Complex Numbers: Introduction and Properties

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Related lectures (28)

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Real Numbers and Functions

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Complex Roots: Conjugate Pairs and Quadratic Equations

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Factorisation: Polynomials and Theorem

Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.

Linear Equations and Matrices: Solution Methods, Elementary Operations

Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.

Complex Numbers: Polar Form

Covers the polar form of complex numbers and its applications in mathematical calculations.

Sequences: Definitions and Examples

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

Complex Numbers: Polar Form and Multiplication

Covers the polar form of complex numbers and its advantages in multiplication.

Natural Logarithm: Definition and Properties

Explores the definition, properties, and limits of the natural logarithm function.

Complex Numbers: Operations and Representations

Explores complex numbers, their operations, and representations in Cartesian and polar forms.

Complex Numbers: Operations and Properties

Explores the properties and operations of complex numbers in mathematics.