MCS 471 --- Class Assignments --- Spring 1996

Homework, Computer Problems, and Examination Schedule

• Homework and Practice Problems:
  1. HomeworkProblem#0: Gerald&Wheatley Text p. 27: #11, 15, 19; due Fri 26 Jan.
  2. HomeworkProblem#1 Nonlinear Equations (Revised 2/07/96) (click here)
  3. PracticeProblems#1 Nonlinear Equations with partial answers (click here)
  4. HomeworkProblem#2 Computational Linear Algebra with Octave/Maple (click here)
  5. PracticeProblems#2 Computational Linear Algebra with partial answers (click here)
  6. PracticeProblems#3 Interpolation with partial answers (click here)
  7. PracticeProblems#4 Numerical Integration with partial answers (click here)
  8. PracticeProblems#5 Numerical Solution of ODEs with partial answers (click here)
• Computer Problems:
  1. ComputerProblem#0: Finite Precision Arithmetic (click here)
  2. ComputerProblem#1: Nonlinear Equations (click here)
  3. ComputerProblem#2: Numerical Solution of A*X=B (click here)
  4. Numerical Integration Set (CP=3 with Appendix 3a):
     • ComputerProblem#3: Numerical Integration (click here)
     • ComputerProblem#3a: Numerical Integration with trapezoid and simpson (click here)
  5. ComputerProblem#4: Numerical Solution of ODEs (click here)
• Examinations:
  1. Exam #1: Friday, February 16th on Precision and Nonlinear Equations
  2. Exam #2: Wednesday, March 20th on Computational Linear Algebra (See HomeWorkProblem#2 for topics list)
  3. FINAL EXAM: 1PM-3PM, 220 TH, MONDAY, APRIL 29th on interpolation, numerical integration and numerical solutions of ODEs. See your lecture notes, Practice Problems (PP#3, PP#4, PP#5) and Computer Problems (CP#3-3a, CP#4), in particular the topics:
     3. Interpolation.
     3.2 Lagrangian Polynomials
     3.3 Divided Differences
     3.4 Evenly Spaced Data (Newton-Gregory Polynomial Form)
     
     4. Numerical Differentiation and Integration.
     4.2 Derivatives from Difference Tables
     4.3 Higher-Order Dervatives
     4.4 Extrapolation Techniques
     4.5 Newton-Cotes Integration Rules
     4.6 Trapezoidal Rule
     4.7 Simpson's Rule
     4.9 Gaussian Quadrature
     4.10 Adaptive Integration
     
     5. Numerical Solution of ODEs
     5.3 Euler Methods
     5.4 Runge-Kutta Methods
     5.5 Multistep Methods
     5.7 Adams-Moulton Multistep Method
     5.9-5.10 Convergence and Errors
     
     6. BVPs
     6.1 Shooting Method
     6.2 Solution of Sets of Equations