Syllabus – Math 6316, Numerical Methods II, Spring 2018


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).


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

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 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

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

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 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 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.


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.


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 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: