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 1.1,1.2; 2.2,2.3; 3.1, 3.2
Week 2 3.3, 3.4,3.6; 4.1
Week 3 4.2,4.3
Week 4 4.4, 4.6
Week 5 4.6,4.7,5.1
Week 6 5.2,5.3,6.1
Week 7 6.1, 6.2, 6.3,6.4,6.8,
Regression
Week 8 Regression, 7.1, 7.2, 7.3
Week 9 7.4, 7.5 , Monte -Carlo quadrature
Week 10 Monte-Carlo quadrature (handouts distributed)
Week 11 8.1,8.2, 8.3
Week 12
Week 13
Week 14
Week 15