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MATH 230

Probability and Statistics for Engineers

MATH 230 is the course where you stop thinking deterministically and start reasoning about uncertainty — how to model random phenomena, quantify them with distributions, and pull defensible conclusions out of noisy data. You'll spend the semester working problem sets that move from counting and conditional probability through the standard discrete and continuous distributions, and finish by actually doing inference: sampling distributions, the Central Limit Theorem, point estimation, confidence intervals, and hypothesis testing. It's the statistical backbone every engineering department assumes you have before you touch signals, controls, ML, or any data-driven elective downstream.

Credit3ECTS5FacultyFaculty of ScienceBölümMathematicsPreMATH 102

Önerilen kaynaklar 1 kitap

📕
Zorunlu
Modern Mathematical Statistics with Applications
Jay L. Devore, Kenneth Berk
and Matthew A. Carlton · 3rd edition

Haftalık müfredat 14 hafta

Hafta 1
Interpreting Probabilities (2.1), Axioms, Interpretations, and Properties of Probability (2.2)
Hafta 2
Counting Methods (2.3). Conditional Probability (2.4), Independence (2.5).
Hafta 3
Random Variables (3.1), Probability Distributions for Discrete Random Variables (3.2), Expected Value and Standard Deviation (3.3), Moments and Moment Generating Functions (3.4)
Hafta 4
The Binomial Distribution (3.5). Poisson Distribution (3.6) .
Hafta 5
Other Discrete Distributions (3.7)
Hafta 6
Continuous Random Variables. Probability Density Functions and Cumulative Distribution Functions (4.1). Expected Values and Moment Generating Functions (4.2).
Hafta 7
The Normal (Gaussian) Distribution (4.3), Exponential and Gamma Distributions (4.4). Midterm.
Hafta 8
Other Continuous Distributions (4.5), Transformations of a Random Variable (4.7).
Hafta 9
Jointly Distributed Random Variables (5.1), Expected Values (5.2)
Hafta 10
Covariance and Correlation (5.2), Linear Combinations (5.3)
Hafta 11
Statistics and Their Distributions (6.1). Distribution of Sample Totals, Means, and Proportions; the Central Limit Theorem (6.2)
Hafta 12
Chi-squared and t distributions (6.3). Distributions Based on Normal Random Samples (6.4)
Hafta 13
Point Estimation (7.1)
Hafta 14
Methods of Moments and Maximum Likelihood (7.2)

🤖 GenAI politikası

AI-based tools are not allowed in this course. All material submitted for assessment should be the student's own work.

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Geçmiş GPA dağılımı 38 dönem · ort. 2.38

DönemCourse CPA
2025-2026 Fall 2.27 4 sec · 258 öğr
2024-2025 Fall 2.45 4 sec · 256 öğr
2024-2025 Spring 2.38 2 sec · 130 öğr
2023-2024 Fall 2.35 4 sec · 279 öğr
2023-2024 Spring 1.94 2 sec · 110 öğr
2022-2023 Fall 2.39 5 sec · 211 öğr
2022-2023 Spring 2.19 2 sec · 131 öğr
2021-2022 Fall 2.58 5 sec · 240 öğr
2021-2022 Spring 2.33 2 sec · 81 öğr
2020-2021 Fall 2.55 5 sec · 219 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

At least 30/100 in the midterm exam.

Hocalar 1 bu dönem · 7 geçmiş

Bu dönem (2025-2026 Spring) · 2 section
Fatihcan Atay ×2
Geçmişte ders veren (7 kişi)
Nurdan Kar, Dilek Köksal, Gökhan Yıldırım, Ali Süleyman Üstünel, İnci Apaydın, Natalya Zheltukhina, Azer Kerimov