Required: Tea Time Numerical Analysis , by Leon Brin, open source, 2016, book website
Secondary: Numerical Methods with Applications, by Kaw and Kalu, open source, 2009, book website.
Course: This course is an introduction to the use of numerical methods with the specific objective of providing background on the intelligent use of methods to solve mathematical problems. Students should be experienced in Calculus 1-2,
Ordinary Differential Equations, and have basic knowledge of programming. This course will focus more on concepts and theory rather than simple procedures.
We will use applications and examples to illustrate the power and the peril of using numerical methods to solve problems. BOR mandate on D2L: In this course we will use D2L, so we can respond quickly to changing public health conditions. You can access D2L from the central D2L login page. You can also go to the "Current Students" section on the South Dakota Mines homepage and click on the D2L icon. Use your campus Single Sign On email and password to get in. If you have problems, call the helpdesk at 605-394-1234 or email helpdesk@sdsmt.edu University mandated statement on structure: Course Structure for Fall 2020 To align with COVID-19 guidelines, the course is structured in a flipped structure where there are videos that are available on a YouTube playlist and students are expected to review the videos, read the text, review the class notes, and attempting the homework before class. In class, we will work problems and students will be evaluated in class. Lastly, the class population will be divided up into three groups where each group would attend class once a week. Thus, you would be assigned to a group that would only meet on Monday, Wednesday, or Friday. The class will also entail quizzes online, programming assignments using Matlab, and the exams will be take home. If a student would like to complete the course entirely online then that option is available and the student should contact the faculty member prior to start of classes.
Outline: The class will start with a brief introduction on machine arithmetic and error.
The course will also cover simple interpolation and solving nonlinear equations,
Numerical methods for solving Ordinary Differential Equations will be a strong feature of the course along with a strong emphasis on using Matlab. The course will close on solving linear systems.
Technology:
This course will require the use of Matlab and LaTeX.
If a student desires to use a PC Notebook, laptop, tablet, tablet PC, or any other form of electronic medium in Math 373 then your use should not be a distraction. If your used of technology is a distraction then you will be asked to turn off device or leave the class. Please see the laptop policy for details. University mandated note on technology: The university would also like to note that you should have mastery knowledge regarding the use of your computer with the ability to turn on and turn off your computer along with power management to sustain the use of your computer. You should also have access to (and know how to use): web camera, microphone, speakers (or headphones), Zoom conference software, a web browser, D2L, you campus email, Microsoft Office products (word, excel, powerpoint), a pdf reader, along with a wi-fi (or ethernet) connection to the internet. For help related to the services provided by the university there is a reference at https://www.sdsmt.edu/its/help/ .
Grading: There will be three exams each worth 60 pts. The highest score between exam 1 and exam 3 will be retained, exam 2 cannot be dropped. There are two sets of MATLAB programs for a total of 55 points, the first set you can submit up to three programs with the top two scores being retained (each worth 15 points) and the second set is made of two programs with the top score retained with that score being 25 points. There will be quizzes administered on D2L that will cover course material and all quiz scores will count (no dropped quiz scores). Each individual quiz percentage will be equally added into an overall average percentage score, which the overall percentage will be weighted by 50 points. Class Participation will account for 60 points of the total grade.
The total number of points is 285.
Note: Any assignment that is to be turned in must be handed by the assigned deadline. Assignments
turned in after 5 pm (local time) on the due date will not be accepted!
It is the student's responsibility to check about missed class work
or examsespeciallywhen the problem is known previous to the
absence. In all cases, the grade is based on what knowledge the student is able to convey and it may be necessary for the instructor to schedule an individual student conference to follow up and determine the proper grade to be assigned. Departmental policy prohibits
final exams be given early. Plus and minus grades are prohibited by the state system. I reserve the right to change the grading
policy as needed.
Grade Scale:
90 - 100% A
80 - 89% B
73 – 79% C
65 – 72% D
below 65% F
Classroom Participation
Class is structured as a flipped classroom. This structure was selected in order to comply with university restrictions for COVID-19. This allows a mixed mode for class participation that a student can select at the start of the semester. The two modes are: in class participation, or completely online. At the start of semester, students can pick the mode they would like to utilize and that mode will not be changed unless the university orders a move for all classes to move online.
In class participation is designed where students will be assigned one day of the week to attend class (every week). It is expected that students will watch all the videos, complete all the reading, and be prepared for the questions posed in class. In class participation will involve students working in small groups and the instructor evaluating performance every day. Every day the student can be assigned the following: 3 points = master, 2 points = prepared, 1 point = provisionally prepared, or zero points. At the end of the semester the lowest individual score is dropped and the overall percentage is calculated. That percentage is applied to the overall point total of 60 points. If a student misses one class then that zero will be their dropped score, if the student has any additional excused absences then they will be given the opportunity for a makeup. Note that class participation does require bringing paper and something to write with every class session and also bringing a fully charged device that can run MATLAB.
To align with BOR policy, masks, or appropriate face shields, are required for class. This applies under BOR policy for levels 2-4.
Online participation is designed to mirror the in class participation, but accomplish this online. University policy mandates that any online class include a student to student interaction, which means any student selecting the online option will be assigned a small group and this group will be required to collaborate every week. Students selecting the online option will produce a LaTeX report every week that details their work along with a component of the collaboration from their small group and at least 4 worked homework problems every week (these problems cannot have worked solutions provided in the course material or the textbook). The points assigned every week 3 points = complete work and full collaboration with team, 2 points = partial work (or full work, but lacking collaboration), 1 point = submitted a report that included sufficient work to earn credit, or zero points. At the end of semester the overall percentage is applied to the overall point total of 60 points. Note that the collaboration portion of the report can include material that is copied from other team members, but the individual work of at least 4 problems must contain original work.
Mandated ADA Statement
SD Mines strives to ensure that physical resources, as well as information and communication technologies, are accessible to users in order to provide equal access to all. If you encounter any accessibility issues, you are encouraged to immediately contact the instructor of the course and the Title IX and Disability Coordinator, Ms. Amanda Lopez at disabilityservices@sdsmt.edu or 394-2533. Students with special needs or requiring special accommodations should also contact the instructor and the Title IX and Disability Coordinator. More information can be found at https://www.sdsmt.edu/Campus-Life/Student-Support/Disability-Services/
for course updates, changes in the syllabus, and make-up work.
Last updated 8/12/2020
Catalog Description: MATH 373 INTRODUCTION TO NUMERICAL ANALYSIS
(3-0) 3 credits. Prerequisite: MATH 321 and CSC 150 or CSC 170 or permission of instructor. This course is an introduction to numerical methods. Topics include elementary discussion of errors, polynomial interpolation, quadrature, non-linear
equations, and systems of linear equations. The algorithmic approach and efficient use of the computer will be emphasized. Additional topics may include: calculation of eigenvalues and eigenvectors, numerical differentiation and integration, numerical solution of differential equations.
Instructional Methods: This class is structured as a flipped class. This course design heavily depends on students watching the lectures and reviewing the reading material before the class session. Students that are identified as not prepared will be assigned lower points for class participation. Adjusting to the model can be challenging so students should communicate with the instructor when there are any questions or concerns regarding the expectations for this class. It is very important that students keep up with the class schedule and it is expected that students dedicate at least 9 hours a week for this class.
Class Assessment Methods: Several different assessment methods will be employed in evaluating student learning. Exams, quizzes, projects, and in class evaluations will be the primary assessment tools for this class. However, group work, written reports, and oral presentations may also be required. Please consult the course map on D2L for details on the course learning outcomes for this course.
Course Outcomes: Students upon completion of this course should, at a minimum, be able to:
Write finite approximations of the first and second derivative.
Identify the different types of error in numerical methods.
Implement the use of numerical approximation for integration.
Implement the use of Runge-Kutta to solve initial value problems.
Apply numerical methods to solve systems of differential equations.
Apply numerical methods to solve nonlinear equations.
Classroom Policies
Most of these policies are common sense and are associated with being a responsible adult at an institution of higher learning.
Academic Honesty and Integrity
Please note the academic integrity expectations for each assignment. Students can collaborate in regards to the homework and can utilize any other resources to help learn the material while working on the homework. The programming assignments are individual assignments, students are not allowed to collaborate with anyone other than contacting the instructor. Students that share their code with anyone else related to the programming assignments are also in violation of the academic integrity of the assignment. The exams are also individual assignments and students should not collaborate with anyone else (on or off campus) while working on an exam. Students can use any of the materials provided by the instructor while working on the exams, internet searches are only allowed for help with LaTeX while working on exams. Quizzes are individual assignments and students should not collaborate with anyone while working on a quiz. Requirements for each quiz vary so students should carefully read the instructions for every quiz before attempting the quiz. Penalties for violating the academic integrity can vary depending on the violation, but all violations will be reported to the university judicial officer and the assignment of an F for the course is a possible penalty for violating this policy. Please immediately contact the instructor if you have any questions regarding the academic integrity restrictions for any assignment for this class.
All students will be held to the institutional standard for academic honesty and integrity. The following are the relevant sections taken from the student handbook ( SD Policies and Procedures):
Acts of academic dishonesty will include, but are not limited to, the following:
Cheating, which is defined as, but not limited to, the following:
Use, or giving, of any unauthorized assistance in taking quizzes, tests, assignments, projects, programs, or examinations;
Using sources beyond those authorized by the instructor in writing papers, preparing reports, solving problems, or carrying out other assignments;
Acquiring, without permission, tests or other academic material belonging to the instructor or another member of the institutional faculty or staff;
Engaging in any behavior prohibited by the instructor in the course syllabus or in class discussion;
Falsifying or misrepresenting data or results from a laboratory or experiment; or
Engaging in other behavior that a reasonable person would consider to be cheating.
Plagiarism, which is defined as, but not limited to the following:
Using, by paraphrase or direct quotation, the published or unpublished work of another person without full and clear acknowledgment;
Using materials prepared by another person or agency engaged in the selling of term papers or other academic materials without prior authorization by the instructor;
Engaging in other behavior that a reasonable person would consider plagiarism; or
Engaging in other conduct that a reasonable person would consider dishonesty relating to academic achievement, research results or academically related public service.
Disruptive Behavior
The Student Handbook prohibits the disruption or obstruction of teaching.(Section 3, Category B, subsection 2 in the SD BOR Policies and Procedures)
Activities that are disruptive and/or obstructive to teaching will include, but are not limited to, the following:
Showing up late to class. While it is understandable that a student might be a few minutes late to class there is a limit to how late one can be. As a general rule, it is acceptable for a person that is less than 10 minutes late to enter class. I would like to ask a student that is more than 10 minutes late to class to refrain from entering class. The student can catch me after class if they need to see me.
Eating in class. A student's schedule often has classes that overlap their lunch hour, or doesn't leave time to eat during the day. Please refrain from eating during class. Those with medical conditions that require special accommodations are certainly welcome to speak with me.
No text messaging during class
Electronic noises from Cell Phones, Pagers, PDA'a, computers, or associated electronics will not be tolerated. This last item is the main reason for this written policy. The best advice I can give you is to leave your noisemakers at home or in your car. However, if there is some compelling reason why you require such a device then make sure your device is turned off, or is set to vibrate.
If an electronic device disrupts class then the owner will sacrifice their highest classroom participation score for each offense, or pay a fine.
The Fine for electronic device disruption is the purchase of cookies for the entire class.
Laptop Policy
The use of a tablet or laptop should be a tool that will enhance student learning.
It is expected that you will make appropriate in class use of tablets (or laptops), which means they should be used on
tasks relevant to the current classroom activities, such as,
Taking Notes (You should have access to OneNote & Windows Journal)
Using other software as called for in class by the instructor
There will be situations where all devices will be required to be shutdown for portions of the class.
Note: Failure of a student to appropriately use their electronic devices in class will result in suspension of usage during class, or the student will be asked to leave the class and will not retain any credit of participation for that day.
Copyright and Terms of Use
All the material authored by the faculty member is for class use only. This means you can use the classroom materials for your personal use related to learning the subject
and you can retain this material for your own personal use and reference later. If you have the desire to capture photos of what is written on the board during class then please get permission first. Video capture is
not allowed and violates the terms of use. Any reproduction, posting or distribution of materials beyond classroom personal use is prohibited. Please note that lectures, presentations, and other course materials are protected intellectual property under South Dakota Board of Regents Policy. Accordingly, recording and disseminating lectures, presentations or course materials is strictly prohibited without the express permission of the faculty member. Violation of this prohibition may result in the student being subject to Student Conduct proceedings under SDBOR Policy 3:4.
Software
We will be using Matlab and LaTeX in this class. Matlab can be accessed via any of the ITS lab machines. Students can rent Tablet PC by the hour from Tablet Central in the library.
LaTeX is a open source software package and we will provide instructions on how to locate and download this software. If you happen to use any other
software as part of a homework
assignment then please clearly identify your use in the write up for the assignment. Tentative Course Outline
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 6
Linear Systems
Keys to Success
This is an important course to many of the major degree programs on campus.
The keys to success are simple concepts, but are important enough to state.
Attend and participate in class.
Keep up with the pace of the course.
Read the assigned material.
Take notes (and review your notes)
If you don't understand something then ask questions, go to
office hours, or go to the learning center.
Set aside plenty of time to work on assignments and exams.
State Policy on Freedom in learning.
Under Board of Regents and University policy student academic performance may be evaluated solely on an academic basis, not on opinions or conduct in matters unrelated to academic standards. Students should be free to take reasoned exception to the data or views offered in any course of study and to reserve judgment about matters of opinion, but they are responsible for learning the content of any course of study for which they are enrolled. Students who believe that an academic evaluation reflects prejudiced or capricious consideration of student opinions or conduct unrelated to academic standards should contact the Provost and Vice President for Academic Affairs to initiate a review of the evaluation.
The university administration asked to include the following in the syllabus. Please note this information was not created by the instructor. Please contact Kate Alley at Kate.Alley@sdsmt.edu if you have questions.
Campus COVID-19 Details
Mitigating the spread of COVID-19 is everyone's responsibility. In order to ensure your health and safety and that of the entire campus community, please monitor your health daily and abide by the following protocols:
If you are exposed to COVID-19, develop COVID-19 symptoms, or anticipate being absent for more than two weeks due to COVID-19, communicate your circumstances immediately via deanofstudents@sdsmt.edu. The Dean of Students office will communicate with your instructor(s) and provide appropriate University communication to impacted parties while also preserving privacy.
If you miss class due to medical reason, please inform your instructor(s) in a timely fashion.
If you have been told to isolate or quarantine, you cannot attend classes in person. You should ask your instructor(s) about options for remote participation. Your instructor(s) will work with you to determine whether remote participation, an incomplete grade, or withdrawal is most appropriate.
COVID-19 Attendance Policy
Out of an abundance of caution, you should contact the Dean of Students office at deanofstudents@sdmst.edu and not come to class if you experience any symptoms associated with COVID-19 (fever or chills, cough, shortness of breath or difficulty breathing, fatigue, muscle or body aches, headache, new loss of taste or smell, sore throat, congestion or runny nose, nausea or vomiting, diarrhea). The Dean of Students will contact your instructor(s). Any make-up of course requirements missed shall be worked out between you and your instructor(s). Your responsibility is to follow up with your instructor(s) quickly. Instructor(s) will respond with the aim of being flexible while retaining the integrity of your academic experience. To facilitate this process, you should do any or all of the following if you are able:
Join scheduled synchronous remote class sessions;
Participate in remote class activities, whether synchronous or asynchronous;
Keep up with classwork;
Submit assignments digitally;
Work with your instructor(s) to try to reschedule exams, labs, and other critical academic activities.
Even if your absence has not been validated by the Dean of Students, instructors are required to allow for such make-up in a timely manner. You, on the other hand, are required to remain in timely contact with your instructor(s) to the greatest degree possible. Failure to communicate quickly and follow up my result in your inability to complete your semester.
COVID-19 Face Covering Policy
Under the COVID-19 Face Covering Protocol approved by the South Dakota Board of Regents, SD Mines begins the fall term at Level 3, which requires face coverings in all public indoor spaces on campus. If you come to class not wearing an appropriate face covering, you will be asked to put one on. If supplies exist, a disposable mask will be provided if you do not have one. If no mask is available, you will be advised about virtual education options under the Informal Correction process in the COVID-19 Face Covering Protocol. If you decline to wear a face covering and do not leave the classroom, you will be referred to the Dean of Students for Formal Correction under the COVID-19 Face Covering Protocol, which may include noncompliance with the Student Code of Conduct. Your instructor(s) may be required to provide virtual options for you to continue to participate in the course until the allegations against you of non-compliance are resolved. Students who repeatedly come to class without a face covering will be subject to the consequences outlined in the COVID-19 Face Covering Protocol.