Complex Numbers: Sequences, Series in C, exp, sin, cos

Related lectures (28)

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Introduces fundamental concepts of Analysis I, focusing on functions of a variable and numerical sequences.

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

Explores the representation and rotation of complex numbers in the complex plane.

Provides solutions to an Analysis I exam, covering various topics.

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Covers convergence of power series, complex equations, exponential functions, and function properties.

Explores the limit of the quotient for sequences and the periodicity of functions.

Explores odd and even functions in Fourier series applications, including half-range series and cosine/sine series.

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Explores algebraic operations on Taylor expansions and the development of various functions.