MATH 101FinalCalculus I

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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.

Kerem Başol

Kerem Başol

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.

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Konular

Ders Tanıtımı

Critical Points, Absolute Maximum & Minimum

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First Derivative Test & Extremum Values

Second Derivative & Concavity

Ücretsiz

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Curve Sketching I

Curve Sketching II

Curve Sketching III

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Optimization Problems I

Optimization Problems II

Optimization Problems III

Optimization Problems IV

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Challenging Problem

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 ^ ∞)

Integration Rules I

Integration Rules II

Integral of Trigonometric Functions I

Integral of Trigonometric Functions II

Integral of Exponential Functions

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Integration with Substitution

Substitution with Logarithms & Exponentials I

Substitution with Logarithms & Exponentials II

Substitution with Trigonometric Functions 1

Substitution with Trigonometric Functions 2

Substitution with Trigonometric Functions 3

Substitution with Trigonometric Functions 4

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Definite Integrals & Properties I

Definite Integrals & Properties II

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Fundamental Theorem of Calculus I

Fundamental Theorem of Calculus II

FTC and L'Hospital's Rule

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Ücretsiz

Exam like Question 9

Riemann Sum

Ücretsiz

Lower and Upper Riemann Sum

Ücretsiz

From Riemann Sum to Integral 1

From Riemann Sum to Integral 2

Area and Integral

Area between Curves I

Area between Curves II

Area between Curves III

Area between Curves IV

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Integration by Part I

Integration by Part II

Integration by Part III

Integration by Part IV

Integration By Part V

Faster Method for Integration by Part

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Partial Fractions I

Partial Fractions II

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Inverse Trigonometric Substitution I

Inverse Trigonometric Substitution II

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Solids of Revolution-1

Ücretsiz

Solid of Revolution 2

Solid of Revolution 3

Solid of Revolution 4

Solid of Revolution 5

Intuition of Improper Integrals

Convergence of Improper Integrals

Ücretsiz

P test for Improper Integrals

Direct Comparison Test 1

Direct Comparison Test 2

Exam like Question 1

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Ücretsiz

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Ücretsiz

Exam like Question 8

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L'Hopital's Rule and FTC

Extreme Values

Curve Sketching: Part I

Curve Sketching: Part II

Riemann Sum

Area of a Region

Integration with Substitution

Inverse Trigonometric Substitution

Integration by Parts

Integration by Partial Fractions

Volume by Integration

FTC and L'Hospital's Rule

Absolute Extrema: Closed Interval

Curve Sketching

Riemann Sum

Area Between Curves

Integration with Substitution

Inverse Trigonometric Substitution

Integration by Part

Integration with Partial Fractions

Improper Integral

Volume by Integration

Increasing & Decreasing & Relative Extrema

Absolute Extrema on a Closed Interval

Concavity & Inflection Point

Curve Sketching

Curve Sketching

Optimization Problem

L'Hopital's Rule

L'Hopital's Rule

L'Hôpital's Rule

Riemann Sum

Integration by Substitution

Integration by Substitution

Integration Rules (By Part, Fractions, Substitution)

Integration Rules (By Part, Fractions, Substitution)

Integration by Part

Integration by Part

Partial Fractions

Partial Fractions

Partial Fractions

Partial Fractions & Substitution

Partial Fractions & Integration by Part

Inverse Trigonometric Substitution

Ücretsiz

Inverse Trigonometric Substitution

Improper Integral

Ücretsiz

Improper Integrals

Improper Integral

Improper Integrals

FTC and L'Hopital's Rule

Area between Curves

Area between Curves

Area between Curves

Area between Curves

Area between Curves

Integrals (using areas of known functions)

Ücretsiz

Volume by Integration

Ücretsiz

Volume by Integration

Volume by Integration

Değerlendirmeler

5

2 öğrenci değerlendirmesi

Değerlendirme yapmak için bu derse sahip olman gerekiyor.

Fatıma Emirhan

Elektronik Mühendisliği

4 ay önce

Alara Yalın

Moleküler Biyoloji ve Genetik

5 ay önce

Paketi Tamamla

🎓 Gebze Teknik Üniversitesi öğrencilerinin %92'si tüm paketi alarak çalışıyor.

Calculus I

MATH 101 • Midterm

Calculus I

4.9(6)
999 TL1199 TL%17
Calculus I

MATH 101 • Final

Calculus I

5.0(2)
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1199 TL