77 Gagana
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Faiga Aperenitisi
10 Modules / ~100 itulau
Faiga Fa'ataulāitu
~25 Modules / ~400 itulau
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Fausia se mea na tupu

Matematika Tu'ufa'atasi
( 25 Modules )

module #1
Introduction to Discrete Mathematics
Overview of discrete mathematics, lona taua, ma le fa'aoga
module #2
Sets and Operations
Basic set operations, types of sets, and set identitys
module #3
Set Relations and Functions
Fa'atomuaga i sootaga, galuega, ma a latou meatotino
module #4
Combinatorics:Counting Principles
Basic counting principles, permutations, and combinations
module #5
Combinatorics: Recurrence Relations
Fofuaga i sootaga faifai pea ma latou applications
module #6
Numera Theory:Divisibility and Primes
Properties of integers, divisibility, and prime numbers
module #7
Number Theory:Conngruences
Fa'atomuaga i fa'atasiga, fa'atusa fa'atusa, ma fa'aoga fa'ata'otoga
module #8
Fa'afuainumera Fa'afuainumera:Vaega
Uiga ma meatotino o vaega, vaega laiti, ma homomorphisms
module #9
Fa'afuainumera Fa'afuainumera: Mama ma Fanua
Fa'amatalaga ma meatotino o mama, fanua, ma a latou fa'aoga
module #10
Graph Theory : Fa'avae
Fa'atomuaga o le kalafi, fa'auigaga fa'avae, ma fa'atusa kalafi
module #11
Kalafi Theory:Traversability
Graph traversability, Eulerian and Hamiltonian paths, and circuits
module #12
Graph Theory:Connectivity
Fa'afeso'ota'i kalafi, vaega fa'afeso'ota'i, ma fa'ata'ita'iga minimax
module #13
Aposetala Tu'ufa'atasi
Fa'atomuaga i avanoa fa'apitoa, mea e tutupu, ma avanoa avanoa
module #14
Va'aiga Fa'afuase'i Fa'apitoa
Fesuia'i fa'afuase'i tu'ufa'atasi, fa'asoa fa'alavelave, ma tau fa'amoemoeina.
module #15
La'au ma Vaomatua
Fa'atomuaga i la'au, vaomatua, ma a latou fa'aoga i su'esu'ega faakomepiuta
module #16
Lattices and Boolean Algebras
Fa'atomuaga i lattices, Boolean algebras, ma a latou talosaga
module #17
Recursion and Induction
Recursion, mathematical induction, and structural induction
module #18
Discrete Optimization
Fa'atomuaga i le fa'avasegaina tu'ufa'atasi, fa'asologa o laina, ma le numera numera
module #19
Fa'ata'ita'iga ma le Mathematics Tu'ufa'atasia
Talosaga o le tu'ufa'atasia. matematika i le komipiuta faasaienisi, networking, ma coding teori
module #20
Computational Lavelave
Fa'atomuaga i le fa'aogaina o le lavelave, taimi ma le vateatea lavelave, ma le fa'aitiitiga
module #21
Logic and Propositional Calculus
Fa'atomuaga i le manatu fa'atatau, fa'atatau. calculus, and logical operators
module #22
Predicate Logic
Introduction to predicate logic, predicates, and quantifiers
module #23
Model Theory
Fa'atomuaga i fa'ata'ita'iga a'oa'oga, fausaga, ma fa'auigaga
module #24
Fa'aoga o Mathematics Tu'ufa'atasi
Fa'aoga o le matematika tu'ufa'atasi i le lalolagi fa'akomepiuta, cryptography, ma su'esu'ega fa'amaumauga
module #25
Fa'ai'uga ma Fa'ai'uga
Fuafuaina o isi laasaga ile matata eseese ole Matematika


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