📚 Izakhiwo Zedatha kanye nama-Algorithms (Ushicilelo luka-2025–2026) liyincwadi yesilabhasi ephelele eyenzelwe i-BSCS, i-BSIT, izitshudeni Zobunjiniyela Besoftware, abahleli bezinhlelo abaqhudelanayo, abathuthukisi bezinhlelo zesoftware, nabafundi abazifundelayo abafuna ukuba yingcweti yobuciko bokubhala amakhodi, ukuxazulula izinkinga, nokwenza kahle. Lolu hlobo luhlanganisa ama-MCQ, kanye nemibuzo yokuhlinzeka kokubili indlela yezemfundo nesebenzayo yokuqonda izakhiwo zedatha nama-algorithms.
Incwadi ihlanganisa kokubili ithiyori nokusebenza, isiza abafundi ukuthi bahlole ukuthi idatha ihlelwa, igcinwe, futhi isetshenziswe kanjani kahle. Ihlanganisa ama-arrays, izitaki, imigqa, izinhlu ezixhunyiwe, izihlahla, amagrafu, i-hashing, i-recursion, ukusesha, ukuhlunga, kanye namasu okuklama kwe-algorithm ukuqinisa amakhono okuhlaziya nezinhlelo. Abafundi bazophinda bathole imininingwane ngobunkimbinkimbi be-algorithm, amasu okuthuthukisa, kanye nokusetshenziswa komhlaba wangempela kwe-DSA.
📂 Izahluko Nezihloko
🔹 Isahluko 1: Isingeniso Sezakhiwo Zedatha
– Yiziphi Izakhiwo Zedatha?
- Isidingo kanye Nokubaluleka Kwezakhiwo Zedatha
- Izinhlobo zedatha ye-Abstract (ADT)
- Izinhlobo Zezakhiwo Zedatha: I-Linear vs Non-Linear
– Real-life Izicelo
🔹 Isahluko 2: Izinhlu
– Incazelo kanye nokumelwa
- Imisebenzi: Ukudlulisa, Ukufaka, Ukususwa, Ukusesha
- I-Multi-dimensional Arrays
- Izicelo ze-Arrays
🔹 Isahluko 3: Izitaki
– Incazelo kanye Imiqondo
- Ukusebenza Kwesitaki (Push, Pop, Peek)
- Ukuqaliswa usebenzisa i-Arrays kanye nohlu oluxhunyiwe
– Izicelo: Expression Evaluation, Function Calls
🔹 Isahluko 4: Olayini
- Umqondo kanye nokusebenza okuyisisekelo
- Izinhlobo zolayini: Ulayini olula, umugqa oyindilinga, i-Deque
- Ukuqaliswa usebenzisa i-Arrays kanye nohlu oluxhunyiwe
– Izicelo
🔹 Isahluko 5: Imigqa Ebalulekile
– Umqondo Wokubalulekile
– Izindlela Zokusebenzisa
– Izicelo
🔹 Isahluko 6: Uhlu Oluxhunyiwe
- Uhlu Oluxhumene Ngalodwa
- Uhlu Oluxhunywe Kabili
– Uhlu Oluxhumene Oluyisiyingi
– Izicelo
🔹 Isahluko 7: Izihlahla
- I-Basic Terminology (Nodes, Root, Height, Degree)
– Kanambambili Izihlahla
- Izihlahla Zokucinga kanambambili (BST)
- I-Tree Traversals (I-oda, i-oda langaphambilini, i-Postorder)
- Izihlahla Ezithuthukile: Izihlahla ze-AVL, Izihlahla ze-B
🔹 Isahluko 8: Amagrafu
- Amagama wegrafu (Ama-Vertices, ama-Edges, iDegree, Izindlela)
- Ukumelwa kwegrafu: I-Adjacency Matrix & Uhlu
- I-Graph Traversals: BFS, DFS
- Izicelo zamagrafu
🔹 Isahluko 9: Ukuphindaphinda
- Umqondo wokuphindaphinda
- Ukuphindaphinda okuqondile nokungaqondile
- I-Recursive Algorithms (Factorial, Fibonacci, Towers of Hanoi)
– Izicelo
🔹 Isahluko 10: Ukusesha ama-Algorithms
– Ukusesha ngomugqa
– Ukucinga kanambambili
– Amasu okusesha athuthukile
🔹 Isahluko 11: Ukuhlunga Ama-Algorithms
- Ukuhlunga Kwebhamuza, Ukuhlunga Okukhethiwe, Hlunga Lokufaka
- Hlanganisa Ukuhlunga, Ukuhlunga Okusheshayo, Ukuhlunga Kwenqwaba
– Ukusebenza Ukuqhathanisa
🔹 Isahluko 12: Hashing
- Umqondo we-Hashing
- Imisebenzi ye-Hash
– Ukungqubuzana kanye Nokungqubuzana Resolution Techniques
– Izicelo
🔹 Isahluko 13: Amasu Okugcina Nokubuyisa
- Imibono Yesitoreji Sefayela
– Isitoreji Esinenkomba
– Izisekelo Zokuphatha Inkumbulo
🔹 Isahluko 14: I-Algorithm Complexity
- Isikhathi Esiyinkimbinkimbi (Okuhle kakhulu, Okubi Kakhulu, Okumaphakathi)
– Space Complexity
– Big O, Big Ω, Big Θ Amanothi
🔹 Isahluko 15: I-Polynomial kanye ne-Intractable Algorithms
- I-Polynomial Time Algorithms
- Izinkinga ze-NP-Complete kanye ne-NP-Hard
– Izibonelo
🔹 Isahluko 16: Izigaba zama-algorithms asebenzayo
- Izimpawu zama-algorithms asebenzayo
– Case Studies
🔹 Isahluko 17: I-algorithm Design Techniques
- Hlukanisa futhi Unqobe
– Dynamic Programming
- Ama-algorithms wokuhaha
🌟 Kungani Ukhetha Le Ncwadi?
✅ Imboza isilabhasi ye-DSA ephelele ye-BSCS, BSIT, kanye Nobunjiniyela Besoftware
✅ Kufaka phakathi ama-MCQ, imibuzo, nezinhlelo zokusebenza
✅ Iqinisa ukulungiselela ukuhlolwa, umsebenzi wephrojekthi, kanye nezinhlelo zokuncintisana
✅ Yakha isisekelo esiqinile kumbono, ukubhala ngekhodi, kanye nokuxazulula izinkinga
✅ Ilungele abafundi, abathuthukisi, kanye nokulungiselela inhlolokhono
✍ Le ncwadi igqugquzelwe ababhali:
UThomas H. Cormen (CLRS), uDonald Knuth, uRobert Lafore, uMark Allen Weiss
📥 Landa Manje!
I-Master Data Structures kanye nama-Algorithms anohlelo luka-2025–2026 futhi ukhuphule izinga lakho lokuhlela, ukuthuthukiswa, kanye namakhono okuxazulula izinkinga.
Kubuyekezwe ngo-
Okt 5, 2025