MATH 116 • Tüm Sınavlar • Calculus II
Üniversitedeki en zor Matematik dersi olarak kabul edilen Math 116 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son 10 yılın tüm çıkmış sınav sorularıyla antreman yapabileceksin.
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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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Parabolas, Ellipses and Hyperbolas
3 konu anlatımı · 6 soru
Parabolas
Ellipses
Hyperbolas
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Parametric Equations
5 konu anlatımı
Parametric Equations I
Parametric Equations II
Parametric Equations 3
Calculus with Parametric Equations
Length of a Curve
Polar Coordinates
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
Sequences
5 konu anlatımı · 11 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 · 8 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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Exam like Question 11-12-13
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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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Past Exam Problems (Fall 23 + Fall 24)
13 soru
Fall 2024 Exam: Parabolas
Fall 2023 Exam: Parabolas
Fall 2023 Exam: Ellipses
Fall 2024 Exam: Ellipses
Fall 2023 Exam: Parametric Curves
Parametric Curves
Spring 2021 Exam: Area in Polar Coordinates
Area in Polar Coordinates
Fall 2023 Exam: Limits of Sequences
Fall 2023 Exam: The N-th Term Test
Fall 2024 Exam: Geometric Series
Fall 2023 Exam: Geometric series
Fall 2023 Exam: Geometric Series
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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Analytic Geometry in 3D: Vectors
7 konu anlatımı
Distance Between Points
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
Planes and Lines Equations
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
Multivariable Functions and Surfaces
4 konu anlatımı
Domain of Multivariable Functions
Level Curves
Level Curves and Level Surfaces
Graphs of Surfaces
Limits and Continuity of Multivariable Functions
6 konu anlatımı
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
Multivariable Squeeze Theorem
Continuity of Multivariable Functions
Limits with Polar Coordinates
Exam Practice Part I
31 soru
Dot Product & Unit Vector
Angle between Vectors
Projection & Cross Product
Cross Product Applications
Cross Product Applications
Cross Product Applications
Cross Product Applications
Equation of a Plane
Equation of a Plane
Equation of a Plane and Cross Product Applications
Paralellism & Perpendicularity of Planes
Equation of a Plane
Equation of a Plane
Equation of a Plane
Equation of a Plane
Coplanarity
Intersection of Planes
Intersection of Planes
Intersection of Lines
Planes and Lines
Planes and Lines
Plane and Lines
Planes and Lines
Plane and Lines
Planes and Lines
Angle between Planes
Angle between Lines
Distance of a Point to Lines & Planes
Distance of a Point to Lines & Planes
Distance of a Point to Lines & Planes
Distance of a Point to Lines & Planes
Exam Practice Part II
20 soru
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Function
Limit of Multivariable Function
Limit of Multivariable Function
Limit of Multivariable Function
Limit of Multivariable Function
Limit of Multivariable Function
Continuity
Continuity
Past Exam Problems
3 soru
Spring 2019 Exam: Radius and Interval of Convergence
Fall 2023 Exam: Radius and Interval of Convergence
Fall 2024 Exam: Radius and Interval of Convergence
Spring 2025 Exam
4 soru
Power Series
Taylor Series
Vectors
Parametric Equations
Partial Differentiation
4 konu anlatımı
Limit Definition of Partial Derivative
Partial Differentiation Rules 1
Partial Differentiation Rules 2
Higher Order Partial Differentiation
Implicit Differentiation
4 konu anlatımı
Implicit Differentiation I
Implicit Differentiation II
Implicit Differentiation III
Implicit Higher Differentiation
The Chain Rule
3 konu anlatımı
Chain Rule 1
Chain Rule 2
Chain Rule 3
Gradient and Directional Derivatives
3 konu anlatımı
Gradient Vector
Directional Derivative
Gradient and Directional Derivative
Extreme Values
1 konu anlatımı · 3 soru
Extreme Values
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Lagrange Multipliers
4 konu anlatımı · 1 soru
Lagrange Multipliers I
Lagrange Multipliers II
Lagrange Multipliers Using Gradient
Optimization with Lagrange Multipliers 1
Optimization with Lagrange Multipliers 2
Double Integrals in Cartesian Coordinates
7 konu anlatımı · 2 soru
Introduction to Double Integrals
Sketching the Area of Integration I
Sketching the Area of Integration II
Reversing the Order of Integration I
Reversing the Order of Integration II
Reversing the Order of Integration III
Volume Calculation by Double Integrals
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Double Integrals in Polar Coordinates
5 konu anlatımı
Cartesian to Polar Coordinates
Double Integrals in Polar Coordinates I
Double Integrals in Polar Coordinates II
Double Integrals in Polar Coordinates III
Volume Calculation using Polar Coordinates
Triple Integrals
6 konu anlatımı
Introduction to Triple Integrals
Triple Integration over Regions
Graphs of Important Surfaces
Volume by Triple or Double Integrals
Volume between Two Surfaces
Triple Integrals: Reversing the Order
Triple Integrals in Cylindrical Coordinates
9 konu anlatımı
Cylindrical Coordinates 1
Cylindrical Coordinates 2
Change of Variable: Cartesian to Cylindrical
Triple Integral in Cylindrical Coordinates 1
Triple Integral in Cylindrical Coordinates 2
Triple Integral in Cylindrical Coordinates 3
Triple Integral in Cylindrical Coordinates 4
Triple Integral in Cylindrical Coordinates 5
Triple Integral in Cylindrical Coordinates 6
Sınav Provası: Spring 2025 Exam
6 soru
Extreme Values
Partial Differentiation
Directional Derivatives
Reversing the Order of Integration
Double Integral in Polar Coordinates
Average Value of a Function
General Exam Review
38 soru
Definition of Partial Derivative
Definition of Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Higher Order Differentiation
Higher Order Differentiation
Partial Derivative - Implicit
Partial Derivative - Implicit - Formula
Chain Rule
Chain Rule
Chain Rule
Tangent Plane
Tangent Plane
Tangent Plane and Normal Line
Tangent Plane Approximation
Gradient and Tangent Plane
Gradient and Tangent Plane
Gradient and Directional Derivative
Gradient and Directional Derivative
Gradient and Directional Derivative
Extreme Values
Extreme Values
Extreme Values
Extreme Values
Extreme Values on Closed Region
Extreme Values on Closed Region
Extreme Values on Closed Region
Lagrange Multipliers
Lagrange Multipliers
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate