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DTSTART;TZID=Europe/Berlin:20251006T090000
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SUMMARY:Mathematics for Economists
DESCRIPTION:The goal of this course is to give students an overview of the basic mathematical knowledge necessary to succeed in an economics PhD program. We focus on the application and use of concepts\, not on proofs or greatest possible generality. Should abstract mathematical results be needed to develop specific ideas\, those will be covered only on a need-to-know basis. \nStudents in the PhD programme are diverse. For some\, the materials covered will be repetitions of knowledge previously acquired. For others\, the course contents will be more challenging and require additional self-study and solving exercises at home. We aim to mitigate those differences as much and possible and create a level playing field for everyone to do well in other courses. \nSchedule\n09:00 – 10:30   class\n10:30 – 10:45   coffee break\n10:45 – 12:15   class\n12:15 – 13:30   lunch\n13:30 – 14:45   class\n14:45 – 15:00   coffee break\n15:00 – 16:30   class\n16:30 – 17:00   extra time if we can’t cover all lecture materials \nCourse contents (chapters refer to the primary textbook unless otherwise mentioned):\n\n1. Real analysis (Simon & Blume) \na) Functions \nb) Series and sequences \nc) Limits \nd) Differentiation and integration \ne) Implicit function theorem \n\n2. Linear algebra (Ch. 1) \na) Matrices\, determinants\, inverses \nb) Vector spaces \nc) Jacobians \n\n3. Constrained optimization and optimal control (Chs. 2\, 3\, 9\, 12) \na) Types of problems: static\, dynamic\, deterministic\, stochastic \nb) Types of constraints: equality\, inequality\, static\, dynamic\, hard\, soft \nc) Lagrangian\, Hamiltonian\, Bellman \nd) Kuhn-Tucker \ne) Linear programming and duality \n\n4. Theory of dynamic systems (Chs. 5 – 7\, 11) \na) Difference equations \nb) Differential equation \n\n5. Introductory set theory and topology (Ch. 13 & 14) \na) Open and closed sets \nb) Convexity and compactness \nc) Separating hyperplane theorems \nd) Fixed points \n\n6. Probability and measure (Bain & Engelhardt) \nPrimary Textbook: Further Mathematics for Economic Analysis\, Sydsaeter et al. (Pearson) \nComplementary readings:\n\nSimon\, Carl P. & Lawrence Blume\, Mathematics for Economists Hardcover\, 1994\nSilberberg\, Eugene: The structure of economics: a mathematical analysis\nChiang & Wainright: Fundamental Methods of Mathematical Economics\nBain & Engelhardt: Introduction to Probability and Mathematical Statistics\n\nVenue\nHalle Institute for Economic Research (IWH) – Member of the Leibniz Association\, Kleine Maerkerstrasse 8\, 06108 Halle (Saale)\, Germany\, conference room (building Leipziger Strasse 100\, 3rd floor). \nRegistration\nPlease register for the course until September 30\, 2025 by sending an e-mail to cgde@iwh-halle.de. \nThe course is designed for at most 20 participants. Please note\, that the course cannot be credited as a Special Course in the IWH-DPE curriculum.
URL:https://cgde-home.de/event/mathematics-for-economists-2/2025-10-06/
LOCATION:Halle Institute for Economic Research (IWH) – Member of the Leibniz Association\, Leipziger Straße 100\, 06108 Halle (Saale)\, conference room\, 3rd floor\, Leipziger Strasse 100\, Halle (Saale)\, Saxony-Anhalt\, 06108\, Germany
CATEGORIES:Special Courses
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