Amagrafu Omsebenzi Wokuchaza Imisebenzi Yokuchaza ingenye yemiqondo ebaluleke kakhulu kwizibalo, ikakhulukazi i-algebra kanye ne-calculus, ngoba ingalingisa izimo ezahlukahlukene ezikhula ngokushesha noma zibole kancane kancane. Sihlangana nazo ekukhuleni kwabantu, ekusabalaleni kwamagciwane, entshisakalweni ehlanganisiwe kwezomnotho, ekuboleni kwezinto ezinemisebe, ngisho nasezinqubweni zokupholisa. Ukuze uqonde ngempela imisebenzi yokuchaza, … Funda kabanzi
Umqondo Wokuguqulwa Kwe-Fourier Ukuguqulwa Kwe-Fourier kungenye yemiqondo ebaluleke kakhulu kwizibalo ezisetshenzisiwe, i-physics, kanye nobunjiniyela. Umqondo wayo oyisisekelo ulula kodwa unamandla: izinto eziningi ezibonakala ziyinkimbinkimbi endaweni yesikhathi (noma isizinda sesikhala) empeleni zingaqondakala kangcono uma sizibheka njengenhlanganisela yamagagasi alula endaweni yemvamisa. Ngamanye amazwi, i-Fourier Transform… Funda kabanzi
Ziyini izilinganiso zomehluko ongaphelele? Izilinganiso zomehluko ongaphelele (ama-PDE) ziyisihloko esibalulekile ezibalweni ezisetshenziswayo, ezisetshenziswa kabanzi ukulingisa izimo zemvelo ezahlukahlukene kanye nezinqubo zobunjiniyela. Uma sifuna ukuqonda ukuthi izinga lokushisa lisakazeka kanjani entweni, ukuthi amagagasi asakazeka kanjani entanjeni, noma ukuthi uketshezi lugeleza kanjani… Funda kabanzi
Indlela Ye-Trapezoidal Ekuhlanganiseni Ezibalweni ezisetshenziswayo, sivame ukubhekana nenkinga yokubala indawo ngaphansi kwejika. Ngokwethiyori, lokhu kungaxazululwa kusetshenziswa ama-integral aqondile. Kodwa-ke, empeleni, akuwona wonke umsebenzi ohlanganiswa kalula ngokuhlaziya. Eminye imisebenzi iyinkimbinkimbi, idatha itholakala kuphela ngesimo sethebula, noma amamodeli awanazo izinto ezilwa nokuvuvukala… Funda kabanzi
I-Fundamental Theorem of Calculus Calculus ivame ukuqondwa njengolimi "oluchaza ushintsho kanye nokuqongelela. Ngakolunye uhlangothi, sifunda ama-derivatives ukuze silinganise izinga lokushintsha komsebenzi. Ngakolunye uhlangothi, sifunda ama-integrals ukuze sibale ukuqongelela, njengendawo engaphansi kwejika noma isamba "esiqhubekayo" senani. I-Fundamental Theorem of Calculus (FTC) iyibhuloho elikhulu eli… Funda kabanzi
Ukusebenzisa I-Graphing Calculator I-graphing calculator iyithuluzi lokufunda izibalo eliwusizo kakhulu, ikakhulukazi lapho libhekene nemisebenzi, ama-equation, kanye nedatha. Ngokungafani ne-calculator evamile, ekhombisa kuphela umphumela wokugcina, i-graphing calculator ingabonisa ukumelwa okubonakalayo ngesimo segrafu, okuvumela abasebenzisi ukuthi baqonde ubudlelwano phakathi kweziguquguquko ngendlela enembile. Lesi sihloko sizoxoxa… Funda kabanzi
Izinhlelo Zezilinganiso Eziqondile Ezinguqukweni Ezintathu Izinhlelo zezilinganiso eziqondile ezinguqukweni ezintathu ziyisihloko esibalulekile kwizibalo, ikakhulukazi i-algebra, futhi zivame ukusetshenziselwa ukwenza imodeli nokuxazulula izinkinga ezahlukahlukene zomhlaba wangempela. Ngokungafani nezilinganiso eziqondile ezinguqukweni eyodwa noma ezimbili, lezi zinhlelo zihilela izinguquko ezintathu, ezivame ukukhonjiswa ngo-\(x\), \(y\), kanye no-\(z\). Umgomo oyinhloko ukuthola... Funda kabanzi
Kuyini ukuphindaphinda okuphambene? Ukuphindaphinda okuphambene kuyindlela eyisisekelo yezibalo evame ukusetshenziswa ukuxazulula izinkinga ezihilela izilinganiso kanye nezilinganiso. Nakuba kungase kuzwakale kulula, lo mqondo uwusizo kakhulu empilweni yansuku zonke—kusukela ekubaleni intengo yezimpahla, ekunqumeni ubukhulu bamamephu, ekulungiseni izindlela zokupheka, kuya ekuxazululeni izinkinga zezibalo esikoleni. Lesi sihloko… Funda kabanzi
Indlela kaLagrange ekubalwa Indlela kaLagrange iyindlela ebalulekile yokubala esetshenziswa kabanzi ukuxazulula izinkinga zokwenza ngcono, ikakhulukazi lapho umsebenzi kumele ukhuliswe noma uncishiswe ngaphansi kwezimo ezithile (izithiyo). Empilweni yangempela, izinkinga ezifana nokukhulisa inzuzo ngemali elinganiselwe, ukunciphisa izindleko zokukhiqiza ngezinsizakusebenza ezilinganiselwe, noma ukunquma umklamo osebenza kahle kakhulu nge... Funda kabanzi
Ukuqonda Impahla Ehambisanayo Ezibalweni, sivame ukuhlangana nemithetho eyisisekelo ebonakala ilula, kodwa idlala indima ebalulekile endleleni esibala ngayo, sakhe ngayo amafomula, futhi sixazulule ngayo izinkinga. Omunye umthetho obaluleke kangaka yimpahla ehambisanayo. Nakuba igama layo lingase lizwakale lobuchwepheshe, umqondo wayo empeleni uhlobene kakhulu nezibalo zansuku zonke. Le mpahla isisiza siqonde ukuthi ekusebenzeni… Funda kabanzi