MATH 1132 • Tüm Sınavlar • Calculus II
Üniversitedeki en zor Matematik dersi olarak kabul edilen Math 1132 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.
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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.
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Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Integration with Substitution
3 konu anlatımı · 10 soru
Integration with Substitution
Substitution with Logarithms & Exponentials I
Substitution with Logarithms & Exponentials II
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Trigonometric Integrals & Substitution
5 konu anlatımı · 11 soru
Trigonometric Integrals I
Trigonometric Integrals II
Trigonometric Integrals III
Trigonometric Integrals IV
Integral of sec(x) and csc(x)
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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 with Partial Fractions
2 konu anlatımı · 5 soru
Partial Fractions I
Partial Fractions II
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Inverse Trigonometric Substitution
2 konu anlatımı · 3 soru
Inverse Trigonometric Substitution I
Inverse Trigonometric Substitution II
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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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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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(NEW) Spring 2025 Midterm
4 soru
Integration Techniques
Improper Integrals
Infinite Series
Convergence of Series
(NEW) Spring 2024 Midterm
4 soru
Integration
Improper Integrals
Geometric Series & nth-Term Test
Comparison Test & Alternating Series
(NEW) Fall 2024 Midterm
4 soru
Integration
Improper Integrals
Geometric Series
nth-Term Test & Limit Comparison & Ratio Tests
General Exam Review
9 soru
Integration with Partial Fractions
Integration Techniques
Improper Integral
The Nth-Term Test
Ratio Test and Root Test
The N-th Term Test & Root Test
Nth-Term Test & Ratio Test
Limit Comparison Test & Root Test
Absolute & Conditional Convergence
Sınav Provası: Spring 2025 Exam
10 soru
Trigonometric Integrals
Trigonometric Integral
Trigonometric Integrals
Integration with Partial Fractions
Comparison Test for Improper Integrals
Improper Integrals
The N-th Term Test
Geometric Series
Root Test
Alternating Series Test
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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Multivariable Functions
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
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
Tangent Plane
4 konu anlatımı
Equation of a Tangent Plane 1
Equation of a Tangent Plane 2
Horizontal Tangent Plane
Normal Vector to a Multivariable Function
Extreme Values
1 konu anlatımı · 3 soru
Extreme Values
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Extreme Values on Closed Regions
2 konu anlatımı
Extreme Values on Closed Regions 1
Extreme Values on Closed Regions 2
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
Spring 2022 Final
4 soru
Power Series & Taylor Series
Double Integrals
Partial Differentiation & Limits of Multivariable Functions
Extreme Values on Closed Regions
Spring 2023 Final
5 soru
Power Series and Taylor Series
Limits of Multivariable Functions
Extremum Values
Double Integrals
Partial Differentiation
Spring 2024 Final
3 soru
Double Integral
Limit & Partial Derivatives
Extremum Values
Spring 2025 Final
7 soru
Power Series
Taylor-Maclaurin Series
Chain Rule
Implicit Differentiation
Limit of a Multivariable Function
Extremum Values
Double Integral
(NEW) Fall 2025 Final
4 soru
Power & Taylor Series
Partial Derivatives
Extremum Values
Double Integral
General Exam Review
47 soru
Radius and Interval of Convergence
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
Continuity
Continuity
Definition of Partial Derivative
Definition of Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Higher Order Differentiation
Higher Order Differentiation
The Chain Rule
Chain Rule
Chain Rule
Chain Rule
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
Lagrange Multipliers
Lagrange Multipliers
Lagrange Multipliers
Reversing the Order of Integration
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
Double Integral in Polar Coordinate
Sınav Provası: Spring 2025 Final
7 soru
Radius and Interval of Convergence
Maclaurin Series by Definition
The Chain Rule
Partial Derivative - Implicit
Limit of Multivariable Functions
Extreme Values on Closed Region
Double Integral: Reversing the Order