi onzima unokusombululwa xa ufumana umda wawo. Imida yokusebenza entsonkothileyo yenza ukucacisa umsebenzi kube lula kuba ufumana ukusombulula zonke iindawo ezincinci.

5. Funda iTheorm esisiseko yekhalculus

Oku kubaluleke kakhulu kuba awukwazi ukuqonda imisebenzi entsonkothileyo ukuba awuzazi iithiyori ezisisiseko zokubala. Iithiyori ezisisiseko zokubala zikufundisa ukuba ulwahlulo kunye nokudityaniswa kuphambene omnye komnye.

funda njani ukuba ungaphazanyiswa ngelixa ufunda.

6. Ziqhelanise neengxaki zokubala

Nje ukuba uhambe kuzo zonke iziseko, lixesha lokuvavanya ulwazi lwakho ngokusombulula iingxaki zokubala. Qinisekisa ukuba ukhetha iindidi ezininzi zeengxaki ezikuvumela ukuba usebenzise zonke iingxaki zokubala.

Xa ubambekile ekusombululeni umsebenzi, qiniseka ukuba udibana nabanye abafundi. Isenokungabonakali ngathi okwangoku, kodwa ezi nzame zincinci ziqinisekisa ukuba ufumana ibakala elingaphezulu komndilili ekupheleni kwesemester.

Qinisekisa ukuba usuku aludluli ungakhange uziqhelanise neengxaki zokubala kuba ukuziqhelanisa kwenza ugqibelele.

Inqaku elingeMizekeliso

Uninzi lwemizekelo kwicalculus isekwe kwiikhonsepthi zefiziksi, nto leyo iyinto entle kuye nabani na owenza i-physics. Nangona kunjalo, kunokuthetha ingxaki kuye nabani na onengxaki yefiziksi.

Oku kuthetha ukuba kufuneka uphucule ulwazi lwakho lwefiziksi ukuze ugqwese kwicalculus. Umzekelo, uyayazi i-equation ye velocity yento? Ukuba awukwazi ukuphendula oku ukusuka phezulu kwentloko yakho, kufuneka ubuyele kwibhodi yokuzoba.

Kungcono, ukuqala, imizekelo yefiziksi phambi kokuba ungene kwi-calculus. Qinisekisa ukuba usebenzisa imizekelo ebonwayo njengoko benza iikhonsepthi zokuqonda zibe lula.

7. Phinda ujonge iiConcepts zakho

Oku kubaluleke kakhulu kuba akukho mntu ukhuselekile ekulahlekelweni yinkumbulo. Ukuba awuqinisekanga nge-100%, qiniseka ukuba uphinda ujonge iikhonsepthi zakho. Lo ngumahluko phakathi kokucinga ukuba iphepha kulula kwaye ngokwenene ukufumana amanqaku abalaseleyo xa iziphumo zibuya.

Nje ukuba ufunde ingqikelelo, qiniseka ukuba ujonga kabini malunga nokwenza iimpazamo ezixabisa kakhulu xa usenza isabelo okanye uviwo lokuhlala. Qinisekisa ukuba wenza ixesha lokujonga amanqaku akho, kwaye uyawenza lo mkhwa kuba isibali asiyonto yokufunda kanye ngeveki.

Ukuba ufuna ukugqwesa, kufuneka uzimisele ngokufunda kwakho. Ungaze ube neentloni ukucela uncedo koonjingalwazi bakho. Ngapha koko, kungenxa yoko le nto besesikolweni kwasekuqaleni.

Iingcebiso ezibalulekileyo omele uzikhumbule

I-Calculus ayisiso esinye sezo zifundo onokuthi uziqonde ngaphandle komqeqeshi. Yiyo loo nto kufuneka uye kuzo zonke iintetho kwaye ubeke ingqalelo kwinto ethethwa ngunjingalwazi.

Ukuziqhelanisa ngundoqo wokugqwesa xa kufikwa kwi-calculus. Qinisekisa ukuba wenza imizekelo emininzi kangangoko unako kwaye ufune uncedo xa ubambekile.

Soloko uqala ngeziseko zezinto eziphuma kwi-derivatives ngalo lonke ixesha uzama ukubala umsebenzi wokubala.

Ukugqibela kokucinga

I-calculus isenokubonakala ngathi sisifundo esintsonkothileyo xa usijonga nje, kodwa xa uzimisele ngokufunda, uye uqonde ukuba yonke loo nto iyavakala. Ke impendulo yendlela yokufunda icalculus ngokulula inikwe apha kule mihlathi ingasentla.

Qinisekisa ukuba uziqhelanisa nokuba nengxaki enye ye-calculus suku ngalunye ukupolisha izakhono zakho zokusombulula iingxaki. Khumbula ukuba oonjingalwazi basesikolweni ukukunceda xa ubambekile, ngoko ungaze ube neentloni ukubuza imibuzo. Ngapha koko, le yindlela ofunda ngayo.