Introduction to Numerical Analysis I

- Lectures : Tuesday-Thursday 2:00-3:15pm, Math building room 0409

- Instructor : Pierre-Emmanuel Jabin
- Contact information, Phone : 301 405 5122, Office : 2307 in Math. Bldg and 4117 in Cscamm, e-mail : pjabin@cscamm.umd.edu
- Office hours: Tuesday-Thursday 10:30-12:00

- Textbook: Afternotes on Numerical Analysis, by G. W. Stewart, http://dx.doi.org/10.1137/1.9781611971491. It is freely available in electronic form from the UMD library.

- Material: A more complete description of the material covered week by week and assignmnents can be found at the address http://www2.cscamm.umd.edu/~jabin/Schedule_466.html
- Homework: There will be several homework assignments, numerical projects and tests...
- Examination: 1 midterm and a final exam.
- Grades: 20% for the homework, 10% for the tests, 10% for the projects, 30% for the midterm and 30% for the final exam. Letter grades will be based on the accumulated points at the end of the semester, according to the following scheme: 90%-A; 80%-B; 70%-C; 50%-D; less than 50%-F.
- Disabilities : Please inform me as soon as possible if you need accommodations because of a disability.
- Communication : Informations about the course will be given during class and through this web page. In specific cases (unexpected class cancellations), students will be contacted by e-mail.
- Academic integrity : The University of Maryland, College Park has a nationally recognized Code of Academic Integrity, administered by the Student Honor Council. This Code sets standards for academic integrity at Maryland for all undergraduate and graduate students. As a student you are responsible for upholding these standards for this course. It is very important for you to be aware of the consequences of cheating, fabrication, facilitation, and plagiarism. For more information on the Code of Academic Integrity or the Student Honor Council, please visit www.shc.umd.edu. To further exhibit your commitment to academic integrity, remember to sign the Honor Pledge on all examinations and assignments: "I pledge on my honor that I have not given or received any unauthorized assistance on this examination (assignment)."
- Some examples about academic integrity : It is all right for students to discuss between them about the homework assignments. It is similarly permitted to look for tips on the internet, from other students or other resources. It is wrong to simply copy the solution to a homework exercise from any student, a book, a web page or any other source.

Course Description (Preliminary)

This class introduces basic numerical methods. The aim is to explain from a mathematical perspective why and how the methods work. More specifically, we will focus on

- Nonlinear equations: How to calculate a solution to f(x)=0 for some f.

- Linear equations (systems of linear equations in matrix form).

- Polynomial interpolation:
Given the values of a function at some points, how to interpolate the
likely values at other points using polynomials.

- Numerical integration: How to compute the integral of a function over a given interval.
- Numerical differentiation and how type of approximations.