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Lecture
Complex Numbers: Argument and Polar Method
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Complex Numbers: Polar Form and Multiplication
Covers the polar form of complex numbers and its advantages in multiplication.
Complex Numbers: Applications and Representations
Explores the origin, applications, and representations of complex numbers in crystallography and materials science, including their graphical, polar, and exponential forms.
Complex Eigenvalues Appendix
Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.
Complex Numbers: Representations and Rotations
Explores the representation and rotation of complex numbers in the complex plane.
Complex Numbers: Representation and Properties
Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.
Riemann Sums and Definite Integrals
Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.
Linear Algebra Basics
Covers the basics of linear algebra, including solving equations and understanding systems of linear equations graphically.
Complex Numbers: Operations and Representations
Explores complex numbers, their operations, and representations in Cartesian and polar forms.