CS/Math 166 -- PDF slides from class notes

CS/Math 166 -- D. C. Smolarski, S.J.
Santa Clara University, Department of Mathematics and Computer Science

All dates are for 2012.

• Week 1
• Monday, Jan 9, pp [1-1] - [1-8]. ma166lec1.pdf
  Intro. Course, Solution Strategies
• Wednesday, Jan 11, pp [2-1] - [2-11]. ma166lec2.pdf
  Representing Numbers, Errors, Horner's rule, Taylor Series.
• Friday, Jan 13, pp [2-12] - [3-2]. ma166lec3.pdf
  Iterative Algorithms, Convergence Rates, Condition of a Probl., Intro. Root Finding
• Week 2
• Monday, Jan 16, Martin Luther King Holiday -- no classes.
• Wednesday, Jan 18 pp [3-3] - [3-13]. ma166lec4.pdf
  Roots: Bracketing Methods, Slope Methods, Multiple roots.
• Friday, Jan 20, pp [3-14] - [4-2]. ma166lec5.pdf
  Aitken's Form., Polynomial roots, Intro. Linear Alg.
• Week 3
• Monday, Jan 23, pp [4-2] - [4-12]. ma166lec6.pdf
  Lin. Alg. Defs., Spec. Matrix Types, Analysis of Matrix Ops., Matrix Inverses.
• Wednesday, Jan 25, pp [4-13] - [4-16]. ma166lec7.pdf
  Eigenvalues and Eigenvectors, Complex Matrices, Vector and matrix norms,
• Friday, Jan 27, pp [4-16R] - [4-28]. ma166lec8.pdf
  Norms, Pos. Defin. Matrices, Solving Linear Systems, Backward Subst., Gaussian Elimination, Factorization, Cramer's Rule, Intro. Pivoting.
• Week 4
• Monday, Jan 30, pp [4-28] - [4-32]. ma166lec9.pdf
  Basic Pivoting, Partial Pivoting, Scaling, Complete Pivoting, Singular matrices, Residual.
• Wednesday, Feb 1, Midterm I
• Friday, Feb 3, Review of Midterm.
• Week 5
• Monday, Feb 6, pp [4-33] - [4-39D]. ma166lec10.pdf
  Error Measurement, Iterative Solution Methods: Jacobi, Gauss-Seidel, SOR, Conjugate Gradient.
• Wednesday, Feb 8, pp [4-39] - [4-45A]. ma166lec11.pdf
  Preconditioning, Stiefel Iteration, Finding Eigenvalues/Eigenvectors, Gerschgorin's Disk Thm., Power Method, Inverse Power Method.
• Friday, Feb 10, pp [4-45A] - [5-8]. ma166lec12.pdf
  Finding all eigenvalues, Approximations, Least Squares, Non-linear approx.
• Week 6
• Monday, Feb 13, pp [5-8] - [5-15]. ma166lec13.pdf
  Non-linear approx., interpolation, Polynomial interp., Lagrange polyn., operators, finite diff. calc.,
• Wednesday, Feb 15, pp [5-15] - [5-23]. ma166lec14.pdf
  Finite diff. calc., diff. tables, Fin. Diff. Op. and ODEs, Interpolation via F.D. Op.
• Friday, Feb 17, pp [5-23] - [5-34]. ma166lec15.pdf
  Interpolation via F.D. tables, error correction, divided differences, Newton Interp. form., Div. Diff. Interp. Form., Cubic Splines.
• Week 7
• Monday, Feb 20 -- Presidents' Day -- Holiday -- No classes.
• Wednesday, Feb 22. Midterm II

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  This page is maintained by Dennis C. Smolarski, S.J. Email: dsmolarski "at" scu.edu
  © Copyright 2012 Dennis C. Smolarski, SJ, All rights reserved.
  Last changed: Sunday, 22 January 2012.