# Syllabus – Math 6316, Numerical Methods II, Spring 2018¶

## Instructor:¶

Daniel R. Reynolds

## Class and Office Hours:¶

Lecture:224 Clements Hall, Tu/Th, 9:30-10:50 am.

Office Hours:139 Clements Hall, Tu/W/Th 2-3 pm, W 9-11 am, or by appointment (arrange by email).

## Textbook:¶

A. Quarteroni, R. Sacco, F. Saleri, Numerical Mathematics, Springer, 2nd edition, 2007. (ISBN: 9783540346586).

## Recommended Reading:¶

### Matlab:¶

- Short
`Matlab tutorial`

. - Longer Interactive Matlab Tutorial.
*This is a web-based, interactive tutorial provided by the company that sells Matlab. It requires registration (free). I suggest that you do all 12 tutorials.* - Cleve Moler, Numerical Computing with Matlab, SIAM Philadelphia,
2004.
*This is a free online book, written by the inventor of Matlab, that focuses on built-in Matlab commands applied to tough scientific computing problems.*

For those of you who would like even more assistance with learning to use and program in Matlab, I have reserved a ‘zyBook’ that you may use to augment our classroom instruction. While these are not free, they can be highly useful for some students:

- With a single lesson, zyBooks improved student performance by 16%
- Least-prepared students improved by 64%
- Students self-reported significantly higher levels of engagement with the zyBook
- Students voluntarily spent twice as long with the zyBook, even though the zyBook had half the text
- 96% of instructors polled recognize zyBooks for boosting their students’ confidence with the subject matter

Instructions for purchasing / accessing your zyBook for this course:

- Sign in or create an account at learn.zybooks.com
- Enter zyBook code:
`SMUMATH3315ReynoldsSpring2018`

- (optional) If this is your first-time using zyBooks, I encourage you to work through “How to Use zyBooks,” found in your zyBook library.

## Course Description:¶

*MATH 6316 – Numerical Methods II* [3 credits]

Covers interpolation and approximation of functions, numerical differentiation and integration, basic methods for initial value problems in ordinary differential equations, and basic approximation methods for one-dimensional initial-boundary value problems. Topics focus on algorithm development and the theory underlying each method.

Prerequisites: MATH 2343, 6315.

## Student Learning Objectives:¶

- Math Masters SLO 1: Students will be able to implement numerical algorithms in a programming language (assessed in second numerical course).
- Math Masters SLO 2: Students will be able to prove properties of numerical algorithms (assessed in second numerical course).

## Computing:¶

Computing assignments in this class will be performed in Matlab, unless otherwise approved by the instructor. Because SMU has a site license for Matlab that allows faculty, staff and students to install Matlab on a personal computer, it is recommended that you install Matlab on your laptop or home computer. Information on the installation process, as well as relevant download links, are avaialble at www.smu.edu/OIT/Services/Info/Matlab.

Matlab is also available on most public computers across campus. This includes all Lyle computer labs, all Math department graduate student workstations, and the Math department servers. Matlab is also available “in the cloud” at apps.smu.edu.

Alternately, students may run Matlab remotely from either the Math servers. Students running Windows who do not yet know how to do this should follow the instructions here to set up the appropriate software on their computer to allow them to emulate and/or login to Unix/Linux servers. Students running OS X can follow these instructions to log into Unix/Linux servers from their Mac.

## Reading:¶

Reading the sections of the textbook corresponding to the current lecture topic is required, and will be necessary for completing each homework assignment. It is expected that you have read this material in advance of each lecture.

## Homework:¶

Homework will be assigned on the course Homework page. These will be due periodically throughout the semester, and will be comprised of both theoretical and computational (Matlab) work.

- Computational portions of each assignment will be turned in electronically (on Canvas), and should include all Matlab scripts, functions, and input files required to run your code.
- Theoretical portions of each assignment will be turned in as a single PDF file on Canvas. If you do this by hand, then the photocopy machines on campus can scan, convert to PDF, and send to your email.

## Exams:¶

We will have 2 take-home exams, the dates of which are posted on the
course web page. The exam questions will be based off of the
reading and homework. These exams will be non-cumulative, and will be
open-book/open-notes, but *no calculators are allowed*. You have 90
minutes to complete each exam.

Our third exam will occur during the regularly-scheduled final exam period. This will also be non-cumulative, is also open-book/open-notes, and calculators are not allowed. Although it will occur during the final exam time slot, it will only last 90 minutes.

The specific topics covered on each exam are provided on the Exams page.

## Grading:¶

Your course grade will be determined using the following formula:

25% Homework

25% Each exam

All final grades are assigned on a standard grading scale.

## Honor Code:¶

The SMU Honor Code applies to all homework and exams in this
course. *Work submitted for evaluation must represent your own
individual effort. Any giving or receiving of aid without my express
consent on academic work submitted for evaluation shall constitute a
breach of the SMU Honor Code.*

Academic dishonesty is considered a serious offense, and is doubly
inexcusable among graduate students. I take honor code violations very
seriously, and will report all violations to the SMU Honor
Council. The minimum penalty for a violation is a “0” on the
assignment, and the maximum penalty is immediate failure of the
course. These penalties are **in addition to** those imposed by the
SMU Honor Council.

The line between helping each other learn, and copying from one
another is not always easy to discern. While I strongly encourage you
to learn with/from one another, you should **never** turn in anything
that you do not understand or could not reproduce again on your own.
If I feel that you may have gone too far, I reserve the right to ask
you to repeat your work in my office to see whether you did it
yourself, or just copied answers from a friend.

Examples of honor code violations include:

- Submitting a computer code which includes a function/script, or even part of a function or script, written by someone else (other than the instructor). This includes programs written by other students, tutors, and programs downloaded from the internet.
- Submitting computer outputs (numerical results or plots) produced by someone else’s program.
- Submitting computer outputs with fabricated results.
- Copying theoretical work from another student.
- Supplying your own work for another student to copy.

See the SMU Honor Code website for more information.

## SMU Regulations:¶

*Disability Accommodations*: Students needing academic accommodations
for a disability must first register with Disability Accommodations &
Success Strategies (DASS). Students can call 214-768-1470 or visit
http://www.smu.edu/Provost/ALEC/DASS to begin the process. Once
registered, students should then schedule an appointment with the
professor as early in the semester as possible, present a DASS
Accommodation Letter, and make appropriate arrangements. Please note
that accommodations are not retroactive and require advance notice to
implement.

*Religious Observance*: Religiously observant students wishing to be
absent on holidays that require missing class should notify their
professors in writing at the beginning of the semester, and should
discuss with them, in advance, acceptable ways of making up any work
missed because of the absence. (See University Policy No. 1.9.)

*Excused Absences for University Extracurricular Activities*: Students
participating in an officially sanctioned, scheduled University
extracurricular activity should be given the opportunity to make up
class assignments or other graded assignments missed as a result of
their participation. It is the responsibility of the student to make
arrangements with the instructor prior to any missed scheduled
examination or other missed assignment for making up the work.
(University Undergraduate Catalogue)

*Campus Carry*: In accordance with Texas Senate Bill 11, also known
as the “campus carry” law, following consultation with entire
University community SMU determined to remain a weapons-free campus.
Specifically, SMU prohibits possession of weapons (either openly or
in a concealed manner) on campus. For more information, please see:
http://www.smu.edu/BusinessFinance/Police/Weapons_Policy.