{"id":327,"date":"2025-09-10T11:39:57","date_gmt":"2025-09-10T11:39:57","guid":{"rendered":"https:\/\/blog.metu.edu.tr\/komer\/?page_id=327"},"modified":"2025-09-22T05:22:08","modified_gmt":"2025-09-22T05:22:08","slug":"m261fa25","status":"publish","type":"page","link":"https:\/\/blog.metu.edu.tr\/komer\/m261fa25\/","title":{"rendered":"Math 261 &#8211; Linear Algebra I &#8211; Fall 2025"},"content":{"rendered":"\n<p>This page contains some information that can be helpful before you register for the course. After registration, we will use <a href=\"https:\/\/odtuclass.metu.edu.tr\/\" target=\"_blank\" rel=\"noopener\">ODTUclass<\/a>. You should follow <a href=\"https:\/\/odtuclass.metu.edu.tr\/\" target=\"_blank\" rel=\"noopener\">ODTUclass<\/a> and check your emails regularly for important announcements during the semester.<\/p>\n<hr \/>\n<h2>Course Objectives<\/h2>\n<p>This course introduces the fundamental tools of linear algebra, offering both a rigorous theoretical framework and attention to computational methods. It emphasizes a detailed exploration of linear transformations and matrix theory, concepts that are central to the theoretical foundations and practical applications of linear algebra.<\/p>\n<hr \/>\n<h2>Lecture Hours<\/h2>\n<p>The lectures will be held in M13 during the following hours.<\/p>\n<ul>\n<li>Tuesday 13:40-15:30<\/li>\n<li>Thursday 13:40-15:30<\/li>\n<\/ul>\n<hr \/>\n<h2>Grading<\/h2>\n<p>There will be two midterms exams and a final exam.<\/p>\n<ul>\n<li>Midterm 1, 30 points &#8211; TBA.<\/li>\n<li>Midterm 2, 30 points &#8211; TBA.<\/li>\n<li>Final Exam, 40 points &#8211; TBA by Student Affairs.<\/li>\n<\/ul>\n<hr \/>\n<h2>Textbook<\/h2>\n<ul>\n<li>Friedberg, Insel, Spence, Linear Algebra (4th edition).<\/li>\n<\/ul>\n<hr \/>\n<h2>Tentative Course Outline<\/h2>\n<p>The course content, together with a tentative course outline, can be found below. We will attempt to cover the related parts of the textbook each week.<\/p>\n<ul>\n<li><strong>Week 1:<\/strong> (Sep 29 &#8211; Oct 3) Introduction, Vector Spaces, Subspaces. 1-23.<\/li>\n<li><strong>Week 2:<\/strong>\u00a0(Oct 6 &#8211; Oct 10) Linear Combinations and Linear Equations, Linear Dependence and Linear Independence. 24-41.<\/li>\n<li><strong>Week 3:<\/strong>\u00a0(Oct 13 &#8211; Oct 17) Bases and Dimension. 42-57.<\/li>\n<li><strong>Week 4:<\/strong>\u00a0(Oct 20 &#8211; Oct 24) Sums and Direct Sums, Quotient Spaces. 22, 23, 57, 58.<\/li>\n<li><strong>Week 5:<\/strong>\u00a0(Oct 27 &#8211; Oct 31) Linear Transformations, Null Spaces and Ranges. 64-78.<\/li>\n<li><strong>Week 6:<\/strong>\u00a0(Nov 3 &#8211; Nov 7) The Matrix Representation of a Linear Transformation, Composition of Linear Transformations and Matrix Multiplication. 79-98.<\/li>\n<li><strong>Week 7:<\/strong>\u00a0(Nov 10 &#8211; Nov 14) Invertibility and Isomorphisms. 99-109.<\/li>\n<li><strong>Week 8:<\/strong> (Nov 17 &#8211; Nov 21) The Change of Coordinate Matrix, Dual Spaces. 110-126.<\/li>\n<li><strong>Week 9:<\/strong>\u00a0(Nov 24 &#8211; Nov 28) Elementary Matrix Operations and Elementary Matrices, The Rank of a Matrix and Matrix Inverses. 147-167.<\/li>\n<li><strong>Week 10:<\/strong>\u00a0(Dec 1 &#8211; Dec 5) Systems of Linear Equations &#8211; Theoretical Aspects. 168 -181.<\/li>\n<li><strong>Week 11:<\/strong>\u00a0(Dec 8 &#8211; Dec 12) Systems of Linear Equations &#8211; Computational Aspects. 182-197.<\/li>\n<li><strong>Week 12:<\/strong>\u00a0(Dec 15 &#8211; Dec 19) Determinants of Order 2, Determinants of Order n. 199-221.<\/li>\n<li><strong>Week 13:<\/strong>\u00a0(Dec 22 &#8211; Dec 26) Properties of Determinants. 222-243.<\/li>\n<li><strong>Week 14:<\/strong>\u00a0(Dec 29 &#8211; Jan 2) Some Examples and Applications.<\/li>\n<\/ul>\n<hr \/>\n<h2>Pari\/GP<\/h2>\n<p>The software <a href=\"https:\/\/pari.math.u-bordeaux.fr\/\">Pari\/GP<\/a> is very simple to learn and extremely strong to do computations with.<\/p>\n<hr \/>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This page contains some information that can be helpful before you register for the course. After registration, we will use [&hellip;]<\/p>\n","protected":false},"author":584,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-327","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.metu.edu.tr\/komer\/wp-json\/wp\/v2\/pages\/327","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.metu.edu.tr\/komer\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.metu.edu.tr\/komer\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/komer\/wp-json\/wp\/v2\/users\/584"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/komer\/wp-json\/wp\/v2\/comments?post=327"}],"version-history":[{"count":0,"href":"https:\/\/blog.metu.edu.tr\/komer\/wp-json\/wp\/v2\/pages\/327\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.metu.edu.tr\/komer\/wp-json\/wp\/v2\/media?parent=327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}