• This web page describes an activity within the Department of Mathematics at Ohio University, but is not an official university web page.
• If you have difficulty accessing these materials due to visual impairment, please email me at mohlenka@ohio.edu; an alternative format may be available.

MATH 4600 (11839-100), Fall 2012

Introduction to Numerical Analysis

Catalog Description:

A survey of the ideas, methods, and algorithms in Numerical Analysis.

Desired Learning Outcomes:

Students will be able to:

Construct algorithms to solve mathematical problems based on a common set of strategies.

Analyze the accuracy of such algorithms.

Analyze the computational cost and efficiency of such algorithms.

Identify the sources of failure of such algorithms, and avoid them.

Prerequisites:

MATH 3400 Elementary Differential Equations and (3200 Applied Linear Algebra or 3210 Linear Algebra) and (3600 Applied Numerical Methods or CS 2300 or 2400 or ET 2100).

Instructor:

Martin J. Mohlenkamp, mohlenka@ohio.edu, (740)593-1259, 315-B Morton Hall.
Office hours: Monday, Wednesday, and Friday 10:45-11:40am, or by appointment.

Web page:

http://www.ohiouniversityfaculty.com/mohlenka/20131/4600-5600.

Class hours/ location:

Monday , Wednesday, and Friday 9:40-10:35am in 219 Morton Hall.

Text:

None. We will scavenge materials from the internet. In particular we will use Wikipedia's Numerical Analysis pages, Wikiversity's Numerical Analysis topic, and material borrowed from MATH 3600.

Internet Access:

If you have a laptop, tablet, or smartphone that you can conveniently bring to class to access the internet, please do so.

Homework:

There will be weekly homework assignments, consisting of:

• Traditional paper-and-pencil problems;
• Programming problems (I support Matlab and Python, but other languages are acceptable);
• Wikipedia tasks; and
• Good Problems, which are graded half on content and half on presentation.

You may work together in a group of two or three and submit a joint solution. (Some problems, such as your autobiography, will require individual solutions.)

Tests:

There will be three mid-term tests, in class. Calculators are permitted for arithmetic.

Project:

Your project during the quarter is to critique and improve Wikipedia's Numerical Analysis pages. At the end of the quarter you will submit a written report and give a presentation on what you did.

Final Exam:

The final exam is on Friday, December 14, 8:00-10:00am in our regular classroom. Calculators are permitted for arithmetic.

Grade:

Your grade is based on homework 40%, tests 30%, final exam 20%, and project 10%. An average of 90% guarantees you at least an A-, 80% a B-, 70% a C-, and 60% a D-.

Missed or Late work:

Late homework is penalized 5% for each class day or part thereof. You can resubmit homework to improve your score, but the late penalty will apply.

Attendance:

Attendance is assumed but is not counted in your grade. However, you should estimate that for each class you miss your average will decrease by one point due to the learning you missed. It is your responsibility to find out any announcements made in class.

Academic Dishonesty:

On the homework you may use any help that you can find, but you must acknowledge in writing what help you received and from whom or where. The tests and final exam must be your own work, and without the aid of notes, etc. Dishonesty will result in a zero on that work, and possible failure in the class and a report to the university judiciaries.

Special Needs:

If you have specific physical, psychiatric, or learning disabilities and require accommodations, please let me know as soon as possible so that your learning needs may be appropriately met.

Learning Resources:

Your classmates are your best resource. Use them!

LaTeX, Python, and Matlab resources.

My Wikiversity user page

MATH 5600 (11825-100)

For students enrolled in MATH 5600, the above syllabus is modified as follows:

Prerequisites:

Formally none. In practice Calculus, Linear Algebra, Elementary Differential Equations, and working knowledge of a programming language such as Matlab are needed.

Homework

You must turn in an individual solution.

Tests and Final Exam

Expect an additional, harder problem, such as a proof.

Project:

Your project is to add or extend a lesson on Wikiversity for Numerical Analysis. At the end of the quarter you will submit a written report and give a presentation on what you did.

Schedule