http://interval.louisiana.edu/courses/455/spring-2005-math-455-outline.html
Math. 455, Spring, 2005 Course Outline

Instructor: R. Baker Kearfott, Department of Mathematics, University of Louisiana at Lafayette
Office hours and telephone, Email: rbk@louisiana.edu.

This outline is a tentative guide. Problems will be assigned as the topics are covered, and will usually be due on Friday three periods after the day they are assigned. Where no section from the text book is listed, the lecture will come from supplementary material. This outline is subject to some change. 
 
        Day Section and Description

          1. 1.1, 1.2 -- Review of calculus
		  1.3 -- Computer arithmetic

          2. 1.4      -- Roundoff error
                         Interval analysis

          3.          -- Introduction to Matlab
             1.5         Computer software sources
			 (in-class demo)

          4. ---         FIRST EXAM              ---------------------

          5. 2.1, 2.2 -- The method of bisection
             2.3, 2.4 -- The secant method and Newton's method

          6. 2.5      -- Error analysis
                         Interval Newton methods

          7. 2.6 and  -- Software
             supplement

          8. ---         SECOND EXAM        --------------------------

          9. 3.1         Review of Taylor polynomials
                         Interval enclosures

         10. 3.2      -- Lagrange interpolation
             3.4      -- Hermite interpolation

         11. 3.3      -- Divided differences

         12. 3.5      -- Spline interpolation
             3.6      -- Parametric curves

         13. ---         THIRD EXAM         --------------------------

         14.          -- Review of the definition of integral
             4.2      -- Basic quadrature rules

         15. 4.3      -- Composite quadrature
             4.4      -- Gaussian quadrature

         16. 4.6      -- Adaptive quadrature
                      -- Interval adaptive quadrature

         17. 4.9         numerical differentiation
                         automatic differentiation

         18. ---         FOURTH EXAM        --------------------------

         19. 5.1 and  -- Introduction to initial value problems
             supplement

         20. 5.2, 5.3 -- Taylor methods and Runge-Kutta methods
             5.4      -- Predictor-corrector methods

         21. 5.6      -- Adaptive techniques
             5.7      -- Methods for systems of equations

         22. 5.8      -- Stiff differential equations

         23. 5.9      -- Survey of software

         24. 6.1, 6.2 -- Linear systems of equations and
             6.3      -- Pivoting strategies

         25. ---         FIFTH EXAM         --------------------------

         26. 6.4      -- Linear algebra
             6.6      -- Techniques for special matrices

         27. 6.7      -- Survey of software

         28.             Review