MATH 112MidtermMATHEMATICS I

Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen Math 157 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son yılların çıkmış sınav sorularıyla antreman yapabileceksin.

Bu dersimizde sunduğumuz içerikler: 1. Functions and Their Graphs 2. Combining Functions; Shifting and Scaling Graphs 3. Trigonometric Functions 4. Exponential Functions 5. Inverse Functions and Logarithms 6. Rates of Change and Tangents to Curves 7. Limit of a Function and Limit Laws 8. The Precise Definition of a Limit 9. Continuity 10. Limits Involving Infinity; Asymptotes of Graphs 11. Tangents and the Derivative at a Point 12. The Derivative as a Function 13. Differentiation Rules

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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

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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

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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

Domain of Functions

Domain of Exponential & Logarithms

Even and Odd Functions

The Vertical & Horizontal Line Tests

Composite Functions

Inverse of Functions

Inverse of Exponential & Logarithms

Graph of Functions (Shifting & Scaling)

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Graph of Functions I

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Graph of Functions II

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Graph of Functions III

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Graph of Exponential Functions

Graph of Logarithmic Functions

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Limits of Functions

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Limits with Absolute Value

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Limits Rules

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The Squeeze (Sandwich) Theorem

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Limits at Infinity I

Limits at Infinity II

Limits at Infinity III

Infinite Limits

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Vertical and Horizontal Asymptotes

Oblique Asymptotes

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Limit of Trigonometric Functions I

Limit of Trigonometric Functions II

Limit of Trigonometric Functions III

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Continuity

Discontinuity and Continuous Extension

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Intermediate Value Theorem I

Intermediate Value Theorem II

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Rate of Change: Derivative at a Point

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Derivative as a Function I

Derivative as a Function II

"Hidden" Derivative

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Differentiability (with Limit Definition)

Differentiability (without using Limit Definition)

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Power Rule

Derivatives of Exponentials

Product Rule

Quotient Rule

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Higher Order Derivative

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Derivatives of Trigonometric Functions

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Chain Rule I

Chain Rule II

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Equation of a Tangent Line I

Equation of a Tangent Line II

Horizontal and Vertical Tangent

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Challenging: Tangent Line Passes through a Point

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Implicit Differentiation I

Implicit Differentiation II

Tangent Lines & Implicit Functions

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Derivative of Inverse

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Logarithmic Differentiation I

Logarithmic Differentiation II

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Inverse Trigonometric Functions

Derivatives of Inverse Trigonometric Functions

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Implicit & Inverse Trigonometric Functions I

Implicit & Inverse Trigonometric Functions II

Implicit & Inverse Trigonometric Functions III

Hyperbolic Functions

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Related Rates I

Related Rates II

Related Rates III

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Linear Approximation

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Mean Value Theorem I

Mean Value Theorem II

Mean Value Theorem III

Mean Value Theorem IV

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Critical Points, Absolute Maximum & Minimum

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First Derivative Test & Extremum Values

Second Derivative & Concavity

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Curve Sketching I

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Curve Sketching III

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MATHEMATICS I

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