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ECON 515

Mathematics for Economists I

This is the graduate economics department's mathematical boot camp — the course that retools you from "I know some calculus" into someone who can read a theorem in JET and actually follow the proof. You'll work through real analysis on Euclidean spaces, convex analysis, and optimization theory (unconstrained, Lagrangean, Kuhn-Tucker), mostly via problem sets out of Sundaram and Bartle, with a midterm, final, and quiz that lean on written proofs rather than mechanical computation. It's the prerequisite backbone for micro theory, dynamic optimization, and anything involving fixed-point arguments later in the PhD sequence.

Credit3ECTS5FacultyFaculty of Economics, Administrative, and Social SciencesBölümEconomics

Değerlendirme 100% — 3 adım

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

Önerilen kaynaklar 4 kitap

📕
Zorunlu
A first course in optimization theory
Rangarajan K. Sundaram
1996 · Cambridge University Press
📖
Önerilen
The elements of real analysis
Robert G. Bartle
1966 · John Wiley & Sons.Inc.
📖
Önerilen
Convex Functions
A. W. Roberts and D. E. Varberg, Academic Press
📖
Önerilen
Optimization in economic theory
Avinash K. Dixit, Oxford University Press

Haftalık müfredat 14 hafta

Hafta 1
Algebraic and order-structural properties of Euclidean spaces
Hafta 2
Inner product and normed spaces
Hafta 3
Metric spaces and sequences
Hafta 4
Topological spaces: Interior, closure and boundary of a set
Hafta 5
Nearest Point Theorem, compactness
Hafta 6
Characterizations of compactness
Hafta 7
Continuity
Hafta 8
Complete spaces
Hafta 9
Differentiation
Hafta 10
Directional derivatives and optimization
Hafta 11
Concave, convex, quasi-concave quasi-convex functions
Hafta 12
Characterization of concave and convex functions in terms of derivatives
Hafta 13
Higher order derivatives
Hafta 14
Caratheodory's Theorem, affine independence and simpleces

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Geçmiş GPA dağılımı 19 dönem · ort. 2.81

DönemCourse CPA
2025-2026 Fall 2.98 1 sec · 15 öğr
2024-2025 Fall 2.86 1 sec · 11 öğr
2023-2024 Fall 2.73 1 sec · 9 öğr
2022-2023 Fall 2.82 1 sec · 15 öğr
2021-2022 Fall 3.45 1 sec · 7 öğr
2020-2021 Fall 2.79 1 sec · 9 öğr
2019-2020 Fall 3.05 1 sec · 8 öğr
2018-2019 Fall 2.75 1 sec · 11 öğr
2017-2018 Fall 2.89 1 sec · 15 öğr
2016-2017 Fall 2.54 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 0 bu dönem · 3 geçmiş

Geçmişte ders veren (3 kişi)
Talat Şenocak, Semih Koray, Ferhad Hüseyin