{"id":204,"date":"2015-01-19T15:34:35","date_gmt":"2015-01-19T20:34:35","guid":{"rendered":"https:\/\/www.bu.edu\/moss\/?page_id=204"},"modified":"2023-09-05T11:36:33","modified_gmt":"2023-09-05T15:36:33","slug":"courses","status":"publish","type":"page","link":"https:\/\/www.bu.edu\/moss\/courses\/","title":{"rendered":""},"content":{"rendered":"<div style=\"width: 100%; border: solid 0px black; text-align: center; white-space: nowrap; overflow: hidden; margin-top:0em;\">\n<hr style=\" border: 0; height: 1px; background-image: -webkit-linear-gradient(left, rgba(0,0,0,0), rgba(0,0,0,0.75), rgba(0,0,0,0)); background-image:    -moz-linear-gradient(left, rgba(0,0,0,0), rgba(0,0,0,0.75), rgba(0,0,0,0)); background-image:     -ms-linear-gradient(left, rgba(0,0,0,0), rgba(0,0,0,0.75), rgba(0,0,0,0)); background-image:      -o-linear-gradient(left, rgba(0,0,0,0), rgba(0,0,0,0.75), rgba(0,0,0,0)); margin-top:0em; margin-bottom:0em;\">\n<div style=\"display:inline-block; zoom:1; *display:inline; width:23%; margin:1% auto; border-right:1px solid black; text-align:center;\">\n<span style=\"font-size:2em; font-family:Verdana; font-variant: small-caps;\"><a href=\"\/moss\/research\/\" style=\"color: #CC0000;\">research<\/a><\/span><\/div>\n<div style=\"display:inline-block; zoom:1; *display:inline;width:23%; margin:auto; border-right:1px solid black; text-align:center;\">\n<span style=\"font-size:2em; font-family:Verdana; font-variant: small-caps;\"><a href=\"\/moss\/people\/\" style=\"color: #CC0000;\">people<\/a><\/span><\/div>\n<div style=\"display:inline-block; zoom:1; *display:inline;width:23%; margin:auto; border-right:1px solid black; text-align:center;\">\n<span style=\"font-size:2em; font-family:Verdana; font-variant: small-caps;\"><a href=\"\/moss\/courses\/\" style=\"color: #CC0000;\">teaching<\/a><\/span><\/div>\n<div style=\"display:inline-block; zoom:1; *display:inline;text-align: center; width:23%; margin:auto; border:0px solid black;\"><span style=\"font-size:2em; font-family:Verdana; font-variant: small-caps;\"><a href=\"\/moss\/blog\/\" style=\"color: #CC0000;\">blog<\/a><\/span><\/div>\n<\/div>\n<hr style=\" border: 0; height: 1px; background-image: -webkit-linear-gradient(left, rgba(0,0,0,0), rgba(0,0,0,0.75), rgba(0,0,0,0)); background-image:    -moz-linear-gradient(left, rgba(0,0,0,0), rgba(0,0,0,0.75), rgba(0,0,0,0)); background-image:     -ms-linear-gradient(left, rgba(0,0,0,0), rgba(0,0,0,0.75), rgba(0,0,0,0)); background-image:      -o-linear-gradient(left, rgba(0,0,0,0), rgba(0,0,0,0.75), rgba(0,0,0,0)); margin-top:0em; margin-bottom: 1em;\">\n<h1>Teaching<\/h1>\n<p><a href=\"\/moss\/files\/2015\/01\/DSC_9821.jpg\"><img src=\"\/moss\/files\/2015\/01\/DSC_9821.jpg\" alt=\"beam_banner\" width=\"100% class=\"alignnone size-full wp-image-205\" \/><\/a><\/p>\n<div style=\"margin-top: -25px; text-align:right\"><span style=\"font-size: 8px;\">Photo Credit: <a href=\"http:\/\/www.ashleydphoto.com\/about.html\">Ashley Daubenmire Photography<\/a><\/span><\/div>\n<\/p>\n<hr \/>\n<p align=\"justify\"><span style=\"font-size: 1em;\">Since 2015, Prof. Holmes has led <b>DICE<\/b> (<b>D<\/b>igital <b>I<\/b>nspiration, <b>Communication<\/b>, and <b>E<\/b>ducation), a program that hopes to improve understanding, communication, and accessibility for mechanics students. We have digitized lecture notes, created lecture videos, started a <a href=\"https:\/\/structuralmechanics.substack.com\/\">Structural Mechanics Newsletter<\/a>, engaged academics and the general public on <a href=\"https:\/\/twitter.com\/dpholmes\">Twitter\/X<\/a><\/span>, created graduate-level short courses, and published open source code.<\/p>\n<p align=\"justify\" style=\"margin-top: 0em; line-height: 90%;\"><img src=\"http:\/\/www.nsf.gov\/images\/logos\/nsf4.gif\" width=\"7%\" align=\"left\" style=\"margin-right:1em; margin-top: -0.25em;\"><span style=\"font-size: .75em; font-style: italic;\">This material is based upon work supported by the National Science Foundation under Grant <a href=\"http:\/\/www.nsf.gov\/awardsearch\/showAward?AWD_ID=1454153&#038;HistoricalAwards=false\">No. 1454153<\/a>. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.<\/span><\/p>\n<hr \/>\n<h3>ME305: Mechanics of Materials<\/h3>\n<p><a href=\"\/moss\/files\/2015\/01\/beam_banner.jpg\"><img loading=\"lazy\" src=\"\/moss\/files\/2015\/01\/beam_banner.jpg\" alt=\"beam_banner\" width=\"1000\" height=\"288\" class=\"alignnone size-full wp-image-205\" srcset=\"https:\/\/www.bu.edu\/moss\/files\/2015\/01\/beam_banner.jpg 1000w, https:\/\/www.bu.edu\/moss\/files\/2015\/01\/beam_banner-636x183.jpg 636w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" \/><\/a><\/p>\n<div style=\"text-align: justify;\">\n<p>This course covers concepts of stress, strain, and deformation. We will introduce constitutive relationships that couple stress to strain by the material&#8217;s properties. We show how normal and shear stresses can emerge by axial loaded, torsional loaded, bending, and pressure, and we demonstrate how the stresses are combined during more complex loadings. We will show how stress can by transformed to identify the magnitudes and directions of principal stresses. Finally, we will introduce the concept of structural stability to describe the buckling of beams under compressive loading.<\/p>\n<\/div>\n<div style=\"text-align: justify;\"><span style=\"font-size:1em;\"><\/p>\n<p style=\"margin-bottom:0em;\">The goals of this course are:<\/p>\n<\/div>\n<ol>\n<li>To identify and calculate stresses in various engineering structures.<\/li>\n<li>To determine how mechanical structures deform in response to external loads.<\/li>\n<li>To understand how stress and strain combine to enable problems with complex loads to be solved.<\/li>\n<\/ol>\n<div style=\"text-align: justify;\">\n<p>Syllabus: <a href=\"\/moss\/files\/2017\/09\/ME305_syll-1.pdf\">Fall 2017<\/a><\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p>Statics Review: <a href=\"\/moss\/files\/2017\/09\/Practice_Problems.pdf\">PDF<\/a><br \/>\nStatics Review Solutions: <a href=\"\/moss\/files\/2017\/09\/Practice_Problem_Solutions.pdf\">PDF<\/a><\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p style=\"margin-bottom:0em;\">The course progresses through the following topics:<\/p>\n<\/div>\n<ul>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-stress\/\">Stress<\/a><\/li>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-strain\/\">Strain<\/a><\/li>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-axial-load\/\">Axial Load<\/a><\/li>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-torsion\">Torsion<\/a><\/li>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-bending-normal-stress\">Beam Bending: Normal Stress<\/a><\/li>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-bending-shear-stress\">Beam Bending: Transverse Shear Stress<\/a><\/li>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-combined-loading\">Combined Loading<\/a><\/li>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-stress-transformation\">Stress Transformation<\/a><\/li>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-beam-deflection\">Beam Deflection<\/a><\/li>\n<li><a href=\"https:\/\/www.bu.edu\/moss\/mechanics-of-materials-beam-buckling\">Beam Buckling<\/a><\/li>\n<\/ul>\n<hr \/>\n<h3>ME309: Structural Mechanics<\/h3>\n<div style=\"text-align: justify;\">\n<p>This course covers the application of solid mechanics to structures using concepts from elementary elasticity, energy principles, and introductions to matrix and finite element methods. <\/p>\n<\/div>\n<div style=\"text-align: justify;\"><span style=\"font-size:1em;\"><\/p>\n<p style=\"margin-bottom:0em;\">The goals of this course are:<\/p>\n<\/div>\n<ol>\n<li>To apply solid mechanics and elementary elasticity to structures.<\/li>\n<li>To formulate analytical solutions to simple structures using equilibrium methods and energy principles.<\/li>\n<li>To use numerical methods to predict deformation, stability, and failure of complex structures.<\/li>\n<\/ol>\n<div style=\"text-align: justify;\">\n<p>Syllabus: <a href=\"\/moss\/files\/2023\/01\/ME309_syll.pdf\">Spring 2023<\/a><\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p><b>Structural Mechanics Newsletter<\/b><\/p>\n<\/div>\n<ul>\n<li><a href = \"https:\/\/structuralmechanics.substack.com\/p\/slap-shots-exploding-watermelons\">Slap Shots, Exploding Watermelons, and Strandbeests<\/a><\/li>\n<li><a href = \"https:\/\/structuralmechanics.substack.com\/p\/solar-sails-soft-robots-and-building\">Solar Sails, Soft Robots, and Building Things with Rocks and Strings<\/a><\/li>\n<\/ul>\n<div style=\"text-align: justify;\">\n<p style=\"margin-bottom:0em;\">In years past, this course progresses through the following topics:<\/p>\n<\/div>\n<ul>\n<li>Lecture 1 &#8211; Strain Energy [<a href=\"\/moss\/files\/2021\/01\/Structural-Mechanics-.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/v9fbsQ6WnQ8\">video<\/a>]<\/li>\n<li>Lecture 2 &#8211; Stretching and Bending [<a href=\"\/moss\/files\/2021\/01\/Lecture-2-Stretching-and-Bending-.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/Zji1Ucn6vbQ\">video<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -1.3em\"><span style=\"font-size: 0.85em;\">Reading 1: [<a href=\"https:\/\/www.bu.edu\/moss\/files\/2019\/04\/2019_Holmes_COCIS.pdf\">Elasticity and Stability of Shape-Shifting Structures<\/a>]<\/span><\/li>\n<\/ul>\n<li>Lecture 3 &#8211; Review Paper Discussion [<a href=\"https:\/\/www.dropbox.com\/s\/fxv3w1say58v4dr\/Lecture%203%20-%20Modern%20Structural%20Mechanics%20.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/kbn2HaEaCJI\">video<\/a>]<\/li>\n<li>Lecture 4 &#8211; Elastogravity, Elastocapillarity, and Castigliano&#8217;s Theorems [<a href=\"https:\/\/www.dropbox.com\/s\/yz09j2bavz0thwe\/Lecture%204%20-%20Castigliano%E2%80%99s%20Theorems.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/ugcoFVuhJ10\">video<\/a>]<\/li>\n<li>Lecture 5 &#8211; Stability, Buckling of a Hinged Column [<a href=\"https:\/\/www.dropbox.com\/s\/81wrv8fwimqgvgq\/Lecture%205%20-%20Equilibrium%20and%20Stability.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/YfwLRctHdU8\">video<\/a>]<\/li>\n<li>Lecture 6 &#8211; Snapping Truss [<a href=\"https:\/\/www.dropbox.com\/s\/mht9otnnu4v14mx\/Lecture%206%20-%20Snapping.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/1E7AsYoz4V0\">video<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -0.3em\"><span style=\"font-size: 0.85em;\">Introduction to Mathematica: [<a href=\"https:\/\/www.dropbox.com\/s\/818gsok7juxr9ac\/mathematicaBasics.nb?dl=0\">MMA Notebook<\/a>]<\/span><\/li>\n<li style=\"margin-bottom: -1.3em\"><span style=\"font-size: 0.85em;\">Snapping Truss: [<a href=\"https:\/\/www.dropbox.com\/s\/4q32fe9x68bemm0\/MMA02-Snapping.nb?dl=0\">MMA Notebook<\/a>]<\/span><\/li>\n<\/ul>\n<li>Lecture 7 &#8211; Principle of Least Action and Variational Calculus [<a href=\"https:\/\/www.dropbox.com\/s\/xoz7ssuvjuqn5ob\/Lecture%207%20-%20Least%20Action.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/d0VkBLq6FeI\">video<\/a>]<\/li>\n<li>Lecture 8 &#8211; Principle of Minimum Potential Energy [<a href=\"https:\/\/www.dropbox.com\/s\/kaolp3pvx6uuk4r\/Lecture%208%20-%20Minimum%20Potential%20Energy.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/ljZLwQeBOHo\">video<\/a>]<\/li>\n<li>Lecture 9 &#8211; Approximate Solutions by Trigonometric Series [<a href=\"https:\/\/www.dropbox.com\/s\/6w6e2nxi7357bmr\/Lecture%209%20-%20Fourier%20Series.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/-ZPVcJqR5dw\">video<\/a>]<\/li>\n<li>Lecture 10 &#8211; Ritz Method [<a href=\"https:\/\/www.dropbox.com\/s\/4r1cka4ng5i0gxk\/Lecture%2010%20-%20Ritz%20Method.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/tik9IHS8UK0\">video<\/a>]<\/li>\n<li>Lecture 11 &#8211; Weak Forms [<a href=\"https:\/\/www.dropbox.com\/s\/ge20kpsdv6b42nq\/Lecture%2011%20-%20Weak%20Forms.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/CEo-dXLVTAs\">video<\/a>]<\/li>\n<li>Lecture 12 &#8211; Equilibrium Equations [<a href=\"https:\/\/www.dropbox.com\/s\/via71vynhjx11eg\/Lecture%2012%20-%20Equilibrium%20Equations%20.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/qPUlSg7Uflw\">video<\/a>]<\/li>\n<li>Lecture 13 &#8211; Stress Transformation 2D [<a href=\"https:\/\/www.dropbox.com\/s\/iki9ptxbahklza5\/Lecture%2013%20-%20Stress%20Transformation.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/SHvX1K5KFPk\">video<\/a>]<\/li>\n<li>Lecture 14 &#8211; Stress Transformation 3D [<a href=\"https:\/\/www.dropbox.com\/s\/hoa5jssoc25sn8h\/Lecture%2014%20-%20Stress%20Transformation%203D.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/7Bc2NUxK-gI\">video<\/a>]<\/li>\n<li>Lecture 15 &#8211; Strain [<a href=\"https:\/\/www.dropbox.com\/s\/ysfbrhj0ubvy0b9\/Lecture%2015%20-%20Strain.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/cCVd2qKy-XU\">video<\/a>]<\/li>\n<li>Lecture 16 &#8211; Constitutive Relations [<a href=\"https:\/\/www.dropbox.com\/s\/o5t7ovsugvgzqim\/Lecture%2016%20-%20Constitutive%20Relations.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/YAkeQMHx1eU\">video<\/a>]<\/li>\n<li>Lecture 17 &#8211; Axisymmetric Problems [<a href=\"https:\/\/www.dropbox.com\/s\/w4hwi46ouo376bl\/Lecture%2017%20-%20Axisymmetric%20Problems.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/nJwWg7xm_04\">video<\/a>]<\/li>\n<li>Lecture 18 &#8211; Thick-Walled Pressure Vessels [<a href=\"https:\/\/www.dropbox.com\/s\/hycomv48eczzjhn\/Lecture%2018%20-%20Thick-Walled%20Pressure%20Vessels.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/abAQ-5OKehw\">video<\/a>]<\/li>\n<li>Lecture 19 &#8211; Spinning Disks [<a href=\"https:\/\/www.dropbox.com\/s\/yt0dt7gz0uzliui\/Lecture%2019%20-%20Spinning%20Disks.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/tTAoSIf2FL0\">video<\/a>]<\/li>\n<li>Lecture 20 &#8211; Direct Stiffness Method I [<a href=\"https:\/\/www.dropbox.com\/s\/py9iorfublrr7f1\/Lecture%2020%20-%20Direct%20Stiffness%20Method%20I.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/k6Ed_ChOsms\">video<\/a>]<\/li>\n<li>Lecture 21 &#8211; Direct Stiffness Method II [<a href=\"https:\/\/www.dropbox.com\/s\/u7wakyaxfcy4ijt\/Lecture%2021%20-%20Direct%20Stiffness%20Method%20II.pdf?dl=0\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/5YtXusHnKXE\">video<\/a>]<\/li>\n<\/ul>\n<p><!--\n\n\n<div style=\"text-align: justify;\">\n\n<p style=\"margin-top:2em;\">Things that my be useful:<\/p>\n\n<\/div>\n\n\n\n\n\n<div style=\"text-align: justify;\">\n\n<p>Mathematica Notebook: <a href=\"https:\/\/www.dropbox.com\/s\/cbrma8x89ilpfi5\/solidMechanics.nb?dl=0\">Solid Mechanics<\/a><\/p>\n\n<\/div>\n\n\n\n\n<div style=\"text-align: justify;\">\n\n<p>MATLAB: <a href=\"https:\/\/www.dropbox.com\/s\/003bkaogplz9tof\/Truss2D.m?dl=0\">Truss (2D)<\/a><\/p>\n\n<\/div>\n\n\n\n\n<div style=\"margin-top: -15px; text-align: justify;\">\n\n<p>MATLAB: <a href=\"https:\/\/www.dropbox.com\/s\/3cyjwtp25r9a4li\/TrussElement2D.m?dl=0\">Truss Element (2D)<\/a><\/p>\n\n<\/div>\n\n\n\n\n<div style=\"text-align: justify;\">\n\n<p>MATLAB: <a href=\"https:\/\/www.dropbox.com\/s\/7ev87ni5zi41qh8\/Frame2D.m?dl=0\">Frame (2D)<\/a><\/p>\n\n<\/div>\n\n\n\n\n<div style=\"margin-top: -15px; text-align: justify;\">\n\n<p>MATLAB: <a href=\"https:\/\/www.dropbox.com\/s\/o7d8pm6mx3k7ydg\/FrameElement2D.m?dl=0\">Frame Element (2D)<\/a><\/p>\n\n<\/div>\n\n\n--><\/p>\n<hr \/>\n<h3>ME712: Applied Mathematics in Mechanics<\/h3>\n<div style=\"text-align: justify;\">\n<p>This course introduces students to methods of applied mathematics relevant to theoretical and applied mechanics. We will discuss dimensional analysis, scaling, perturbation methods, variational calculus, and differential geometry. <\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p>Syllabus: <a href=\"\/moss\/files\/2023\/09\/ME712_syll.pdf\">Fall 2023<\/a><\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p>Notes: <a href=\"https:\/\/www.dropbox.com\/s\/19aulz9o88w52d2\/ME712_LectureNotes.pdf?dl=0\">Lecture Notes<\/a> &#8212; <i>Updated:<\/i> 10\/5\/2020<\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p>YouTube Channel: <a href=\"https:\/\/www.youtube.com\/playlist?list=PLM1ijNJVxGFkI1K-j7kskPFgOdDv2fXal\">Lectures<\/a><\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p>Mathematica: <a href=\"https:\/\/www.bu.edu\/tech\/services\/cccs\/desktop\/distribution\/mathsci\/mathematica\/student\/\">Download Student Version<\/a> &#8212; BU Student<\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p style=\"margin-bottom:0em;\">The course progresses through the following topics:<\/p>\n<\/div>\n<ul>\n<li>Lecture 1 &#8211; Dimensional Analysis and Projectiles [<a href=\"\/moss\/files\/2020\/09\/Lecture-1-Welcome-to-ME712-Applied-Math-in-Mechanics.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/aUENiBmErl4\">video<\/a>]<\/li>\n<li>Lecture 2 &#8211; Similarity Variables and Diffusion [<a href=\"\/moss\/files\/2020\/09\/Lecture-2-Fracture-and-Similarity.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/Xy-bBsP8lTs\">video<\/a>] [<a href=\"https:\/\/www.dropbox.com\/s\/imgrhnc9o9tcg40\/similarityVariable-diffusion.nb?dl=0\">Mathematica<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Problem Set 1: [<a href=\"\/moss\/files\/2020\/09\/ME712_pset1.pdf\">PDF<\/a>]<\/span><\/li>\n<li style=\"margin-bottom: -1.3em\"><span style=\"font-size: 0.85em;\">Reading 1: [<a href=\"\/moss\/files\/2020\/09\/OratisBushStoneBird2020-Viscous-wrinkles.pdf\">A new wrinkle on liquid sheets<\/a>]<\/span><\/li>\n<\/ul>\n<li style=\"margin-top:-1em\">Lecture 3 &#8211; Buckingham Pi Theorem and Fatigue [<a href=\"\/moss\/files\/2020\/09\/Lecture-3_-Buckingham-Pi-Fatigue.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/qqgdhcCHVRQ\">video<\/a>]<\/li>\n<li style=\"margin-top:0em\">Lecture 4 &#8211; Discussing Problem Set 1 [<a href=\"\/moss\/files\/2020\/09\/Lecture-4-Homework-1.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/K0s2rXDW6MU\">video<\/a>]<\/li>\n<li style=\"margin-top:0em\">Lecture 5 &#8211; Bubbles and Wrinkles! [<a href=\"\/moss\/files\/2020\/09\/Lecture-5-Bubbles.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/EgNFBC2NvCw\">video<\/a>] [<a href=\"\/moss\/files\/2020\/09\/ME712_Oratis_Bubbles.pptx\">Slides<\/a>]<\/li>\n<li style=\"margin-top:0em\">Lecture 6 &#8211; How to Nondimensionalize an Equation [<a href=\"\/moss\/files\/2020\/09\/Lecture-6-How-to-Nondimensionalize-an-Equation.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/QLKd0vsHwck\">video<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Problem Set 2: [<a href=\"\/moss\/files\/2020\/09\/ME700_pset2.pdf\">PDF<\/a>]<\/span><\/li>\n<\/ul>\n<li style=\"margin-top:-1.7em\">Lecture 7 &#8211; Perturbation Methods (Regular) [<a href=\"\/moss\/files\/2020\/09\/Lecture-7-Regular-Perturbations-.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/HlzrS8L-slQ\">video<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Intro to Mathematica [<a href=\"https:\/\/www.dropbox.com\/s\/y7920u708ef6ba5\/MMA1_mathematicaBasics.nb?dl=0\">MMA<\/a>]<\/span><\/li>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Regular Perturbation [<a href=\"https:\/\/www.dropbox.com\/s\/izdzas8ir3976ce\/MMA2_regPert_Intro.nb?dl=0\">MMA<\/a>]<\/span><\/li>\n<\/ul>\n<li style=\"margin-top:-1.7em\">Lecture 8 &#8211; Discussing Problem Set 2 [<a href=\"\/moss\/files\/2020\/10\/Lecture-8-Problem-Set-2.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/040tgGezNdM\">video<\/a>]<\/li>\n<li style=\"margin-top:0em\">Lecture 9 &#8211; Perturbation Methods (Regular) &#8211; Projectiles [<a href=\"\/moss\/files\/2020\/10\/Lecture-9-Regular-Perturbation-of-an-IVP.pdf\">notes<\/a>] [<a href=\"https:\/\/youtu.be\/wfep8g0aqTo\">video<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Regular Perturbation: Projectiles [<a href=\"https:\/\/www.dropbox.com\/s\/wsqokije6z0iav6\/MMA3_projectile.nb?dl=0\">MMA<\/a>]<\/span><\/li>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Regular Perturbation: Projectiles (Fancier) [<a href=\"https:\/\/www.dropbox.com\/s\/mapdjrpyvohjp8c\/projectile_beta.nb?dl=0\">MMA<\/a>]<\/span><\/li>\n<\/ul>\n<li style=\"margin-top:-1.7em\">Lecture 10 &#8211; Perturbation Methods (Regular) &#8211; Projectiles (cont.) [<a href=\"\">notes<\/a>] [<a href=\"https:\/\/www.youtube.com\/watch?v=iAHhXUSd7IM\">video<\/a>]<\/li>\n<li style=\"margin-top:-0.33em\">Lecture 11 &#8211; Perturbation Methods (Regular) &#8211; System of Equations [<a href=\"\">video<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Thermokinetics [<a href=\"https:\/\/www.dropbox.com\/s\/hhs34tkrl8ia18b\/MMA4_thermoKinetic.nb?dl=0\">MMA<\/a>]<\/span><\/li>\n<\/ul>\n<li style=\"margin-top:-1.7em\">Lecture 12 &#8211; Perturbation Methods (Singular) [<a href=\"https:\/\/youtu.be\/g9YUOsyG5_s\">video<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Singular Perturbation [<a href=\"https:\/\/www.dropbox.com\/s\/x6zy4lyzuob9mg3\/MMA5_singularPert_Intro.nb?dl=0\">MMA<\/a>]<\/span><\/li>\n<\/ul>\n<li style=\"margin-top:-1.7em\">Lecture 13 &#8211; Boundary Layers [<a href=\"https:\/\/youtu.be\/oqAERnoa8TI\">video<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Singular Perturbation of an ODE [<a href=\"https:\/\/www.dropbox.com\/s\/knabtk0w587yd3u\/MMA7_boundaryLayer.nb?dl=00\">MMA<\/a>]<\/span><\/li>\n<\/ul>\n<li style=\"margin-top:-1.7em\">Lecture 14 &#8211; Multiple Boundary Layers [BREAKOUT ROOMS]<\/li>\n<li style=\"margin-top:0em\">Lecture 15 &#8211; Multiple Boundary Layers and Two-Timing [<a href=\"https:\/\/youtu.be\/Xr_c1IIlz6A\">video<\/a>]<\/li>\n<ul>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Multiple Boundary Layers [<a href=\"https:\/\/www.dropbox.com\/s\/y0rfn2ew1htgopm\/MMA8_multipleBoundaryLayer.nb?dl=0\">MMA<\/a>]<\/span><\/li>\n<li style=\"margin-bottom: -0.33em;\"><span style=\"font-size: 0.85em;\">Two-Timing [<a href=\"https:\/\/www.dropbox.com\/s\/42wyq01363qhsxa\/MMA9_twoTiming.nb?dl=0\">MMA<\/a>]<\/span><\/li>\n<\/ul>\n<li style =\"margin-top:-1.7em\">Lecture 16 &#8211; Problem Set 3 [<a href=\"https:\/\/www.youtube.com\/watch?v=aj1wHWuHz8Q\">video<\/a>]<\/li>\n<li style =\"margin-top:0em\">Lecture 17 &#8211; Variational Calculus and Principle of Least Action [<a href=\"https:\/\/www.youtube.com\/watch?v=fgXqTE-NeIE\">video<\/a>]<\/li>\n<li style =\"margin-top:0em\">Lecture 18 &#8211; Euler-Lagrange Equations; Planar Geodesics [<a href=\"https:\/\/www.youtube.com\/watch?v=bn4ruBWmxpw\">video<\/a>]<\/li>\n<li style =\"margin-top:0em\">Lecture 19 &#8211; Deriving the <i>elastica<\/i> from a Variational Principle [<a href=\"https:\/\/www.youtube.com\/watch?v=4FxOHIISxLA\">video<\/a>]<\/li>\n<li style =\"margin-top:0em\">Lecture 20 &#8211; Constrained Minimization: Lagrange Multipliers and Penalty Functions [<a href=\"https:\/\/www.youtube.com\/watch?v=4mv_7b0_AUk\">video<\/a>]<\/li>\n<li style =\"margin-top:0em\">Lecture 21 &#8211; Dynamical Systems and Linear Stability Analysis [<a href=\"https:\/\/www.youtube.com\/watch?v=I8ggrQeUvI8\">video<\/a>]<\/li>\n<li style =\"margin-top:0em\">Lecture 22 &#8211; Stability and Bifurcations [<a href=\"https:\/\/www.youtube.com\/watch?v=XRYKqLCIojg\">video<\/a>]<\/li>\n<li style =\"margin-top:0em\">Lecture 23 &#8211; Tensor Analysis and Differential Geometry [<a href=\"https:\/\/www.youtube.com\/watch?v=DWBIZbhglO4\">video<\/a>]<\/li>\n<li style =\"margin-top:0em\">Lecture 24 &#8211; Gaussian Curvature; Calculus on Curved Surfaces [<a href=\"https:\/\/www.youtube.com\/watch?v=O69iL6LqTRk\">video<\/a>]<\/li>\n<\/ul>\n<hr \/>\n<h3>Short Course: Swelling of Elastic Materials<\/h3>\n<p><a href=\"\/moss\/files\/2015\/01\/beam_banner.jpg\"><img src=\"\/moss\/files\/2015\/03\/elastoswell-elastocap.jpg\" alt=\"beam_banner\" width=\"100%\" class=\"alignnone size-full wp-image-205\" \/><\/a><\/p>\n<div style=\"text-align: justify;\">\n<p>This short course covers Darcy&#8217;s law, linear poroelasticity, and the swelling of elastomers. It was presented in two parts at the <b><a href=\"http:\/\/www.staff.dtu.dk\/bruus\/Teaching\/Summerschool2015\">Complex Motion in Fluids Summer School<\/a><\/b> in Krogerup, Denmark (Aug. 9th &#8211; 15th, 2015).<\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p><a href=\"\/moss\/files\/2015\/08\/Copenhagen2015_Swelling.pdf\">Swelling of Elastic Materials &#8211; Fluids Deforming Solids<\/a><\/p>\n<\/div>\n<hr \/>\n<h3>Short Course: Elastic Instabilities for Form and Function<\/h3>\n<p><a href=\"\/moss\/files\/2015\/01\/beam_banner.jpg\"><img src=\"\/moss\/files\/2015\/03\/snapshell.jpg\" alt=\"beam_banner\" width=\"100%\" class=\"alignnone size-full wp-image-205\" \/><\/a><\/p>\n<div style=\"text-align: justify;\">\n<p>This short course covers the mechanics of thin structures and their elastic stability. It was presented in three parts at the <b>Universita di Roma, Sapienza<\/b> in Rome, Italy (May 23rd &#8211; 27th, 2015).<\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p><a href=\"\/moss\/files\/2015\/08\/Sapienza2015_Buckling.pdf\">Elastic Instabilities for Form and Function &#8211; Buckling, Wrinkling, Folding, and Snapping<\/a><\/p>\n<\/div>\n<hr \/>\n<h3>Short Course: Confined Fluid Flow &#8211; Microfluidics and Capillarity<\/h3>\n<p><a href=\"\/moss\/files\/2017\/01\/FE_time_seq2.jpg\"><img src=\"\/moss\/files\/2017\/01\/FE_time_seq2.jpg\" alt=\"beam_banner\" width=\"100%\" class=\"alignnone size-full wp-image-205\" \/><\/a><\/p>\n<div style=\"text-align: justify;\">\n<p>This short course covers fundamentals of low Reynolds number fluid flow and its exploitation within microfluidic devices and confined geometries. It was presented in three parts at the <b>Universita di Roma, Sapienza<\/b> in Rome, Italy (May 23rd &#8211; 27th, 2015).<\/p>\n<\/div>\n<div style=\"text-align: justify;\">\n<p><a href=\"\/moss\/files\/2015\/08\/Sapienza2015_Microfluidics.pdf\">Confined Fluid Flow &#8211; Microfluidics and Capillarity<\/a><\/p>\n<\/div>\n<hr \/>\n<p align=\"justify\" style=\"margin-top: 0em; line-height: 90%;\"><img src=\"http:\/\/www.nsf.gov\/images\/logos\/nsf4.gif\" width=\"7%\" align=\"left\" style=\"margin-right:1em; margin-top: -0.25em;\"><span style=\"font-size: .75em; font-style: italic;\">This material is based upon work supported by the National Science Foundation under Grant <a href=\"http:\/\/www.nsf.gov\/awardsearch\/showAward?AWD_ID=1505125&#038;HistoricalAwards=false\">No. 1505125<\/a>. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>research people teaching blog Teaching<\/p>\n","protected":false},"author":9428,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.bu.edu\/moss\/wp-json\/wp\/v2\/pages\/204"}],"collection":[{"href":"https:\/\/www.bu.edu\/moss\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.bu.edu\/moss\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.bu.edu\/moss\/wp-json\/wp\/v2\/users\/9428"}],"replies":[{"embeddable":true,"href":"https:\/\/www.bu.edu\/moss\/wp-json\/wp\/v2\/comments?post=204"}],"version-history":[{"count":50,"href":"https:\/\/www.bu.edu\/moss\/wp-json\/wp\/v2\/pages\/204\/revisions"}],"predecessor-version":[{"id":980,"href":"https:\/\/www.bu.edu\/moss\/wp-json\/wp\/v2\/pages\/204\/revisions\/980"}],"wp:attachment":[{"href":"https:\/\/www.bu.edu\/moss\/wp-json\/wp\/v2\/media?parent=204"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}