Posted: March 24th, 2022

Course Description: Vector spaces, linear transformation, representation of linear

Title and Quantity: Linear Algebra – Math 3361
Teacher: Ricardo Teixeira
Time period: Spring 2, from Mar 21 to Might 13
Workplace Telephone: (361) 570.4206
Electronic mail: teixeirar@uhv.edu (most well-liked technique of communication)
Course Description: Vector areas, linear transformation, representation of linear
transformations by matrices, matrix algebra, determinants, programs of linear equations and
eigenvalue issues. Functions to 2D and 3D geometric modeling, pc graphics, and
digital sport programming.
Stipulations: MATH 2414 or MATH 3362.
Required Textbook: Webassign entry for Linear Algebra: A Fashionable
Introduction, Four/e, by David Poole, Cengage Studying
Optionally available Materials: You could need to additionally purchase the bodily copy of the
textbook ISBN-13: 978-8131530245
Webassign: You will need to have entry to a pc and a quick web
connection. You additionally should have the textbook (at the least the e-book) and
entry Webassign frequently. Pc or web issues won’t be
legitimate justifications for asking for extensions on assignments. Entry it through
www.webassign.internet.
Class key:
uhv 0155 1081
Course Map:
Module 1: Vectors (Chapter 1)
March 21 – March 26
1.zero. Introduction: The Racetrack Recreation
1.1. The Geometry and Algebra of Vectors
1.2. Size and Angle: The Dot Product
1.three. Strains and Planes
1.Four. Functions
Module 2: System of Linear Equations (Chapter 2)
March 27 – April 2
2.zero. Introduction: Triviality
2.1. Introduction to Methods of Linear Equations
2.2. Direct Strategies for Fixing Linear Methods
2.three. Spanning Units and Linear Independence
2.Four. Functions
Module three: Matrices (Chapter three)
April three – April 9
three.zero. Introduction: Matrices in Motion
three.1. Matrix Operations
three.2. Matrix Algebra
three.three. The Inverse of a Matrix
three.Four. The LU Factorization
three.5. Subspaces, Foundation, Dimension, and Rank
three.6. Introduction to Linear Transformations
three.7. Functions
Module Four: Eigenvalues and Eigenvectors (Chapter Four)
April 10 – April 16
Four.zero. Introduction: A Dynamical System on Graphs
Four.1. Introduction to Eigenvalues and Eigenvectors
Four.2. Determinants
Four.three. Eigenvalues and Eigenvectors of n×n Matrices
Four.Four. Similarity and Diagonalization
Four.5. Iterative Strategies for Computing Eigenvalues
Four.6. Functions and the Perron-Frobenius Theorem
Module 5: Orthogonality (Chapter 5)
April 17 – April 23
5.zero. Introduction: Shadows on a Wall
5.1. Orthogonality in ℝn
5.2. Orthogonal Enhances and Orthogonal Projections
5.three. The Gram-Schmidt Course of and the QR Factorization
5.Four. Orthogonal Diagonalization of Symmetric Matrices
5.5. Functions
Module 6: Vector Scpaces (Chapter 6)
April 24 – April 30
6.zero. Introduction: Fibonacci in (Vector) House
6.1. Vector Areas and Subspaces
6.2. Linear Independence, Foundation, and Dimension
6.three. Change of Foundation
6.Four. Linear Transformations
6.5. The Kernel and Vary of a Linear Transformation
6.6. The Matrix of a Linear Transformation
6.7. Functions
Module 7: Distance and Approximations (Chapter 7)
Might 1 – Might 7
7.zero. Introduction: Taxicab Geometry
7.1. Internal Product Areas
7.2. Norms and Distance Capabilities
7.three. Least Squares Approximation
7.Four. The Singular Worth Decomposition
7.5. Functions
Assignments: It’s important that you simply research Arithmetic a number of instances in per week. The next
assignments will provide help to with this process.
• Dialogue Board (20%): on every module, college students will take part in a dialogue
board involving a number of of the module’s ideas, and a reply to another person’s
submit in a method to present a deeper understanding of the content material, or a attainable utility
of the ideas, if attainable. Each week we could have one dialogue board with a
minimal of two posts per pupil. They are going to be assigned by means of Blackboard
(elearning.uhv.edu).
• First submit to be accomplished by Wednesday,
• Second submit to be accomplished by Friday.
• Homework assignments (30%): task will include questions that cowl fundamental
information, and likewise a deeper understanding of the content material in theoretical or utilized
conditions. For every part from the ebook, we could have one task. These
assignments should not timed however could have deadlines. Due Saturdays. They are going to be on
Webassign (www.webassign.internet).
• Midterm (25%): proper after week Four, this midterm will cowl Modules 1 to Four. It’ll
have round 50 questions, with questions taken from the identical financial institution of questions because the
modules’ assignments. This take a look at will likely be timed: 2 hours to finish it. Due Sunday
after Module Four. It will likely be on Webassign (www.webassign.internet).
• Closing examination (25%): Much like midterm, will probably be on week eight. It won’t be
cumulative. It’ll cowl modules 5-7. It will likely be on Webassign (www.webassign.internet).
There will likely be no make-up actions, until there may be an emergency, during which case a written
justification will likely be required. Should you miss an exercise, you’ll mechanically obtain zero.
Grade distribution: (the teacher reserves the best to change these bounds solely to profit college students, in different
phrases, the “cutoff” for some letters could also be slight lower than what’s described right here).
A: 90 – 100 B: 80 – 89 C: 70 – 79 D: 60 – 69 F: beneath 60
Curves on Grades: The trainer won’t make any curves on grades.
Blackboard use: We’ll use Blackboard and the Webassign system.
Bulletins, syllabus, calendars, and extra will likely be accessible on
Blackboard: https://elearning.uhv.edu
Vital: Pc Science and Math majors should obtain a grade of C or greater in all
Pc Science and Math programs used as prerequisite or transferred from different establishments.
Any such course during which a pupil acquired a D, F, or W should be repeated.
Netiquette: Use the next rule of thumb “should you wouldn’t do or say one thing in actual life,
don’t do it on-line both.
1. Earlier than posting your Question Assignment to a dialogue board, test if anybody has requested it
already and acquired a reply.
2. Keep on matter, don’t submit irrelevant hyperlinks, feedback, ideas, or photos.
three. Don’t kind in ALL CAPS! Should you do, it’ll seem like you’re screaming.
Four. Don’t write something that sounds offended or sarcastic, whilst a joke, as a result of with out
listening to your tone of voice, your friends won’t notice you’re joking.
5. At all times keep in mind to say “Please” and “Thanks” when soliciting Help out of your
classmates.
6. Respect the opinions of your classmates. Should you really feel the necessity to disagree, achieve this
respectfully and acknowledge the legitimate factors in your classmate’s argument.
Acknowledge that others are entitled to have their very own perspective on the difficulty.
7. Should you reply to a Question Assignment from a classmate, be certain that your reply is correct! If
you’re not 100% certain when the paper is due, DO NOT GUESS! In any other case, you could possibly
actually mess issues up in your classmates and they won’t respect it.
eight. Should you ask a Question Assignment and many individuals reply, summarize all solutions and submit that
abstract to profit your complete class.
9. Be transient. Should you write a protracted dissertation in response to a easy Question Assignment, it’s unlikely
that anybody will spend the time to learn by means of all of it.
10. Verify the latest feedback earlier than you reply to an older remark, because the
situation might need already been resolved or opinions could have modified.
11. Run a spelling and grammar test earlier than posting something to the dialogue board. It
solely takes a minute and may make the distinction between sounding like a idiot and
sounding educated.
STANDARD UHV COURSE POLICIES:
Educational Integrity: “College students. . . have a duty to meet, and certainly an funding to guard, in serving to to
be certain that educational achievement is characterised by honesty and honest play” (UHV Scholar Handbook). The
College takes educational integrity very critically. It’s your duty to know what conduct violates
educational honesty guidelines and to know the results for such violations. Please discuss with the UHV Scholar
Handbook: https://www.uhv.edu/handbook/academic-honesty-policy/
Plagiarism: Plagiarism is an more and more frequent kind of educational misconduct. All of the next are
thought-about plagiarism:
• delivering another person’s work as your individual
• copying phrases or concepts from another person with out giving credit score
• failing to place a citation in citation marks
• giving incorrect details about the supply of a citation
• altering phrases however copying the sentence construction of a supply with out giving credit score
• copying so many phrases or concepts from a supply that it makes up the bulk of your work, whether or not
you give credit score or not.
Most instances of plagiarism might be averted, nevertheless, by citing sources. Merely acknowledging that sure materials
has been borrowed and offering your viewers with the data crucial to seek out that supply, is often
sufficient to forestall plagiarism.
[tailored from: https://www.plagiarism.org/article/what-is-plagiarism}
Companies for College students with Disabilities: The College of Houston System complies with Part 504 of the
Rehabilitation Act of 1973 and the Individuals with Disabilities Act of 1990, pertaining to the availability of
affordable educational changes / auxiliary aids for college kids who’ve a incapacity. In accordance with Part 504
and ADA pointers, the College of Houston-Victoria strives to offer affordable educational changes /
auxiliary aids to college students who request and require them. Should you consider that you’ve a incapacity requiring an
educational adjustment/auxiliary Help, please contact the UHV Workplace of Incapacity Companies; College Commons, 2108
A; Workplace – 361-570-4287; Fax – 361-580-5504; Electronic mail – Incapacity Companies (DisabilityServices@uhv.edu);
Web site – Incapacity Companies (www.uhv.edu/disability-services).
Scholar Companies: The Educational Heart presents writing help, subject-area tutoring, testing providers, and
data sources. For extra data: name 361-570-4288 or Toll Free: 1-877-970-4848, ext. 288; or
go to their web site: http://www.uhv.edu/ac.
Grievance Process: When you have a non-academic grievance or grievance, please contact Scholar Companies at 361-
470-4133. When you have an instructional grievance or grievance, please contact your college’s dean. Please discuss with the
UHV Scholar Handbook for extra data: http://www.uhv.edu/HandBook/
Title IX: Sexual Misconduct: The College of Houston System together with UHV seeks to offer an academic
surroundings free from intercourse discrimination, together with non-consensual sexual contact, sexual assault, sexual
harassment, interpersonal violence and stalking. We encourage you to report any sexual misconduct to UHV Title IX
Coordinators (361-570-4835; College West 116). Should you report any sexual misconduct to me, I’m required to
share that data with our Title IX Coordinators. For extra details about the united statesSexual Misconduct
coverage and counseling and Help sources accessible to you, go to http://www.uhv.edu/title-ix
Scholar Conduct: College students are anticipated to take part in a mutually respectful studying surroundings. In case your
conduct is disruptive, I’ll take away you from class and you’ll be referred to the Workplace of Scholar Affairs and/or
the Educational Dean. Disruptive conduct is outlined by the Scholar Code of Conduct as:
“three.6 Disruptive Classroom Conduct – Disruptive classroom conduct means participating in conduct that
considerably or repeatedly interrupts both the teacher’s capability to show or pupil studying. The
classroom extends to any setting the place a pupil is engaged in work towards educational credit score or satisfaction
of program-based necessities or associated actions.” (https://www.uhv.edu/handbook/code-of-conduct/)
Verify Record for the primary week:
1. Register on Webassign and purchase the entry code (there’s a small grace interval
earlier than fee is due, so register ASAP):
a. Go to www.webassign.internet
b. Click on on “I HAVE A CLASS KEY” (proper of the web page)
i. There will likely be three bins, on the primary field, enter uhv
ii. On the second field, enter 0155
iii. On the third field, enter 1081
2. Get conversant in the principles on this syllabus.
three. Get conversant in Webassign. Discover ways to entry the textbook.
https://webassign.com/Help/student-support/
Four. Optionally available: mark the vital dates on a calendar app in your telephone
5. Optionally available: browse the course content material and Assessment math you don’t really feel
snug.
Typical week within the course:
1. Starting of the week:
a. Watch movies
b. Learn the textbook
2. By Wednesday 11:59pm: write the primary submit on Blackboard dialogue Board
(https://elearning.uhv.edu)
three. By Friday 11:59pm: reply to another person’s submit with a significant contribution
to the subject.
Four. By Saturday 11:59pm: Homework assignments from the modules are due (there
are some totally different homework assignments per module): www.webassign.internet
Exams:
1. Midterm: due Sunday 11:59pm after Module Four, overlaying Modules 1-Four on
www.webassign.internet
2. Closing examination: due Sunday on week eight at 11:59pm, overlaying Modules 5-7 on
www.webassign.internet

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