Fundamental Theorem of Algebra

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Polynomials with Real Coefficients

Explores polynomials with real coefficients, complex roots, and sequences' properties.

Polynomials: Definitions and Operations

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Uniform Convergence: Series of Functions

Explores uniform convergence of series of functions and its significance in complex analysis.

Complex Numbers: Definitions and Properties

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

Analysis I Exam 2022

Covers the correction of a mock exam for Analysis I, focusing on sequences, series, and limits.

Complex exponentials: Oscillations and advantages

Explores the use of complex exponentials to simplify trigonometry and algebra in digital systems.

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Subsequences and Bolzano-Weierstrass Theorem

Covers the proof of the Squeeze Theorem, Quotient Criteria, and the Bolzano-Weierstrass Theorem.

Linear Differential Equations: Constant Coefficients and Solution Methods

Covers linear differential equations with constant coefficients and introduces the method of good choice for finding particular solutions.

Limits in Function Analysis

Introduces the concept of limits in function analysis and demonstrates their application through various examples.