MAT 104E • Midterm • Mathematics II
İTÜ biz geldik! Üniversitedeki en zor Matematik dersi olarak kabul edilen Math 104 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son yılların tüm çıkmış sınav sorularıyla antreman yapabileceksin.
Eğitmen
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.
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Konular
Sequences
5 konu anlatımı · 12 soru
Introduction to Sequences
Increasing, Decreasing and Bounded Sequences
Convergence and Limit of Sequences
Monotonic Sequence Theorem
Recursive Sequences
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Infinite Series
5 konu anlatımı · 9 soru
Series: Partial Sums
Geometric Series
Harmonic Series
Telescoping Series
Operations in Series
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Convergence Tests for Infinite Series
7 konu anlatımı · 4 soru
The Nth-Term Test
The Integral Test
P Test
The Ratio Test
The Root Test
Direct Comparison Test
The Limit Comparison Test
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Alternating Series, Absolute and Conditional Convergence
6 konu anlatımı · 4 soru
Introduction to Absolute Convergence
Absolute Convergence Theorem
Alternating Series Test I
Alternating Series Test II
Conditional Convergence
Absolute or Conditional or Divergent ??
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Power Series
6 konu anlatımı · 5 soru
What is a Power Series?
Radius and Interval of Convergence
Convergence on Endpoints
Term by Term Differentiation & Integration
Finding a Power Series Expansion
Power Series with Different Centers
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Taylor and Maclaurin Series
5 konu anlatımı · 12 soru
Taylor Series: Intuition
Taylor and Maclaurin Series
Taylor and Maclaurin Series 2
Finding a Taylor Series Expansion 1
Finding a Taylor Series Expansion 2
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Taylor Polynomials
2 konu anlatımı · 4 soru
Taylor Polynomial 1
Taylor Polynomial 2
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Parametric Equations
5 konu anlatımı
Parametric Equations 1
Parametric Equations 2
Parametric Equations 3
Calculus with Parametric Equations
Length of a Curve
Polar Coordinates (Areas & Lengths)
6 konu anlatımı
Polar Coordinates 1: Cartesian to Polar 1
Polar Coordinates 2: Cartesian to Polar 2
Polar Coordinates 3: Polar to Cartesian
Areas in Polar Coordinates
Area with Symmetry
Areas in Polar Coordinates 2
Part I: Vectors and the Geometry of Space
7 konu anlatımı
Distance Between Points 1
Cosine Theorem in 3D & Euclidean N-Space
Vectors: Arithmetic, Parallelism and Unit Vector
Angles between Vectors: Dot Product
Vector Projection
Cross Product of Vectors
Applications of Cross Product
Part II: Vectors and the Geometry of Space
6 konu anlatımı
Plane Equations
Line Equations 1
Line Equations 2
Intersection of Planes
Intersection of Planes and Lines
Distance of a Point to Lines & Planes
Vector Functions & Motion in Space
9 konu anlatımı
Vector Functions and Curves
Domain of a Vector Function
Limit of a Vector Function
Derivative of a Vector Function
Integral of a Vector Function
Position, Velocity, Acceleration
Position, Velocity, Acceleration 2
Arc Length
Tangent and Unit Tangent Vectors
Exam Practice
52 soru
Area in Polar Coordinates
Area in Polar Coordiantes
Polar Coordinates
Parametric Curves
Parametric Curves
Dot Product & Unit Vector
Angle between Vectors
Projection & Cross Product
Cross Product Applications 1
Cross Product Applications 2
Cross Product Applications 3
Cross Product Applications 4
Equation of a Plane 1
Equation of a Plane 2
Equation of a Plane 3
Paralellism & Perpendicularity of Planes
Equation of a Plane 4
Plane Equations
Plane Equations
Plane Equations
Coplanarity
Intersection of Planes 1
Intersection of Planes 2
Intersection of Lines 1
Planes and Lines 1
Planes and Lines 2
Plane and Lines 3
Planes and Lines 4
Plane and Lines 5
Planes and Lines 6
Angle between Planes
Angle between Lines
Distance of a Point to Lines & Planes I
Distance of a Point to Lines & Planes II
Distance of a Point to Lines & Planes III
Distance of a Point to Lines & Planes IV
Vector Valued Functions 1
Vector Valued Functions 2
Vector Valued Functions 3
Vector Valued Functions 4
Position Vectors 1: Velocity, Speed, Acceleration
Position Vectors 2: Velocity, Speed, Acceleration
Position Vectors 3: Velocity, Speed, Acceleration
Unit Tangent 1
Unit Tangent 2
Tangent Line to Vector Functions
Arc Length 1
Arc Length 2
Arc Length 3
Arc Length 4
Integral of Vector Valued Functions
Integral of Vector Valued Functions
Değerlendirmeler
13 öğrenci değerlendirmesi
Değerlendirme yapmak için bu derse sahip olman gerekiyor.
Bahar Azra Kolaç
Moleküler Biyoloji ve Genetik
Kağan Mert
Endüstri Mühendisliği
Ege Esmer
Endüstri Mühendisliği
Nehir Solum
Gıda Mühendisliği
Dila Diliçıkık
Gıda Mühendisliği
Melisa Yıldırım
Harita Mühendisliği
Selin Telek
Endüstri Mühendisliği
Bajikhanim Yasharli
Endüstri Mühendisliği
Yağmur Karatay
İşletme Mühendisliği
İzmir Arda Özalay
Ekonomi
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