MAT 123Tüm SınavlarEngineering Mathematics I

THK biz geldik! Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen Math 123 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.

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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.

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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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

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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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

Logarithmic Differentiation I

Logarithmic Differentiation II

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Linear Approximation

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Critical Points, Absolute Maximum & Minimum

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Limits with Absolute Value

Limit of Functions

Limit of Functions

Limits of Trigonometric Functions

Limits of Trigonometric Functions

Limit of Functions

Limit at Infinity

Limit at Infinity

Limit at Infinity

Intermediate Value Theorem

Continuity

Continuity

Continuity

Continuity and Differentiability

Continuity and Differentiability

Differentiation Rules

The Chain Rule

The Chain Rule

The Chain Rule

Derivative of Inverse Function

Derivative of Inverse Function

Tangent Line and Implicit Differentiation

Tangent Line and Implicit Differentiation

Linearization

Logarithmic Differentiation

Logarithmic Differentiation

Absolute Extrema on a Closed Interval

Mean Value Theorem I

Mean Value Theorem II

Mean Value Theorem III

Mean Value Theorem IV

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Related Rates I

Related Rates II

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First Derivative Test & Extremum Values

Second Derivative & Concavity

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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

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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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Area and Integral

Area between Curves I

Area between Curves II

Area between Curves III

Area between Curves IV

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Inverse Trigonometric Substitution I

Inverse Trigonometric Substitution II

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Intuition of Improper Integrals

Convergence of Improper Integrals

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P test for Improper Integrals

Direct Comparison Test 1

Direct Comparison Test 2

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Solids of Revolution-1

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Solid of Revolution 2

Solid of Revolution 3

Solid of Revolution 4

Solid of Revolution 5

Limits of Functions

Integration Techniques

Area Between Curves & Volume by Integration

Improper Integrals

Study of a Function

Related Rates

Increasing & Decreasing & Relative Extrema

Absolute Extrema on a Closed Interval

Curve Sketching

Optimization Problem

L'Hopital's Rule

L'Hopital's Rule

L'Hôpital's Rule

L'Hopital's Rule

Integration by Substitution

Integration Rules (By Part, Fractions, Substitution)

Integration Rules (By Part, Fractions, Substitution)

Integration by Part

Integration by Part

Integration by Part

Partial Fractions

Partial Fractions

Partial Fractions & Integration by Part

Inverse Trigonometric Substitution & Improper

Inverse Trigonometric Substitution

Inverse Trigonometric Substitution

Improper Integral

Improper Integrals

FTC and L'Hopital's Rule

FTC and L'Hospital's Rule

Area between Curves

Area between Curves

Area between Curves

Area between Curves

Integrals (using areas of known functions)

Volume by Integration

Volume by Integration

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

FTC and L'Hospital's Rule

Integration by Part

Integration by Substitution

Integration with Partial Fractions

Area & Volume by Integration

Improper Integral

Improper Integral

Curve Sketching

MAT 123 Tüm Sınavlar Hakkında Sıkça Sorulan Sorular

Sıkça Sorulan Sorular

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