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Related lectures (30)
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Polynomial Factorization over a Field: Eigenvalues
Explores polynomial factorization over a field, emphasizing eigenvalues and irreducible components.
Euclidean Division: Uniqueness and Remainder
Explores Euclidean division for polynomials, emphasizing uniqueness of quotient and remainder.
Polynomial Factorization over Finite Fields
Introduces polynomial factorization over finite fields and efficient computation of greatest common divisors of polynomials.
Taylor Series and Riemann Integral
Explores Taylor series expansions and Riemann integrals, including limits, convergence, subdivisions, and sums.
Taylor Series of a Function
Explores the Taylor series of a function and its significance in mathematical analysis.
Taylor Polynomials and Remainders
Explores Taylor polynomials, remainders, and various function expansions around a point.
Proofs and Sets: Applications
Covers the basics of proofs, defining sets, and applications between sets.
Taylor Polynomials: Approximating Functions
Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.
Number Theory: Foundations and Applications in Cryptography
Introduces number theory and its essential applications in cryptography.
Taylor Series: Finding Remainders
Covers Taylor series, remainder order, limits, and convergence criteria in approximating functions.