{"id":84829,"date":"2022-08-10T18:07:03","date_gmt":"2022-08-10T16:07:03","guid":{"rendered":"https:\/\/prawo.uwr.edu.pl\/?page_id=84829"},"modified":"2022-12-27T10:17:05","modified_gmt":"2022-12-27T09:17:05","slug":"mathematical-economics","status":"publish","type":"page","link":"https:\/\/prawo.uwr.edu.pl\/en\/mme-master-of-managerial-economics\/mathematical-economics\/","title":{"rendered":"Mathematical Economics"},"content":{"rendered":"\n
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Mathematical Economics<\/h1>\n\n\n

Program: <\/strong> Managerial Economics<\/a>
ECTS:<\/strong>  5
Lecturer:<\/strong>  Professor Tadeusz Bednarski
Email: <\/strong> tadeusz.bednarski@uwr.edu.pl<\/a>
Type:<\/strong>  Compulsory
Level:<\/strong>  Advanced<\/p>\n\n\n\n

Lecture<\/strong>
Number of hours:<\/strong>  2h X 8 weeks = 16 hours (1 semester)<\/p>\n\n\n\n

Laboratory<\/strong>
Number of hours:<\/strong>  2h X 7 weeks = 14 hours (1 semester)<\/p>\n<\/div>\n<\/div>\n\n\n\n

\n

Objective: <\/strong>
To provide fundamental mathematical tools necessary to describe selected economic phenomena.
To help students to formulate economic problems in language of mathematics.
To prepare students to understand economic relations described in language of mathematics.<\/p>\n\n\n\n

Assessment: <\/strong>
Written Exam<\/p>\n\n\n\n

Contents: <\/strong>
The aim of Mathematical Economics is to help students understand and use the mathematics required for studying economics at the master\u2019s level. Lectures 1. Utility Function. Utility Maximization Problem. Optimal Choice. Properties of Demand Function. Indirect Utility Function and its Properties. Roy\u2019s Identity. Expenditure Minimization Problem. Expenditure Function and its Properties. Shephard\u2019s Lemma. Properties of Hicksian Demand Function. The Compensated Law of Demand. Relationship between Utility Maximization and Expenditure Minimization Problem. 2.Profit Maximization with Cost Function. Long and Short Run Equilibrium. Total Costs, Average Costs, Marginal Costs, Long-run Costs, Short-run Costs, Cost Curves, Long-run and Short-run Cost Curves. Monopoly. Oligopoly. Cournot Equilibrium. Quantity Leadership \u2013 Slackelberg Model. 3. General Equilibrium Theory. Exchange. Market Equilibrium. 4.Neoclassical Growth Model. The Solow Growth Model. Introduction to Dynamic Optimization. Models of Endogenous Growth Theory.<\/p>\n\n\n\n

Recommended reading: <\/strong><\/p>\n\n\n\n

  • Intermediate Microeconomics, A Modern Approach, Varian H.R., W.W. Norton & Company, New York, London, 1996<\/li>
  • Advanced Macroeconomics, Romer D., McGraw-Hill, 1996<\/li>
  • Fundamental Methods of Mathematical Economics, Chiang A.C., Wainwright K., McGraw-Hill\/Irwin Boston, Mass., 2005<\/li>
  • Elements of Dynamic Optimization, Chiang A.C., Waveland Press, 1992<\/li><\/ul>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"

    Program:  Managerial EconomicsECTS:  5Lecturer:  Professor Tadeusz BednarskiEmail:  tadeusz.bednarski@uwr.edu.plType:  CompulsoryLevel:  Advanced LectureNumber of hours:  2h X 8 weeks = 16 hours (1 semester) LaboratoryNumber of hours:  2h X 7 weeks = 14 hours (1 semester) Objective: To provide fundamental mathematical tools necessary to describe selected economic phenomena.To help students to formulate economic problems in language of mathematics.To prepare students to understand economic relations described in […]<\/p>\n","protected":false},"author":20,"featured_media":49171,"parent":125028,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"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":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"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":""},"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":""},"categories":[],"tags":[],"class_list":["post-84829","page","type-page","status-publish","has-post-thumbnail","hentry"],"featured_image_urls_v2":{"full":"","thumbnail":"","medium":"","medium_large":"","large":"","1536x1536":"","2048x2048":"","menu-24x24":"","menu-36x36":"","menu-48x48":""},"post_excerpt_stackable_v2":"

    Mathematical Economics Program:  Managerial EconomicsECTS:  5Lecturer:  Professor Tadeusz BednarskiEmail:  tadeusz.bednarski@uwr.edu.plType:  CompulsoryLevel:  Advanced LectureNumber of hours:  2h X 8 weeks = 16 hours (1 semester) LaboratoryNumber of hours:  2h X 7 weeks = 14 hours (1 semester) Objective: To provide fundamental mathematical tools necessary to describe selected economic phenomena.To help students to formulate economic problems in language of mathematics.To prepare students to understand economic relations described in language of mathematics. Assessment: Written Exam Contents: The aim of Mathematical Economics is to help students understand and use the mathematics required for studying economics at the master\u2019s level. Lectures 1. Utility Function. Utility Maximization Problem. Optimal Choice. Properties of Demand Function. Indirect Utility Function and its…<\/p>\n","category_list_v2":"Uncategorized","author_info_v2":{"name":"mmatlinski","url":"https:\/\/prawo.uwr.edu.pl\/en\/author\/mmatlinski\/"},"comments_num_v2":"0 comments","acf":[],"yoast_head":"\nMathematical Economics - Wydzia\u0142 Prawa, Administracji i Ekonomii<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/prawo.uwr.edu.pl\/en\/mme-master-of-managerial-economics\/mathematical-economics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mathematical Economics - Wydzia\u0142 Prawa, Administracji i Ekonomii\" \/>\n<meta property=\"og:description\" content=\"Program:  Managerial EconomicsECTS:  5Lecturer:  Professor Tadeusz BednarskiEmail:  tadeusz.bednarski@uwr.edu.plType:  CompulsoryLevel:  Advanced LectureNumber of hours:  2h X 8 weeks = 16 hours (1 semester) LaboratoryNumber of hours:  2h X 7 weeks = 14 hours (1 semester) Objective: To provide fundamental mathematical tools necessary to describe selected economic phenomena.To help students to formulate economic problems in language of mathematics.To prepare students to understand economic relations described in […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/prawo.uwr.edu.pl\/en\/mme-master-of-managerial-economics\/mathematical-economics\/\" \/>\n<meta property=\"og:site_name\" content=\"Wydzia\u0142 Prawa, Administracji i Ekonomii\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-27T09:17:05+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/prawo.uwr.edu.pl\/en\/mme-master-of-managerial-economics\/mathematical-economics\/\",\"url\":\"https:\/\/prawo.uwr.edu.pl\/en\/mme-master-of-managerial-economics\/mathematical-economics\/\",\"name\":\"Mathematical Economics - 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