Department of Mathematical Sciences
UNIVERSITY OF DELAWARE

Spring 2013

MWF 9:05-9:55am		207 Ewing Hall
	Engineering Mathematics III
	M353-010

INSTRUCTOR: 		 Dr. Petr Plechac, 510 Ewing Hall  


PHONE, E-MAIL: 		 plechac@math.udel.edu, 


COURSE WEB PAGE: 		 http://www.math.udel.edu/~plechac/M353 


OFFICE HOURS: 		 Mon  10:30-12:00,                               Wed  10:30-12:00pm, or by appointment 


TEXTBOOK: 		 Numerical Analysis, T. Sauer, 2nd Edition 


COURSE CONTENT: 		 see the syllabus below 

Homework/Computational projects:

Assigned weekly on Fri and collected the following Fri, unless stated otherwise. There will be approximately 10 homeworks and computational projects. Some of the computational projects will also have a theoretical component that will serve as preparation for the exams. The homeworks will be graded and in total will contribute 30% in the final grade.

Exams and Grades:

The following rules apply:

• Mid-term exams: 2 hourly mid-term exams, each worth of 15% of the grade, i.e., 30% to the final grade from midterm tests.
  Tests will be given on: Mar 4, Apr 8
• Comprehensive final worth 40% of the grade
  Final exam will be given on: TBA
• Comp. assignments (projects) worth of 30% of the grade.
• Final grade:
  The following grades are guaranteed if you earn the corresponding percentage of the total score:
  A$\geq 93$%, A-$\geq 90$%, B+$\geq 87$%, B$\geq 83$%, B-$\geq 80$%, C+$\geq 77$%, C$\geq 73$%, C-$\geq 70$, D+$\geq 67$%, D$\geq 63$%, D-$\geq 60$, F$< 60$%.

Rules - Exams:

Absolutely no make-up tests except where mandated by university rules. If a make-up exam is approved, the grade for the missing test will be taken to be the grade in the final exam.

Rules - Assignments:

The following rules apply to homeworks: Any work of more than one page that you turn in must be stapled (or otherwise bound) and written on only one side of the paper. The first page must be clearly labeled with your name, a title that distinguishes it from any other assignment (e.g., "M353 - Homework 1"), and the due date. All assignments should be handed in on time, anything turned in late without prior notification of the instructor will result in zero points for that assignment. Any assignment not properly bound and labeled will not be accepted. You should observe the page limit for each homework. Assignments that do not conform to the page-limit will result in 0 (zero) points (no exceptions). Answers should be well-documented and solution steps sufficiently described.

Class attendance is required and can affect the final grade. Unless indicated otherwise, all assignments are to be done independently, without consultation with anyone but the instructor. The problems and projects you hand in must be your own work and must not be copied from others. All students must be honest and forthright in their academic studies. To falsify the results of one's research, to steal the words or ideas of another, to cheat on an assignment, or to allow or assist another to commit these acts corrupts the educational process. Students are expected to do their own work and neither give nor receive unauthorized assistance. Any violation of this standard must and will be reported to the Office of Student Conduct. http://www.udel.edu/stuguide/09-10/code.html#honesty.

For complete information about University policies relating to academic honesty, consult Student Handbook. In particular any forms of plagiarism, fabrications, cheating and other forms of academic dishonesty that are in violation of the Academic Honesty Statement of Policy will not be tolerated.

Always read carefully requirements and formulation of each project or homework.

Rules - Classroom:

The standard rules will apply to behaviour in the classroom and in the computer lab. In particular, during the class sessions absolutely no food, no ringing cell phones and cell phone calls, no texting and use of laptops except when required for the class work. The student who violates the classroom behavior rules will be asked to leave the classroom. For details about this topic review the student guide to university policies http://www.udel.edu/stuguide/12-13/index.html, http://www.udel.edu/stuguide/12-13/code.html#code.

Syllabus:

This course will cover the following topics from the textbook: Calculus Tools, Computer Arithmetics, Number Representation, Errors (Chapter 0) Root finding (Chapter 1), Solving systems of equations (Chapter 2), Interpolation and Approximation (Chapter 3), Numerical Integration (Chapter 5), Numerical Solution of ODEs (Chapter 6), Boundary value problems (Chapter 7), Least squares (Chapter 4), Eigenvalues and singular values (Chapter 12), Optimization (Chapter 13), Fast Fourier transform and data compression (Chapter 10-11), Random numbers and Monte Carlo simulations (Chapter 9).

Remarks:

If you miss a class it is your responsibility to find what material was covered and what homework was assigned. I encourage you to visit with me should you feel uncomfortable with any material covered in the course.

Two important points:

$\bullet$ Most of the work you have to do yourself, therefore do all assigned projects and exercises. If you have difficulties to solve the problem deal with it as soon as possible (e.g. by coming to office hours).

$\bullet$ Read the book ! While I'll try to explain most of the mathematical details in the lectures there will always be something that cannot be covered in the allocated time. In the book you will also find many algorithms described in terms of a pseudo-code which is easy to be translated into any programming language.