Class meetings: Monday and Wednesday 1:00 ~ 2:15, 140 West 62nd 213
Office: LL 817B
E-mail: hmoon8@fordham.edu
Course webpage: https://fordham.blackboard.com
Office hours: Monday and Wednesday 3:00 ~ 4:00, Thursday 9:30 ~ 11:30 or by appointment
Text: Elementary Numerical Analysis, 3rd ed., K. Atkinson, W. Han, ISBN-13: 978- 0471433378, ISBN-10: 0471433373.

Recommended Problems

• Sec. 1.1. #1, 2, 3, 5, 10, 11, 12.
• Sec. 1.2. #1, 2, 3, 5, 6, 8, 9, 13, 15, 16, 19. 20.
• Sec. 2.3. #4, 5, 6, 7, 8, 9.
• Sec. 3.1. #1, 4, 9, 10, 11, 13.
• Sec. 3.2. #2, 4, 11, 13.
• Sec. 3.3. #1, 6.
• Sec. 3.4. #1, 3, 5, 9, 13, 14.
• Sec. 3.5. #1, 2, 8.
• Sec. 4.1. #2, 7, 8, 10, 11, 12, 15, 19, 21, 33.
• Sec. 4.2. #1, 2, 4, 5, 9, 13, 14, 18.
• Sec. 4.3. #1, 3, 10, 11, 12, 13.
• Sec. 4.5. #1, 2, 3, 4, 6.
• Sec. 4.6. #2, 4, 5, 6, 7.
• Sec. 5.1. #3, 5.
• Sec. 6.5. #2, 3, 4, 6, 7.
• Sec. 7.1. #1, 2, 3, 5.
• Sec. 7.2. #1, 3, 4, 9, 10, 12, 15. 
• Sec. 8.1. #1, 3, 4, 5.
• Sec. 8.2. #1, 2.
• Sec. 8.3. #1, 6, 9.
• Sec. 8.5. #1, 2, 3, 4, 6.

Course objective

This course is an introduction to numerical methods and their applications in mathematics, science and engineering. Topics include numerical methods for solution of nonlinear algebraic equations, numerical linear algebra, initial value problems for ordinary differential equations, interpolation, and numerical integration.

Prerequisite

Math 2004 (Multivariable Calculus I) and Math 2006 (Linear Algebra I).

Grading

I will grade on a curve. Final grades will be computed according to the following breakdown:

Calculator or Computer

Only calculators are permitted on midterm tests and the final. Use of computers, smartphone or any other electronic devices is not allowed.

Homework

There will be a weekly homework assignment. It will be collected on Monday, before the class starts. I highly recommend you to work in groups and help each other, but do not copy someone’s steps directly. You must understand how to solve the problems. I recommend to typeset your homework, but it is not mandatory. If you decide not to typeset, please write it clearly and neatly. I don’t accept any late submission or e-mail submission unless there is some medical/family emergency.

Additional materials

I will post solutions of tests and homework. Check the course webpage regularly, at least once in a week. It is always advisable to work as many additional problems from the book as you have time for. In each week I will post on the course webpage a list of recommended problems. You don’t need to submit a solution of recommended problems, but studying them will be very helpful to improve your mathematical understanding.

Programming component

It is nearly impossible to understand numerical mathematics without doing computer programming by yourself. We will use Python and NumPy via Jupyter. You have to prepare a computer that you can run Python + NumPy. Jupyter is an environment that you may create worksheets which contain Python code, output, visualization and Human-readable text. You may visit https://jupyter.org to find some description. If you don’t have Jupyter yet, then I highly recommend to install Anaconda: https:// www.anaconda.com/download. Then you don’t need to download any other packages or programs. If you have any trouble to install, please contact me.

If you have no experience in computer programming, please visit https://greenteapress. com/wp/think-python-2e/ and read Think Python 2e, Chapter 1, 2, 3, 5, 6, and 7. The book is freely available on the website above.

Projects

I will assign biweekly team projects. A project will be assigned as a form of Jupyter notebook, and it should be returned as a completed Jupyter notebook via email. A group will consist of four or five people. The last project has the same style but is an individual project. You may discuss your project with your classmates, but do not copy codes from the others. Whenever I notice essentially same codes, I will not give any credit to both of them. The codes with only different names of variables or minor variation will be regarded as the same one.

Test

There will be one midterm test and a final exam. The tentative schedule for the midterm tests is: February 20 and March 27. The final is May 8. Make up exams will not be given unless you have a documented reason.

Attendance

Coming to every class during the official academic term is required. Attendance will be taken intermittently. This will be included in the “participation” portion of your grade.

Academic integrity

As a Fordham University student, you have agreed to abide by the University’s academic integrity policy. All academic work must meet the standards described in http://www.fordham.edu/info/20322/academic_advising/3030/academic_integrity. Lack of knowledge of the academic integrity policy is not a reasonable explanation for a violation. Questions related to course assignments and the academic integrity policy should be directed to the instructor.

Disability Services for Students

If you are a student with a documented disability and require academic accommodations, you need to register with the Office of Disability Services for Students (ODS) in order to request academic accommodations for your courses. Please contact the main ODS office at Rose Hill at 718-817-0655 to arrange services. Staff at ODS can walk you through the process and arrange appointments depending on which campus you take courses at. Accommodations are not retroactive, so you need to register with ODS prior to receiving your accommodations. Please see me after class or during office hours if you have questions or would like to submit your academic accommodation letter to me if you are already registered for accommodations with Fordham.

Disclaimer

The course syllabus is a general plan for the course; deviations announced to the class by the instructor may be necessary.