{"id":69,"date":"2026-02-13T10:12:19","date_gmt":"2026-02-13T10:12:19","guid":{"rendered":"https:\/\/blog.metu.edu.tr\/mbuyuk\/?page_id=69"},"modified":"2026-02-13T10:27:01","modified_gmt":"2026-02-13T10:27:01","slug":"theory","status":"publish","type":"page","link":"https:\/\/blog.metu.edu.tr\/mbuyuk\/theory\/","title":{"rendered":"THEORY"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"562\" src=\"https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture25-1024x562.png\" alt=\"\" class=\"wp-image-87\" srcset=\"https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture25-1024x562.png 1024w, https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture25-300x165.png 300w, https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture25-768x422.png 768w, https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture25.png 1346w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"996\" height=\"1024\" src=\"https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture26-996x1024.png\" alt=\"\" class=\"wp-image-88\" srcset=\"https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture26-996x1024.png 996w, https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture26-292x300.png 292w, https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture26-768x790.png 768w, https:\/\/blog.metu.edu.tr\/mbuyuk\/files\/2026\/02\/Picture26.png 1164w\" sizes=\"auto, (max-width: 996px) 100vw, 996px\" \/><\/figure>\n\n\n\n<p><mark style=\"background-color:#ffffff\" class=\"has-inline-color has-vivid-red-color\">Pillar 1: THEORY (The Foundations)<\/mark><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fundamental Mechanics\n<ul class=\"wp-block-list\">\n<li>Continuum-Solid Mechanics<\/li>\n\n\n\n<li>Quantum Mechanics<\/li>\n\n\n\n<li>Elasticity-Plasticity<\/li>\n\n\n\n<li>Contact Mechanics<\/li>\n\n\n\n<li>Ductility-Metal Forming<\/li>\n\n\n\n<li>Fracture &#8211; Failure Mechanics<\/li>\n\n\n\n<li>Fatigue &amp; Durability &#8211; Damage Tolerance<\/li>\n\n\n\n<li>Penetration Mechanics &amp; Terminal Ballistics<\/li>\n\n\n\n<li>Biomechanics<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Applied Mathematics, PDEs &amp; Algorithms\n<ul class=\"wp-block-list\">\n<li>Mathematics &amp; Computing for Engineers<\/li>\n\n\n\n<li>Integral Equations &amp; Transformations<\/li>\n\n\n\n<li>Functional Analysis<\/li>\n\n\n\n<li>Linear &amp; Multilinear Algebra (Matrix Theory)<\/li>\n\n\n\n<li>Differential Geometry<\/li>\n\n\n\n<li>Algebraic Topology &amp; Geometry<\/li>\n\n\n\n<li>Non-Linear Analysis<\/li>\n\n\n\n<li>Mathematics for Finance<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Pedagogy\n<ul class=\"wp-block-list\">\n<li>Engineering Education<\/li>\n\n\n\n<li>Simulation-Based Engineering Sciences<\/li>\n\n\n\n<li>CDIO &#8211; Conceive-Design-Implement-Operate<\/li>\n\n\n\n<li>AI in Education<\/li>\n\n\n\n<li>Ethics<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Mathematical Optimization\n<ul class=\"wp-block-list\">\n<li>Global Optimization<\/li>\n\n\n\n<li>Topology Optimization<\/li>\n\n\n\n<li>Multi-Objective Optimization<\/li>\n\n\n\n<li>Linear &amp; Nonlinear Programming<\/li>\n\n\n\n<li>Integer &amp; Mixed Integer Programming<\/li>\n\n\n\n<li>Heuristic Methods<\/li>\n\n\n\n<li>Convex &amp; Discrete Geometry<\/li>\n\n\n\n<li>Game Theory<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Computational &amp; Generative Arts:\n<ul class=\"wp-block-list\">\n<li>AI Data Sculpture<\/li>\n\n\n\n<li>Machine Hallucinations<\/li>\n\n\n\n<li>Latent Space Exploration<\/li>\n\n\n\n<li>Immersive Environments<\/li>\n\n\n\n<li>Neuro-Aesthetics<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Uncertainty Quantification &amp; Risk\n<ul class=\"wp-block-list\">\n<li>Risk Analysis<\/li>\n\n\n\n<li>Threat Assessment<\/li>\n\n\n\n<li>Probability Theory &amp; Statistical Analysis<\/li>\n\n\n\n<li>Stochastic Processes<\/li>\n\n\n\n<li>Reliability and Maintenance<\/li>\n\n\n\n<li>Survivability-Vulnerability-Lethality<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Pillar 1: THEORY (The Foundations)<\/p>\n","protected":false},"author":9532,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-69","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.metu.edu.tr\/mbuyuk\/wp-json\/wp\/v2\/pages\/69","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.metu.edu.tr\/mbuyuk\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.metu.edu.tr\/mbuyuk\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/mbuyuk\/wp-json\/wp\/v2\/users\/9532"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/mbuyuk\/wp-json\/wp\/v2\/comments?post=69"}],"version-history":[{"count":0,"href":"https:\/\/blog.metu.edu.tr\/mbuyuk\/wp-json\/wp\/v2\/pages\/69\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.metu.edu.tr\/mbuyuk\/wp-json\/wp\/v2\/media?parent=69"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}