AMS 210: Applied Linear Algebra

AMS 210: Applied Linear Algebra1/22/20, 10'00 AMAMS 210: Applied Linear AlgebraSpring 2020Time: Monday & Wednesday & Friday 9:00--9:53amLocation: Javits Lecture 109Instructor: Jarret PetrilloEmail: jarret.petrillo@stonybrook.eduOffice hours: Tue. 5:30pm--7:30pmOffice: Math 1-125Course announcements:1/21/2019: If you have a fever or are feeling ill, please go to the campus healthcenter! It is flu season. This is really important. You are excused from everythingif you are ill and give me a doctor's note.[ Course Description Course Policy Homework and Tests References University Policy ]Course Description (back to top)This course will teach the foundations and language of linear algebra. It is absolutely extraordinary thata discipline so vital to diverse areas of mathematics has a common language at all. Needless to say, thisis far from easy to understand. Motivations in computational methods may dictate the preference for Xover Y. Or, something in complex analysis may explain Z. The point is that we are going to explain thealphabet: A, B, ., X, Y, Z, and motivate the main methods with digressions into application areas. Thecourse syllabus.Required TextbookNonePrerequisite/Co-requisiteAMS 151 or MAT 131 or 141 or co-requisite MAT 126 or level 7 or higher on the mathematicshttp://www.ams.stonybrook.edu/ jpetrill/210/index.htmlPage 2 of 6

AMS 210: Applied Linear Algebra1/22/20, 10'00 AMplacement exam.Learning Objectives1. Use, interpret, and understand techniques for a diverse set of applications.Linear systems (1)Markov chains (3)2. Master matrix-vector calculations. (1)3. Matrix theory.Gaussian elimination. (1)Dimension. (2)Norms and condition numbers. (2)Eigenvalue analysis. (3)4. Solve a system of linear equations using:Gaussian elimination. (1)Determinants. (1)Matrix inverses. (1)Iterative methods. (2)Least squares. (3)5. Introduction to Numerical Linear Algebra. (2)Computational complexity of matrix operations.LU decomposition.Matrix partitioning.Condition number.6. Strengthen ability in communicating and translating of mathematical concepts, models to realworld settings. (*)Details: (1), (2), and (3) correspond to whether these will be tested on the first, second, or thirdmidterms. (*) means it will be tested on all 3.Course Policy (back to top)AssignmentsHomework assignments are due in class each Monday typically one week after they areassigned.HW are to be completed separately.You cannot turn in someone else's homework. If so, similarities between the two will be referredto the Academic Judiciary Office.Under no circumstances may you copy solutions from any source, including but not limited toother students solutions, official solutions distributed in past terms, and solutions from coursestaught at other universities. Violation of these rules will result in disciplinary actions.Every homework set contains twice as many problems as are graded. The extra problems are foryour benefit. Solutions will be posted for those that are due.Homeworks will be returned timely.Examshttp://www.ams.stonybrook.edu/ jpetrill/210/index.htmlPage 3 of 6

AMS 210: Applied Linear Algebra1/22/20, 10'00 AMThe exams (including two midterms and a final midterm) are closed-book. No calculators. Themidterm exams are tentatively scheduled for March 6th, April 10th, and May 8th. None of the examswill be comprehensive; however, the material in AMS 210 naturally builds on itself. This means, forexample, material from exam 1 will be needed on exam 2, even though it will not be explicitly testedon exam 2. Exams must be taken at the specified times. Exceptions will only be given for excusedabsences; please give as much notice as possible if you need alternate arrangements. Please bring StonyBrook ID cards with you during exams. Possession of one is a requirement to take the exam.AttendanceRegular attendance is essential and expected. No attendance will be taken, but homework assignmentswill be collected in class on Mondays. No late homeworks will be accepted.GradingStudents will have the chance to earn 1,500 possible points during the semester. Each third of thecourse will correspond to 500 points.Homework problem: 5ptsExam: 320ptsOutside connections: 10ptsOutside connections are small exploratory assignments. The first one is posted, and due MondayFebruary 3rd.Grading PoliciesExams written in pencil will be ineligible for regrade requests. Regrade requests must be made withinone week of the homework or exam being returned to the class. Note that the entire homework or exammay be regraded, not just the part you request- regrade request sheet. Homework rubric: 1pt-problemattempted; 3pts-partially correct; 5pts-correct.Getting HelpI am in the process of making a master sheet of tutors who can help you. Our section of 210 has threeTA's. The other three sections of the course also have teaching assistants with office hours. In addition,AMS 210 is a prerequisite for AMS 301, 326, 342, and 351, which are all being taught this semester. Intheory, this means there is a large accessible teaching staff. Check back here for a graphic week one.Echo360 and BlackboardYou will have access to video recordings of all the lectures on the course's blackboard page. Courseannouncements will also be posted there.Homework and Sample Tests (back to top)Assignmentshttp://www.ams.stonybrook.edu/ jpetrill/210/index.htmlPage 4 of 6

AMS 210: Applied Linear Algebra1/22/20, 10'00 AMOutside Connections #1 (due Feb. 3rd).HW #1 (due Feb. 10th). Assignment and solutions to be posted.HW #2 (due Feb. 17th).HW #3 (due Feb. 24th).HW #4 (due March 2nd).Exam #1 (in class Friday March 6th).Outside Connections #2 (due March 9th).HW #5 (due March 16th).Sample TestsNone yet. Check back before exams.References (back to top)References on Linear AlgebraThe following are excellent texts for fundamental concepts. The first is more geometrical, and thesecond has great explanations.Klaus Janich, Linear Algebra, 1st Edition, Springer-Verlag, 1994.Gilbert Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge Press, 2016.Other ReferencesSheldon Axler, Linear Algebra Done Right, 2nd Edition, Springer, 1997.Paul R. Halmos, Finite-Dimensional Vector Spaces, 1st Edition, Springer, 2000.References for ApplicationsR.B. Bapat, Linear Algebra and Linear Models, 2nd Edition, Springer, 2000.Alan Tucker, Introduction to Linear Algebra: Models, Methods, and Theory, XanEdu, 2016.Available for free at: /Policies and Academic Integrity (back to top)Student Accessibility Support Center StatementIf you have a physical, psychological, medical or learning disability that may impact your course work,please contact Student Accessibility Support Center, ECC (Educational Communications Center)Building, Room 128, (631)632-6748. They will determine with you what accommodations, if any, arenecessary and appropriate. All information and documentation is confidential. Students who requireassistance during emergency evacuation are encouraged to discuss their needs with their professors andStudent Accessibility Support Center. For procedures and information go to the following ities.http://www.ams.stonybrook.edu/ jpetrill/210/index.htmlPage 5 of 6

AMS 210: Applied Linear Algebra1/22/20, 10'00 AMAcademic IntegrityEach student must pursue his or her academic goals honestly and be personally accountable for allsubmitted work. Representing another person's work as your own is always wrong. Faculty is requiredto report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in theHealth Sciences Center (School of Health Technology & Management, Nursing, Social Welfare, DentalMedicine) and School of Medicine are required to follow their school-specific procedures. For morecomprehensive information on academic integrity, including categories of academic dishonesty pleaserefer to the academic judiciary website athttp://www.stonybrook.edu/commcms/academic integrity/index.htmlCritical Incident ManagementStony Brook University expects students to respect the rights, privileges, and property of other people.Faculty are required to report to the Office of University Community Standards any disruptive behaviorthat interrupts their ability to teach, compromises the safety of the learning environment, or inhibitsstudents' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to followtheir school-specific procedures. Further information about most academic matters can be found in theUndergraduate Bulletin, the Undergraduate Class Schedule, and the Faculty-Employee Handbook.http://www.ams.stonybrook.edu/ jpetrill/210/index.htmlPage 6 of 6

References on Linear Algebra The following are excellent texts for fundamental concepts. The first is more geometrical, and the second has great explanations. Klaus Janich, Linear Algebra, 1st Edition, Springer-Verlag, 1994. Gilbert Strang, Introduction to Linear Algebra, 5th E