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 