MATH 105 • Tüm Sınavlar • Introduction to Calculus I
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.
Konular
Real Number, Inequalities and Absolute Value
1 konu anlatımı · 4 soru
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
7 konu anlatımı
Domain of Functions
Composite Functions
Even & Odd Functions
Graphing Operations I
Graphing Operations II
Trigonometric Functions I
Trigonometric Functions II
Limits of Functions
3 konu anlatımı · 5 soru
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
1 konu anlatımı · 5 soru
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
4 konu anlatımı · 8 soru
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
2 konu anlatımı · 4 soru
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
3 konu anlatımı · 6 soru
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
2 konu anlatımı · 9 soru
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
2 konu anlatımı · 6 soru
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
4 konu anlatımı · 7 soru
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
1 konu anlatımı · 6 soru
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
6 konu anlatımı · 11 soru
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
3 konu anlatımı · 6 soru
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
47 soru
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
11 soru
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
6 soru
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
8 soru
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
10 soru
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
9 soru
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?
12 soru
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
The Limit Definition of Derivatives
4 konu anlatımı · 8 soru
Rate of Change: Derivative at a Point
Derivative of a Function 1
Derivative of a Function 2
"Hidden" Derivative
Exam like Question 1-2
Exam like Question 3-4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Differentiability
1 konu anlatımı · 4 soru
Differentiability
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Differentiation Rules & The Chain Rule
7 konu anlatımı · 7 soru
Power Rule
Derivatives of Exponential & Logarithmic Functions
Product Rule
Quotient Rule
Derivatives of Trigonometric Functions
Chain Rule 1
Chain Rule 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4-5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Equation of a Tangent Line
4 konu anlatımı · 5 soru
Geometrical Definition of Derivative
Equation of a Tangent Line 1
Equation of a Tangent line 2
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Implicit Differentiation
3 konu anlatımı · 4 soru
Implicit Differentiation 1
Implicit Differentiation 2
Tangent Lines of Implicit Functions
Exam like Question 1-2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Sample Final Problems Part I
23 soru
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
The "Hidden" Limit Definition III
Chain Rule
Chain Rule (Spring 2023)
Chain Rule (Fall 2018)
Spring 2023 Exam: Chain Rule & IVT
Fall 2019 Exam: Chain Rule
Fall 2016 Exam: Chain Rule
Fall 2021 Exam: Tangent Line
Spring 2021 Exam: Tangent Line & Limit Definition
Implicit Differentiation (Spring 2021)
Implicit Differentiation (Fall 2021)
Implicit Differentiation (Spring 2022)
Implicit Differentiation (Spring 2023)
Implicit Differentiation (Fall 2022)
Extreme Values
1 konu anlatımı · 3 soru
Extreme Values 1
Exam like Question 1
Exam like Question 2
Exam like Question 3
First Derivative Test & Concavity
2 konu anlatımı · 10 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
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
Function Sketching
4 konu anlatımı · 4 soru
Function Sketching 1
Function Sketching 2
Function Sketching 3
Function Sketching 4
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Related Rates
3 konu anlatımı · 3 soru
Related Rates-1
Related Rates-2
Related Rates-3
Exam like Question 1
Exam like Question 2
Exam like Question 3
Optimization & Economic Applications
5 konu anlatımı
Optimization 1
Optimization 2
Optimization 3
Optimization 4
Economic Applications
Mean Value Theorem
3 konu anlatımı
Mean Value Theorem 1
Mean Value Theorem 2
Mean Value Theorem 3
Sample Final Problems Part II
18 soru
Mean Value Theorem 1
Mean Value Theorem 2
Mean Value Theorem 3
Mean Value Theorem 4
Mean Value Theorem 5
Mean Value Theorem 6 (Fall 2019)
Spring 2023 Exam: Mean Value Theorem 7
Mean Value Theorem 8 (Spring 2022)
Mean Value Theorem 9
Mean Value Theorem 10
Mean Value Theorem 11 (Spring 2023)
Mean Value Theorem 12 (Fall 2022)
Mean Value Theorem 13
Mean Value Theorem 14
Spring 2021 Exam: Mean Value Theorem 15
Mean Value Theorem 16 (Fall 2022)
Mean Value Theorem 17 (Fall 2019)
Fall 2019 Exam: Mean Value Theorem 18
Sample Final Problems Part III
22 soru
Extreme Values
Extreme Values
Extreme Values 2 (Spring 2023)
Extreme Values 3 (Fall 2021)
Extreme Values 4
Extreme Values 5
Extreme Values 6
Fall 2019 Exam: Extreme Values 7
Curve Sketching 1
Curve Sketching 2
Curve Sketching 3 (Fall 2021)
Curve Sketching 4
Fall 2019 Exam: Optimization Problems
Optimization Problems 1
Optimization Problems 2
Optimization Problems 3
Optimization Problems 4
Optimization Problems 5
Spring 2023 Exam: Economic Applications
Economic Applications 2 (Fall 2022)
Spring 2022 Exam: Economic Applications
Fall 2019 Exam: Economic Applications
Sınav Provası I: Fall 2023 Final Exam
10 soru
Extreme Values & Concavity
Function Sketching
Mean Value Theorem
Mean Value Theorem
True-False Problem
Theory Part I
Theory Part II
Theory Part III
Theory Part IV
Theory Part V
Sınav Provası II: Spring 2024 Final Exam
6 soru
Theory Problems: True & False
Implicit Differentiation & Tangent Lines
Absolute Extremas
Optimization Problems
Related Rates
Mean Value Theorem
Sınav Provası III: Fall 2024 Final Exam
9 soru
Implicit Differentiation
Function Sketching
Mean Value Theorem
Optimization
Related Rates
Chain Rule
Theory: Continuity
Theory: Differentiability
Theory: Extreme Values