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Related lectures (30)
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Euclid and Bézout: Algorithms and Theorems
Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.
Derivability and Chain Rule
Covers the demonstration of the chain rule and the theorem of Rolle.
Linear Algebra: Matrices and Inverses
Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.
Linear Algebra: Applications and Definitions
Explores linear algebra concepts, mappings between sets, unique element matches, and reciprocal functions.
Cyclotomic Extensions: Norms, Ideals, and Primes
Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.
Derivatives and Continuity
Covers derivatives, continuity, and reciprocal functions with examples of exponential and trigonometric functions.
Functions: Elementary Functions
Covers elementary functions like tan(x), sin(x), and cos(x) along with trigonometric identities and Pythagorean theorem.
Powers, Roots, etc.: Calculation Rules
Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.
Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Exponential Function: Properties and Definitions
Explores the properties and definitions of the exponential function and its relation to the natural logarithm.