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Lecture
Complex Numbers: Group Morphisms and Fermat Primes
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Complex Numbers: Cartesian Representation
Covers the Cartesian representation of complex numbers and basic operations involving them.
Absolute Value and Complex Numbers
Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.
Probability and Statistics
Covers mathematical concepts from number theory to probability and statistics.
Complex Numbers: Introduction and Properties
Covers the introduction to complex numbers and their properties, including historical background and norm calculation.
Complex Numbers: Definitions and Properties
Covers the definitions and properties of complex numbers, including conjugate and modulus.
Complex Numbers: Polar Representation
Explores the polar representation of complex numbers and its applications.
Complex Numbers: Introduction and Operations
Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.
Gauss Representation
Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.
Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Complex Numbers: Representations and Rotations
Explores the representation and rotation of complex numbers in the complex plane.