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• Week 1 (Solution of a Nonlinear Equation)

• Week 2 (Systems of Linear Equations)

• Week 3 (LU Factorization with Partial Pivoting & Norms)

• Week 4 (Matrix Norms, Condition Numbers & Least Squares Problem)

• Week 5 (Simultaneous Nonlinear Equations)

• Week 6 (Newton's Method for Simultaneous Nonlinear Equations)

• Week 7 (Eigenvalues and Eigenvectors of a Symmetric Matrix)

• Week 8 (QR Algorithm to Compute Eigenvalues)

• Week 9 (Lagrange and Hermite Interpolation)

• Week 10 (Numerical Integration & Best Polynomial Approximation)

• Week 11 (Best Polynomial Approximation in the Infinity-Norm)

• Week 12 (Best Polynomial Approximation in the 2-Norm)

• Week 13 (Gaussian Quadrature)

• Week 14 (Initial Value Problems for ODEs)
  

Fall 2018, Reminders and notes used at the beginning of the lectures

• Lecture 2

• Lecture 3

• Lecture 4

• Lecture 5  ---  pseudocode for LU factorization

• Lecture 6

• Lecture 7  ---  representations of floating point numbers in computers

• Lecture 8

• Lecture 9

• Lecture 10

• Lecture 11

• Lecture 12

• Lecture 13 --- background on eigenvalues

• Lecture 14

• Lecture 15

• Lecture 16 --- pseudocode for Jacobi's method

• Lecture 17 --- computation of QR factorization

• Lecture 19

• Lecture 20

• Lecture 21

• Lecture 22

• Lecture 23

• Lecture 24

• Lecture 25

• Lecture 26

• Lecture 27 --- Taylor's thm for functions of two variables