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ECON 453

Dynamic Systems and Control

Despite the catalog title, this is really a math-methods course for macroeconomists: you learn the tools — calculus of variations, optimal control (Pontryagin), dynamic programming, and the phase-plane analysis of ODE systems — and then turn them on growth theory, working from the Solow neoclassical model through transitional dynamics to endogenous growth. Work is theory-heavy: a homework set, written midterm and final, plus a paper proposal where you frame your own growth question. It's the bridge between intermediate macro and graduate-style modeling, so anything you do later in growth, business cycles, or quantitative macro will lean on the optimization and stability techniques built here.

Credit3ECTS5FacultyFaculty of Economics, Administrative, and Social SciencesBölümEconomicsPre(ECON 201 and ECON 202) or (ECON 204 and ECON 206)

Değerlendirme 100% — 4 adım

20%
20%
30%
30%
Homework Homework and Quiz 20%
Midterm:Essay/written Midterm 20%
Final:Essay/written Final 30%
Paper Proposal Research Proposal 30%

Haftalık müfredat 14 hafta

Hafta 1
Dynamic Optimization: Calculus of variations
Hafta 2
Calculus of variations: The Euler equation
Hafta 3
Calculus of variations: Variable endpoints, infinite planning horizon and the Transversality condition
Hafta 4
Optimal control theory: Pontryagin's maximum principle
Hafta 5
Optimal control theory: Constraints on state and control variables
Hafta 6
Optimal control theory: Sufficient conditions of optimality
Hafta 7
Dynamic programming: Separability and the principle of optimality
Hafta 8
Dynamic programming: Bellman equation, contraction mapping theorem
Hafta 9
Dynamic Systems and Stability: Linear systems
Hafta 10
Dynamic Systems and Stability: Nonlinear systems, local theory
Hafta 11
Dynamic Systems and Stability: Saddles, nodes, foci, and centers
Hafta 12
Dynamic Systems and Stability: Limit sets and attractors, periodic orbits and limit cycles
Hafta 13
Economic Applications
Hafta 14
Economic Applications

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Geçmiş GPA dağılımı 11 dönem · ort. 2.84

DönemCourse CPA
2022-2023 Fall 3.13 1 sec · 15 öğr
2021-2022 Fall 2.72 1 sec · 20 öğr
2020-2021 Fall 3.34 1 sec · 5 öğr
2015-2016 Fall 2.77 1 sec · 29 öğr
2014-2015 Fall 2.31 1 sec · 31 öğr
2013-2014 Spring 3.11 1 sec · 15 öğr
2012-2013 Spring 3.04 1 sec · 19 öğr
2011-2012 Fall 3.02 1 sec · 43 öğr
2010-2011 Fall 2.39 1 sec · 47 öğr
2009-2010 Fall 2.96 1 sec · 29 öğr

Aggregate course GPA — Bilkent STARS'tan public data. Hoca-bazlı per-section detayı için STARS evaluation report →. Öğrenci anket cevapları KVKK kapsamında defter'de tutulmaz.

⚠️ FZ engelleyen şartlar

To be admitted to the final exam, a student must take the midterm exam and submit the research proposal. Students who do not satisfy these criteria will not be admitted to the final exam and will receive an FZ grade from the course.

Hocalar 1 bu dönem · 3 geçmiş

Bu dönem (2025-2026 Spring) · 1 section
Hüseyin Çağrı Sağlam
Geçmişte ders veren (3 kişi)
Alp Erinç Yeldan, Hulusi Hakan Mıhcı, Ercan Erkul