MOOC
Analyse I
Lectures in this MOOC (216)
Euler and Moivre FormulasMOOC: Analyse I
Covers Euler and Moivre formulas, addition formulas, properties of exponentials, and generalizing sine and cosine definitions to complex numbers.
Complex Numbers: Polar FormMOOC: Analyse I
Covers the polar form of complex numbers, emphasizing the importance of the argument.
Complex Numbers: Polar FormMOOC: Analyse I
Showcases examples of complex numbers in polar form and their operations.
Roots of n-th DegreeMOOC: Analyse I
Covers the concept of roots of n-th degree in complex numbers and their exact solutions.
Examples: Complex NumbersMOOC: Analyse I
Covers examples related to complex numbers and their properties.
Solving Z² = W with Cartesian MethodMOOC: Analyse I
Explores solving Z² = W in the complex plane using the Cartesian method.
The Fundamental Theorem of AlgebraMOOC: Analyse I
Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.
Examples: Polynomial FactorizationMOOC: Analyse I
Covers polynomial factorization examples and polynomial division in complex numbers.
General case of degree two polynomialsMOOC: Analyse I
Explores Viète's formula for finding roots of degree two polynomials and their significance.
Real Number Sequences: IntroductionMOOC: Analyse I
Introduces real number sequences, limits, and their properties.