Numerical Analysis (553.481/681) Spring 2025 Class Schedule (Updated 01/17/25)
Day Date Topic Notes




Tue Jan 21 B & F,Ch.1: MATHEMATICS PRELIMINARIES & ERROR ANALYSIS/1.1
Thu Jan 23 1.2 computer representation of numbers, sources & propagation of error
Fri Jan 24 Matlab Tutorial
Tue Jan 27 1.2 well-posed & well-conditioned problems, algorithms: stability & convergence
Thu Jan 29 B & F, Ch.2, SOLVING NONLINEAR EQUATIONS/2.1 bisection
Fri Jan 31 Supplement & Review Last Day to Add Courses
Tue Feb 4 2.3 Newton method & extensions
Thu Feb 6 2.2-4 Fixed-point iteration
Fri Feb 7 Supplement & Review
Tue Feb 11 2.5 Accelerating convergence, 2.4 Multiple roots
Thu Feb 13 B & F, Ch.3, POLYNOMIAL INTERPOLATION/ 3.1 Lagrange interpolation
Fri Feb 14 Supplement & Review
Tue Feb 18 3.3 Newton divided-differences, uniform grids
Thu Feb 20 3.1-3 Interpolation error, 3.4 Hermite interpolation
Fri Feb 21 Supplement & Review
Tue Feb 25 B & F, Ch.4, NUMERICAL INTEGRATION & DIFFERENTIATION
4.3 Elements of numerical integration
MIDTERM, Covers Chs.1-3
Thu Feb 27 4.4 Composite Integration
Fri Feb 28 Supplement & Review Last Day to Drop in Person
Tue Mar 4 4.5 Richardson extrapolation & Romberg integration
Thu Mar 6 4.6 Adaptive quadrature, 4.7 Gaussian quadrature
Fri Mar 7 Supplement & Review
Tue Mar 11 4.1 Numerical differentiation
Thu Mar 13 B & F, Ch.5, NUMERICAL ODE's, 5.1 Theory of initial-value problems
Fri Mar 14 Supplement & Review
Tue Mar 18 No Class Spring Break
Thu Mar 20 No Class Spring Break
Fri Mar 21 No Class Spring Break
Tue Mar 25 5.2 Euler method, 5.2-10 Convergence & stability of Euler method
Thu Mar 27 5.4 Runge-Kutta methods
Fri Mar 28 Supplement & Review
Tue Apr 1 5.5 Adaptive Runge-Kutta methods
Thu Apr 3 5.6 Multistep methods
Fri Apr 4 Supplement & Review
Tue Apr 8 5.6 Midpoint & trapezoidal methods
Thu Apr 10 5.6 PECE methods
Fri Apr 11 Supplement & Review Last Day to Withdraw or Change Grading
Tue Apr 15 5.6 Higher-order and variable-step-size multistep methods
Thu Apr 17 5.6 Multistep convergence and stability
Fri Apr 18 Supplement & Review
Tue Apr 22 5.11 Stiff differential equations
Thu Apr 24 B & F, Ch. 11, BOUNDARY-VALUE PROBLEMS, 11.2 Shooting method
Fri Apr 25 Supplement & Review Last Day of Tu-Th Classes




Tue-Fri Apr 29-May 2 READING DAYS




Wednesday May 5, 2-5 pm FINAL EXAM Comprehensive