Yeditepe biz geldik! Calculus dersi düşündüğün kadar zor değil! Bu dersimizle, ders kitabının bölüm sonundaki en önemli soruları, konu anlatım videolarımızda öğrenecek; daha sonrasında geçmiş senelerde sorulmuş sınav sorularıyla antreman yapabileceksin.
Preliminaries (Temelim Zayıf diyenler için ! )
Functions : Domain and Range
Composite Functions
Inverse of Functions
Exponential and Logarithmic Functions
Limits of Functions
Limits of Functions 1
Limits of Functions 2
Limits Rules
Exam-like Questions 1-2-3
Exam-like Question 4-5-6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
The Squeeze Theorem
The Squeeze Theorem 1
The Squeeze Theorem 2
Exam like Question 1-2-3
Limits at Infinity and Infinite Limits
Limits at Infinity 1
Limits at Infinity 2
Dominant Terms
Infinite Limits
Vertical and Horizontal Asymptotes
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10-11
Exam like Question 12-13-14
Exam like Question 15
Exam like Question 16
Limits of Trigonometric Functions
Limit of Trigonometric Functions 1
Limit of Trigonometric Functions 2
Limit of Trigonometric Functions 3
Exam-like Question 1-2-3
Continuity
Continuity 1
Continuity 2
Exam like Question 1
Exam-like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Discontinuity and Continuous Extension
Exam like Question 6
Exam like Question 7
Exam like Question 8
Intermediate Value Theorem
Intermediate Value Theorem 1
Intermediate Value Theorem 2
Intermediate Value Theorem 3
Exam-like Question 1
Exam like Question 2
Exam like Question 3
Past Exams & Sample Midterm Part I
The Squeeze Theorem 1
The Squeeze Theorem 2
The Squeeze Theorem 3
The Squeeze Theorem 4
The Squeeze Theorem 5
The Squeeze Theorem 6
The Squeeze Theorem 7
The Squeeze Theorem 8
Continuity 1
Continuity 2
Continuity 3
Continuity 4
Continuity and Squeeze Theorem
Intermediate Value Theorem 1
Intermediate Value Theorem 2
Intermediate Value Theorem 3
Intermediate Value Theorem 4
Intermediate Value Theorem 5
Intermediate Value Theorem 6
Horizontal and Vertical Asymptotes 1
Horizontal and Vertical Asymptotes 2
Discontinuity
The Limit Definition of Derivative
Rate of Change: Derivative at a Point
Derivative of a Function
Differentiability (using Limit Definition)
Differentiability (without Limit Definition)
"Hidden" Derivative
Differentiation Rules
Power Rule
Derivatives of Exponential and Logarithms
Product Rule
Quotient Rule
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Exam like Question 13
Exam like Question 14
Exam like Question 15
Exam like Question 16
Derivative of Trigonometric Functions
Derivatives of Trigonometric Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
The Chain Rule
Chain Rule 1
Chain Rule 2
Exam like Question 1
Exam-like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Past Exams & Sample Midterm Part II
Differentiability 1
Differentiability 2
Differentiability 3
Differentiability 4
Differentiability 5
Limit Definition of Derivative 1
Limit Definition of Derivative 2
Limit Definition of Derivative 3
Limit Definition of Derivative 4
Limit Definition of Derivative 5
Chain Rule 1
Chain Rule 2
Chain Rule 3
Chain Rule 4
Chain Rule 5
Chain Rule 6
Tangent Lines and Their Slopes
Geometrical Definition of Derivative
Equation of a Tangent Line
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
Higher Order Derivative
Higher Order Derivative
Exam like Question 1-2-3
Exam like Question 4
Derivative of Inverse Trig. Functions
Inverse Trigonometric Functions
Derivative of Inverse
Derivatives of Inverse Trigonometric Functions
Exam like Question 1-2
Exam like Questions 3-4
Exam like Question 5-6
Implicit Differentiation
Implicit Differentiation 1
Implicit Differentiation 2
Tangent Lines of Implicit Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Logarithmic Differentiation
Logarithmic Differentiation
Exam like Question 1
Exam like Question 2-3
The Mean Value Theorem
Mean Value Theorem 1
Mean Value Theorem 2
Mean Value Theorem 3
Mean Value Theorem 4
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Related Rates
Related Rates I
Related Rates II
Related Rates III
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Indeterminate Forms (L'Hopital's Rule)
Indeterminate Form 1 (0/0)
Indeterminate Form 2 (∞/∞)
Indeterminate Form 3 (0 x ∞)
Indeterminate Form 4 ( ∞ - ∞)
Indeterminate Form 5 - 6 (∞^0 and 0^0)
Indeterminate Form 7 ( 1 ^ ∞)
Antiderivatives and Initial Value Problems
Anti-derivative 1
Integral of Trigonometric Functions 1
Integral of Exponential Functions
Initial Conditions (Initial Value Problem)
Initial Conditions (Initial Value Problem)
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Past Exams & Sample Midterm Part III
Equation of a Tangent Line 1
Equation of a Tangent Line 2
Equation of a Tangent Line 3
Horizontal Tangent Line 1
Horizontal Tangent Line 2
Implicit Differentiation 1-2
Implicit Differentiation 3
Implicit Differentiation 4
Implicit Differentiation 5
Implicit Differentiation 6
Implicit Differentiation 7
Logarithmic Differentiation 1
Logarithmic Differentiation 2
Logarithmic Differentiation 3
Logarithmic Differentiation 4
Inverse Trig. Functions 1
Inverse Trig. Functions 2-3
Inverse Trig. Functions 4
Inverse Trig. Functions 5-6
Implicit & Inverse Trigonometric Functions
Derivative of Inverse 1
Derivative of Inverse 2
Derivative of Inverse 3
Mean Value Theorem 1
Mean Value Theorem 2
Mean Value Theorem 3
Mean Value Theorem 4
Mean Value Theorem 5
Mean Value Theorem 6
Mean Value Theorem 7
Mean Value Theorem 8
Mean Value Theorem 9
Mean Value Theorem 10
Mean Value Theorem 11
Mean Value Theorem 12
(NEW) Fall 2023 Exam Problems
Limits of Trigonometric Functions
Continuity & Squeeze Theorem
Limit of Functions
Differentiability
The Mean Value Theorem
The Mean Value Theorem
Logarithmic Differentiation
Implicit Differentiation & Tangent Lines
(NEW) Spring 2024 Exam Problems
Limit of Functions
Limit with Absolute Value
Continuity
Asymptotes
Differentiability
Differentiability
Limit Definition of Derivative
Horizontal Tangent Line
Implicit Differentiation
Equation of a Tangent Line & Chain Rule
Unicourse şirketinin kurucu ortağıyım. 2016 senesinde Galatasaray Lisesinden mezun oldum. Geçtiğimiz dört sene içerisinde 2000 saatten fazla ders anlattım. Anlattığım dersler sırasıyla; Calculus, Çok değişkenli Calculus, Lineer Cebir, Differansiyel Denklemler, Uygulamalı İstatistik ve Stokastik Modelleme dersleridir. Doping Hafıza şirketinde 2017 - 2022 seneleri arasında CEO danışmanlığı yaptım. Koç Üniversitesi Endüstri Mühendisliği ve Ekonomi çift anadal programını tam burslu olarak, 3.96/4.00 not ortalamasıyla bitirdim. Kadıköy Modalıyım.
2016 senesinde başladığım Koç Üniversitesi Matematik bölümünden 2020 senesinde fakülte üçüncüsü olarak mezun oldum. Lisans ve yüksek lisans eğitimlerim boyunca çeşitli derslerde asistanlık yaptım. 2021'de Koç Üniversitesi'nde Matematik yüksek lisansına başladım ve 2023 yılında mezun oldum. Şimdi Michigan State Üniversitesi'nde doktora yapıyorum. Topoloji alanıyla ilgilenmekteyim.
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2019 senesinde Koç Üniversitesi Matematik bölümüne başladım. Geçtiğimiz senelerde Calculus ve Linear Algebra derslerinde Tutor ve Teaching Assistant pozisyonlarında görev aldım. Halen Koç Üniversitesi Matematik ve Bilgisayar Mühendisliği çift anadal programını 4.00/4.00 ortalamayla fakülte birincisi olarak sürdürüyorum. Trigonometrik fonksiyonların elips üzerinde nasıl tanımlanabileceğini merak etmemle başlayan Matematik tutkumu aktarmak için Unicourse Matematik Zümresine katıldım.
2019 senesinde Ankara Fen Lisesinden mezun oldum. Lise boyunca matematik olimpiyatları kapsamında çeşitli yarışmalara katıldım. 2019 senesinde Koç Üniversitesi Elektrik Elektronik mühendisliği bölümüne başladım. Halen Koç Üniversitesi Elektrik Elektronik ve Matematik çift anadal programını 3.9 ortalamayla sürdürüyorum. Matematik her zaman benim için çok değerli olduğundan, Unicourse ile birlikte bu tutkumu paylaşmak ve etkili matematik öğretimine katkıda bulunabilmek istiyorum.
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