FENS 101 • Tüm Sınavlar • Engineering Mathematics I
KHAS biz geldik! Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen FENS 101 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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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.
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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Functions (Domain-Composite-Inverse)
7 konu anlatımı
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)
6 konu anlatımı · 9 soru
Graph of Functions (Shifting & Scaling)
Graph of Functions I
Graph of Functions II
Graph of Functions III
Graph of Exponential Functions
Graph of Logarithmic Functions
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Limits of Functions
3 konu anlatımı · 10 soru
Limits of Functions
Limits with Absolute Value
Limits Rules
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The Squeeze (Sandwich) Theorem
1 konu anlatımı · 5 soru
The Squeeze (Sandwich) Theorem
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Limits at Infinity and Infinite Limits
4 konu anlatımı · 9 soru
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Infinite Limits
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Asymptotes
2 konu anlatımı · 4 soru
Vertical and Horizontal Asymptotes
Oblique Asymptotes
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Limits of Trigonometric Functions
3 konu anlatımı · 8 soru
Limit of Trigonometric Functions I
Limit of Trigonometric Functions II
Limit of Trigonometric Functions III
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Continuity and Discontinuity
2 konu anlatımı · 10 soru
Continuity
Discontinuity and Continuous Extension
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Intermediate Value Theorem
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Intermediate Value Theorem I
Intermediate Value Theorem II
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The Limit Definition of Derivatives
4 konu anlatımı · 8 soru
Rate of Change: Derivative at a Point
Derivative as a Function I
Derivative as a Function II
"Hidden" Derivative
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Differentiability
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Differentiability (with Limit Definition)
Differentiability (without using Limit Definition)
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Differentiation Rules (Product, Quotient, Exponential)
4 konu anlatımı · 12 soru
Power Rule
Derivatives of Exponentials
Product Rule
Quotient Rule
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Higher Order Differentiation
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Higher Order Derivative
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Derivative of Trigonometric Functions
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Derivatives of Trigonometric Functions
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The Chain Rule
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Chain Rule I
Chain Rule II
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Tangent Line Equations
4 konu anlatımı · 13 soru
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
3 konu anlatımı · 9 soru
Implicit Differentiation I
Implicit Differentiation II
Tangent Lines & Implicit Functions
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Derivative of Inverse Function
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Derivative of Inverse
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Logarithmic Differentiation
2 konu anlatımı · 7 soru
Logarithmic Differentiation I
Logarithmic Differentiation II
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Linear Approximation (Linearization)
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Linear Approximation
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Related Rates
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Related Rates I
Related Rates II
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Extreme Values and Critical Points
1 konu anlatımı · 4 soru
Critical Points, Absolute Maximum & Minimum
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Concavity and Inflections
2 konu anlatımı · 6 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
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Curve Sketching
3 konu anlatımı · 3 soru
Curve Sketching I
Curve Sketching II
Curve Sketching III
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(New) General Exam Review
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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 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
Increasing & Decreasing & Relative Extrema
Increasing & Decreasing & Relative Extrema
Absolute Extrema on a Closed Interval
Absolute Extrema On a Closed Interval
Extreme Values & Inflection Point
Concavity & Inflection Point
Curve Sketching
Curve Sketching
Indeterminate Forms (L'Hopital's Rule)
7 konu anlatımı
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 ^ ∞)
Optimization (Extreme Value) Problems
4 konu anlatımı · 13 soru
Optimization Problems I
Optimization Problems II
Optimization Problems III
Optimization Problems IV
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Challenging Problem
Derivative of Inverse Trigonometric Functions
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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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Hyperbolic Functions
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Antiderivative & Integration Rules
5 konu anlatımı · 5 soru
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
7 konu anlatımı · 9 soru
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 and Properties of Integration
2 konu anlatımı · 7 soru
Definite Integrals & Properties I
Definite Integrals & Properties II
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Fundamental Theorem of Calculus
3 konu anlatımı · 9 soru
Fundamental Theorem of Calculus I
Fundamental Theorem of Calculus II
FTC and L'Hospital's Rule
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Integration by Parts
6 konu anlatımı · 8 soru
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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Integration by Partial Fractions
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Partial Fractions I
Partial Fractions II
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Area Between Curves
5 konu anlatımı · 8 soru
Area and Integral
Area between Curves I
Area between Curves II
Area between Curves III
Area between Curves IV
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Numerical Integration
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Trapezoidal Method
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Simpson’s Method
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Improper Integrals
5 konu anlatımı · 9 soru
Intuition of Improper Integrals
Convergence of Improper Integrals
P test for Improper Integrals
Direct Comparison Test 1
Direct Comparison Test 2
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Volume by Integration
5 konu anlatımı · 4 soru
Solids of Revolution-1
Solid of Revolution 2
Solid of Revolution 3
Solid of Revolution 4
Solid of Revolution 5
Volume: Solid of Revolution
Volume by Integration
Volume by Integration
Volume by Integration
Arc Length Calculation
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Arc Length Calculation
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(NEW) General Exam Review
36 soru
Optimization Problem
L'Hopital's Rule
L'Hopital's Rule
L'Hôpital's Rule
L'Hopital's Rule
Integration by Substitution
Integration by Substitution
Integration Rules (By Part, Fractions, Substitution)
Integration Rules (By Part, Fractions, Substitution)
Integration by Part
Integration by Part
Integration by Part
Integration by Part
Partial Fractions
Partial Fractions
Partial Fractions
Partial Fractions
Partial Fractions & Substitution
Partial Fractions & Integration by Part
Inverse Trigonometric Substitution
Inverse Trigonometric Substitution & Improper
Inverse Trigonometric Substitution
Inverse Trigonometric Substitution
Improper Integral
Improper Integrals
Improper Integral
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
Area between Curves
Integrals (using areas of known functions)