Sisitimu Yenhamba Chaiyo Sisitimu yenhamba chaiyo ndeimwe yepfungwa dzakakosha mumasvomhu, inoshandiswa kuratidza huwandu hwese hwatinosangana nahwo muhupenyu hwezuva nezuva, kubva pakureba nehuremu kusvika pakupisa kusvika pakumhanya nenguva. Nhamba chaidzo dzinoumba hwaro hwemapazi akasiyana-siyana emasvomhu akadai sealgebra, geometry, calculus, uye statistics, uye ndiwo mutauro mukuru we… Verenga zvakawanda
Mafungiro Akasarudzika muMasvomhu Masvomhu anowanzoonekwa semuunganidzwa wemafomula nekuverenga, asi pasi pawo pane nyika yakapfuma, yakanaka, uye dzimwe nguva inoshamisa yemazano. Imwe mhando ye "mashiripiti" mumasvomhu idzidziso: chirevo chinoratidzwa chechokwadi kuburikidza nepfungwa dzakasimba. Zvisinei, haasi mafungiro ese akagadzirwa akaenzana. Mamwe mafungiro anoonekwa seakasarudzika nekuti mhedzisiro yawo inoita se... Verenga zvakawanda
Nheyo dzedzidziso dzeSet Dzidziso yeset ndeimwe yenheyo dzakakosha dzemasvomhu emazuva ano. Inenge bazi rega rega remasvomhu—kubva paalgebra nekuongorora kusvika pakufungidzira uye nhamba kusvika kusainzi yekombuta—rinoshandisa pfungwa yemaseti kutsanangura zvinhu, kuvaka maumbirwo, uye kuvaka nharo dzine musoro. Kunzwisisa nheyo dzedzidziso dzeset kunoita kuti zvive nyore kudzidza pfungwa dzepamusoro dzemasvomhu, sezvo tsananguro dzakawanda dzepamutemo dzinotanga ne... Verenga zvakawanda
Chimiro cheCanonical cheQuadratic Equations Quadratic equations ndeimwe yenyaya dzakakosha mualgebra nekuti dzinowanzoonekwa mumasvomhu echikoro uye mashandisirwo adzo musainzi, economics, uye engineering. Kazhinji, quadratic equation iequation yepolynomial yedhigirii rechipiri inogona kunyorwa se: \[ ax^2 + bx + c = 0 \] na \(a \neq 0\), uye \(a\), … Verenga zvakawanda
Mashandisirwo eCalculus muBiology Calculus inowanzoonekwa sebazi remasvomhu, rakasiyana zvikuru nehupenyu hwezuva nezuva. Zvisinei, mubiology—kudzidza zvinhu zvipenyu nemaitiro azvo—calculus chishandiso chakakosha chekunzwisisa shanduko, kufanotaura maitiro ehurongwa hwezvinhu zvipenyu, uye kuyedza fungidziro nehuwandu. Sezvo biology yemazuva ano ichichinja ichienda kune nzira dzinotungamirirwa nedata uye dzinotungamirirwa nemodeli, calculus… Verenga zvakawanda
Kuwanda kweDot muVectors Kuwanda kweDot (kunowanzonzi chigadzirwa chedot kana chigadzirwa chescalar) ndeimwe yemabasa akakosha muvector masvomhu. Kunowanikwa kakawanda mufizikisi, engineering, statistics, computer science (semuenzaniso, machine learning), uye kunyange computer graphics. Kusiyana nekuwanda kwenguva dzose, uko kunogadzira nhamba kubva panhamba mbiri, kuwanda kwedot kunotora mbiri… Verenga zvakawanda
Zvinhu Zvinoumba Nhamba muAlgebra Mumasvomhu, kunyanya mualgebra, izwi rekuti factor ipfungwa yakakosha zvikuru. Zvinhu hazvina chekuita nekukamurwa kwenhamba chete, asi zvinoshandawo sehwaro hwekurerutsa matauriro ealgebra, kuverenga mapolynomials, kugadzirisa maequations, uye kunzwisisa mapatani enhamba. Chinyorwa chino chinotsanangura zvizere zvinhu zvinoumba nhamba mualgebra, kutanga netsanangudzo yechinhu, ... Verenga zvakawanda
Kuverenga Nzvimbo Yepamusoro yeSphere Sphere ndeimwe yemaumbirwo ejometri atinosangana nawo muhupenyu hwezuva nezuva. Chimiro chayo chinoonekwa muzvinhu zvakasiyana-siyana, kubva kumabhora enhabvu nemabhuru kusvika kumabasketball nemapuraneti nenyeredzi. Mumasvomhu, sphere ine hunhu hwakasiyana nekuti mapoinzi ese ari pamusoro payo akaenzana kubva panzvimbo imwe chete yepakati. Chinhu chimwe chakakosha… Verenga zvakawanda
Mapoka ePolar muGeometry Mu geometry, matauriro atinoita nzvimbo yepoinzi ndiwo anonyanya kuratidza kuti tinonzwisisa sei maumbirwo, madaro, maenga, uye hukama pakati pezvinhu. Sisitimu yecoodineti inozivikanwa zvikuru ndiyo Cartesian coodine system, iyo inoshandisa pair \((x, y)\) kumiririra nzvimbo yepoinzi mundege. Zvisinei, kune mamwe masisitimu anowanzo kuve echisikigo mumamiriro ezvinhu anosanganisira… Verenga zvakawanda
Kutsiva Trigonometric Integrals Integrals ipfungwa huru mukuverenga, inoshandiswa kuverenga nzvimbo, huwandu hwezvakasimba zve revolution, urefu hwema curve, uye matambudziko akasiyana-siyana efizikisi akadai sebasa nesimba. Mukuita, hazvisi zvese zvinobatanidzwa zvinogona kugadziriswa zvakananga. Kune mamwe ma integrals anoita se "asina magumo" kana uchishandisa chete mitemo yekutanga yekubatanidza. Apa ndipo... Verenga zvakawanda