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MATH 106

Introduction to Calculus II

MATH 106 picks up where the first semester left off and turns calculus into a real working toolkit: integration as the inverse of differentiation, then the machinery to actually compute integrals, solve simple differential equations, and extend everything to functions of several variables. You will spend the term grinding through problem sets and two written exams, learning to recognize which technique (substitution, parts, partial fractions, Lagrange multipliers) a given problem wants. It is a required gateway for almost every engineering and science track at Bilkent, since later courses in physics, ODEs, probability, and economics quietly assume you can integrate and handle partial derivatives without thinking.

Credit4ECTS6.5FacultyFaculty of ScienceBölümMathematicsPreMATH 105

Değerlendirme 79% — 2 adım

39%
40%
Midterm:Essay/written Midterm 39%
Final:Essay/written Final Exam 40%

Önerilen kaynaklar 1 kitap

📖
Önerilen
Calculus (9th Ed.)
D. Varberg, E. Purcell
S. Rigdon · 2014

Haftalık müfredat 14 hafta

Hafta 1
Antiderivatives (3.8) - Introduction to Differential Equations (3.9).
Hafta 2
Introduction to Area (4.1) - The Definite Integral (4.2).
Hafta 3
The Definite Integral Cont'd (4.2) - The First Fundamental Theorem of Calculus (4.3).
Hafta 4
The Second Fundamental Theorem of Calculus and the Method of Substitution (4.4) - The Mean Value Theorem for Integrals and the Use of Symmetry (4.5).
Hafta 5
Area of a Plane Region (5.1) - Inverse Functions and Their Derivatives (6.2).
Hafta 6
The Natural Logarithm Function (6.1) - The Natural Exponential Function (6.3).
Hafta 7
General Exponential and Logarithmic Functions ( 6.4) - Exponential Growth and Decay (6.5).
Hafta 8
Inverse Trigonometric Functions ( 6.8) - Indeterminate Forms of Type 0/0 (8.1).
Hafta 9
Other Indeterminate Forms (8.2) - Basic Integration Rules (7.1).
Hafta 10
Integration by Parts (7.2) - Trigonometric Integrals (7.3).
Hafta 11
Rationalizing Substitutions (7.4) - Partial Fractions (7.5).
Hafta 12
Partial Derivatives (12.2) - The Chain Rule (12.6).
Hafta 13
Maxima and Minima (12.8).
Hafta 14
The Method of Lagrange Multipliers (12.9).

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Geçmiş GPA dağılımı 52 dönem · ort. 2.14

DönemCourse CPA
2025-2026 Fall 1.72 4 sec · 217 öğr
2024-2025 Fall 1.75 4 sec · 206 öğr
2024-2025 Summer 1.78 2 sec · 65 öğr
2024-2025 Spring 1.98 6 sec · 402 öğr
2023-2024 Fall 1.96 4 sec · 201 öğr
2023-2024 Summer 1.74 2 sec · 86 öğr
2023-2024 Spring 2.03 6 sec · 395 öğr
2022-2023 Fall 1.90 4 sec · 222 öğr
2022-2023 Summer 2.14 2 sec · 73 öğr
2022-2023 Spring 1.82 5 sec · 399 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

If the sum of scores for the midterm exam, and seven quizzes is less than 12 (out of 60) then you will receive an FZ grade.

Hocalar 3 bu dönem · 41 geçmiş

Bu dönem (2025-2026 Spring) · 6 section
Kamer Rodoplu ×2, Merve Seçgin ×2, Alexander Goncharov ×2
Geçmişte ders veren (41 kişi)
Mohammed Kamil Alhassan, Nurdan Kar, Mustafa Kerem Yüksel, Tomos Parry, Bülent Ünal, Yaman Paksoy, Yaghoub Heydarzade, Natalya Zheltukhina, Yosum Kurtulmaz, Anargyros Katsampekis, Gamzegül Karahisarlı, Ali Süleyman Üstünel, Derya Çıray Randriambololona, Adalet Çengel, Hamza Yeşilyurt +26 kişi daha