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강의학기

2020년 1학기

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강의계획서

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Linear Algebra_01_Section 1.1: Systems of Linear Equations

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1.		Linear Algebra_01_Section 1.1: Systems of Linear Equations
		02_Part I_Section 1.2: Row Reduction and Echelon Form
		02_Part II_Section1.2: Row Reduction and Echelon Form
2.		03_Section 1.3: Vector Equations
		04_Section 14: Matrix Equations
3.		05_Sections 1.7-1.8: Linear Independence, Introduction to Linear Transformation
		06_Sections 2.1-2.5: Matrix Operations, The Inverse Matrix, Matrix Factorization
4.		07_Section 2.8: Subspace of R^n
		08_Section 2.9: Dimension and Rank
5.		09_Sections 3.1-3.2: Introduction to and Properties of Determinants
		10_Section 3.2: Properties of Determinants
6.		11_Section 3.3: Cramers Rule, Volume, Transformation, and The Big Question "What is the Determinant?"
		12_Section 5.1: Eigenvalues and Eigenvectors
7.		13_Section 5.2: The Characteristic Equation
		14_Sections 5.3, 5.6: Diagonalization, Discrete Dynamiccal Systems
8.		15_Sections 5.6, 5.7: Discrete Dynamical Systems, Aplication to Differential Equations
		16_Section 6.1: Inner Product, Length, and Orthogonality
9.		17_Section 6.2: Orthogonal Set
		18_Sections 6.3-6.4: Orthogonal Projection onto Subspace, The Gram-Schmidt Process
10.		19_Sections 6.4-6.5: The Gram Schmidt Process, Least Squares Problems and QR Factorization
		20_Sections 6.5-6.7: Least-Squares Problems and QR Factorization, Application to Linear Models
11.		21_Sections 6.7: Application to Linear Models, Problems and Solutions I
		22 Section: Problems and Solutions II
12.		23_Section: Problems and Solutions III
		24_Section: Problems and Solutions IV
13.		25_Section: Problems and Solutions V
		26_Section: Problems and Solutions VI, Semester Review I
		26_Part II : Quiz
14.		27_Semester Review II
		28_Semester Review III