Title and Quantity: Linear Algebra – Math 3361
Teacher: Ricardo Teixeira
Time period: Spring 2, from Mar 21 to Might 13
Workplace Cellphone: (361) 570.4206
E mail: teixeirar@uhv.edu (most popular method of communication)
Course Description: Vector areas, linear transformation, illustration of linear
transformations by matrices, matrix algebra, determinants, programs of linear equations and
eigenvalue issues. Functions to 2D and 3D geometric modeling, laptop 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
Non-compulsory Materials: You could wish to additionally purchase the bodily copy of the
textbook ISBN-13: 978-8131530245
Webassign: You should have entry to a pc and a quick web
connection. You additionally should have the textbook (not less than the e-book) and
entry Webassign usually. Laptop or web issues won’t be
legitimate justifications for asking for extensions on assignments. Entry it through
www.webassign.web.
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) Area
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. Interior 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 every week. The next
assignments will Help you 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
publish in a strategy to present a deeper understanding of the content material, or a doable utility
of the ideas, if doable. Each week we can have one dialogue board with a
minimal of two posts per scholar. They are going to be assigned via Blackboard
(elearning.uhv.edu).
• First publish to be accomplished by Wednesday,
• Second publish to be accomplished by Friday.
• Homework assignments (30%): project will include questions that cowl primary
information, and in addition a deeper understanding of the content material in theoretical or utilized
conditions. For every part from the guide, we can have one project. These
assignments are usually not timed however can have deadlines. Due Saturdays. They are going to be on
Webassign (www.webassign.web).
• Midterm (25%): proper after week Four, this midterm will cowl Modules 1 to Four. It can
have round 50 questions, with questions taken from the identical financial institution of questions because the
modules’ assignments. This take a look at shall be timed: 2 hours to finish it. Due Sunday
after Module Four. It is going to be on Webassign (www.webassign.web).
• Ultimate examination (25%): Just like midterm, will probably be on week eight. It won’t be
cumulative. It can cowl modules 5-7. It is going to be on Webassign (www.webassign.web).
There shall be no make-up actions, until there’s an emergency, by which case a written
justification shall be required. If you happen to miss an exercise, you’ll mechanically obtain zero.
Grade distribution: (the teacher reserves the suitable 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 teacher won’t make any curves on grades.
Blackboard use: We are going to use Blackboard and the Webassign system.
Bulletins, syllabus, calendars, and extra shall be accessible on
Blackboard: https://elearning.uhv.edu
Essential: Laptop Science and Math majors should obtain a grade of C or increased in all
Laptop Science and Math programs used as prerequisite or transferred from different establishments.
Any such course by which a scholar acquired a D, F, or W have to be repeated.
Netiquette: Use the next rule of thumb “for those who 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 publish irrelevant hyperlinks, feedback, ideas, or photos.
three. Don’t kind in ALL CAPS! If you happen to do, it is going to appear to be you’re screaming.
Four. Don’t write something that sounds indignant or sarcastic, at the same time as a joke, as a result of with out
listening to your tone of voice, your friends may not understand 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. If you happen to really feel the necessity to disagree, accomplish that
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. If you happen to reply to a Question Assignment from a classmate, ensure that your reply is correct! If
you’re not 100% positive when the paper is due, DO NOT GUESS! In any other case, you possibly can
actually mess issues up in your classmates and they won’t recognize it.
eight. If you happen to ask a Question Assignment and many individuals reply, summarize all solutions and publish that
abstract to profit your entire class.
9. Be transient. If you happen to write a protracted dissertation in response to a easy Question Assignment, it’s unlikely
that anybody will spend the time to learn via all of it.
10. Test the latest feedback earlier than you reply to an older remark, for the reason that
difficulty may 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 satisfy, and certainly an funding to guard, in serving to to
make sure that tutorial achievement is characterised by honesty and truthful play” (UHV Scholar Handbook). The
College takes tutorial integrity very significantly. It’s your duty to know what conduct violates
tutorial honesty guidelines and to know the implications for such violations. Please seek advice from the UHV Scholar
Handbook: https://www.uhv.edu/handbook/academic-honesty-policy/
Plagiarism: Plagiarism is an more and more widespread type of tutorial misconduct. All of the next are
thought-about plagiarism:
• delivering another person’s work as your personal
• 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 could be averted, nevertheless, by citing sources. Merely acknowledging that sure materials
has been borrowed and offering your viewers with the knowledge 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 People with Disabilities Act of 1990, pertaining to the supply of
affordable tutorial changes / auxiliary aids for college kids who’ve a incapacity. In accordance with Part 504
and ADA tips, the College of Houston-Victoria strives to offer affordable tutorial changes /
auxiliary aids to college students who request and require them. If you happen to imagine that you’ve got a incapacity requiring an
tutorial adjustment/auxiliary support, please contact the UHV Workplace of Incapacity Companies; College Commons, 2108
A; Workplace – 361-570-4287; Fax – 361-580-5504; E mail – Incapacity Companies (DisabilityServices@uhv.edu);
Web site – Incapacity Companies (www.uhv.edu/disability-services).
Scholar Companies: The Educational Middle affords writing help, subject-area tutoring, testing providers, and
info assets. For added info: 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’ve got a non-academic grievance or grievance, please contact Scholar Companies at 361-
470-4133. When you’ve got an instructional grievance or grievance, please contact your faculty’s dean. Please seek advice from the
UHV Scholar Handbook for added info: http://www.uhv.edu/HandBook/
Title IX: Sexual Misconduct: The College of Houston System together with UHV seeks to offer an academic
atmosphere 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). If you happen to report any sexual misconduct to me, I’m required to
share that info with our Title IX Coordinators. For extra details about the united statesSexual Misconduct
coverage and counseling and Help assets 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 atmosphere. In case your
conduct is disruptive, I’ll take away you from class and you can 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 scholar studying. The
classroom extends to any setting the place a scholar is engaged in work towards tutorial credit score or satisfaction
of program-based necessities or associated actions.” (https://www.uhv.edu/handbook/code-of-conduct/)
Test Listing for the primary week:
1. Register on Webassign and purchase the entry code (there’s a small grace interval
earlier than cost is due, so register ASAP):
a. Go to www.webassign.web
b. Click on on “I HAVE A CLASS KEY” (proper of the web page)
i. There shall be three packing containers, on the primary field, enter uhv
ii. On the second field, enter 0155
iii. On the third field, enter 1081
2. Get aware of the principles on this syllabus.
three. Get aware of Webassign. Learn to entry the textbook.
https://webassign.com/Help/student-support/
Four. Non-compulsory: mark the vital dates on a calendar app in your telephone
5. Non-compulsory: 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 publish on Blackboard dialogue Board
(https://elearning.uhv.edu)
three. By Friday 11:59pm: reply to another person’s publish 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.web
Exams:
1. Midterm: due Sunday 11:59pm after Module Four, protecting Modules 1-Four on
www.webassign.web
2. Ultimate examination: due Sunday on week eight at 11:59pm, protecting Modules 5-7 on
www.webassign.web
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