Bardsley, Jonathan M.

English

University of Montana

University of Montana ScholarWorks at University of Montana University of Montana Course Syllabi Open Educational Resources (OER) Fall 9-1-2021 M 221.01: Introduction to Linear Algebra Jonathan M. Bardsley University of Montana, Missoula, johnathan.bardsley@umontana.edu Follow this and additional works at: https://scholarworks.umt.edu/syllabi Let us know how access to this document benefits you. Recommended Citation Bardsley, Jonathan M., "M 221.01: Introduction to Linear Algebra" (2021). University of Montana Course Syllabi. 12364. https://scholarworks.umt.edu/syllabi/12364 This Syllabus is brought to you for free and open access by the Open Educational Resources (OER) at ScholarWorks at University of Montana. It has been accepted for inclusion in University of Montana Course Syllabi by an authorized administrator of ScholarWorks at University of Montana. For more information, please contact scholarworks@mso.umt.edu. SYLLABUS: MATH 221, LINEAR ALGEBRA Dr. John Bardsley, Professor of Mathematics Ofce Location and Phone #: Math 210, 243-5328 Email: bardsleyj@mso.umt.edu Time and Place: MTWF 11-11:50, Room 305, Math Building. Text: Strang, Introduction to Linear Algebra, 4th Edition, Wellesley-Cambridge, 2009. Prerequisite: M 172 or 182, or consent of instructor. Ofce Hours: 1:00-2:00pm, MTW. Final Exam: 8:00-10:00, Thursday, December 16. OVERVIEW: The main focus is on the problem of solving Ax = b. To this end, we will make use of Gaussian elimination, and building from there, learn about the four subspaces N(A), C(A), N(AT ), and C(AT ). We will then study projections and the least squares solution of Ax = b. The last part of the course switches gears and focuses on eigenvalues, eigenvectors, and the singular value decomposition of a matrix. LEARNING GOALS: 1. To learn Gaussian elimination for solving Ax = b and the LU decomposition of the matrix A. 2. To learn about the properties of the vector space Rn , including notions of linear inde-pendence, basis, subspace, dimension, orthogonality. 3. To learn how to fnd bases for the four subspaces of a matrix A: N(A), C(A), N(AT ), and C(AT ). 4. To learn about projections, the least squares solution of Ax = b, and the QR decom-position of a matrix A. 5. To learn to compute determinants, eigenvalues, eigenvectors, and the eigenvalue and singular value decompositions of a matrix A. ASSESSMENT: Your course grade be will determined as follows: Total points Exam 1 E1 100 Exam 2 E2 100 Exam 3 E3 100 Final F 100 HW/Quizzes Q 100 NOTE: The fnal exam is optional, is comprehensive, and if taken counts as a fourth exam. Moreover, your fnal exam score can be used to cover a low score on a previous exam, in which case it would be counted twice. HOMEWORK, QUIZZES, and EXAMS: Homework will be given daily and you will be tested on the homework material with a quiz once a week, usually on Tuesdays. Exams will be based on homework and quiz material. IMPORTANT NOTE: Announcements made in class are considered addenda to this syllabus. Make sure you stay informed as to the progress of the class. CONDUCT & ACADEMIC HONESTY: Please, keep your eyes on your own work. Otherwise, I’ve not had many issues, but I’ve got to let you know: (i) your conduct should be in line with the Student Conduct Code, which you can fnd on the UM home page; and (ii) you must practice academic honesty, because it’s the right thing to do, but also because academic misconduct is subject to penalty. HOW TO BE SUCCESSFUL: Two things: (i) come to class and pay attention, and (ii) do the homework. When preparing for exams and quizzes, practice doing the homework and similar problems from the book until you are able to do them correctly without the aid of the book or notes. Math is learned by doing. It is not learned by only reading the book and/or watching others work problems. If you don’t understand something, ask questions in class or during ofce hours immediately. COVID-19 POLICIES: Mask use is required, regardless of vaccine status, in all UM classrooms and academic laboratories, including computer labs. FOR ANY STUDENT WITH A DISABILITY: The University of Montana assures equal access to instruction through collaboration between students with disabilities, instruc-tors, and the Ofce for Disability Equity (ODE). If you anticipate or experience barriers based on disability, please contact the ODE at: (406) 243-2243, ode@umontana.edu, or visit www.umt.edu/disability for more information. Retroactive accommodation requests will not be honored, so please, do not delay. As your instructor, I will work with you and the ODE to implement an efective accommodation, and you are welcome to contact me privately if you wish. 

M 221.01: Introduction to Linear Algebra

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M 221.01: Introduction to Linear Algebra

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