Name and Number: Linear Algebra \u2013 Math 3361<\/p>\n
Instructor: Ricardo Teixeira<\/p>\n
Term: Spring 2, from Mar 21 to May 13<\/p>\n
Office Phone: (361) 570.4206<\/p>\n
Email: teixeirar@uhv.edu (preferred method of communication)<\/p>\n
Course Description: Vector spaces, linear transformation, representation of linear<\/p>\n
transformations by matrices, matrix algebra, determinants, systems of linear equations and<\/p>\n
eigenvalue problems. Applications to 2D and 3D geometric modeling, computer graphics, and<\/p>\n
digital game programming.<\/p>\n
Prerequisites: MATH 2414 or MATH 3362.<\/p>\n
Required Textbook: Webassign access for Linear Algebra: A Modern<\/p>\n
Introduction, 4\/e, by David Poole, Cengage Learning<\/p>\n
Optional Material: You may want to also buy the physical copy of the<\/p>\n
textbook ISBN-13: 978-8131530245<\/p>\n
Webassign: You must have access to a computer and a fast internet<\/p>\n
connection. You also must have the textbook (at least the e-book) and<\/p>\n
access Webassign regularly. Computer or internet problems will not be<\/p>\n
valid justifications for asking for extensions on assignments. Access it via<\/p>\n
www.webassign.net.<\/p>\n
Class key:<\/p>\n
uhv 0155 1081<\/p>\n
Course Map:<\/p>\n
Module 1: Vectors (Chapter 1)<\/p>\n
March 21 \u2013 March 26<\/p>\n
1.0. Introduction: The Racetrack Game<\/p>\n
1.1. The Geometry and Algebra of Vectors<\/p>\n
1.2. Length and Angle: The Dot Product<\/p>\n
mailto:teixeirar@uhv.edu
\nhttp:\/\/www.webassign.net\/
\n1.3. Lines and Planes<\/p>\n
1.4. Applications<\/p>\n
Module 2: System of Linear Equations (Chapter 2)<\/p>\n
March 27 \u2013 April 2<\/p>\n
2.0. Introduction: Triviality<\/p>\n
2.1. Introduction to Systems of Linear Equations<\/p>\n
2.2. Direct Methods for Solving Linear Systems<\/p>\n
2.3. Spanning Sets and Linear Independence<\/p>\n
2.4. Applications<\/p>\n
Module 3: Matrices (Chapter 3)<\/p>\n
April 3 \u2013 April 9<\/p>\n
3.0. Introduction: Matrices in Action<\/p>\n
3.1. Matrix Operations<\/p>\n
3.2. Matrix Algebra<\/p>\n
3.3. The Inverse of a Matrix<\/p>\n
3.4. The LU Factorization<\/p>\n
3.5. Subspaces, Basis, Dimension, and Rank<\/p>\n
3.6. Introduction to Linear Transformations<\/p>\n
3.7. Applications<\/p>\n
Module 4: Eigenvalues and Eigenvectors (Chapter 4)<\/p>\n
April 10 \u2013 April 16<\/p>\n
4.0. Introduction: A Dynamical System on Graphs<\/p>\n
4.1. Introduction to Eigenvalues and Eigenvectors<\/p>\n
4.2. Determinants<\/p>\n
4.3. Eigenvalues and Eigenvectors of n\u00d7n Matrices<\/p>\n
4.4. Similarity and Diagonalization<\/p>\n
4.5. Iterative Methods for Computing Eigenvalues<\/p>\n
4.6. Applications and the Perron-Frobenius Theorem<\/p>\n
Module 5: Orthogonality (Chapter 5)<\/p>\n
April 17 \u2013 April 23<\/p>\n
5.0. Introduction: Shadows on a Wall<\/p>\n
5.1. Orthogonality in \u211dn<\/p>\n
5.2. Orthogonal Complements and Orthogonal Projections<\/p>\n
5.3. The Gram-Schmidt Process and the QR Factorization<\/p>\n
5.4. Orthogonal Diagonalization of Symmetric Matrices<\/p>\n
5.5. Applications<\/p>\n
Module 6: Vector Scpaces (Chapter 6)<\/p>\n
April 24 \u2013 April 30<\/p>\n
6.0. Introduction: Fibonacci in (Vector) Space<\/p>\n
6.1. Vector Spaces and Subspaces<\/p>\n
6.2. Linear Independence, Basis, and Dimension<\/p>\n
6.3. Change of Basis<\/p>\n
6.4. Linear Transformations<\/p>\n
6.5. The Kernel and Range of a Linear Transformation<\/p>\n
6.6. The Matrix of a Linear Transformation<\/p>\n
6.7. Applications<\/p>\n
Module 7: Distance and Approximations (Chapter 7)<\/p>\n
May 1 \u2013 May 7<\/p>\n
7.0. Introduction: Taxicab Geometry<\/p>\n
7.1. Inner Product Spaces<\/p>\n
7.2. Norms and Distance Functions<\/p>\n
7.3. Least Squares Approximation<\/p>\n
7.4. The Singular Value Decomposition<\/p>\n
7.5. Applications<\/p>\n
Assignments: It is essential that you study Mathematics several times in a week. The following<\/p>\n
assignments will help you with this task.<\/p>\n
\u2022 Discussion Board (20%): on each module, students will participate in a discussion board involving one or more of the module\u2019s concepts, and a reply to someone else\u2019s<\/p>\n
post in a way to show a deeper understanding of the content, or a possible application<\/p>\n
of the concepts, if possible. Every week we will have one discussion board with a<\/p>\n
minimum of two posts per student. They will be assigned through Blackboard<\/p>\n
(elearning.uhv.edu).<\/p>\n
\u2022 First post to be completed by Wednesday, \u2022 Second post to be completed by Friday.<\/p>\n
\u2022 Homework assignments (30%): assignment will contain questions that cover basic knowledge, and also a deeper understanding of the content in theoretical or applied<\/p>\n
situations. For each section from the book, we will have one assignment. These<\/p>\n
assignments are not timed but will have deadlines. Due Saturdays. They will be on<\/p>\n
Webassign (www.webassign.net).<\/p>\n
\u2022 Midterm (25%): right after week 4, this midterm will cover Modules 1 to 4. It will have around 50 questions, with questions taken from the same bank of questions as the<\/p>\n
modules\u2019 assignments. This test will be timed: 2 hours to complete it. Due Sunday<\/p>\n
after Module 4. It will be on Webassign (www.webassign.net).<\/p>\n
\u2022 Final exam (25%): Similar to midterm, it will be on week 8. It will not be cumulative. It will cover modules 5-7. It will be on Webassign (www.webassign.net).<\/p>\n
There will be no make-up activities, unless there is an emergency, in which case a written<\/p>\n
justification will be required. If you miss an activity, you will automatically receive zero.<\/p>\n
Grade distribution: (the instructor reserves the right to modify these bounds only to benefit students, in other words, the \u201ccutoff\u201d for some letters may be slight less than what is described here).<\/p>\n
A: 90 \u2013 100 B: 80 \u2013 89 C: 70 \u2013 79 D: 60 \u2013 69 F: below 60<\/p>\n
Curves on Grades: The instructor will not make any curves on grades.<\/p>\n
Blackboard use: We will use Blackboard and the Webassign system.<\/p>\n
Announcements, syllabus, calendars, and more will be available on<\/p>\n
Blackboard: https:\/\/elearning.uhv.edu<\/p>\n
Important: Computer Science and Math majors must receive a grade of C or higher in all<\/p>\n
Computer Science and Math courses used as prerequisite or transferred from other institutions.<\/p>\n
Any such course in which a student received a D, F, or W must be repeated.<\/p>\n
elearning.uhv.edu
\nhttp:\/\/www.webassign.net\/
\nhttp:\/\/www.webassign.net\/
\nhttp:\/\/www.webassign.net\/
\nhttps:\/\/elearning.uhv.edu\/
\nNetiquette: Use the following rule of thumb \u201cif you wouldn\u2019t do or say something in real life,<\/p>\n
don\u2019t do it online either.<\/p>\n
1. Before posting your question to a discussion board, check if anyone has asked it already and received a reply.<\/p>\n
2. Stay on topic (sample nursing essay examples by the best nursing assignment writing service), don\u2019t post irrelevant links, comments, thoughts, or pictures. 3. Don\u2019t type in ALL CAPS! If you do, it will look like you\u2019re screaming. 4. Don\u2019t write anything that sounds angry or sarcastic, even as a joke, because without<\/p>\n
hearing your tone of voice, your peers might not realize you\u2019re joking.<\/p>\n
5. Always remember to say \u201cPlease\u201d and \u201cThank you\u201d when soliciting help from your classmates.<\/p>\n
6. Respect the opinions of your classmates. If you feel the need to disagree, do so respectfully and acknowledge the valid points in your classmate\u2019s argument.<\/p>\n
Acknowledge that others are entitled to have their own perspective on the issue.<\/p>\n
7. If you reply to a question from a classmate, make sure your answer is accurate! If you\u2019re not 100% sure when the paper is due, DO NOT GUESS! Otherwise, you could<\/p>\n
really mess things up for your classmates and they will not appreciate it.<\/p>\n
8. If you ask a question and many people respond, summarize all answers and post that summary to benefit your whole class.<\/p>\n
9. Be brief. If you write a long dissertation in response to a simple question, it\u2019s unlikely that anyone will spend the time to read through it all.<\/p>\n
10. Check the most recent comments before you reply to an older comment, since the issue might have already been resolved or opinions may have changed.<\/p>\n
11. Run a spelling and grammar check before posting anything to the discussion board. It only takes a minute and can make the difference between sounding like a fool and<\/p>\n
sounding knowledgeable.<\/p>\n
STANDARD UHV COURSE POLICIES:<\/p>\n
Academic Integrity: \u201cStudents. . . have a responsibility to fulfill, and indeed an investment to protect, in helping to<\/p>\n
ensure that academic achievement is characterized by honesty and fair play\u201d (UHV Student Handbook). The<\/p>\n
University takes academic integrity very seriously. It is your responsibility to understand what behavior violates<\/p>\n
academic honesty rules and to understand the consequences for such violations. Please refer to the UHV Student<\/p>\n
Handbook: https:\/\/www.uhv.edu\/handbook\/academic-honesty-policy\/<\/p>\n
Plagiarism: Plagiarism is an increasingly common form of academic misconduct. All of the following are<\/p>\n
considered plagiarism:<\/p>\n
\u2022 turning in someone else’s work as your own<\/p>\n
\u2022 copying words or ideas from someone else without giving credit<\/p>\n
\u2022 failing to put a quotation in quotation marks<\/p>\n
\u2022 giving incorrect information about the source of a quotation<\/p>\n
\u2022 changing words but copying the sentence structure of a source without giving credit<\/p>\n
\u2022 copying so many words or ideas from a source that it makes up the majority of your work, whether<\/p>\n
you give credit or not.<\/p>\n
Most cases of plagiarism can be avoided, however, by citing sources. Simply acknowledging that certain material<\/p>\n
has been borrowed and providing your audience with the information necessary to find that source, is usually<\/p>\n
enough to prevent plagiarism.<\/p>\n
[adapted from: https:\/\/www.plagiarism.org\/article\/what-is-plagiarism}<\/p>\n
Services for Students with Disabilities: The University of Houston System complies with Section 504 of the<\/p>\n
Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, pertaining to the provision of<\/p>\n
reasonable academic adjustments \/ auxiliary aids for students who have a disability. In accordance with Section 504<\/p>\n
and ADA guidelines, the University of Houston-Victoria strives to provide reasonable academic adjustments \/<\/p>\n
auxiliary aids to students who request and require them. If you believe that you have a disability requiring an<\/p>\n
academic adjustment\/auxiliary aid, please contact the UHV Office of Disability Services; University Commons, 2108<\/p>\n
https:\/\/www.uhv.edu\/handbook\/academic-honesty-policy\/
\nhttps:\/\/www.plagiarism.org\/article\/what-is-plagiarism
\nA; Office \u2013 361-570-4287; Fax \u2013 361-580-5504; Email – Disability Services (DisabilityServices@uhv.edu);<\/p>\n
Website – Disability Services (www.uhv.edu\/disability-services).<\/p>\n
Student Services: The Academic Center offers writing Helpance, subject-area tutoring, testing services, and<\/p>\n
information resources. For additional information: call 361-570-4288 or Toll Free: 1-877-970-4848, ext. 288; or<\/p>\n
visit their website: http:\/\/www.uhv.edu\/ac.<\/p>\n
Grievance Procedure: If you have a non-academic grievance or complaint, please contact Student Services at 361-<\/p>\n
470-4133. If you have an academic grievance or complaint, please contact your school\u2019s dean. Please refer to the<\/p>\n
UHV Student Handbook for additional information: http:\/\/www.uhv.edu\/HandBook\/<\/p>\n
Title IX: Sexual Misconduct: The University of Houston System including UHV seeks to provide an educational<\/p>\n
environment free from sex discrimination, including non-consensual sexual contact, sexual assault, sexual<\/p>\n
harassment, interpersonal violence and stalking. We encourage you to report any sexual misconduct to UHV Title IX<\/p>\n
Coordinators (361-570-4835; University West 116). If you report any sexual misconduct to me, I am required to<\/p>\n
share that information with our Title IX Coordinators. For more information about the UHS Sexual Misconduct<\/p>\n
policy and counseling and support resources available to you, go to http:\/\/www.uhv.edu\/title-ix<\/p>\n
Student Conduct: Students are expected to participate in a mutually respectful learning environment. If your<\/p>\n
behavior is disruptive, I will remove you from class and you will be referred to the Office of Student Affairs and\/or<\/p>\n
the Academic Dean. Disruptive behavior is defined by the Student Code of Conduct as:<\/p>\n
\u201c3.6 Disruptive Classroom Conduct \u2013 Disruptive classroom conduct means engaging in behavior that<\/p>\n
substantially or repeatedly interrupts either the instructor\u2019s ability to teach or student learning. The<\/p>\n
classroom extends to any setting where a student is engaged in work toward academic credit or satisfaction<\/p>\n
of program-based requirements or related activities.\u201d (https:\/\/www.uhv.edu\/handbook\/code-of-conduct\/)<\/p>\n
mailto:DisabilityServices@uhv.edu
\nhttps:\/\/nam04.safelinks.protection.outlook.com\/?url=http%3A%2F%2Fwww.uhv.edu%2Fdisability-services&data=02%7C01%7CAkinsC%40uhv.edu%7C896af6f657414b5cb81b08d719c30e15%7C76446035d7ae4edf99340be900515d18%7C0%7C0%7C637006197877040690&sdata=f2LDHOA%2F9M2obdcI64uNClXwTePOn%2FvYABNkiZGI%2B08%3D&reserved=0
\nhttp:\/\/www.uhv.edu\/HandBook\/
\nhttp:\/\/www.uhv.edu\/title-ix
\nhttps:\/\/www.uhv.edu\/handbook\/code-of-conduct\/
\nCheck List for the first week:<\/p>\n
1. Register on Webassign and buy the access code (there is a small grace period before payment is due, so register ASAP):<\/p>\n
a. Go to www.webassign.net b. Click on \u201cI HAVE A CLASS KEY\u201d (right of the page)<\/p>\n
i. There will be three boxes, on the first box, enter uhv ii. On the second box, enter 0155 iii. On the third box, enter 1081<\/p>\n
2. Get familiar with the rules on this syllabus. 3. Get familiar with Webassign. Learn how to access the textbook.<\/p>\n
https:\/\/webassign.com\/support\/student-support\/ 4. Optional: mark the important dates on a calendar app on your phone 5. Optional: browse the course content and review math you do not feel<\/p>\n
comfortable.<\/p>\n
Typical week in the course:<\/p>\n
1. Beginning of the week: a. Watch videos b. Read the textbook<\/p>\n
2. By Wednesday 11:59pm: write the first post on Blackboard discussion Board (https:\/\/elearning.uhv.edu)<\/p>\n
3. By Friday 11:59pm: reply to someone else\u2019s post with a meaningful contribution to the topic (sample nursing essay examples by the best nursing assignment writing service).<\/p>\n
4. By Saturday 11:59pm: Homework assignments from the modules are due (there are some different homework assignments per module): www.webassign.net<\/p>\n
Exams:<\/p>\n
1. Midterm: due Sunday 11:59pm after Module 4, covering Modules 1-4 on www.webassign.net<\/p>\n
2. Final exam: due Sunday on week 8 at 11:59pm, covering Modules 5-7 on www.webassign.net<\/p>\n
http:\/\/www.webassign.net\/<\/p>\n