WEEK 2 20-24 January Mon 20
Martin Luther King Holiday
Wed 22
Fri 24 Equally spaced interpolation points:
Calculus of finite differences
WEEK 3 27-31 January Mon 27 Polynomial best approximation Wed 29 Weierstrass approximation theorem Fri 31 Polynomial least squares
WEEK 4 3 - 7 February Mon 3 Numerical quadrature Wed 5 Adaptive quadrature 1ST PROBLEM SET DUE: [PostScript] [Acrobat] Fri 7 Extrapolation, Romberg integration
WEEK 5 10-14 February Time-Dependent Processes Mon 10 Examples: mechanics, chemical kinetics, Chapter 1 and electrical circuits Initial Value Problems Wed 12 Existence & uniqueness of solutions §§ 2.1, 2.4 Singularities Fri 14 Singular perturbation problems §§ 2.5-6 Differential-Algebraic problems
WEEK 6 17-21 February Condition of Initial Value Problems Mon 17 Sensitivity under Perturbations § 3.1 Wed 19 FIRST MIDTERM EXAM (In class hour exam.) Topics: Interpolation, Approximation, Quadrature, ODE Theory Exam Objectives: [PostScript] [Acrobat] Fri 21 Stability of ODE's § 3.2
WEEK 7 24-28 February Mon 24 Stability of Mappings § 3.3 SECOND PROBLEM SET DUE: [PostScript] [Acrobat] One-Step Methods for Nonstiff ODEs Wed 26 Convergence Theory § 4.1 Fri 28 Explicit Runge-Kutta Methods § 4.2
WEEK 8 3 - 7 March Mon 3 ... Wed 5 Explicit Extrapolation Methods § 4.3 Fri 7
WEEK 9 10-14 March Adaptive Control of One-Step Methods Mon 10 Wed 12 Fri 14
MARCH 17-21 ***SPRING BREAK***
WEEK 10 24-28 March One-Step Methods for Stiff ODE and DAE Mon 24 Asymptotic Stability § 6.1 Wed 26 Implicit Runge-Kutta Methods § 6.2 Fri 28 THIRD PROBLEM SET DUE: [PostScript] [Acrobat]
WEEK 11 31 March - 4 April Mon 31 Collocation Methods § 6.3 Wed 2 Linearly Implicit One-Step Methods § 6.4 Fri 4
WEEK 12 7-11 April Mon 7 SECOND MIDTERM EXAM (In class hour exam.) Topics: One-step methods for nonstiff and stiff ODEs; stepsize control. Exam Objectives: [PostScript] [Acrobat] Multistep Methods for ODE and DAE Fri 11
WEEK 13 14-18 April Fri 18 FOURTH PROBLEM SET DUE: [PostScript] [Acrobat]
WEEK 14 21-25 April
National TV Turnoff Week April 21-27
Boundary Value Problems of ODE
WEEK 15 28 April - 2 May Fri 2 FIFTH PROBLEM SET DUE: [PostScript] [Acrobat]
###MAY### EXAM WEEK 5 - 9 May Tue 6 Final Exam 9:45 - 11:45 a.m.
