MATH 158 • Tüm Sınavlar • Calculus For Engineering II
Çankaya biz geldik! Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen Math 158 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. Sequences 2. Infinite Series 3. Convergence Tests for Positive Series 4. Absolute and Conditional Convergence 5. Power Series 6. Taylor and Maclaurin Series 7. Applications of Taylor and Maclaurin Series 8. Vectors 9. The Cross Product in 3-Space 10. Planes and Lines 11. Polar Coordinates
Ayda 999 TL, peşin fiyatına 3 taksit
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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
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
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Infinite Series
5 konu anlatımı · 9 soru
Series: Partial Sums
Geometric Series
Harmonic Series
Telescoping Series
Operations in Series
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
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
Exam like Question 1-2-3-4-5
Exam like Question 6-7-8-9-10
Exam like Question 11-12-13
Exam like Question 14-15-16
Alternating Series, Absolute and Conditional Convergence
6 konu anlatımı · 3 soru
Introduction to Absolute Convergence
Absolute Convergence Theorem
Alternating Series Test I
Alternating Series Test II
Conditional Convergence
Absolute or Conditional or Divergent ??
Exam like Question 1
Exam like Question 2
Exam like Question 3
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
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
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
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Applications of Taylor Series
2 konu anlatımı · 6 soru
Applications of Taylor Series 1
Applications of Taylor Series 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
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
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
(NEW) Spring 2024 Exam
6 soru
Convergence of Sequences
Convergence of Series
Geometric Series
Maclaurin Series
Maclaurin Series
Radius and Interval of Convergence
General Exam Review
31 soru
Sequences & Convergence
Sequences & Convergence
Sequences & Convergence
Limit of a Sequence
Limit of a Sequence
Geometric Series
Telescoping Series
Theory Problem: Convergence of Series
Theory Problem: Convergence of Series
Nth Term Test
The N-th term Test
The Limit Comparison Test
Limit Comparison Test - p-Test
The Ratio Test
The Root Test
Root Test
Absolute and Conditional Convergence
Radius & Interval of Convergence
Radius & Interval of Convergence
Power Series and Convergence
Maclaurin Series
Maclaurin Series
Plane Equations
Vectors
Vectors and Dot Product
Angle between Vectors
Lines & Planes
Equation of a Plane
Equation of a Plane
Planes and Lines
Distance of a Point to Lines & Planes
Multivariable Functions
3 konu anlatımı
Domain of Multivariable Functions
Level Curves
Graphs of Surfaces
Limits and Continuity of Multivariable Functions
5 konu anlatımı
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
Multivariable Squeeze Theorem
Continuity of Multivariable Functions
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
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
Linear (Tangent Plane) Approximation
1 konu anlatımı
Tangent Plane Approximation
Extreme Values Part I
1 konu anlatımı · 3 soru
Extreme Values
Exam like Question 1
Exam like Question 2
Exam like Question 3
Extreme Values Part II
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
8 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
Double Integrals and Area Calculation
Exam like Question 1
Exam like Question 2
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
5 konu anlatımı
Introduction to Triple Integrals
Triple Integration over Regions
Graphs of Important Surfaces
Volume by Triple or Double Integrals
Volume between Two Surfaces
Sınav Provası: Spring 2024 Final Exam
9 soru
Limits of Multivariable Functions
Continuity of Multivariable Functions
Gradient & Rate of Change
Chain Rule
Extreme Values
Extreme Values
Double Integral
Double Integral
Vectors & Lines & Planes
Exam Practice Part I
18 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 Function
Limit of Multivariable Function
Limit of Multivariable Function
Limit of Multivariable Function
Limit of Multivariable Function
Continuity
Continuity
Exam Practice Part II
30 soru
Definition of Partial Derivative
Definition of Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Higher Order Differentiation
Higher Order Differentiation
Higher Order Differentiation
Partial Derivative - Implicit
Partial Derivative - Implicit - Formula
Chain Rule
Chain Rule
Chain Rule
Chain Rule
Chain Rule and Tangent Plane
Tangent Plane
Tangent Plane
Tangent Plane
Tangent Plane and Normal Line
Tangent Plane and Normal Line
Tangent Plane Approximation
Tangent Plane Approximation
Gradient and Tangent Plane
Gradient and Tangent Plane
Gradient and Directional Derivative
Gradient and Directional Derivative
Gradient and Directional Derivative
Gradient and Directional Derivative
Exam Practice Part III
19 soru
Extreme Values
Extreme Values
Extreme Values
Extreme Values
Extreme Values
Extreme Values
Extreme Values on Closed Region
Extreme Values on Closed Region
Extreme Values on Closed Region
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
Lagrange Multipliers
Lagrange Multipliers
Exam Practice Part IV
11 soru
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
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate