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MATH 3600-100 (6272), Spring 2021
Applied Numerical Methods
A survey of numerical methods
for engineering, science and mathematics students. Topics
include: solutions of systems of linear and nonlinear equations,
eigenvalues, numerical differentiation and integration, and
numerical solution of ordinary and partial differential
equations. The topics will be posed in a setting of problems
intended for engineering students using MATLAB. The course will
simultaneously introduce numerical methods, programming
techniques, problem solving skills and the Matlab language, in a
Desired Learning Outcomes:
The ability to use MATLAB as a programming tool to solve
common engineering and scientific problems.
Understand and know how to apply common numerical
methods for solving equations and linear systems,
integration and differential equations.
The ability to define and understand the practical
consequences of issues such as convergence, stability,
computational cost, and error propagation as they apply to
various numerical problems.
MATH 3400 Elementary Differential Equations.
Class hours/ location:
None, since this class is online and asynchronous.
If you are confused about a topic in the text or a homework problem, then ask your question here, as if you were raising your hand in class.
I will answer in the channel so that others get the benefit of your question too.
The initial plan is to have a short scheduled office hour Monday, Tuesday, Wednesday, and Thursday afternoons.
The times and frequency will then be adjusted based on usage and your input.
If you want to introduce yourself, see if anybody knows
of good internships, share an interesting website, post a
video of your (robot) cat, etc., then do it here.
I will randomly assign groups of 3 using Blackboard. The groups will be randomly reset for each new part of the textbook, so you will be in four different groups. (By chance, you might have repeat partners.)
At the end of each part of the textbook, you will rate (and be rated by) your former partners on how much they contributed to the group. The ratings you receive are part of your grade.
Each lecture in the text has a few homework problems. As a group you will submit a single
solution for each problem. Submission is online
upload a single file (.docx or .pdf) for each problem.
See the section on academic (mis)conduct below for the resources you are and are not allowed to use.
Advice: It will be tempting to just split up the problems. That works poorly because:
Many problems depend on previous problems.
You will learn less and suffer for it later in the course and in life.
It is best if everyone tries all the problems and then you
discuss and compare. Then you can split up the task of
writing a clean version of each solution and submitting
One additional problem each week is done individually.
Some of these will be mathematical exercises and some will
help prepare you for your final project. Submission is
These problems will be graded both on content and on
Good Problems system of handouts. See the section on
academic (mis)conduct below for the resources you are and
are not allowed to use.
As a culminating experience, you will do a project to apply numerical methods using Matlab to a topic outside of this course.
It could be something from one of your other courses (that is not already using numerical methods), a hobby or other interest of yours, etc.
Your goal is to demonstrate what you have learned in this course and in particular to demonstrate that you have met the Desired Learning Outcomes listed at the start of this syllabus.
The deliverables for the project are:
A presentation, either live via video or as a recorded video (your choice). (20%; due Thursday in the week of April 19.)
A report. (80%; due Thursday in the week of April 26.)
Your grade is based on group homework 50%, your partners'
ratings of you 10%, your individual homework 20%, and your final
project 20%. An average of 90% guarantees you at least an A-,
80% a B-, 70% a C-, and 60% a D-.
Group and individual homework is due at noon on the specified days.
Late homework is penalized 10%
per day (or part thereof) late. You can resubmit a
homework to improve your score, but the late penalty will
You are allowed to use most resources, but there are some limitations.
Unlimited use, without specific acknowledgment:
Discussions with me.
Your partners, for the group homework.
Broad use, with acknowledgment:
Websites about numerical methods or Matlab.
Explanations by members of other groups in this class.
Explanations by members of your group, for the individual assignments.
Explanations by students who took this class in the past
Acknowledge and describe this help in writing on the
problem where it was used. For example, you might write
"[Name] explained to me how to do [some part] of this
problem" or "I found an explanation of [concept] at the
The written work or programs from students who took this class in the past.
Websites such as Chegg that claim to have homework solutions for this class.
A minor, first-time violation of
this policy will receive a warning and discussion and
clarification of the rules.
Serious or second violations will
result in a grade penalty on the assignment. Very serious or
repeated violations will result in failure in the class and be
reported to the Office of
Community Standards and Student Responsibility, which may
impose additional sanctions. You may appeal any sanctions through
the grade appeal process.
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. You should also
register with Student Accessibility
Services to obtain written documentation and to learn about
the resources they have available.
Responsible Employee Reporting Obligation:
If I learn of any instances of sexual harassment, sexual
violence, and/or other forms of prohibited discrimination, I
am required to report them. If you wish to share such
information in confidence, then use
of Equity and Civil Rights Compliance.