Text: MATH 609,  Numerical Analysis (by David Kincaid and Ward Cheney),  Publisher: Brooks/Cole Publishing Company , ISBN: 0-534-33892-5.

Course Outline:

      Solution of nonlinear equations
     Methods for Solving  Systems of Linear Equations
     Approximation
     Numerical Differentiation and Integration
     Integration using Monte Carlo techniques
     Numerical methods for Ordinary Differential Equations (ODE)
     Numerical methods for Stochastic Differential equations (SDE)

TENTATIVE SYLLABUS

       Week 1  Chapter 1,2,3 (2.2,2.3; 3.1)

     Week 2  Chapter 3,4  (3.2, 3.3, 3.4, 3.6, 4.1, 4.2 )

     Week 3  Chapter 4 (4.2,4.3, 4.4)

     Week 4  Chapter 4 (4.6,  4.7)

     Week 5  Chapter 5 and 6 (5.1, 5.2, 5.3,   6.1)

     Week 6  Chapter 6 (6.1., 6.2, 6.3., 6.4, 6.8)

     Week 7  Chapter 6 (6.8, 6.12, 6.13 ) and  7 (7.1, 7.2)

     Week 8  Chapter 7

     Week 9 Chapter 7 and Monte Carlo quadrature (material will be distributed)

     Week 10 Monte Carlo quadrature (material will be distributed), Chapter 8

     Week 11 Chapter 8

     Week 12 Chapter 8

     Week 13  Chapter 8

     Week 14 

     Week 15