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Lecture Notes

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• Set number 5 : Full size: PDF.   Reduced: PDF .   Posted on: Mon Oct 6 09:34:28 AM CDT 2025
  Topics: Concepts in floating point arithmetic; Error analysis Forward and backward errors; Errors in inner products; Application to linear systems.
      Supplement: Solutions to exercises and more. PDF    

• Set number 4 : Full size: PDF.   Reduced: PDF .   Posted on: Wed Sep 24 05:48:10 PM CDT 2025
  Topics: Solving Linear Systems; Background; Gaussian Elimination (review); The LU factorization; LU with Pivoting.
      Supplement: Solutions to exercises and more. PDF    

• Set number 3 : Full size: PDF.   Reduced: PDF .   Posted on: Mon Sep 15 07:15:55 PM CDT 2025
  Topics: Inner products and norms; Vector norms; Convergence of vector sequences; Matrix norms.
      Supplement: Solutions to exercises and more. PDF    

• Set number 2 : Full size: PDF.   Reduced: PDF .   Posted on: Tue Sep 9 03:38:40 PM CDT 2025
  Topics: Matrices. Types of matrices. Matrices with structure; Special Matrices (Vandermonde, Toeplitz, Circulant, ..); Introduction to tensors.
      Supplement: Solutions to exercises and more. PDF    

• Set number 1 : Full size: PDF.   Reduced: PDF .   Posted on: Tue Sep 2 09:54:15 AM CDT 2025
  Topics: Introduction; Types of problems seen in this course ; Math. background; Matrices; Eigenvalues and eigenvectors; Null space and range; Rank; Types of matrices; Special matrices. Review of determinants.
      Supplement: Solutions to exercises and more. PDF