Course Introduction Lecture 1: Four Special Matrices Recitation 1: Key Ideas of Linear Algebra Lecture 2: Differential Eqns and Difference Eqns Lecture 3: Solving a Linear System Lecture 4: Delta Function Day Recitation 2 Lecture 5: Eigenvalues (Part 1) Lecture 6: Eigen Values (part 2) and Positive Definite (part 1) Lecture 7: Positive Definite Day Lecture 8: Springs and Masses Recitation 3 Lecture 9: Oscillation Recitation 4 Lecture 10: Finite Differences in Time Lecture 11: Least Squares (part 2) Lecture 12: Graphs and Networks Recitation 5 Lecture 14: Exam Review Lecture 13: Kirchhoff's Current Law Recitation 6 Lecture 15: Trusses and A^(T)CA Lecture 16: Trusses (part 2) Lecture 17: Finite Elements in 1D (part 1) Recitation 7 Lecture 18: Finite Elements in 1D (part 2) Lecture 19: Quadratic/Cubic Elements Lecture 20: Element Matrices; 4th Order Bending Equations Recitation 8 Lecture 21: Boundary Conditions, Splines, Gradient, Divergence Recitation 9 Lecture 22: Gradient and Divergence Lecture 23: Laplace's Equation Lecture 25: Fast Poisson Solver (part 1) Lecture 24: Laplace's Equation (part 2) Lecture 27: Finite Elements in 2D (part 2) Lecture 26: Fast Poisson Solver (part 2); Finite Elements in 2D Recitation 10 Lecture 28: Fourier Series (part 1) Lecture 29: Fourier Series (part 2) Recitation 11 Lecture 30: Discrete Fourier Series Lecture 31: Fast Fourier Transform, Convolution Recitation 12 Lecture 32: Convolution (part 2), Filtering Lecture 33: Filters, Fourier Integral Transform Lecture 34: Fourier Integral Transform (part 2) Recitation 13 Lecture 35: Convolution Equations: Deconvolution Lecture 36: Sampling Theorem