Math 471 Spring 1997 Cover Page

Time Table: 02:00pm 306 AH Call#62255

Instructor and Course Coordinator: Professor F. B. Hanson, 718 SEO, hanson@uic.edu, X3-2142

Office Hours: 1+pm, 718 SEO MWF (prefer by arrangement)

Syllabi:

• MCS 471 General Syllabus
• MCS 471 Topics by Lecture

Assignments:

Click Here for Homework, Practice and Computer Problems

Examinations:

1. Exam #1: 11am, Monday, 17 February 1997, on Precision and Nonlinear Equations
   
   Exam Topics:
   • Floating Point Precision
   • Bisection Method
   • Secant Method
   • Newton's Method
   • Fixed Point Iteration Method
   • Golden Section Search
   • See also sample exam Practice Problems#1: Nonlinear Equations
2. Exam #2: 11am, Wednesday, 02 April 1997, on Computational Linear Algebra
   
   Exam Topics:
   • Forward Gaussian Elimination with Back Substitution
   • Virtual Row (Partial) Pivoting and Row Scaling
   • Virtual Full Pivoting
   • Linear Algebra Computational Complexity
   • Determinants, Inverse and Multiple RHSs by FGE
   • LU Decomposition with and without Pivoting
   • Norms, Condition Numbers and Error Propagation
   • Multidimensional Newton's Method (Nonlinear Algebra)
   • See also sample exam Practice Problems#2: Compuational Linear Algebra
3. Final Exam: 08-10am, Thursday, 08 May 1997 on
   
   Exam Week Office Hours: 1pm-2pm, Tuesday, May 6th, 718SEO
   Exam Topics: {Lectures are Primary, G&W Sections are Secondary}
   • 3. Interpolation. {Not Likely?}
     • 3.2 Lagrangian Polynomials
     • 3.3 Divided Differences
     • 3.4 Evenly Spaced Data (Newton-Gregory Polynomial Form)
     • See also sample exam Practice Problems#3: Interpolation
   • 4. Numerical Integration.
     • 4.5 Left, Right, Midpoint Rectangular Integration Rules
     • 4.6 Trapezoidal Rule
     • 4.7 Simpson's Rule
     • 4.9 Gaussian Quadrature {G_1, G_2, kXG_1}
     • See also sample exam Practice Problems#4: Numerical Integration
   • 5. Numerical Solution of ODEs
     • 5.3 Euler Methods
     • 5.4 Runge-Kutta Methods
     • 5.7 Adams-Moulton Multistep Method
     • 5.9-5.10 Convergence and Errors
     • See also sample exam Practice Problems#5: Numerical Solution of ODEs

Grading Policy:

• Hour Exams (2) ---- 33%
• Final Exam ---- 34%
• Individual Computer Problems and Homework* ---- 33%
  
  *Credit for Problems NOT Handed in is the Negative of Full Credit
  *Plagiarism or Copying of Computer Problems and Homework Will Result in Severe Penalties.

Class Text {For 2nd Opinion Only; See your Lecture Notes}:

• C. F. Gerald and P. O. Wheatley, Applied Numerical Analysis, 5th Ed., Addison-Wesley, 1994.

Class Resources:

• Prior Semester MCS471 Courses: (click here)
• Supplementary References: (click here)
• Class Notes: (click here)
• Help for Numeric and Symbolic Computational Tools: (click here)