Linear Algebra and Differential Equations

Spring 2004

linear.pdf -- Lecture 1: Linear Equations

gaussjordan.pdf -- Lecture 2: Gauss-Jordan Elimination

onlinear.pdf -- Lecture 3: On Linear Equations

lineartrafo.pdf -- Lecture 4: Linear Transformations

geometry.pdf -- Lecture 5: Linear Transformations in Geometry

inverse.pdf -- Lecture 6: The Inverse

matrix.pdf -- Lecture 7: Matrix Product

imagekernel.pdf -- Lecture 8: Image and Kernel

basis.pdf -- Lecture 9: Basis

Dimension.pdf -- Lecture 10: Dimension

coordinates.pdf -- Lecture 11: Coordinates

orthogonal.pdf -- Lecture 12: Orthogonality

gramschmidt.pdf -- Lecture 14: Gram-Schmidt Orthogonalization

orthomatrix.pdf -- Lecture 15: Orthogonal Matrices and orthogonal projections

linearfitt.pdf -- Lecture 16: Fitting of data

coast.pdf -- The Dimension of the Mass Coast Line

determinant.pdf -- Lecture 17: Determinant

determinant2.pdf -- Lecture 18: Determinant II

eigenvalues.pdf -- Lecture 20: Computing Eigenvalues (and Markov Processes)

eigenvectors.pdf -- Lecture 21: Computing Eigenvectors

diagonalization.pdf -- Lecture 22: Diagonalization

complex.pdf -- Lecture 23: Complex Eigenvalues

stability.pdf -- Lecture 24 Stability

symmetric.pdf -- Lecture 25: Symmetric Matrices

dynsys.pdf -- Lecture 26: Continuous Dynamical Systems I

dynsys2.pdf -- Lecture 27: Continuous Dynamical Systems II

nonlinear.pdf -- Lecture 28: Nonlinear Systems

functionspace.pdf -- Lecture 29: Function Spaces/Linear Maps

fourier1.pdf -- Lecture 30: Differential Equations

fourier2.pdf -- Lecture 31: Fourier Series

heat.pdf -- Lecture 32: Heat and Wave Equation

laplace.pdf -- Lecture 33: Laplace Equation