The course is focused on mathematical methods which are underlying modern economic theory such as difference and differential equations and their systems, dynamic optimization methods, dynamic programming, foundations of nonlinear dynamics and approximation methods such as linearization and log-linearization. Developed mathematical tools are used in solving important economic models such as the IS-LM model or Ramsey model. Students will extensively use Python (prior knowledge is not required - a detailed introduction will be provided).
The course will will be taught live, in person, at the Institute according to the timetable (Thursday 2 PM - 5 PM, room 314).
Poslední úprava: Stráský Josef, doc. PhDr. RNDr., Ph.D. (06.10.2022)
https://dl1.cuni.cz/user/index.php?id=2709
The course is focused on mathematical methods which are underlying modern economic theory such as difference and differential equations and their systems, dynamic optimization methods, dynamic programming, foundations of nonlinear dynamics and approximation methods such as linearization and log-linearization. Developed mathematical tools are used in solving important economic models such as the IS-LM model or Ramsey model. Students will extensively use Python (prior knowledge is not required - a detailed introduction will be provided).
The course will will be taught live, in person, at the Institute according to the timetable (Thursday 2 PM - 5 PM, room 314).
Poslední úprava: Stráský Josef, doc. PhDr. RNDr., Ph.D. (06.10.2022)
Literatura -
Ronald Shone: Economic Dynamics: Phase Diagrams and their Economic Application, Cambridge University Press, 2003 Ronald Shone: An Introduction to Economic Dynamics, Cambridge University Press, 2001 Dawkins, Paul: Differential Equations http://tutorial.math.lamar.edu/ (follow the link to Differential Equations (Math 3301) link). Hájková, John, Kalenda, Zelený: Matematika, Matfyzpress, Praha 2006
Ljunqvist, Sargent: Recursive Macroeconomic Theory, third edition, The MIT Press 2012 Jianjun Miao: Economic Dynamics in Discrete Time, The MIT Press 2014 Jerome Adda and Russell Cooper: Dynamic Economics - Quantitative Methods and Applications
Poslední úprava: Stráský Josef, doc. PhDr. RNDr., Ph.D. (06.10.2022)
Ronald Shone: Economic Dynamics: Phase Diagrams and their Economic Application, Cambridge University Press, 2003 Ronald Shone: An Introduction to Economic Dynamics, Cambridge University Press, 2001 Dawkins, Paul: Differential Equations: http://tutorial.math.lamar.edu/ (follow the link to Differential Equations (Math 3301) link). Hájková, John, Kalenda, Zelený: Matematika, Matfyzpress, Praha 2006
Ljunqvist, Sargent: Recursive Macroeconomic Theory, third edition, The MIT Press 2012 Jianjun Miao: Economic Dynamics in Discrete Time, The MIT Press 2014 Jerome Adda and Russell Cooper: Dynamic Economics - Quantitative Methods and Applications
Poslední úprava: Stráský Josef, doc. PhDr. RNDr., Ph.D. (06.10.2022)
Požadavky ke zkoušce -
Přejděte prosím na anglickou verzi, jsou tam všechny detaily kurzu.
Poslední úprava: Stráský Josef, doc. PhDr. RNDr., Ph.D. (06.10.2022)
Workshop style course
Problem Sets – 4 problem sets, 6 points each
Creative homework (project) – 6 points
Exam – 24 points (written exam + short oral discussion; during the exam period after Christmas).
Activity during the lectures/seminars – some extra points.
To pass the course you must:
Attempt to solve each problem set and the "project".
Get at least 70% points from problem sets and the "project".
Get at least 60% points from exam,
Get at least 70% points total.
All homeworks will be pusblished and handed over via Moodle (Moodle 1 !)
https://dl1.cuni.cz/user/index.php?id=2709
Poslední úprava: Stráský Josef, doc. PhDr. RNDr., Ph.D. (06.10.2022)
Sylabus -
Intro to course, Intro to Python, Differential equations, Exercises
Solow model, Harrod-Domar model, Exercises Difference equations, Multiplier-Accelerator Systems of differential, ISLM Dornbusch model
Optimization (continuous), Ramsey model Optimization (discrete), Belman equation (cake eating)
