MATH 151 (Spring 24) • Calculus I • Midterm I
Atılım 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.
Konular
Preliminaries (Temelim Eksik diyenler için !)
Domain of Functions
Domain of Exponential Functions
Domain of Logarithmic Functions
Composite Functions
Graphing Operations
Functions Graphing 1
Functions Graphing 2
Graph of Exponential Functions
Graph of Logarithmic Functions 1
Graph of Logarithmic Functions 2
Graph of Trigonometric Functions 1
Graph of Trigonometric Functions 2
Limits of Functions
Limits of Functions 1
Limits of Functions 2
Limits Rules
Exam like Question
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
Exam like Question 11
Exam like Question 12
Exam like Question 13
Exam like Question 14
The Squeeze (Sandwich) Theorem
The Squeeze (Sandwich) Theorem 1
The Squeeze (Sandwich) 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 and Discontinuity
Continuity 1
Continuity 2
Discontinuity and Continuous Extension
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
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
Sample Exam Part I
Domain of Functions 1
Domain of Functions 2
Domain of Functions 3
Inverse of Functions 1
Inverse of Functions 2
Inverse of Functions 3
Inverse of Functions 4
Inverse of Functions 5
Inverse of Functions 6
Shifting & Scaling of Graphs
Limit of Functions 1
Limits of Functions 2
Limit of Functions 3
Limits of Functions 4
Limit of Functions 5
Limit of Functions 6
Limits w Absolute Value 1
Limit w Absolute Value 2
Limits w Absolute Value 3
Limits w Absolute Value 4
Limits of Trig. Functions 1
Limits of Trig Functions 2
Limits at Infinity 1
Limits at Infinity 2
Limits at Infinity 3
Limits at Infinity 4
Limits at Infinity 5
Infinite Limits 1
Infinite Limits 2
Infinite Limits 3
Infinite Limits 4
Infinite Limits 5
Sandwich Theorem 1
Sandwich Theorem 2
Sandwich Theorem 3
Sandwich Theorem 4
Sandwich Theorem 5
Sandwich Theorem 6
Sandwich Theorem 7
Continuity 1
Continuity 2
Continuity 3
Continuity 4
Continuity 5
Continuity 6
Discontinuity 1
Discontinuity 2
Discontinuity 3
Intermediate Value Theorem 1
Intermediate Value Theorem 2
Intermediate Value Theorem 3
Intermediate Value Theorem 4
Intermediate Value Theorem 5
Asymptotes 1
Asymptotes 2
Asymptotes 3
Asymptotes 4
The Derivative
Rate of Change: Derivative at a Point
Derivative of a Function
"Hidden" Derivative
Differentiability 1
Differentiability 2
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
Exam like Question 5
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
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
Exam like Question 4
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
Sample Exam Part II
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
Limit Definition of Derivative 6
Differentiability 1
Differentiability 2
Differentiability 3
Differentiability 4
Differentiability 5
Differentiability 6
Differentiation Rules 1
Differentiation Rules 2
Differentiation Rules 3
Differentiation Rules 4
Differentiation Rules 5
Differentiation Rules 6
Chain Rule 1
Chain Rule 2
Chain Rule 3
Chain Rule 4
Chain Rule 5
Chain Rule 6
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
Implicit Differentiation and Tangent Line
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
Derivative of Inverse 4
Mean Value Theorem 1
Mean Value Theorem 2
Eğitmenler
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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.
Eğitmen
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.
Eğitmen
2014 senesinde başladığım Koç Üniversitesi Matematik bölümünden, Felsefe bölümüyle çift anadal yaparak 2020 senesinde bölüm üçüncüsü olarak mezun oldum. Lisans hayatım boyunca Math106, Math107, Math203, Math204, Math211, Math305 derslerinde Teaching Assistant olarak görev aldım. 2020 senesinde Koç Üniversitesi'nde Matematik üzerine yüksek lisans yapmaya başladım ve Geometric Topology üzerine çalışıyorum. Matematik öğretmek benim için hep çok keyifli ve değer verdiğim bir aktivite oldu. Bu deneyimimi burada Unicourse sayesinde sizlerle etkili bir şekilde paylaşmayı hedefliyorum.
Eğitmen
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.
Eğitmen
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.
Konular
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