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 |