MTH 351: Introduction to Numerical Analysis
Spring 2020

Professor

Dr. Vrushali Bokil
Office Hours: MF 1-1:50pm or by Appt.
Email:Click to email: bokilv at math dot oregonstate dot edu

Disclaimer: Due to the rapid and unprecedented switch to remote education, the instructor, Professor Bokil, reserves the right to make changes to the syllabus throughout the term. Modes of delivery, assessment methods, communication preferences, or other course items might change if we discover the technology does not meet our needs or better ideas emerge. Instructors will do their best to provide ample notice, but students are responsible for checking email regularly and for accommodating course changes.

Note: Outside of remote class and office hours, questions should be addressed via email. Emails will be answered during working hours between 9am-5pm. Depending on my schedule, emails may not get answered the same day. So please allow 24 hours for a response.


Course Information

Time: MWF 11:00-11:50 am.
Classroom: Remote (see CANVAS page for Zoom details) See this site for Zoom information.
Registration Details: Section 002, CRN 55291

Prerequisites: MTH 253 or (MTH 306 or 306H) or ((MTH 264 or 264H) and (MTH 265 or 265H)). A minimum grade of C- is required in these courses.

Recommended: Programming experience. Experience with MATLAB is a plus. Please contact me to discuss your background if you do not have the necessary prerequisites.

Required Textbook :
Elementary Numerical Analysis, 3rd Edition by Kendall Atkinson and Weimin Han [AH].

Course Description:
This course is an introduction to the subject of Numerical Analysis. The underlying themes of this subject are the approximation of problems of continuous mathematics by simpler problems, the construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas, and the effects of computer arithmetic. The topics that we will consider are solutions of linear and nonlinear equations, interpolation and approximation, and numerical integration and differentiation. We will study approximate solutions to mathematical problems for which an analytical (or exact) form of the solution cannot be found, and introduce several methods of computing such approximations. The analysis of errors that are inevitably introduced in these approximate methods will also be an important part of this course. We will cover topics from Chapters 1-5 from the class text [AH]. If time permits we will also touch upon some sections of Chapter 7, in particular Sec 7.1 on least squares data fitting.


My Links:

Handouts from Professor Bokil
Lectures: [AH] Authors
MATLAB Resources
Professor Bokil's Homepage

Other Links:

CANVAS
Department of Mathematics
Oregon State University
Remote & Online Learning
Zoom, CANVAS information
Covid-19 News

Learning Outcomes: Students completing Math 351 will be able to:

  • Obtain an intuitive and working understanding of some well-known numerical methods for the basic problems of numerical analysis, as mentioned in the course description above, and apply these methods to solve a variety of problems of continuous mathematics. Understand advantages and disadvantages of various methods.
  • Analyze numerical methods to determine properties of error and convergence. Gain some appreciation of the concept of error and the need to analyze and predict it.
  • Develop some experience in the implementation of numerical methods by using a computer, including an understanding of computer arithmetic and its effects. More specifically, utilize MATLAB codes to understand the performance of methods.

Reading Assignments: Look at CANVAS modules for sections that will be covered in class for each lecture. Reading material will be assigned in class and on CANVAS. NOTE: While it may not be stated explicitly each day, students are expected to read each section to be covered before class. Questions not addressed during class time should be asked in (remote) office hours. Students are responsible for any material missed due to absence. Also note that, since this is a three credit course, students are expected to work at least 2-3 hours individually for every class meeting. Thus, each student should be spending at least 6-9 hours each week on this course.

Attendance: All students are expected to attend class remotely. Success in this course will depend on your attendance and participation in class activities. Written and Computational Homework assignments, Worksheets, Midterm and Final Exams are due as pdf uploads on CANVAS and have to be turned in by each individual student themselves. Please see the grading and makeup policies below. Please let me know ASAP of any difficulties that you may have in participating remotely, and/or turning in assignments online on the CANVAS site for this class.

MATLAB The programming language for this course is MATLAB. If you have not used this language before you will have time to understand the basics of MATLAB during the first few weeks of classes. A number of different introductory tutorials are available on my website. The textbook presents an introduction to MATLAB in Appendix D; and the programs in the text serve as further examples. Students are encouraged to modify these programs and to use them as models for writing their own MATLAB programs. Look at MATLAB resources for more help.


Course Grading

  • Worksheets (15%): Short worksheets will be posted every Friday (except midterm week and dead week) on CANVAS, and you will be asked to complete these and upload them on Wednesday of the next week. There will be approximately eight worksheets in the term. Students must complete worksheets individually. Please see student ethical conduct and policies below.

  • Written Assignments (20%): There will be approximately five to eight written assignments in the term. Instructions and due dates/times will be posted on CANVAS. You will be given a week to complete each written assignment. Written assignments will be based on problems from the text. Students must complete written assignments individually. Please see student ethical conduct and policies below. Assignments will be posted on CANVAS, and will be due as pdf uploads online on CANVAS. Students should get their questions asked during (remote) office hours or via email. Students are encouraged to get their questions answered in a timely manner.

  • Computational Assignments (20%): There will be approximately five to eight computational assignments in the term, which will comprise writing code in MATLAB. Instructions and due dates/times will be posted on CANVAS. Students must complete computational assignments individually, in particular MATLAB code must be written by each individual! Please see student ethical conduct and policies below. Assignments will be posted on CANVAS, and will be due as pdf uploads online on CANVAS. The relevant output must be included, e.g., detailed explanations of solutions and supporting plots. Students should get their questions asked during (remote) office hours or via email. Students are encouraged to get their questions answered in a timely manner.

  • Midterm (20%): A 50 minute (remote, unproctored) exam will be given Friday May 8, 2020 from 11:00-11:50am. This includes a 20 minute timeframe to download and upload solutions on CANVAS, and 30 minutes of actual writing time. Exact format is subject to change (see disclaimer at the top of this page). Exam problems will be based on class lecture notes, problems covered in lectures, worksheets and problems similar to those assigned as homework. Books, notes, or graphing/programmable calculators will NOT be allowed on exams. You will be allowed the following
    1. A simple (non-programmable, non-graphing) scientific calculator.
    2. Pen or pencil.
    3. Paper to write on (and then upload as a pdf file on Canvas)
    Absence from the midterm gives a score of 0 for the midterm. See makeup policy below.

  • Final (25%): A comprehensive final exam (remote, unproctored) will be given on Thursday, June 11, 2020 at 6:00 pm. Format of exam is subject to change, see disclaimer at the top of this page. The Final is a 110 minute long exam, which will include a 20 minute trameframe to download and upload solutions on CANVAS and 90 minutes of actual writing time. Exam problems will be based on class lecture notes, and problems similar to those from the test bank. Books, notes, or graphing/programmable calculators will NOT be allowed on exams. You will be allowed the following
    1. One 3x5 index card, both sides (to be submitted with the final solutions that are uploaded)
    2. A simple (non-programmable, non-graphing) scientific calculator.
    3. Pen or pencil.
    4. Paper to write on (and then upload as a pdf file on Canvas)
    This date and time is set by OSU. Scheduling conflicts with the final exam must be resolved in advance. An unexcused absence (i.e one that is not reported to Dr. Bokil with proper documentation) on the Final Exam will result in a grade of F in the course. See makeup policy below.

Course Grade Scale: The Grade for the course is determined by the grade on worksheets, the written and computational homework assignments, the midterm and final. Each letter grade below corresponds to grades scored between the lower limit (including) and less than the upper limit (excluding).
A 90 - 100%
A- 87 - 90%
B+ 84 - 87%
B 80 - 84%
B- 77 - 80%
C+ 74 - 77%
C 70 - 74%
C- 67 - 70%
D+ 64 - 67%
D 60 - 64%
D- 57 - 60%
F below 57%


Important Policies, Regulations and Information:

Students should check this class website and the CANVAS classpage for general information, announcements, assignments, due dates, exam dates and other policies regarding the class.

Makeup policy:

  • Makeup Policy for Worksheets, Written and Computational Assignments: Worksheets and assignments will have due dates. There will be no makeups given in general. If you are late by one day you can earn upto 75% of the grade, late by two days upto 50% of the grade, late by three days, upto 25% of the grade. Beyond three days you will not earn any credit unless there is an exceptional reason such as illness or an emergency. Exceptions can be made by reporting issues to Dr. Bokil. Proper documentation will be needed in order to grant a makeup. Dr. Bokil reserves the right to make all decisions in this regard.
  • Makeup Policy for Midterm Exam: There will be no makeup given for the midterms without (preferably) prior request, approval and arrangement with Professor Bokil. If you have an emergency, illness and/or hospitalization or are unable to take the midterm due to work related reasons, please email Dr. Bokil preferably in advance of the exam or as soon as possible, given the circumstances of the situation. Proper documentation will be needed in order to grant a makeup. Dr. Bokil reserves the right to make all decisions in this regard.
  • Makeup Policy for Final Exam: There will be no makeup exams given without prior request, approval and arrangement with Dr. Bokil. Scheduling conflicts with the final exam must be (preferably) resolved in advance with Dr. Bokil. If you have an emergency, illness and/or hospitalization or are unable to take the final exam due to work related reasons, please email Dr. Bokil preferably in advance of the exam or as soon as possible, given the circumstances of the situation. Proper documentation will be needed in order to grant a makeup. Dr. Bokil reserves the right to make all decisions in this regard based on the university guidelines Student Petitions (AR 16: Finals Week) to Change the Time of a Final Examination.

Technology Policy & Unauthorized recording and use Policy: I expect that each student will be present and engaged remotely during class time, unless there are circumstances beyond the students control. When remotely present, please refrain from any distracting and inappropriate behavior in the online classroom out of respect for your classmates and your instructor.

Recording and/or dissemination of instructional content (for example, using the camera on your cell phones) is prohibited, unless express permission of the instructor is obtained for an approved accommodation.

Contacting Dr. Bokil: The best way to contact me is via direct email or message through CANVAS. Best place/time for questions is during (remote) office hours. If you are unable to make it to (remote) office hours you may email your questions to me or set up an appointment. You can expect a response within 24 hours. Do not expect an immediate response. I may not be able to answer any homework questions sent via email after 5pm on workdays and between 5pm on Friday and 8am on the subsequent Monday. Please keep this in mind and start working on assignments in a timely manner.

Getting Help: Short questions can be asked during class. Longer questions should be asked during regular (remote) office hours. Appointments can also be made at other times, and you can reach me by email. Help for prerequisite material (MTH 256, MTH 341) is available at the Mathematics & Statistics Learning Center (MSLC) which provides help for all lower division mathematics courses, and will be providing remote help during Spring 2020. Additional resources for prerequisite material can be found at the Get Help in Your OSU Math Classes site.

Office of Student Life: The Office of Student Life is dedicated to providing educational and developmental opportunities for students to make informed decisions that support their success at Oregon State University. In particular, the following sites will be helpful for you:

  1. Student Ethical Conduct Expectations and Policies: Students are expected to be familiar with Oregon State University’s Statement of Expectations for Student Conduct. Please review and consult material at the following sites.

  2. Statement Regarding Students with Disabilities: Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you, as a student, believe you are eligible for accommodations but have not obtained approval please contact DAS immediately at 541-737-4098 or at Disability Access Services. DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations.

  3. Student Care: Many students face difficult times during college; unexpected life events, personal crises, illness or injury, hospitalization, loss of a loved one, and mental health challenges, are examples of challenges that can interfere with college success. Student Careis designed to help students: Learn and understand Oregon State University policies and procedures, Problem-solve within the university and community, Access referrals for personal matters/emergencies.

Reach Out for Success: University students encounter setbacks from time to time. If you encounter difficulties and need assistance, it’s important to reach out. Consider discussing the situation with an instructor or academic advisor. Learn about resources that assist with wellness and academic success at oregonstate.edu/Reachout. If you are in immediate crisis, please contact the Crisis Text Line by texting OREGON to 741-741 or call the National Suicide Prevention Lifeline at 1-800-273-TALK (8255).

Student Evaluation of Courses: The online Student Evaluation of Teaching system opens to students the Monday of dead week and closes the Monday following the end of finals. Students will receive notification, instructions and the link through their ONID. They may also log into the system via Online Services. Course evaluation results are extremely important and used to help improve courses and the learning experience of future students. Responses are anonymous (unless a student chooses to “sign” their comments agreeing to relinquish anonymity) and unavailable to instructors until after grades have been posted. The results of scaled questions and signed comments go to both the instructor and their unit head/supervisor. Anonymous (unsigned) comments go to the instructor only.

Course Drop/Add and Other Informational Sites: See

  1. OSU Academic Calendar including important add drop dates.
  2. Office of the Registrar
  3. OSU's Grading System
  4. Academic Regulations
  5. Academic Success Center: Remote & Online Learning
  6. Learn@OregonState-Keep Learning
  7. Covid-19 news, resources and updates from OSU Leadership