권혜승 선생님 동영상 강의 "공학수학"

Linear Algebra • 1강 Basic Concepts and Algebraic operations for Matrices  • 2강 Linear Systems of Equations. Gauss Elimination  • 3강 Applications  • 4강 Vector Space. Linear Independence  • 5강 Rank of a Matrix  • 6강 Fundamental Theorem for linear systems  • 7강 Determinants  • 8강 Rank in terms of determinants. Cramer's Rule  • 9강 Inverse of a matrix. Gauss-Jordan Elimination  • 10강 Eigenvalues and Eigenvectors Ⅰ  • 11강 Eigenvalues and Eigenvectors Ⅱ  • 12강 Some Application of Eigenvalue Problems  • 13강 Inner Product Space  • 14강 Special Real matrices : Symmetric, Skew-symmetric and Orthogonal matrices  • 15강 Special Complex matrices : Hermitian, Skew-Hermitian and Unitary matrices  • 16강 Quadratic Form. Hermitian Form  • 17강 Similarity of Matrices. Basis of Eigenvectors  • 18강 Diagonalization. Principal Axes Theoremdf  • 19강 Marcov Chain  Vector Calculus • 1강 Vector Algebra in Space. Inner Product  • 2강 Cross Product. Scalar and Vector functions and Fields  • 3강 Vector Calculus  • 4강 Curves. Tangents. Arc length  • 5강 Gradient of a Scalar Field, Directional Derivative  • 6강 Divergence and Curl of a Vector Field  • 7강 Line Integral  • 8강 Line Integrals Independent of Path  • 9강 Exactness and Independence of Path  • 10강 Double Integrals  • 11강 Green's Theorem in the plane  • 12강 Green's Theorem: Applications  • 13강 Surfaces  • 14강 Surface Integral of Scalar Functions  • 15강 Surface Integrals of Vector Functions  • 16강 Triple Integrals. Divergence Theorem of Gauss  • 17강 Divergence Theorem: Applications  • 18강 Potential theory: The theory of solutions of Laplace’s equation  • 19강 Stokes' Theorem