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MATH 105

Introduction to Calculus I

This is the calculus track built for economics and management students, so the focus is less on rigorous proofs and more on using limits, derivatives, and optimization to reason about quantities that change — marginal cost, elasticity, profit-maximizing output. You'll spend the semester working through problem sets and two written exams, moving from algebra-of-functions warmups into derivatives and then into the curve-sketching and optimization arguments that justify the "set the derivative to zero" reflex. It's a Year 1 requirement that feeds directly into MATH 106 and serves as the analytic foundation for later economics, finance, and statistics courses, so getting fluent with derivatives here pays off for years.

Credit4ECTS6.5FacultyFaculty of ScienceBölümMathematics

Değerlendirme 100% — 3 adım

20%
40%
40%
Homework 4 Homework Sets 20%
Midterm:Essay/written Exam 40%
Final:Essay/written Final Exam 40%

Önerilen kaynaklar 1 kitap

📕
Zorunlu
Calculus
Varberg - Purcell - Rigdon
2007/9 · Pearson New International Edition

Haftalık müfredat 14 hafta

Hafta 1
Real Numbers (0.1), Inequalities and absolute value (0.2), Lines and Circles (0.3)
Hafta 2
Graphs of Equations (0.4), Functions and Their Graphs (0.5)
Hafta 3
Operations on Functions (0.6), Trigonometric Functions (0.7), Intr. to Limits (1.1)
Hafta 4
Limit Theorems (1.3), Limits Involving Trigonometric Functions (1.4), Limits at Infinity; Infinite Limits (1.5)
Hafta 5
Asymptotes (1.5), Continuity of Functions (1.6)
Hafta 6
Tangent Lines (2.1), The Derivative (2.2), Rules for Finding Derivatives (2.3), Derivatives of Trig. Functions (2.4)
Hafta 7
The Chain Rule (2.5), Higher-order Derivatives (2.6), Implicit Differentiation (2.7), Related Rates (2.8)
Hafta 8
Review for the Midterm Exam
Hafta 9
Maxima and Minima (3.1), Monotonicity and Concavity (3.2)
Hafta 10
Local extrema and Extrema on Open Intervals (3.3), The Mean Value Theorem (3.6)
Hafta 11
Graphing Functions (3.5)
Hafta 12
Graphing Functions (3.5) (cntd.)
Hafta 13
Optimization Problems (3.4)
Hafta 14
Economic Applications (3.4)

🤖 GenAI politikası

Usage of GenAi tools or other LLM tools are allowed in this course. However, students are expected to use such tools as learning boosters rather than copy-paste capabilities. Use of Ai tools in exams and quizes are not allowed. Blunt use of Ai tools in other credit bearing components of the course (HW, lab reports, projects, etc.) such as direct copy/paste, no significant contribution by the student to the Ai generated material or use of Ai material without paraphrasing are considered unethical

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Geçmiş GPA dağılımı 40 dönem · ort. 2.25

DönemCourse CPA
2025-2026 Fall 2.37 7 sec · 419 öğr
2024-2025 Fall 2.37 7 sec · 465 öğr
2024-2025 Summer 2.58 1 sec · 19 öğr
2024-2025 Spring 2.06 6 sec · 305 öğr
2023-2024 Fall 2.15 8 sec · 546 öğr
2023-2024 Spring 2.20 5 sec · 308 öğr
2022-2023 Fall 2.00 8 sec · 571 öğr
2022-2023 Spring 1.96 6 sec · 302 öğr
2021-2022 Fall 1.87 8 sec · 477 öğr
2021-2022 Spring 1.64 5 sec · 313 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

A student whose Midterm score is less than 15 points (out of 100) earns an FZ grade and cannot enter the Final Exam.

Hocalar 3 bu dönem · 39 geçmiş

Bu dönem (2025-2026 Spring) · 5 section
Mustafa Kerem Yüksel ×3, Amin Rezaei Akbarieh, Yaman Paksoy
Geçmişte ders veren (39 kişi)
Merve Seçgin, Müfit Sezer, Natalya Zheltukhina, Türker Özsarı, Nurdan Kar, İzel Sarı Aydın, Anita Nicole Alexander, Kadri İlker Berktav, Ayşegül Altaban, Alexander Goncharov, Metin Gürses, Kamer Rodoplu, Anargyros Katsampekis, Mustafa Akkaya, Redi Haderi +24 kişi daha