Complex Numbers: Imaginary Part

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Related lectures (38)

Complex Numbers: Polar Form, Powers, Roots Log in to Mediaspace to watch this video

Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.

Complex Numbers: Definitions and Properties Log in to Mediaspace to watch this video

Covers the definitions and properties of complex numbers, including conjugate and modulus.

Complex Logarithm: Extension and Polar Form Log in to Mediaspace to watch this video

Covers the extension of the logarithm to complex numbers and explores the relationship with trigonometric functions.

Complex Numbers: Convergence, Equations, and Exponential Functions Log in to Mediaspace to watch this video

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

Python Crash Course Log in to Mediaspace to watch this video

Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.

Complex Numbers: Representation and Properties Log in to Mediaspace to watch this video

Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.

Complex Numbers: Operations and Polar Form Log in to Mediaspace to watch this video

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Complex Numbers: Applications and Representations Log in to Mediaspace to watch this video

Explores the origin, applications, and representations of complex numbers in crystallography and materials science, including their graphical, polar, and exponential forms.

Complex Numbers: Definitions and Applications Log in to Mediaspace to watch this video

Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.

Analysis I: Functions of a Variable Log in to Mediaspace to watch this video

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

Limits and Compositions Log in to Mediaspace to watch this video

Explores limits as x approaches infinity, limit theorems, and function compositions, including trigonometric limits and the binomial theorem.

Mechanics: Introduction and Calculus Log in to Mediaspace to watch this video

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Scalar Product: Geometric Properties Log in to Mediaspace to watch this video

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

Weierstrass Preparation Theorem Log in to Mediaspace to watch this video

Explores the Weierstrass Preparation Theorem for entire functions and the construction of root sequences.

Residue Theorem: Applications in Complex Analysis Log in to Mediaspace to watch this video

Discusses the residue theorem and its applications in complex analysis, including integral calculations and Laurent series.

Differential Equations: Implicit Function Theorem Applications Log in to Mediaspace to watch this video

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

Compact Sets and Extreme Values Log in to Mediaspace to watch this video

Explores compact sets, extreme values, and function theorems on bounded sets.

Laplace Transform: Basics and Properties Log in to Mediaspace to watch this video

Covers the basics of the Laplace transform, properties, and applications to LTI systems, including transfer function and frequency response.

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