Polynomials with Real Coefficients

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

Explores Viète's formula for finding roots of degree two polynomials and their significance.

Discusses methods for solving differential equations, focusing on undetermined coefficients and variation of constants.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers the Gauss-Wantzel Theorem and Fermat prime numbers.

Covers second degree trinomials, discriminants, Viète's formulas, and root calculations.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Explores polynomial operations, properties, and subspaces in vector spaces.

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