MATH 151 / MAT 151 • MidtermCalculus I

Başkent Üniversitesi MATH 151 (Calculus I) Midterm sınavına hazırlık paketi.

İşlenen konular: Functions (Domain-Composite-Inverse), Graph of Functions (Shifting & Scaling), Limits of Functions, The Squeeze (Sandwich) Theorem, Limits at Infinity and Infinite Limits, Asymptotes, Limits of Trigonometric Functions, Continuity and Discontinuity, Intermediate Value Theorem, The Limit Definition of Derivatives, Differentiability, Differentiation Rules (Product, Quotient, Exponential), Higher Order Differentiation, Derivative of Trigonometric Functions, The Chain Rule, Tangent Line Equations, Implicit Differentiation, Derivative of Inverse Function, Logarithmic Differentiation, Linear Approximation (Linearization), The Mean Value Theorem, Related Rates, Extreme Values and Critical Points, Concavity and Inflections, Curve Sketching, Optimization (Extreme Value) Problems, Indeterminate Forms (L'Hopital's Rule).

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81 konu anlatımı · 15 sa 26 dk
4.9 puan
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Eğitmenler

Dorukhan Özcan

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

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.

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Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar

Konular

Ders Tanıtımı

Domain of Functions

Domain of Exponential & Logarithms

Even and Odd Functions

The Vertical & Horizontal Line Tests

Composite Functions

Periodic Functions

Inverse of Functions

Inverse of Exponential & Logarithms

Inverse Trigonometric Functions

Graph of Functions (Shifting & Scaling)

Ücretsiz

Graph of Functions I

Ücretsiz

Graph of Functions II

Ücretsiz

Graph of Functions III

Ücretsiz

Graph of Exponential Functions

Graph of Logarithmic Functions

Graph of Trigonometric Functions 1

Graph of Trigonometric Functions 2

Limits of Functions

Ücretsiz

Limits with Absolute Value

Ücretsiz

Limits Rules

Exam-like Questions 1

Ücretsiz

Exam-like Questions 2

Ücretsiz

Exam-like Questions 3

Ücretsiz

Exam-like Questions 4

Ücretsiz

Exam-like Question 5

Exam-like Question 6

Exam-like Questions 7

Exam-like Question 8

Exam-like Question 9

Exam-like Question 10

The Squeeze (Sandwich) Theorem

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Ücretsiz

Exam-like Question 5

Ücretsiz

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

Exam-like Question 9

Vertical and Horizontal Asymptotes

Oblique Asymptotes

Exam-like Question 1

Exam-like Question 2

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

Exam-like Question 7

Exam-like Question 8

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

Exam-like Question 10

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

Rate of Change: Derivative at a Point

Ücretsiz

Derivative as a Function I

Derivative as a Function II

"Hidden" Derivative

Ücretsiz

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

Differentiability (with Limit Definition)

Differentiability (without using 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

Exam-like Question 7

Exam-like Question 8

Exam-like Question 9

Power Rule

Derivatives of Exponentials

Product Rule

Quotient Rule

Exam-like Question 1

Ücretsiz

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Ücretsiz

Exam-like Question 6

Exam-like Question 7

Exam-like Question 8

Exam-like Question 9

Ücretsiz

Exam-like Question 10

Exam-like Question 11

Exam-like Question 12

Higher Order Derivative

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3-4-5

Derivatives of Trigonometric Functions

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Chain Rule I

Chain Rule 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

Exam-like Question 7

Exam-like Question 8

Exam-like Question 9

Equation of a Tangent Line I

Equation of a Tangent Line II

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

Exam-like Question 7

Exam-like Question 8

Exam-like Question 9

Exam-like Question 10

Exam-like Question 11

Challenging: Tangent Line Passes through a Point

Exam-like Question 12

Exam-like Question 13

Implicit Differentiation I

Implicit Differentiation II

Tangent Lines & 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

Exam-like Question 7

Exam-like Question 8

Related Rates I

Related Rates II

Related Rates III

Exam-like Question

Derivative of Inverse

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Inverse Trigonometric Functions

Derivatives of Inverse Trigonometric Functions

Exam-like Question 1-2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Exam-like Question 6

Implicit & Inverse Trigonometric Functions III

Logarithmic Differentiation I

Logarithmic Differentiation II

Exam-like Question 1-2

Ücretsiz

Exam-like Question 3

Ücretsiz

Exam-like Question 4

Exam-like Question 5

Exam-like Question 6

Linear Approximation

Ücretsiz

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Critical Points, Absolute Maximum & Minimum

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

First Derivative Test & Extremum Values

Second Derivative & Concavity

Ücretsiz

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

Curve Sketching I

Curve Sketching II

Curve Sketching III

Exam-like Question 1

Exam-like Question 2

Mean Value Theorem I

Mean Value Theorem II

Mean Value Theorem III

Mean Value Theorem IV

Exam-like Question 1

Ücretsiz

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

Indeterminate Form 1 (0/0)

Indeterminate Form 2 (∞/∞)

Indeterminate Form 3 (0 x ∞)

Indeterminate Form 4 (∞ - ∞)

Indeterminate Form 5 (0^0)

Indeterminate Form 6 (∞^0)

Indeterminate Form 7 (1 ^ ∞)

Limit without L'Hopital's Rule

Intermediate Value Theorem

Implicit Differentiation & Tangent/Normal Lines

Logarithmic & Trigonometric & Inverse Differentiation

Sketching the Graph of a Function

Related Rates

Limit & Intermediate Value Theorem

Implicit Differentiation & Tangent/Normal Lines

Sketching the Graph of a Function

Logarithmic & Trigonometric Differentiation

Limit of Functions & Asymptotes

Intermediate Value Theorem

Implicit & Logarithmic Differentiation & Chain Rule

Related Rates

Intermediate and Mean Value Theorems

Tangent Line to a Function (Implicit Diff.)

Sketching the Graph of a Function

L'Hopital's Rule

Extremum Value Problems

Intermediate Value Theorem

Intermediate Value Theorem

Intermediate Value Theorem

The Intermediate Value Theorem (Unique Root)

The Intermediate Value Theorem (Unique Root)

The Intermediate Value Theorem (Unique Root)

Implicit Differentiation & Tangent Line

Implicit Differentiation & Tangent Line

Implicit Differentiation & Tangent Line

Implicit Differentiation & Tangent Line

Implicit Differentiation & Tangent Line

Implicit Differentiation & Equation of Normal Line

Curve Sketching

Curve Sketching

Ücretsiz

The Squeeze Theorem

Limit at Infinity

Limit without L'Hopitals (Mixed)

Ücretsiz

Limit without L'Hopitals (Mixed)

Differentiation Rules & Chain Rule

Chain Rule & Logarithmic & Implicit

The Chain Rule

The Chain Rule

The Chain Rule

The Chain Rule

Logarithmic Differentiation

Logarithmic Differentiation

Logarithmic Differentiation

Logarithmic Differentiation

Derivative of Inverse

Derivative of Inverse

Derivative of Inverse Trigonometric Functions

Derivative of Inverse Trigonometric Functions

Challenging: Implicit & Inverse Trigonometric Functions I

Challenging: Implicit & Inverse Trigonometric Functions II

Değerlendirmeler

4.9

19 öğrenci değerlendirmesi

Değerlendirme yapmak için bu derse sahip olman gerekiyor.

Doğan Alçı

Satın aldı

Endüstri Mühendisliği

4 gün önce

Azra Büyükyılmaz

Satın aldı

Endüstri Mühendisliği

5 gün önce

Ömer Yiğit Sarışen

Satın aldı

İnşaat Mühendisliği

5 gün önce

Nazlısu Akça

Satın aldı

Endüstri Mühendisliği

5 gün önce

Barkın Şimşeker

Satın aldı

Makine Mühendisliği

7 gün önce

Şaziye Zümra Tök

Satın aldı

Endüstri Mühendisliği

7 gün önce

Mehmet Ali Biçer

Satın aldı

Makine Mühendisliği

8 gün önce

Yiğit Yamaç Pekşen

Satın aldı

Elektrik-Elektronik Mühendisliği

10 gün önce

Zeynep İlayda Gündüz

Satın aldı

Endüstri Mühendisliği

13 gün önce

Emre Yağdıran

Satın aldı

İnşaat Mühendisliği

14 gün önce

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Calculus I

MATH 151 • Final

Calculus I

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MATH 151 • Midterm

Calculus I

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