Math 475A - 2 Dec 10
Page 1 of 3 - Dec 2, 2010
Final Exam:
1-2 Problems from each exam, Newtons Method and Local Contraction
Theorem to check x(n+1) = g(x(n) will converge (what rate) or diverge
Solving and checking
The problem on proving uniqueness will
Math 475A - 9 Nov 10
Page 1 of 5 - Today 10:23 AM
Exam on 16 Nov 10: Ch 3 and 5
Vandermonde, Lagrange and Newton forms of interpolation
Chebyshev polynomials
Denition (cos(.), recursion relation, roots and extrema, statement and
proof of minmax theorem
Math 475A - 23 Nov 10
Page 1 of 5 - Nov 23, 2010
Final Exam: test 1,2,3 and quizzes for ch4 and 6
Chapter 4: Newton's Method and Local Contraction Mapping Theorem
Newton's method motivation was:
Convergence is given by Local Contraction Mapping Theorem
Co
Math 475A - 18 Nov 10
Page 1 of 9 - Nov 18, 2010
Homework chapter 4, hw5: 4.1, 4.10a, 4.14, 4.15, 4.16
Chapter 4: solving nonlinear systems
EX:
Three ways to approach:
Binary search (bisection in 1D)
Line search (Newton's, secant, etc)
General xed point i
Math 475A - 30 Nov 10 2
Page 1 of 5 - Nov 30, 2010
Final exam:
1) 1-2 problems from each of tests 1,2 and 3
2) Newtons method and xed point iteration as in quizzes
3) take home problem for chapter 6 (quadratures)
Chapter 6: Interpolatory Quadratures (