MATH 105 • Midterm • Introduction to Calculus I
Sınava 4 gün kaldı.
“Özellikle liseden temeliniz yoksa oldukça yardımcı oluyor. Limit ve Türev hakkında hiçbir şey bilmeyerek geldim ve en sonunda dersi A ile geçtim.”
İlker Solak
İşletme
Üniversitedeki en temel Matematik dersi olan Math 105 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki soruların çözümleriyle öğrenecek, sonrasında son yılların çıkmış sınav sorularıyla antreman yapabileceksin.
Bu dersimizde sunduğumuz içerikler sırasıyla: 1) Calculus Preliminaries 2) Limits of functions and Squeeze Theorem 3) Limits at Infinity and Infinite Limits 4) Domain and Range of Functions 5) Asymptotes 6) Limits of Trigonometric Functions 7) Continuity and Discontinuity 8) Intermediate Value Theorem 9) Past Exam Problems
Eğitmenler
Dorukhan Özcan
Co-Founder & CEO
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.
Tolga Temiz
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.
Gürkan Hoca
Öğr. Üy.
Orta Doğu Tekn. Üni.'den derece ile mezun olduktan sonra yüksek lisans ve doktora çalışmalarımı da yurt dışında tamamladım. Ardından aynı üniversitede öğretim üyesi olarak görev yaptım. Üniversite öğrencisi olmanın ne demek olduğunu unutmayarak, dersleri öğrencilerimin gözünden anlatmanın ve onlara özel anlama yolları geliştirmenin önemini çok iyi biliyorum. Öğretmenin aslında bir "sanat" olduğunu biliyorum ve bu sanatı sizlere gösterebilmek için buradayım.
Sınava 4 gün kaldı.
Paketi Tamamla
🎓 Bilkent Üniversitesinde öğrencilerin %92'si tüm paketi alarak çalışıyor.
MATH 105 • Final
Introduction to Calculus I
Dorukhan Özcan
1599 TL
MATH 105 • Midterm
Introduction to Calculus I
Dorukhan Özcan
1599 TL
Konular
Real Number, Inequalities and Absolute Value
Inequalities and Absolute Value
Fall 2021 Exam Problem: Inequalities
Fall 2022 Exam Problem: Inequalities
Fall 2019 Exam Problem: Inequalities
Fall 2021 Exam Problem: Inequalities
Functions and their Graphs, Operations
Domain of Functions
Composite Functions
Even & Odd Functions
Graphing Operations I
Graphing Operations II
Trigonometric Functions I
Trigonometric Functions II
Limits of Functions
Limits of Functions
Limits with Absolute Value
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
The Squeeze (Sandwich) Theorem
The Squeeze (Sandwich) Theorem
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Limits at Infinity and Infinite Limits
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Infinite Limits
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
Asymptotes
Vertical and Horizontal Asymptotes
Oblique Asymptotes
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Limits of Trigonometric Functions
Limit of Trigonometric Functions I
Limit of Trigonometric Functions II
Limit of Trigonometric Functions III
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Continuity and Discontinuity
Continuity
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
Exam like Question 9
Intermediate Value Theorem
Intermediate Value Theorem I
Intermediate Value Theorem II
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
The Limit Definition of Derivatives
Rate of Change: Derivative at a Point
Derivative as a Function I
Derivative as a Function II
"Hidden" Derivative
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
Differentiability
Differentiability (with Limit Definition)
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Rules of Differentiation & Trigonometric Functions
Power Rule
Higher Order Derivative
Derivative of Exponentials
Product Rule
Quotient Rule
Derivatives of Trigonometric Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
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
Equation of a Tangent Line
Derivative as a Rate of Change
Equation of a Tangent Line
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Past Exams Problems Part I
Fall 2019 Exam: Domain of a Function
Spring 2022 Exam: Domain & Composite Functions
Fall 2022 Exam: Domain & Composite Functions
Spring 2023 Exam: Limit of Functions
Spring 2022 Exam: Limit of Functions
Spring 2019 Exam: Limit of Functions
Fall 2018 Exam: Limits of Functions
Fall 2022 Exam: Limit with Absolute Value
Fall 2019 Exam: Limit of Functions
Spring 2019 Exam: The Squeeze Theorem
Fall 2022 Exam: The Squeeze (Sandwich) Theorem
Spring 2022 Exam: The Squeeze Theorem
Fall 2019 Exam: Squeeze Theorem
Fall 2021 Exam: Squeeze Theorem
Spring 2023 Exam: Squeeze Theorem
Fall 2022 Exam: Squeeze Theorem
Fall 2019 Exam: Limits at Infinity
Spring 2023 Exam: Limit at Infinity
Fall 2020 Exam: Limits of Trigonometric Functions
Spring 2019 Exam: Limits of Trigonometric Functions
Fall 2021 Exam: Limits of Trigonometric Functions
Fall 2022 Exam: Limits of Trigonometric Functions
Spring 2022 Exam: Limits of Trigonometric Functions
Sprign 2022 Exam: Asymptotes
Fall 2020 Exam: Asymptotes
Fall 2020 Exam: Asymptotes
Fall 2021 Exam: Asymptotes
Fall 2022 Exam: Asymptotes
Spring 2022 Exam: Asymptotes
Spring 2023 Exam: Asymptotes
Fall 2019 Exam: Asymptotes
Fall 2019 Final Exam: Asymptotes
Fall 2021 Exam: Continuity
Fall 2017 Exam: Continuity
Fall 2019 Exam: Continuity
Spring 2019 Exam: Continuity
Spring 2019 Exam: Intermediate Value Theorem
Fall 2018 Exam: Intermediate Value Theorem
Spring 2022 Exam: Intermediate Value Theorem
Fall 2020 Exam: Intermediate Value Theorem
Fall 2021 Exam: Intermediate Value Theorem
Fall 2019 Exam: Intermediate Value Theorem
Fall 2020 Exam: Intermediate Value Theorem
Spring 2021 Exam: Intermediate Value Theorem
Fall 2022 Exam: Intermediate Value Theorem
Spring 2020 Exam: Intermediate Value Theorem
Fall 2018 Exam: Intermediate Value Theorem
Past Exams Problems Part II
Limit Definition of Derivative 1
Limit Definition of Derivative 2
Limit Definition of Derivative 3
Limit Definition of Derivative 4
Fall 2019 Exam: Limit Definition of Derivative
Spring 2021 Exam: Limit Definition of Derivative
Spring 2023 Exam: Limit Definition of Derivative
The "Hidden" Limit Definition I
The "Hidden" Limit Definition II
Fall 2021 Exam: Tangent Line
Spring 2021 Exam: Tangent Line & Limit Definition
Sınav Provası I: Fall 2023 Exam
Limit without L'Hopital's Rule
The Squeeze (Sandwich) Theorem
Limit Definition of Derivative
Asymptotes
Tangent Line & Chain Rule
Implicit Differentiation
Sınav Provası II: Spring 2024 Exam
The Squeeze Theorem
Theory Problem I (Even and Odd Functions)
Theory Problem II (Even and Odd Functions)
Continuity and Limit of Trigonometric Functions
Intermediate Value Theorem
Asymptotes
Differentiability and The Limit Definition of Derivative
Equation of a Tangent Line
Fall 2024 Exam
Trigonometric Functions
The Squeeze Theorem
Limit without L'Hopital
Continuity
Intermediate Value Theorem
Asymptotes
Limit Definition of Derivative
Differentiability
True-False Theory Problem
True-False Theory Problem
Spring 2025 Exam
Domain & Composite Functions
Limit without L'Hopital's
The Squeeze Theorem
Limit of Trigonometric Functions
Continuity & Intermediate Value Theorem
Asymptotes
True-False Theory Problem
True-False Theory Problem
True-False Theory Problem
Bonus Part: Her şeyi çözdüm, Ekstra zor soru yok mu?
Limit of Functions (Mixed)
Limit without L'Hopital's Rule
Limit of Functions (Mixed)
Limits & Intermediate Value Theorem
Continuity
Continuity & Squeeze Theorem
The Squeeze Theorem
Discontinuity and Asymptotes
Limit Definition of Derivative
Limit Definition of Derivative
Limit Definition of Derivative
Limit Definition of Derivative
Değerlendirmeler
Güzel
hatırlatma oldu süper oldu
mükemmel hocalarınız var
Özellikle liseden temeliniz yoksa oldukça yardımcı oluyor. Limit ve Türev hakkında hiçbir şey bilmeyerek geldim ve en sonunda dersi A ile geçtim.
Ders İçeriği
Real Number, Inequalities and Absolute Value
Inequalities and Absolute Value
Fall 2021 Exam Problem: Inequalities
Fall 2022 Exam Problem: Inequalities
Fall 2019 Exam Problem: Inequalities
Fall 2021 Exam Problem: Inequalities
Functions and their Graphs, Operations
Domain of Functions
Composite Functions
Even & Odd Functions
Graphing Operations I
Graphing Operations II
Trigonometric Functions I
Trigonometric Functions II
Limits of Functions
Limits of Functions
Limits with Absolute Value
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
The Squeeze (Sandwich) Theorem
The Squeeze (Sandwich) Theorem
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Limits at Infinity and Infinite Limits
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Infinite Limits
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
Asymptotes
Vertical and Horizontal Asymptotes
Oblique Asymptotes
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Limits of Trigonometric Functions
Limit of Trigonometric Functions I
Limit of Trigonometric Functions II
Limit of Trigonometric Functions III
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Continuity and Discontinuity
Continuity
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
Exam like Question 9
Intermediate Value Theorem
Intermediate Value Theorem I
Intermediate Value Theorem II
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
The Limit Definition of Derivatives
Rate of Change: Derivative at a Point
Derivative as a Function I
Derivative as a Function II
"Hidden" Derivative
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
Differentiability
Differentiability (with Limit Definition)
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Rules of Differentiation & Trigonometric Functions
Power Rule
Higher Order Derivative
Derivative of Exponentials
Product Rule
Quotient Rule
Derivatives of Trigonometric Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
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
Equation of a Tangent Line
Derivative as a Rate of Change
Equation of a Tangent Line
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Past Exams Problems Part I
Fall 2019 Exam: Domain of a Function
Spring 2022 Exam: Domain & Composite Functions
Fall 2022 Exam: Domain & Composite Functions
Spring 2023 Exam: Limit of Functions
Spring 2022 Exam: Limit of Functions
Spring 2019 Exam: Limit of Functions
Fall 2018 Exam: Limits of Functions
Fall 2022 Exam: Limit with Absolute Value
Fall 2019 Exam: Limit of Functions
Spring 2019 Exam: The Squeeze Theorem
Fall 2022 Exam: The Squeeze (Sandwich) Theorem
Spring 2022 Exam: The Squeeze Theorem
Fall 2019 Exam: Squeeze Theorem
Fall 2021 Exam: Squeeze Theorem
Spring 2023 Exam: Squeeze Theorem
Fall 2022 Exam: Squeeze Theorem
Fall 2019 Exam: Limits at Infinity
Spring 2023 Exam: Limit at Infinity
Fall 2020 Exam: Limits of Trigonometric Functions
Spring 2019 Exam: Limits of Trigonometric Functions
Fall 2021 Exam: Limits of Trigonometric Functions
Fall 2022 Exam: Limits of Trigonometric Functions
Spring 2022 Exam: Limits of Trigonometric Functions
Sprign 2022 Exam: Asymptotes
Fall 2020 Exam: Asymptotes
Fall 2020 Exam: Asymptotes
Fall 2021 Exam: Asymptotes
Fall 2022 Exam: Asymptotes
Spring 2022 Exam: Asymptotes
Spring 2023 Exam: Asymptotes
Fall 2019 Exam: Asymptotes
Fall 2019 Final Exam: Asymptotes
Fall 2021 Exam: Continuity
Fall 2017 Exam: Continuity
Fall 2019 Exam: Continuity
Spring 2019 Exam: Continuity
Spring 2019 Exam: Intermediate Value Theorem
Fall 2018 Exam: Intermediate Value Theorem
Spring 2022 Exam: Intermediate Value Theorem
Fall 2020 Exam: Intermediate Value Theorem
Fall 2021 Exam: Intermediate Value Theorem
Fall 2019 Exam: Intermediate Value Theorem
Fall 2020 Exam: Intermediate Value Theorem
Spring 2021 Exam: Intermediate Value Theorem
Fall 2022 Exam: Intermediate Value Theorem
Spring 2020 Exam: Intermediate Value Theorem
Fall 2018 Exam: Intermediate Value Theorem
Past Exams Problems Part II
Limit Definition of Derivative 1
Limit Definition of Derivative 2
Limit Definition of Derivative 3
Limit Definition of Derivative 4
Fall 2019 Exam: Limit Definition of Derivative
Spring 2021 Exam: Limit Definition of Derivative
Spring 2023 Exam: Limit Definition of Derivative
The "Hidden" Limit Definition I
The "Hidden" Limit Definition II
Fall 2021 Exam: Tangent Line
Spring 2021 Exam: Tangent Line & Limit Definition
Sınav Provası I: Fall 2023 Exam
Limit without L'Hopital's Rule
The Squeeze (Sandwich) Theorem
Limit Definition of Derivative
Asymptotes
Tangent Line & Chain Rule
Implicit Differentiation
Sınav Provası II: Spring 2024 Exam
The Squeeze Theorem
Theory Problem I (Even and Odd Functions)
Theory Problem II (Even and Odd Functions)
Continuity and Limit of Trigonometric Functions
Intermediate Value Theorem
Asymptotes
Differentiability and The Limit Definition of Derivative
Equation of a Tangent Line
Fall 2024 Exam
Trigonometric Functions
The Squeeze Theorem
Limit without L'Hopital
Continuity
Intermediate Value Theorem
Asymptotes
Limit Definition of Derivative
Differentiability
True-False Theory Problem
True-False Theory Problem
Spring 2025 Exam
Domain & Composite Functions
Limit without L'Hopital's
The Squeeze Theorem
Limit of Trigonometric Functions
Continuity & Intermediate Value Theorem
Asymptotes
True-False Theory Problem
True-False Theory Problem
True-False Theory Problem
Bonus Part: Her şeyi çözdüm, Ekstra zor soru yok mu?
Limit of Functions (Mixed)
Limit without L'Hopital's Rule
Limit of Functions (Mixed)
Limits & Intermediate Value Theorem
Continuity
Continuity & Squeeze Theorem
The Squeeze Theorem
Discontinuity and Asymptotes
Limit Definition of Derivative
Limit Definition of Derivative
Limit Definition of Derivative
Limit Definition of Derivative
Sınava 4 gün kaldı.
Sıkça Sorulan Sorular
Örneğin, Koç Üniversitesi - MATH 101 (Calculus) veya başka bir okulun benzer dersi olsun, paketlerimiz tam da o derse göre tasarlanır. Böylece nokta atışı çalışır, zaman kazanırsın.
Sınava özel videolar —konu anlatımları, çıkmış sorular ve çözümleri, özet notlar—içerir. Sınavda sıkça çıkan soruları hedefler. Eğitmenlerimiz, üniversitenin akademik takvimini takip ederek paketleri sürekli günceller. Böylece, gereksiz detaylarla vakit kaybetmeden başarını artırmaya odaklanabilirsin.