{"id":1702,"date":"2024-01-17T04:00:53","date_gmt":"2024-01-17T04:00:53","guid":{"rendered":"https:\/\/bankfin.unipi.gr\/mastersbankfin\/?post_type=courses&#038;p=1702"},"modified":"2024-01-17T04:33:26","modified_gmt":"2024-01-17T04:33:26","slug":"quantitative-methods-statistics","status":"publish","type":"courses","link":"https:\/\/bankfin.unipi.gr\/mastersbankfin\/en\/courses\/quantitative-methods-statistics\/","title":{"rendered":"Quantitative Methods-Statistics"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"1702\" class=\"elementor elementor-1702\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2e1d400 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"2e1d400\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-55c4f71 elementor-widget elementor-widget-heading\" data-id=\"55c4f71\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.19.0 - 29-01-2024 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">Quantitative Methods-Statistics<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b544319 elementor-widget elementor-widget-text-editor\" data-id=\"b544319\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.19.0 - 29-01-2024 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p><span style=\"color: #ffc747;\"><b>Full Time<\/b><\/span>\/\/ Preaparatory<\/p>\n<p><span style=\"color: #00ffff;\"><strong>Part Time<\/strong><\/span> \/\/ Preaparatory<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-a4a79c8 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"a4a79c8\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-07aef42 elementor-widget elementor-widget-n-accordion\" data-id=\"07aef42\" data-element_type=\"widget\" data-settings=\"{&quot;default_state&quot;:&quot;all_collapsed&quot;,&quot;max_items_expended&quot;:&quot;one&quot;,&quot;n_accordion_animation_duration&quot;:{&quot;unit&quot;:&quot;ms&quot;,&quot;size&quot;:400,&quot;sizes&quot;:[]}}\" data-widget_type=\"nested-accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-n-accordion\" aria-label=\"Accordion. Open links with Enter or Space, close with Escape, and navigate with Arrow Keys\">\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-8050\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"1\" tabindex=\"0\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-8050\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><h4 class=\"e-n-accordion-item-title-text\"> Course Description in .pdf <\/h4><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-8050\" class=\"elementor-element elementor-element-8290544 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"8290544\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e75120c elementor-widget elementor-widget-button\" data-id=\"e75120c\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xs\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Full Time Course Description (Greek)<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2e9f5a9 elementor-widget elementor-widget-button\" data-id=\"2e9f5a9\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xs\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Full Time Course Description (English)<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-88e4848 elementor-widget elementor-widget-button\" data-id=\"88e4848\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xs\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Part Time Course Description (Greek)<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-735c99a elementor-widget elementor-widget-button\" data-id=\"735c99a\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xs\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Part Time Course Description (English)<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-652aba9 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"652aba9\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-17b593f e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"17b593f\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c391776 elementor-widget elementor-widget-heading\" data-id=\"c391776\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Learning Outcomes<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-77f4af4 elementor-widget elementor-widget-text-editor\" data-id=\"77f4af4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>The first part Quantitative Methods, presents the basic tools and methods of mathematics which are extensively found throughout the range of financial theory and analysis. The course aims to stimulate the study of the associated mathematical techniques through analytical problems in the economy, and then employ them in appropriate economic models. Linking techniques with their applications, it establishes the inextricable relationship between quantitative methods and economic theory. &nbsp;<\/p>\n<p>Upon successful completion of the course, the students will be able to<\/p>\n<ul>\n<li>perform operations with matrices.<\/li>\n<li>interpret graphically operations with vectors.<\/li>\n<li>compute the determinant and the inverse of a matrix.<\/li>\n<li>solve linear systems via the method of the inverse matrix and the method of Cramer.<\/li>\n<li>compute, graphically and algebraically, limits of functions.<\/li>\n<li>interpret and apply, graphically and algebraically, the notion of continuity.<\/li>\n<li>interpret graphically and compute algebraically the derivative of a function.<\/li>\n<li>compute the monotonicity, the convexity, and the extreme points of one-variable functions via the 1<sup>st<\/sup> and 2<sup>nd<\/sup> order conditions.<\/li>\n<li>compute the extreme points of multi-variable functions via the generalized 1<sup>st<\/sup> and 2<sup>nd<\/sup> order conditions.<\/li>\n<li>compute the extreme points of multi-variable functions subject to equations as constraints, according to the method of the Lagrange multiplier.<\/li>\n<li>compute indefinite integrals via elementary methods, such as integration-by-parts and change-of-variable.<\/li>\n<li>interpret and compute the definite integral of a function, as well as to apply it for finding areas of sectors.<\/li>\n<\/ul>\n<p>The second part is an introduction to Descriptive Statistics and Probability Theory. The purpose of the course is to present the basic tools of these two branches of Statistics, widely applied in Economics and Finance. Knowing these techniques of Statistical Analysis is a key skill that allows us to quantify real economic and financial problems, explore the available data, and arrive at logical conclusions and forecasts. Upon successful completion of the course, the student will be able to have: 1) An understanding of the basic concepts of Descriptive Statistics and Probability Theory. 2) Knowledge of the basic tools and techniques of Descriptive Statistics and Probability Theory. 3) Use Descriptive Statistics and Probability Theory methodologies in Financial Studies<\/p>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-493f53f elementor-widget elementor-widget-heading\" data-id=\"493f53f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">General Competences<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b7958b1 elementor-widget elementor-widget-text-editor\" data-id=\"b7958b1\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul>\n<li>Adapting to new situations.<\/li>\n<li>Decision-making.<\/li>\n<li>Individual\/Independent work.<\/li>\n<li>Critical thinking.<\/li>\n<li>Development of free, creative and inductive thinking.<\/li>\n<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-04348bf elementor-widget elementor-widget-heading\" data-id=\"04348bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Course Content<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0d0e417 elementor-widget elementor-widget-text-editor\" data-id=\"0d0e417\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>The following sections will be presented:<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><u>Static<\/u> <u>Analysis<\/u>: Equilibrium Analysis &ndash; The Linear Model &ndash; Matrix Algebra &ndash; Determinants &ndash; Linear Systems&nbsp;<\/li>\n<li><u>Comparative<\/u> <u>Static<\/u> <u>Analysis<\/u>: Derivatives &ndash; Limits &ndash; Continuity &ndash; Differentiation Rules &ndash; Applications to Revenue and Cost Functions &ndash;&nbsp;&nbsp; Inverse Function &ndash; Partial Derivatives &ndash; Applications to the Linear Model&nbsp;<\/li>\n<li><u>Optimization<\/u> <u>Problems<\/u>: Optimization of a One-Variable Function &ndash; Optimization of a Multi-Variable Function &ndash;&nbsp; Optimization of a Function with Equations as Constraints &ndash; Utility Maximization&nbsp;&nbsp;&nbsp;<\/li>\n<li><u>Dynamic<\/u> <u>Analysis<\/u>: Economic Dynamics &ndash; Indefinite Integrals &ndash; Integration Rules &ndash; Definite Integrals &ndash; Generalized Integrals &ndash; Present Value of Money Flow &ndash; Domar&rsquo;s Growth Model &ndash; 1<sup>st<\/sup> Order Differential Equations with Constant Coefficients &ndash; The Dynamics of Market Price&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>Data description, samples and statistical variables, presentation of statistical data, population parameters, empirical distributions. Probability space, events and probabilities, conditional probabilities. Continuous and discrete random variables. Cumulative distribution functions, probability distribution functions, probability density functions, definitions and properties. Moments of random variables. The joint distribution of random variables. Covariance and its properties. Marginal distributions. Independent random variables. Independence vs. linear independence. Correlation coefficient. Independence and tautonomy of random variables. The concept of random sample<\/p>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ca6c778 elementor-widget elementor-widget-heading\" data-id=\"ca6c778\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Student Performance Evaluation<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e6bfe44 elementor-widget elementor-widget-text-editor\" data-id=\"e6bfe44\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>The course is preparatory and does not include a student performance evaluation procedure.<\/p>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-58b8d4e elementor-widget elementor-widget-heading\" data-id=\"58b8d4e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Bibliography<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d25f7ad elementor-widget elementor-widget-text-editor\" data-id=\"d25f7ad\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Suggested Bibliography<\/strong><\/p><ul>\n<li>Alpha C. Chiang &ndash; Kevin Wainwright, &Mu;&alpha;&theta;&eta;&mu;&alpha;&tau;&iota;&kappa;\u03ad&sigmaf; &Mu;\u03ad&theta;&omicron;&delta;&omicron;&iota; &Omicron;&iota;&kappa;&omicron;&nu;&omicron;&mu;&iota;&kappa;\u03ae&sigmaf; &Alpha;&nu;\u03ac&lambda;&upsilon;&sigma;&eta;&sigmaf; &ndash; &Nu;\u03ad&alpha; &Alpha;&nu;&alpha;&theta;&epsilon;&omega;&rho;&eta;&mu;\u03ad&nu;&eta; \u0388&kappa;&delta;&omicron;&sigma;&eta;, &Kappa;&rho;&iota;&tau;&iota;&kappa;\u03ae, 2011.<\/li>\n<li>&Pi;\u03ad&tau;&rho;&omicron;&sigmaf; &Alpha;. &Kappa;&iota;\u03cc&chi;&omicron;&sigmaf; &kappa;&alpha;&iota; &Alpha;&pi;\u03cc&sigma;&tau;&omicron;&lambda;&omicron;&sigmaf; &Pi;. &Kappa;&iota;\u03cc&chi;&omicron;&sigmaf;, &Sigma;&tau;&alpha;&tau;&iota;&sigma;&tau;&iota;&kappa;\u03ae &gamma;&iota;&alpha; &tau;&iota;&sigmaf; &epsilon;&pi;&iota;&chi;&epsilon;&iota;&rho;\u03ae&sigma;&epsilon;&iota;&sigmaf; &kappa;&alpha;&iota; &tau;&eta;&nu; &omicron;&iota;&kappa;&omicron;&nu;&omicron;&mu;\u03af&alpha;, &Epsilon;&kappa;&delta;\u03cc&sigma;&epsilon;&iota;&sigmaf; &Epsilon;&lambda;\u03ad&nu;&eta; &Kappa;&iota;\u03cc&chi;&omicron;&upsilon;, &Alpha;&theta;\u03ae&nu;&alpha; 2015.<\/li>\n<li>&Tau;\u03ac&kappa;&eta;&sigmaf; &Pi;&alpha;&pi;&alpha;\u03ca&omega;\u03ac&nu;&nu;&omicron;&upsilon;, &Epsilon;&iota;&sigma;&alpha;&gamma;&omega;&gamma;\u03ae &sigma;&tau;&iota;&sigmaf; &Pi;&iota;&theta;&alpha;&nu;\u03cc&tau;&eta;&tau;&epsilon;&sigmaf;, &Epsilon;&kappa;&delta;\u03cc&sigma;&epsilon;&iota;&sigmaf; &Sigma;&tau;&alpha;&mu;&omicron;\u03cd&lambda;&eta;, 2000.<\/li>\n<\/ul>\n<p><strong>Related Academic Journals<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7187ddf e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"7187ddf\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;,&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4066587 elementor-widget elementor-widget-text-editor\" data-id=\"4066587\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p style=\"text-align: center;\"><strong>Master of Science (M.Sc.) in<br \/>\u00abBanking and Finance\u00bb<\/strong><br \/>Specialization in <br \/>\u00abBanking and Financial Management\u00bb<br \/><br \/><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f4a5cbb elementor-widget elementor-widget-heading\" data-id=\"f4a5cbb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Courses<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7918759 hfe-nav-menu__breakpoint-none hfe-nav-menu__align-left hfe-submenu-icon-arrow hfe-submenu-animation-none hfe-link-redirect-child elementor-widget elementor-widget-navigation-menu\" data-id=\"7918759\" data-element_type=\"widget\" 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