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Lecture
Complex Numbers: Polar Form
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Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Complex Numbers: Operations and Properties
Explores complex numbers, including modulus, conjugation, and Euler formula.
Absolute Value and Complex Numbers
Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.
Complex Numbers: Introduction and Operations
Covers the introduction and operations of complex numbers in physics and engineering applications.
Complex Numbers: Polar Form
Explains the polar form of complex numbers and Euler's formula in the complex plane.
Complex Numbers: Roots and Equations
Explores complex numbers, roots, equations, and polynomial factorization with real coefficients.
Complex Numbers: Representation and Properties
Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.
Euler's Formula Demonstration
Covers the demonstration of Euler's formula and its applications.
Complex Numbers: Polar Form, Powers, Roots
Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.