lecture plan	week	강의내용
	1st	Matrices, Vectors 7.2 Matrix Multiplication 7.3 Linear Systems of Equations. Gauss Elimination 7.4 Linear Independence. Rank of a Matrix. Vector Space 7.5 Solutions of Linear Systems 7.6 Second- and Third Order Determinants
	2nd	7.7 Determinants. Cramer's Rule 7.8 Inverse of a Matrix. Gauss-Jordan Elimination 8.1 Eigenvalues, Eigenvectors 8.2 Applications
	3th	8.3 Symmetic, Skew-Symmetric, and Orthogonal Matrices 8.4 Eigenbases. Diagonalization. Quadratic Forms 1.1 Basic concepts. 1.2 Geometric meaning of direction fields 1.3 Separable ODEs
	4th	no lessons
	5th	1.4 Exact ODEs. Integrating factors 1.5 Linear ODEs. Bernoulli equation 1.6 Orthogonal trajectories 1.7 Existence and uniqueness
	6th	2.1 Homogeneous linear ODEs of second order 2.2 Homogeneous linear ODEs with constant coefficients 2.3 Differential operator 2.4 Modeling: Free Oscillations 2.5 Euler-Cauchy equation 2.6 Existence and uniqueness: Wronskian
	7th	2.7 Nonhomogeneous ODEs 2.8 Modeling: Forced Oscillations 2.9 Modeling: Electric circuits 2.10 Solution by variation of parameters
	8th	3.1 Homogeneous linear ODEs 3.2 Homogeneous linear ODEs with constant coefficients 3.3 Nonhomogeneous linear ODEs
	9th	4.1 Systems of ODEs as models 4.2 Basic theory of systems of ODEs 4.3 Constant-coefficient systems. Phase plane method 4.4 Criteria for critical points. Stability
	10th	4.5 Qualitative methods for nonlinear systems 4.6 Nonhomogeneous linear systems of ODEs
	11st	5.1 Power series method 5.2 Theory of the power series method
	12nd	5.3 Legendre's equation 5.4 Frobenius method 5.5 Bessel's Equation 5.6 Bessel's functions of the second kind 5.7 Sturm-Liouville problems. Orthogonal functions 5.8 Orthogonal eigenfunction expansions
	13th	6.1 Laplace transform, Inverse transform 6.2 Transforms of derivatives and integrals 6.3 Unit step function. t-shifting 6.4 Short Impulses. Dirac's delta function. Partial fractions
	14th	6.5 Convolution. Integral equations 6.6 Differentiation and integration of transforms 6.7 Systems of ODEs
	15th	no lessons