Concave & Convex functions ( Multivariable Case)| Jensen's Inequality| Sydsaeter & Hammond Sec 17.6

Welcome to Lecture 60 of the online lecture series on Mathematical Methods in Economics I typically offered as a core paper to Eco(Hons.) Students in their first and second semester. The textbook used in this video can be found here: https://drive.google.com/file/d/1-tUn... We are referring to section 17.6 on " Concave and Convex Functions" from the book by Knut Sydsaeter and Peter J. Hammond Mathematics for Economic Analysis. Topics Covered in this Lecture: 1. Graphical and Algebraic Condition for Concave and Convex Functions 2. Solved Example 3. Upper and Lower Contour Set 4. Jensen's Inequality For more videos on this lecture series: Visit the following Playlists: Mathematical Methods in Economics:    • Intro Mathematical Methods for Economics   ~~~~~~Some Recent Videos~~~~~~ 46. Quadratic form in Two Variables:    • Quadratic Forms in Two Variables| Sydsaete...   47. Chain Rule & Directional Derivative:    • Chain Rule| Directional Derivative| MME 2|...   48. Implicit Differentiation:    • Implicit Differentiation| Properties of Gr...   49. Partial Elasticity:    • Partial Elasticity| Constant Elasticity of...   50. Homogenous Functions of Two Variables:    • Homogenous functions and their Properties|...   51. Homothetic Functions:    • Homothetic Functions| Relation between hom...   52. More on Implicit Differentiation:    • More on Implicit Differentiation| Function...   53. Approximation & Differential (Multivariable Functions):    • Linear Approximation and Differential| Cas...   54. Finding Partial Derivatives using Differentials:    • Finding partial derivatives using differen...   55: Multivariable Optimisation:    • Multivariable Optimisation | Sydsaeter & H...   56. Topology in Plane:    • Interior and Boundary Points| Open and Clo...   57. Extreme Value Theorem(Multivariable Case):    • Extreme Value Theorem| Multivariable Case|...   58. Sufficient Conditions For Local Extreme Points|:    • Sufficient Conditions For Local Extreme Po...   59. Convex Set:    • What is a CONVEX SET? | Mathematical Econo...   60. Concave & Convex functions ( Multivariable Case):    • Concave & Convex functions ( Multivariable...   ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Join this channel to get access to perks:    / @beyondtheclassroom   ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ For more, Subscribe to our Youtube channel: https://www.youtube.com/channel/UCTmU... ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Be a part of our facebook economics group:   / 37186...​   ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ And Follow us on Facebook:   / beyondthecla...​   Instagram: beyond_the_classroom2017 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ For any special video requests/comments, write to us at beyondtheclassroom2017@gmail.com or fill the google form https://forms.gle/PQzkmZ4EjmfrMFoM8​ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #mme​ #economics​ #maths​ beyondtheclassroom,beyond the classroom,mme 2,mme sem 2,mme economics,mme eco hons,mathematical economics,course on mathematical economics,mathematical eco bbe,maths bbe,concave and convex functions mme,sydsaeter and hammond 17.6,hammond 17.6,mme ch 17,mme 2 ch 17,sydsaetr and hammond ch 17,sydsaeter and hammond ch 17,jensens inequality,jensen inequality mme,jensen inequality,concave functions multivariable,convex functions