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ECON 516

Mathematics for Economists II

The second half of the graduate math sequence shifts from static optimization to the dynamic and stochastic machinery that underpins modern macro and theory work: contraction mappings, Bellman equations, measure-theoretic integration, and limit theorems for sequences of random variables. You'll move between proving things rigorously (existence, uniqueness, convergence) and setting up dynamic programming problems on problem sets, with a quiz, written midterm, and open-book final. Expect this to be the toolkit you actually use later in macro, econometrics, and any field course that touches infinite-horizon decisions or asymptotic statistics.

Credit3ECTS5FacultyFaculty of Economics, Administrative, and Social SciencesBölümEconomicsPreECON 515

Değerlendirme 100% — 3 adım

30%
35%
35%
Quiz Quiz 30%
Midterm:Essay/written Closed-book, Exam, Memory-aid-sheet 35%
Final:Open-book Closed-book, Exam, Memory-aid-sheet 35%

Önerilen kaynaklar 4 kitap

📖
Önerilen
The Elements of Real Analysis
R. G. Bartle
1966 · John Wiley & Sons
📕
Zorunlu
A first course in optimization theory
R. K. Sundaram
1996 · Cambridge University Press
📖
Önerilen
Convex Functions
A. W. Roberts, D. E. Varberg
Academic Press
📖
Önerilen
Optimization in Economic Theory
A. K. Dixit, Oxford University Press

Haftalık müfredat 14 hafta

Hafta 1
Affine subspaces of Euclidean spaces
Hafta 2
Separation theorems
Hafta 3
Constrained optimization
Hafta 4
Concave programming
Hafta 5
Kuhn-Tucker theorem
Hafta 6
Uniform continuity and contractions
Hafta 7
Upper- and lower-semi-continuity of correspondences
Hafta 8
Fixed point theorems
Hafta 9
Existence and uniqueness theorems for initial value problems
Hafta 10
The Wronskian and dimension of the solution space of a normal homogeneous linear differential equation
Hafta 11
Difference and sum calculus
Hafta 12
Linear difference equations: The Casorati and fundamental sets of solutions of homogeneous linear difference equations
Hafta 13
Nonhomogeneous linear differential equations
Hafta 14
Nonhomogeneous linear difference equations

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Geçmiş GPA dağılımı 18 dönem · ort. 2.93

DönemCourse CPA
2024-2025 Spring 2.69 1 sec · 11 öğr
2023-2024 Spring 3.49 1 sec · 9 öğr
2022-2023 Spring 2.85 1 sec · 12 öğr
2021-2022 Spring 3.27 1 sec · 7 öğr
2020-2021 Spring 2.80 1 sec · 7 öğr
2019-2020 Spring 3.39 1 sec · 7 öğr
2018-2019 Spring 2.90 1 sec · 7 öğr
2017-2018 Spring 2.74 1 sec · 10 öğr
2016-2017 Spring 2.83 1 sec · 12 öğr
2015-2016 Spring 2.59 1 sec · 15 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

Any student will be qualified to take the final exam.

Hocalar 1 bu dönem · 2 geçmiş

Bu dönem (2025-2026 Spring) · 1 section
Talat Şenocak
Geçmişte ders veren (2 kişi)
Semih Koray, Ferhad Hüseyin