Concept
Coefficient
Related lectures (79)
Solving the Quintic: Dominant Balance Analysis
Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.
Matrix Operations: Definitions and Properties
Covers matrix operations, definitions, properties, and vector operations in Rn, essential for understanding linear algebra concepts.
Linear Combinations: Vectors and Matrices
Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.
Rank of the Dual Map: Theorem 7.6
Explores Theorem 7.6 on the rank of the dual map in linear applications and delves into matrices and scalar matrices.
Equations of Heat and Fourier Transform
Covers heat equations, Fourier transforms, and variable separation methods.
Algebraic Closure of Qp
Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.
Linear Maps: Basis and Applications
Explores linear maps, basis freedom, composition, coordinates in different bases, associated matrices, and coefficients.
Taylor's Formula in Two Variables
Explores Taylor's formula in two variables, emphasizing its application and importance for functions of a single variable.
Extension of Domains
Covers extending domains, leading coefficients, and valid extensions.
Linear Equations and Matrices
Explores linear equations, matrices, and the Gauss-Jordan algorithm for efficient system solving.