《微积分》课程教学课件（Calculus）01. Preliminaries
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《数值分析》课程PPT教学课件（Numerical Analysis）Chapter 7 The numerical solution of the matrix eigenvalue problem
§1 Import the actual problem §2 The power method and inverse power method
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§1 Importing the practical problem §2 The basic iterative methods §3 Convergence of iterative methods §4 Over-relaxation iterative method
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§1 the introduction of practical problem §3 the triangular decomposition of matrixs §4 the chasing method §5 the norm of matrixs and vectors §6 the conditions and error analyses about system of linear equations §2 the gauss elimination method
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Section1 the Introduction of Practical Problem Section3 Newton—Cotes Quadrature Formula Section4 Compound Multiplicative Section2 Mechanical Quadrature Method and Algebraic Precision Section5 Romberg Quadrature Formula Section6 Gaussian Quadrature Formula Section7 Numerical Differentiation
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Section 1 Introduction Section 2 Lagrange interpolation Section 3 Deviation and Newton interpolation Section 4 Difference and Equidistant interpolation Section 5 Hermite interpolation Section 6 Piecewise low-order interpolation Section 7 Cubic spline interpolation
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Section II DichotomySection III Fixed point iteration method Section IV Newton method Section V Secant Method Section I Import of practical problem
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1 The Object and Character of Numerical Analysis 2 Computer Machine Number System and Floating Point Arithmetic 4 Qualitative Error Analysis and Avoid Error Harm 3 The Error of Numerical Analysis
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