Math 1070 Fall Semester 2020
or virtually via Zoom
(meeting ID info on Canvas Announcements)
Aug 19, 2020 - Nov 20, 2020
Office Hours
MW
3:00 - 4:00, and by appointment (also via zoom)
Office: Thackeray 606
Phone: (412) 624 5681
E-mail: trenchea@pitt.edu
This course is an introduction to modern numerical methods.
Topics include polynomial and spline interpolation, numerical
integration and differentiation, numerical solution of nonlinear
equations and ordinary differential equations. Our goal will be to
understand how and when the methods work. The concept of numerical error
will be used to quantify the accuracy of approximation. We will also
study the stability and the efficiency of the algorithms.
Computer assignments will use Matlab, software produced
by The MathWorks. The Matlab language provides extensive library of
mathematical and
scientific function calls entirely built-in.
Matlab
is available on Unix and Windows in the university computing labs.
The full set of manuals is on the web in
html
and also in
Adobe PDF format. The "Getting Started" manual is a good
place to begin and is available both in html
format and in Adobe
PDF format. The full reference manual as well as manuals for each
of the many toolboxes are all available.
Course Delivery
The University has adopted the
Flex@Pitt teaching model for this semester, and instruction will vary in form
depending on the University’s current operational posture. The bullet points below outline how this strategy will typically
be implemented in this course, but your instructor may choose to tailor the plan to fit your section,
so consult your instructor’s specific directions on Canvas.
-
In the
Elevated Risk and High Risk postures, all instruction will be conducted remotely, and there will be no in-person class meetings. Typically this means your instructor will hold virtual class meetings through Zoom at the scheduled class time, and the links to join these synchronous meetings will be posted in Canvas. The class meetings will be recorded, uploaded to Panopto, and made available for viewing through Canvas.
-
In the Guarded Risk posture, students will have the option to participate remotely or attend in-person class meetings in their section’s assigned classroom at the scheduled class time. However, some sections may not have been assigned a classroom and will only be forced to meet remotely instead. Other sections may be assigned a classroom whose capacity with social distancing will permit only a portion of the students to attend on any given day. In that case, your instructor will divide the class into student cohorts, and each cohort will be assigned days that it is permitted to attend the class in person. No student will be required to attend the in-person meetings. Your instructor may choose to teach in-person, in which case the classroom will be recorded and connected to Zoom so that students participating remotely will be able to join the class meeting synchronously or watch the recorded session at a later time. Your instructor may also choose to teach remotely, in which case they will be connected to the classroom through Zoom, and students will be able to attend the class in-person (on their cohort’s assigned days) or remotely. Your instructor will communicate the details of their plan through Canvas.
During the week of August 19, 2020, all instruction will be conducted remotely, regardless of the University’s operational posture.
Tutoring: The Mathematics Department offers a free tutoring service.
The
Math Assistance Center (MAC) is located on the second floor of the O’Hara Student Center.
Tutoring services and tutoring hours will be posted outside the MAC as well as on the web at MAC.
Course materials
Textbook:
Elementary Numerical Analysis,
3rd edition by
Kendall Atkinson
and Weimin Han.
Syllabus
Matlab Primer
Matlab Tutorial:
Postscript;
HTML
MATLAB computer lab
exercises by Dr. John Burkardt.
Introduction to Matlab
by Dr. Mike Sussman:
Preliminaries;
Beginning Matlab
For useful material related to this course go to
Kendall Atkinson's class web page
Software
A collection of matlab codes accompanying the text
Some graphical user interfaces
Additional references
:
Numerical Mathematics, second edition, by A. Quarteroni, R. Sacco, F. Faleri.
Book's Programs
Numerical Methods in Scientific Computing, volume I, by G. Dahlquist, A. Bjorck. SIAM.
Numerical Methods, by G. Dahlquist, A. Bjorck. Dover.
Homework Assignments
Homework 1, Due Friday,
August 28, 2020:
Section 1.1 # 9, Section 1.2 #6, 9c, 15, 17
Homework 2, Due Monday,
September 7, 2020: Section 2.2 #1b,d, 5b,c, 6f,h;
Section 2.3 #9
Homework 3, Due Monday,
September 14, 2020: Section 4.1 #7, 8a, 12-bonus,
23a, 25
Homework 4, Due Friday,
September 25, 2020: Section 4.2 #1, 4;
Section 4.3 #1, 11;
Hermite interpolation problem
Homework 5, Due Friday,
October 5, 2020: Section 5.1 #1, 11b,c, 16
Homework 6, Due Wednesday,
October 14, 2020: Section 5.2 #1a, 7, 15, 19
Homework 7, Due Wednesday,
October 21: Section 5.3 #2 - only do I-2,
I-3 for 2a,b,c; #9; Section 5.4 #1a, #3 - only do a), #8, #9 - only do a)
Homework 8, Due Friday,
October 30, 2020: Section 3.1 #1d, 9;
Section 3.2 #2d, 3, 13 (extra credit); Section 3.3 #1d, 4
Homework 9, Due Friday,
November 6, 2020: Section 3.4 #1, 5, 8, 11, 13a
Homework 10, Due Friday,
November 13, 2020: Section 3.5 #1 (use the code from
newton.m, error_bd = 1e-8, x0 = -1 and 1), 8
Homework 11, Due Wednesday,
November 20, 2020
Matlab Assignments
Matlab Exercise 1. Due
August 28, 2020.
Matlab Exercise 2. Due
October 13, 2020.
Matlab Exercise 3. Due
October 30, 2020.
Matlab Exercise 4. Due
November 13, 2020.
Exams
Exam 1:
October 2, 2020.
Exam 2:
October 30, 2020.
Final Exam:
12/1/2020, Tuesday
12:00PM - 1:50PM.
Disability Resource Services
If you have a disability for which you are or may be requesting an accommodation, you are encouraged to contact both your
instructor and
Disability Resources and Services (DRS),
140 William Pitt Union, 412-648-7890,
drsrecep@pitt.edu, (412) 228-5347 for P3 ASL users, as early as possible in the term. DRS will verify your disability and determine reasonable accommodations for this course.
Academic Integrity
The University of Pittsburgh Academic Integrity Code is available at https://www.provost.pitt.edu/faculty/academic-integrity-freedom/academic-integrity-guidelines.
The code states that
" A student has an obligation to exhibit honesty and to respect the ethical standards of the academy in carrying out his or her academic assignments."
The website lists examples of actions that violate this code. Students are expected to adhere to the Academic Integrity Code, and violations of the code will be dealt with seriously.
On homework, you may work with other students or use library resources,
but each student must write up his or her solutions independently.
Copying solutions from other students will be considered cheating,
and handled accordingly.
This is especially notable during this Flex period. Cheating/plagiarism will not be tolerated.
Students suspected of violating the University of Pittsburgh Policy on Academic Integrity will incur a minimum sanction of a
zero score for the quiz, exam or paper in question.
Additional sanctions may be imposed, depending on the severity of the infraction.
Please note, in particular, that Pitt has a data sharing arrangement with Chegg.com that enables us to identify in- stances in which Chegg.com has been used to cheat on assessments. Consequences of being caught in this academic integrity violation have included zero scores on assessments and F grades for the course.
Health and Safety
In the midst of this pandemic, it is extremely important that you abide by public health regulations and
University of Pittsburgh health standards and guidelines.
While in class, at a minimum this means that you must wear a face covering and comply with physical distancing requirements;
other requirements may be added by the University during the semester.
These rules have been developed to protect the health and safety of all community members.
Failure to comply with these requirements will result in you not being permitted to attend class in person and could
result in a Student Conduct violation. For the most up-to-date information and guidance, please visit
coronavirus.pitt.edu and check your Pitt email for updates before each class.
Diversity and Inclusion
The University of Pittsburgh does not tolerate any form of discrimination, harassment,
or retaliation based on disability, race, color, religion, national origin, ancestry, genetic information, marital status,
familial status, sex, age, sexual orientation, veteran status or gender identity or other factors as stated in the
University’s
Title IX policy.
The University is committed to taking prompt action to end a hostile environment that interferes with the University’s mission.
For more information about policies, procedures, and practices, see:
https://www.diversity.pitt.edu/civil-rights-title-ix-compliance/policies-procedures-and-practices.
Classroom Recording
To ensure the free and open discussion of ideas, students may not record classroom lectures, discussion and/or activities not already recorded by the instructor, without the advance written permission of the instructor, and any such recording properly approved in advance can be used solely for the student’s own private use.
Lectures will be recorded by the instructor, and this may include student participation. Students are not required to participate in the recorded conversation. The recorded lecture may be used by the faculty member and the registered students only for internal class purposes and only during the term in which the course is being offered.
Recorded lectures will be uploaded and shared with students through Canvas.
Copyright
Some of the materials in this course may be protected by copyright.
United States copyright law, 17 USC section 101, et seq., in addition to University policy and procedures,
prohibit unauthorized duplication or retransmission of course materials.
See the Library of Congress Copyright Office
and the
University Copyright Policy.