Mladen Victor Wickerhauser's Math 449 class - 17 December 2016 Math 449 Numerical Applied Mathematics Professor Wickerhauser NEWS: • The final examination is now available. Maximum score was 50. Bins correspond roughly to A, B, C, and D. QUICK LINKS: • Here is, a compressed archive of the MatLab codes referenced in the text.

• Here is a that Gaussian quadrature abscissas and weights are, respectively, roots and integrals of orthogonal polynomials. • Some examples of cubic spline interpolation (courtesy of Prof. Sawyer): • • • • Some examples of Fourier series approximation (courtesy of Prof. Sawyer): • • • • One depiction of a from xkcd.com.

• There is a suitable for some of the homework assignments. • is a freeware imitation of current MatLab. It does not have the symbolic algebra functions of commercial MatLab.

• Download to help you with your symbolic calculations. • Example final exams from Math 449:,,, and. • Example midterm exams from Math 449:,,, and. SAMPLE PROGRAMS: • Synthetic division Matlab function. • Sample code to solve x=cos(x) by fixed-point iteration and plot the result. • Sample programs and to convert between binary and decimal integer formats. •: evaluate 20 terms of a two-term recurrence relation.

• Sample program for Euler's method. • Function 'nelder. Install Gvlk Key Kmspico Windows. m' as implemented in the textbook's software web site is buggy. Download a and use it instead.

[Search for 'CORRECTED' to find the two mistakes.] • Macsyma usage example: formulas for the first 21 Chebyshev polynomials. •: plot the edges of a cube.

• Corrected help for Matlab programming for. • instability demo. Syllabus Topics.

Numerical Analysis - Numerical Methods Project. Math 340 Numerical Analysis & Math 440 Advanced Numerical Analysis. Mathews 2005.

Computer arithmetic, error propagation, condition number and stability; mathematical modeling, approximation and convergence; roots of functions; calculus of finite differences; implicit and explicit methods for initial and boundary value problems; numerical integration; numerical solution of linear systems, matrix equations, and eigensystems; Fourier transforms; optimization. Various software packages are introduced and used. Math 217, Math 309, and CSE 131 or 200 (or other programming experience with permission of the instructor). Classes meet Mondays, Wednesdays, and Fridays, 3:00 pm to 4:00 pm, in Hillman Hall, Room 60. The lectures will follow, fourth edition, ISBN 0-13-065248-2, Pearson, 2004. Note: except for Chapters 5 and 8, the fourth edition is virtually identical to the third edition. You are encouraged to collaborate on homework, and to work additional exercises from the indicated problem sections, although the homework grade will be based only on the exercises listed below.

Please return your solutions to the instructor by the end of class. Problem sets will be assigned as follows: •, due Fri, Sep 9 () •, due Fri, Sep 16 () () () () •, due Fri, Sep 23 () () •, due Fri, Sep 30 () •, due Fri, Oct 7 () •, due Fri, Oct 14 () () () () () •, due Fri, Oct 28 () •, due Fri, Nov 4 () •, due Fri, Nov 11 () •, due Fri, Nov 18 () •, due Fri, Dec 2 () •, due Fri, Dec 9 (last class) () () () () () Solutions are due at the end of class on the due date. Late homework will not be accepted. The problems will often require a complete proof. Maryland Rn License By Endorsement In Nj more. The homework will be judged for correctness and clarity. When the problem requires a computed solution, it must be accompanied by a correct, well-documented computer program which will be judged for its understandability. Please print and submit: (i) the program, with a comment for every line, (ii) the input you gave it, and (iii) the output it produced, for at least one example run.

There will be one midterm examination in class on Wednesday, October 19th, 2016. () There will be one cumulative take-home emphasizing the remaining material, due on Friday, December 16th, 2016 by noon in my office, room 105a, Cupples I Hall, or by PDF attachment emailed to my address below Grading. One score will be assigned for homework, one for the midterm examination, and one for the final examination. These three will contribute in respective shares of HW 50%, MT 20%, and FE 30% to the course score. Letter grades, computed from the course score class average and standard deviation, will be at least the following: Course score at least: 90% 80% 70% 60% Letter grade at least: A B C D Students taking the Cr/NCr or P/F options will need a grade of D or better to pass. Students auditing will be required to attend at least 37 of the scheduled 41 lectures.

Please identify yourself to the instructor at the first class meeting. Students are encouraged to use MATLAB and the computers available in the Arts and Sciences Computing Center for both symbolic and numerical computations.

There is a suitable for some of the homework assignments. A freeware imitation of current MatLab is also available, called. It does not have the symbolic algebra functions of MatLab, but those are available within the freeware system. Office Hours. Mondays and Wednesdays, 4-5pm, or by appointment, in Cupples I, room 105a. Return to for contact information.