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Posted: March 24th, 2022

Name and Number: Linear Algebra – Math 3361

Name and Quantity: Linear Algebra – Math 3361

Teacher: Ricardo Teixeira

Time period: Spring 2, from Mar 21 to Might 13

Workplace Cellphone: (361) 570.4206

Electronic mail: teixeirar@uhv.edu (most well-liked technique of communication)

Course Description: Vector areas, linear transformation, illustration of linear

transformations by matrices, matrix algebra, determinants, methods of linear equations and

eigenvalue issues. Purposes to 2D and 3D geometric modeling, laptop graphics, and

digital recreation programming.

Conditions: MATH 2414 or MATH 3362.

Required Textbook: Webassign entry for Linear Algebra: A Trendy

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 will need to have the textbook (not less than the e-book) and

entry Webassign repeatedly. Laptop or web issues is not going to 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

mailto:teixeirar@uhv.edu
http://www.webassign.internet/
1.three. Traces and Planes

1.Four. Purposes

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. Purposes

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. Purposes

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. Purposes 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. Purposes

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. Purposes

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. Purposes

Assignments: It’s important that you simply research Arithmetic a number of occasions in every week. The next

assignments will show you how 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 solution to present a deeper understanding of the content material, or a doable software

of the ideas, if doable. Each week we may have one dialogue board with a

minimal of two posts per scholar. They are going to be assigned by Blackboard

(elearning.uhv.edu).

• First submit to be accomplished by Wednesday, • Second submit to be accomplished by Friday.

• Homework assignments (30%): project will comprise questions that cowl primary data, and additionally a deeper understanding of the content material in theoretical or utilized

conditions. For every part from the e-book, we may have one project. These

assignments will not be timed however may 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 should have round 50 questions, with questions taken from the identical financial institution of questions because the

modules’ assignments. This take a look at might be timed: 2 hours to finish it. Due Sunday

after Module Four. It will likely be on Webassign (www.webassign.internet).

• Remaining examination (25%): Just like midterm, it is going to be on week eight. It is not going to be cumulative. It should cowl modules 5-7. It will likely be on Webassign (www.webassign.internet).

There might be no make-up actions, except there’s an emergency, by which case a written

justification might be required. In the event you miss an exercise, you’ll mechanically obtain zero.

Grade distribution: (the teacher reserves the precise to switch these bounds solely to learn 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 is not going to make any curves on grades.

Blackboard use: We are going to use Blackboard and the Webassign system.

Bulletins, syllabus, calendars, and extra might be obtainable on

Blackboard: https://elearning.uhv.edu

Necessary: Laptop Science and Math majors should obtain a grade of C or greater in all

Laptop Science and Math programs used as prerequisite or transferred from different establishments.

Any such course by which a scholar obtained a D, F, or W should be repeated.

elearning.uhv.edu
http://www.webassign.internet/
http://www.webassign.internet/
http://www.webassign.internet/
https://elearning.uhv.edu/
Netiquette: Use the next rule of thumb “in the event 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, examine if anybody has requested it already and obtained a reply.

2. Keep on subject, don’t submit irrelevant hyperlinks, feedback, ideas, or footage. three. Don’t sort in ALL CAPS! In the event you do, it’s going to 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 may not understand you’re joking.

5. All the time bear in mind to say “Please” and “Thanks” when soliciting Help out of your classmates.

6. Respect the opinions of your classmates. In the event 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. In the event you reply to a Question Assignment from a classmate, be sure your reply is correct! In the event you’re not 100% positive 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 admire it.

eight. In the event you ask a Question Assignment and many individuals reply, summarize all solutions and submit that abstract to learn your complete class.

9. Be transient. In the event you write an extended dissertation in response to a easy Question Assignment, it’s unlikely that anybody will spend the time to learn by all of it.

10. Test the latest feedback earlier than you reply to an older remark, because the concern might need already been resolved or opinions might have modified.

11. Run a spelling and grammar examine earlier than posting something to the dialogue board. It solely takes a minute and could 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 sure that tutorial achievement is characterised by honesty and honest play” (UHV Pupil Handbook). The

College takes tutorial integrity very severely. It’s your duty to grasp what conduct violates

tutorial honesty guidelines and to grasp the implications for such violations. Please seek advice from the UHV Pupil

Handbook: https://www.uhv.edu/handbook/academic-honesty-policy/

Plagiarism: Plagiarism is an more and more frequent type of tutorial misconduct. The entire following are

thought of plagiarism:

• handing over 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 vast majority of your work, whether or not

you give credit score or not.

Most circumstances of plagiarism will be averted, nevertheless, by citing sources. Merely acknowledging that sure materials

has been borrowed and offering your viewers with the knowledge vital to seek out that supply, is normally

sufficient to stop plagiarism.

[tailored from: https://www.plagiarism.org/article/what-is-plagiarism}

Providers 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

cheap 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 cheap tutorial changes /

auxiliary aids to college students who request and require them. In the event you imagine that you’ve a incapacity requiring an

tutorial adjustment/auxiliary Help, please contact the UHV Workplace of Incapacity Providers; College Commons, 2108

https://www.uhv.edu/handbook/academic-honesty-policy/
https://www.plagiarism.org/article/what-is-plagiarism
A; Workplace – 361-570-4287; Fax – 361-580-5504; Electronic mail – Incapacity Providers (DisabilityServices@uhv.edu);

Web site – Incapacity Providers (www.uhv.edu/disability-services).

Pupil Providers: The Educational Middle gives 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 Pupil Providers at 361-

470-4133. When you have an instructional grievance or grievance, please contact your faculty’s dean. Please seek advice from the

UHV Pupil 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). In the event 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 obtainable to you, go to http://www.uhv.edu/title-ix

Pupil 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 may be referred to the Workplace of Pupil Affairs and/or

the Educational Dean. Disruptive conduct is outlined by the Pupil Code of Conduct as:

“three.6 Disruptive Classroom Conduct – Disruptive classroom conduct means partaking in conduct that

considerably or repeatedly interrupts both the teacher’s capacity 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/)

mailto:DisabilityServices@uhv.edu
https://nam04.safelinks.safety.outlook.com/?url=httppercent3Apercent2Fpercent2Fwww.uhv.edupercent2Fdisability-services&knowledge=02%7C01%7CAkinsC%40uhv.edupercent7C896af6f657414b5cb81b08d719c30e15%7C76446035d7ae4edf99340be900515d18%7C0percent7C0percent7C637006197877040690&sdata=f2LDHOApercent2F9M2obdcI64uNClXwTePOnpercent2FvYABNkiZGIpercent2B08%3D&reserved=zero
http://www.uhv.edu/HandBook/
http://www.uhv.edu/title-ix
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 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 might 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 conversant in the foundations on this syllabus. three. Get conversant in Webassign. Discover ways to entry the textbook.

https://webassign.com/help/student-support/ Four. Non-compulsory: mark the necessary dates on a calendar app in your cellphone 5. Non-compulsory: browse the course content material and Assessment math you don’t really feel

comfy.

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, masking Modules 1-Four on www.webassign.internet

2. Remaining examination: due Sunday on week eight at 11:59pm, masking Modules 5-7 on www.webassign.internet

http://www.webassign.internet/
https://webassign.com/help/student-support/
https://elearning.uhv.edu/
http://www.webassign.internet/
http://www.webassign.internet/
http://www.webassign.internet/

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