MATH 102 • Tüm Sınavlar • Mathematics for Social Sciences II
Özyeğin biz geldik! Üniversitedeki en zor Matematik dersi olarak kabul edilen Math 102 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.
Bu dersimizde sunduğumuz içerikler sırasıyla: 1)Improper Integrals 2)Geometric Sequences and Series 3)Taylor Series(Power Series) 4)Taylor Polynomials 5)Domain of Multivariable Functions 6)Partial Differentiation Rules 7)Higher Order Partial Differentiation 8)Chain Rule for Multivariable Functions
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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.
Gürkan Hoca
Öğr. Üy.
Orta Doğu Tekn. Üni.'den derece ile mezun olduktan sonra yüksek lisans ve doktora çalışmalarımı da yurt dışında tamamladım. Ardından aynı üniversitede öğretim üyesi olarak görev yaptım. Üniversite öğrencisi olmanın ne demek olduğunu unutmayarak, dersleri öğrencilerimin gözünden anlatmanın ve onlara özel anlama yolları geliştirmenin önemini çok iyi biliyorum. Öğretmenin aslında bir "sanat" olduğunu biliyorum ve bu sanatı sizlere gösterebilmek için buradayım.
Konular
Math 101 Review: Integrals
4 konu anlatımı · 4 soru
Integration Rules 1
Integration Rules 2
Integration with Substitution 1
Integration with Substitution 2
Exam like Question 1-2
Exam like Question 3
Exam like Question 4-5
Exam like Question 6
Improper Integrals
3 konu anlatımı
Intuition of Improper Integrals
Convergence of Improper Integrals
P test for Improper Integrals
Sequences - Series
3 konu anlatımı · 5 soru
Introduction to Sequences
Infinite Series & Geometric Series
Partial Sum
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Taylor Series
2 konu anlatımı · 5 soru
Taylor Series 1
Taylor Series 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Taylor Polynomials
1 konu anlatımı
Taylor Polynomial
Functions of Several Variables
1 konu anlatımı · 2 soru
Functions of Several Variables
Exam like Question 1
Exam like Question 2
Partial Derivatives of Functions of Several Variables
1 konu anlatımı · 8 soru
Partial Derivative
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
Past Exam Problems
34 soru
Improper Integral & Substitution 1
Improper Integral & Substitution 2
Improper Integral & Substitution 3
Improper Integral & Substitution 4
Improper Integral & Substitution 5
Improper Integral & Substitution 6
Improper Integral & Substitution 7
Improper Integral & Substitution 8
Improper Integral & Substitution 9
Growth and Improper Integral 1
Growth and Improper Integral 2
Future Profit and Improper Integral 1
Future Profit and Improper Integral 2
Future Value and Improper Integral
Density function & Improper Integrals 1
Density function & Improper Integrals 2
Density function & Improper Integrals 3
Geometric Series 1
Geometric Series 2
Geometric Series 3
Geometric Series 4
Geometric Series 5
Geometric Series 6
Geometric Series 7
Geometric Series 8
Geometric Series 9
Taylor Polynomial 1
Taylor Polynomial 2
Taylor Polynomial 3
Taylor Polynomial 4
Taylor Polynomial 5
Taylor Polynomial 6
Taylor Polynomial 7
Taylor Polynomial 8
SPRING 2024 - FALL 2023 Exam Problems
5 soru
Fall 2023: Improper Integrals
Spring 2024: Improper Integrals
Fall 2023: Geometric Series
Spring 2024: Geometric Series
Spring 2024: Taylor Polynomial
FALL 2024 Exam Problems
7 soru
Improper Integrals
Geometric Series
Taylor Polynomial & Approximation
Taylor Series
Function with Several Variables
Function with Several Variables
Partial Derivatives
SPRING 2025 Exam Problems
5 soru
Improper Integrals
Geometric Sequences
Taylor Polynomials
Taylor Series Expansion
Partial Derivative
Partial Derivatives
2 konu anlatımı · 5 soru
Functions of Several Variables
Partial Derivative
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Applications of Partial Derivatives
4 konu anlatımı · 9 soru
Marginal Cost 1
Marginal Cost 2
Marginal Cost 3
Marginal Demand: Competitive, Complementary Products
Marginal Demand: Competitive, Complementary Products 2
Marginal Demand: Competitive, Complementary Products 3 (Fall 2023)
Marginal Demand
Marginal Productivity
Marginal Productivity 2
Marginal Productivity 3
Applications of Partial Derivatives 1
Applications of Partial Derivatives 2
Applications of Partial Derivatives 3
Higher-Order Partial Derivatives
3 konu anlatımı · 2 soru
Higher Order Derivative
Exam like Question 1
Exam like Question 2
Marginal Cost & Demand 1
Marginal Cost & Demand 2
Implicit Partial Differentiation
3 konu anlatımı · 2 soru
Implicit Differentiation I
Implicit Differentiation II
Implicit Higher Differentiation
Exam like Question 1
Exam like Question 2
Chain Rule
2 konu anlatımı · 5 soru
Chain Rule 1
Chain Rule 2
Exam like Question
Exam like Question
Exam like Question
Marginal Costs with Chain Rule 1
Marginal Costs with Chain Rule 2
Maxima and Minima for Functions of Two Variables
1 konu anlatımı · 7 soru
Maxima & Minima & Saddle Points
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Maxima and Minima on Economics 1
Maxima and Minima on Economics 2
Maxima and Minima on Economics 3
Lagrange Multipliers
2 konu anlatımı · 2 soru
Lagrange Multiplier
Lagrange Multiplier in Economics
Problem 1
Problem 2
Sample Exam Problems
7 soru
Maxima and Minima 1
Maxima and Minima 2
Maxima and Minima 3
Maxima and Minima 4
Lagrange Multiplier 1
Lagrange Multiplier 2
Lagrange Multiplier 3
(NEW) SPRING 2024 - FALL 2023 Exam Problems
10 soru
Spring 2024: Partial Derivative & Marginal Costs
Fall 2023: Higher Order Derivatives
Spring 2024: Higher Order Derivatives
Spring 2024: Chain Rule
Fall 2023: Chain Rule
Spring 2024: Implicit Differentiation
Fall 2023: Maxima, Minima and Saddle Points
Spring 2024: Maxima, Minima and Saddle Points
Fall 2023: Lagrange Multipliers
Spring 2024: Lagrange Multipliers
(NEW) FALL 2024 Exam Problems
7 soru
Partial Derivative
Marginal Cost with Several Variable Functions
Higher Order Partial Differentiation
Implicit Partial Differentiation
The Chain Rule
Maxima and Minima
Lagrange Multipliers
Multiple Integrals
1 konu anlatımı · 10 soru
Multiple Integrals
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Systems of Linear Equations
4 konu anlatımı · 5 soru
Augmented Matrix - Row Reduction 1
Augmented Matrix - Row Reduction 2
Existence and Uniqueness of Solution
Free Variables (Free Parameter)
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Matrix Operations
1 konu anlatımı · 9 soru
Fundamental Matrix Operations
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Inverse of a Matrix
2 konu anlatımı · 4 soru
Inverse of a Matrix 1
Inverse of a Matrix 2
Problem 1
Problem 2
Problem 3
Problem 4
Matrix Equations (AX = B Formu)
3 konu anlatımı · 2 soru
Product of a Matrix and a Vector
Matrix Equation
Solving AX = B with Inverse
Problem 1
Problem 2
Sample Final Problems
14 soru
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
(NEW) SPRING 2024 - FALL 2023 Exams
9 soru
Fall 2023: Maxima, Minima and Saddle Points
Spring 2024: Maxima, Minima and Saddle Points
Fall 2023: Lagrange Multipliers
Spring 2024: Lagrange Multipliers
Fall 2023: Multiple Integrals
Spring 2024: Multiple Integrals
Spring 2024: Row Reduction
Spring 2024: Matrix Operations
Spring 2024: Inverse of a Matrix
(NEW) FALL 2024 Exam Problems
6 soru
Maxima and Minima
Lagrange Multipliers
Multiple Integrals
Matrix Operations
Systems of Linear Equations
Matrix Inverse
Sample Make-Up Problems
8 soru
Matrix Operations
Matrix Operations
Non-Homogeneous Linear System
Inverse & Non-Homogeneous Linear System
Inverse & Non-Homogeneous Linear System
Homogeneous & Non-Homogeneous Linear System
Double Integral
Double Integral