MATH 113 • Midterm + Final • Calculus I
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.
Unicourse Garantisi
Bu dersi alma kararını senin için kolaylaştıralım. Eğer memnun kalmazsan 30 gün içinde bize ulaş, 3'ten fazla içerik tamamlamadıysan iade alabilirsin. Koşullar
Konular
Preliminaries: Equations and Inequalities
4 konu anlatımı · 6 soru
Equation Solving
Inequalities 1
Inequalities 2
Inequalities 3
Practice Problem
Practice Problem
Practice Problem
Practice Problem
Practice Problem
Practice Problem
Preliminaries: Lines and Parabolas
2 konu anlatımı
Line Equations
Quadratic Functions (or Parabolas)
Preliminaries: Trigonometric Functions (Periodic Functions)
3 konu anlatımı
Periodic Functions
Graph of Trigonometric Functions 1
Graph of Trigonometric Functions 2
Functions (Domain, Composite, Inverse, Exponential)
6 konu anlatımı
Domain of Functions
The Vertical Line Test (Function or not)
Even & Odd Functions
Combinations of Functions
The Horizontal Line Test
Inverse of Functions
Graph of Functions (Shifting & Scaling)
5 konu anlatımı
Graphing Operations
Functions Graphing 1
Functions Graphing 2
Functions Graphing 3
Functions Graphing 4
Exponential and Logarithmic Functions
10 konu anlatımı
Domain of Exponential Functions
Domain of Logarithmic Functions
Composite of Exponential & Logarithm
Inverse of Exponential & Logarithms
Exponential & Logarithmic Equations
Exponential Growth and Decay
Graph of Logarithmic Functions 1
Graph of Logarithmic Functions 2
Graph of Exponential Functions 1
Graph of Exponential Functions 2
Exam Practice (Exponential & Logarithms)
19 soru
Domain, Range and Inverse
Domain of Composite (Spring 2021)
Composite and Inverse
Exponential Function (Fall 2022)
Domain and Inverse
Inverse of Functions
Exponential and Logarithmic Functions
Logarithmic Equations (Fall 2022)
Logarithmic Equations (Fall 2017)
Logarithmic Equations (Spring 2016)
Exponential & Logarithmic Functions
Logarithmic Equations (Spring 2019)
Logarithmic Equations (Fall 2020)
Logarithmic Equations (Fall 2017)
Logarithmic Equations 4
Graph Transformations 8
Translations & Reflections
Exponential Growth (Fall 2020)
Exponential Growth (Spring 2016)
Limits of Functions
3 konu anlatımı · 3 soru
Limits of Functions 1
Limits of Functions 2
Limits Rules
Practice Problems 1-2-3
Practice Problems 4-5-6
Practice Problem 7-8-9
The Squeeze Theorem
2 konu anlatımı · 1 soru
The Squeeze Theorem 1
The Squeeze Theorem 2
Practice Problems 1-2-3
Exam Practice (Limit of Functions & Squeeze Thm)
28 soru
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Limit of Functions
Unknown f(x) with Limit 1
Unknown f(x) with Limit 2
Limit of Functions
Limit of Functions
Limit Rules
Limit of Piecewise Function
Limit of Piecewise Function
The Squeeze Theorem
The Squeeze Theorem
The Squeeze Theorem
The Squeeze Theorem
The Squeeze Theorem
The Squeeze Theorem
The Squeeze Theorem
The Squeeze Theorem
Limits at Infinity and Infinite Limits
4 konu anlatımı
Limits at Infinity I
Limits at Infinity II
Infinite Limits
Dominant Terms (Optional)
Asymptotes
2 konu anlatımı
Vertical and Horizontal Asymptotes
Oblique Asymptotes
Limits of Trigonometric Functions
2 konu anlatımı
Limit of Trigonometric Functions I
Limit of Trigonometric Functions II
Exam Practice (Limits at Infinity and Infinite Limits)
39 soru
Limits at Infinity
Limits at Infinity
Limits at Infinity
Limits at Infinity
Limits at Infinity
Limits at Infinity
Limits at Infinity
Limits at Infinity
Limit at Infinity
Limits at Infinity
Limit at Infinity
Limits at Infinity
Limits at Infinity
Limits at Infinity
Limits at Infinity
Limits at Infinity
Infinite Limits
Infinite Limits
Infinite Limits
Infinite Limits
Infinite Limits
Infinite Limits
Infinite Limits
Infinite Limits
Infinite Limits
Infinite Limits
Limit of Trigonometric Functions
Limit of Trigonometric Functions
Asymptotes
Asymptotes
Domain and Asymptotes
Asymptotes
Asymptotes
Asymptotes
Asmyptotes
Asymptotes
Asymptotes
Asymptotes
Asymptotes (zor)
Continuity and Discontinuity
2 konu anlatımı · 4 soru
Continuity
Discontinuity and Continuous Extension
Practice Problems 1-2
Practice Problem 3
Practice Problem 4
Practice Problems 5
Intermediate Value Theorem
2 konu anlatımı · 3 soru
Intermediate Value Theorem I
Intermediate Value Theorem II
Practice Problem 1
Practice Problem 2
Practice Problem 3
Exam Practice (Continuity-IVT)
39 soru
Continuity
Continuity
Continuity Extension
Discontinuity
Discontinuity
Continuity
Continuity
Continuity
Continuity
Continuity
Continuity
Squeeze Theorem & Continuity
Continuity and Squeeze Theorem
Continuous Extension
Continuous Extension
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Continuity
Continuity
Discontinuity
Discontinuity
Continuity and Discontinuity
Discontinuity
Discontinuity
Discontinuity & Asymptotes
Discontinuity & Asymptotes
Discontinuity & Asymptotes
The Limit Definition of Derivatives
4 konu anlatımı · 8 soru
Rate of Change: Derivative at a Point
Derivative as a Function 1
Derivative as a Function 2
"Hidden" Derivative
Exam like Question 1-2
Exam like Question 3-4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Differentiability (with Limit Definition)
1 konu anlatımı · 4 soru
Differentiability
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Differentiability (without using Limit Definition)
2 konu anlatımı · 2 soru
Differentiability (with Limit Definition)
Differentiability (without Limit Definition)
Exam like Question 1
Exam like Question 2
Differentiation Rules
5 konu anlatımı · 17 soru
Power Rule
Derivatives of Exponential & Logarithmic Functions
Product Rule
Quotient Rule
Derivatives of Trigonometric Functions
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
Exam like Question 13
Exam like Question 14
Exam like Question 16
Exam like Question 17
Exam like Question 18-19-20
The Chain Rule
2 konu anlatımı · 16 soru
Chain Rule 1
Chain Rule 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
Exam like Question 13
Exam like Question 14
Exam like Question 15
Exam like Question 16
Equation of a Tangent Line
4 konu anlatımı · 6 soru
Geometrical Definition of Derivative
Equation of a Tangent Line 1
Equation of a Tangent line 2
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Implicit Differentiation
3 konu anlatımı · 6 soru
Implicit Differentiation 1
Implicit Differentiation 2
Tangent Lines of Implicit Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Logarithmic Differentiation
1 konu anlatımı · 3 soru
Logarithmic Differentiation
Exam like Question 1
Exam like Question 2-3
Exam like Question 4
Derivative of Inverse Trig. Functions
2 konu anlatımı · 3 soru
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
Exam like Question 1-2
Exam like Questions 3-4
Exam like Question 5-6
Extreme Values
1 konu anlatımı · 3 soru
Absolute Extremums
Exam like Question 1
Exam like Question 2
Exam like Question 3
First Derivative Test & Concavity
2 konu anlatımı · 7 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
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
Asymptotes
2 konu anlatımı · 2 soru
Vertical and Horizontal Asymptotes
Oblique Asymptotes
Exam like Question 1
Exam like Question 2
Curve Sketching
4 konu anlatımı
Curve Sketching 1
Curve Sketching 2
Curve Sketching 3
Curve Sketching 4
Exam Practice (Extreme Values-Curve Sketching)
21 soru
Absolute Extrema: Closed Interval
Absolute Extrema: Closed Interval
Absolute Extrema: Closed Interval
First Derivative Test: Increasing & Decreasing Functions
First Derivative Test: Increasing & Decreasing Functions
First Derivative Test: Increasing & Decreasing Functions
First Derivative Test & Concavity
Concavity and Inflections
Concavity and Inflections
Asymptotes
Asymptotes
Asymptotes
Extreme Values
Curve Sketching
Curve Sketching
Curve Sketching
Curve Sketching
Curve Sketching
Curve Sketching
Curve Sketching
Curve Sketching
Linear Approximation (Linearization)
1 konu anlatımı · 3 soru
Linear Approximation
Exam like Question 1
Exam like Question 2
Exam like Question 3
The Mean Value Theorem
4 konu anlatımı
Mean Value Theorem 1
Mean Value Theorem 2
Mean Value Theorem 3
Mean Value Theorem 4
Indeterminate Forms and L’Hôpital’s Rule
6 konu anlatımı
Indeterminate Form 1 (0/0)
Indeterminate Form 2 (∞/∞)
Indeterminate Form 3 (0 x ∞)
Indeterminate Form 4 (∞ - ∞)
Indeterminate Form 5 - 6 (∞^0 and 0^0)
Indeterminate Form 7 (1 ^ ∞)
Related Rates
3 konu anlatımı · 4 soru
Related Rates I
Related Rates II
Related Rates III
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Optimization Problems
4 konu anlatımı
Optimization Problems I
Optimization Problems II
Optimization Problems III
Optimization Problems IV
Exam Practice (Optimization Problems)
26 soru
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problem
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization (Economy)
Optimization (Economy)
Optimization (Economy)
Optimization (Economy)
Anti-Derivative (or Integration or Basic Integration Rules)
5 konu anlatımı
Anti-Derivative I
Anti-Derivative II
Integral of Trigonometric Functions I
Integral of Trigonometric Functions II
Integral of Exponential Functions
Integration with Substitution
3 konu anlatımı
Integration with Substitution I
Integration with Substitution II
Integration with Substitution III
Trigonometric Integrals
3 konu anlatımı
Trigonometric Integrals 1
Trigonometric Integrals 2
Trigonometric Integrals 3
Properties of Integration
1 konu anlatımı · 5 soru
Properties of Integration
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Option 1- Area as a Limit sum - Riemann Sum
3 konu anlatımı
Riemann Sum 1
Riemann Sum 2
Riemann Sum 3
Option 2 - Area as A Limit Sum- Riemann Sum
5 konu anlatımı
Riemann Sum 1
Riemann Sum 2
Riemann Sum 3
Riemann Sum 4
Riemann Sum 5
Area between Curves
6 konu anlatımı
Area between Curves 1
Area vs Integral
Area Between Curves 2
Area Between Curves 3
Area Between Curves 4
Area Between Curves 5
Fundamental Theorem of Calculus
5 konu anlatımı · 1 soru
Fundamental Theorem of Calculus I
Fundamental Theorem of Calculus II
FTC with Area Perspective
FTC with Extreme Values
FTC and L'Hospital's Rule
Exam like Question 1-2-3
Integration by Parts
7 konu anlatımı
Integration By Part 1
Integration By Part 2
Integration By Part 3
Integration By Part 4
Integration By Part 5
Integration By Part 6
Integration By Part (Bonus)
Integration of Partial Fractions
2 konu anlatımı · 6 soru
Partial Fractions I
Partial Fractions II
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam-like Question 5
Exam like Question 6
Inverse Trigonometric Substitution
3 konu anlatımı
Trigonometric Susbtitution 1
Trigonometric Susbtitution 2
Trigonometric Susbtitution 3
Volume by Integration
5 konu anlatımı
Solids of Revolution-1
Solid of Revolution 2
Solid of Revolution 3
Solid of Revolution 4
Solid of Revolution 5
Improper Integrals
5 konu anlatımı
Intuition of Improper Integrals
Convergence of Improper Integrals
P test for Improper Integrals
Direct Comparison Test 1
Direct Comparison Test 2
Integral with Initial Conditions (yada Initial Value Problems yada Dif. Equations)
2 konu anlatımı · 14 soru
Initial Conditions (Initial Value Problem)
Initial Conditions (Initial Value Problem)
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Initial Value Problems
Arc Length Calculation
1 konu anlatımı · 2 soru
Arc Length Calculation
Exam like Question
Exam like Question 2
Average Value of a Function
1 konu anlatımı · 6 soru
Average Value of a Function
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Mean Value Th. for Integrals
1 konu anlatımı · 2 soru
MVT for Integrals
Exam like Question 1
Exam like Question 2
Past Exam Questions 3
45 soru
Extreme Values
Extreme Values
Extreme Values
Extreme Values on Closed Region 1
Extreme Values on Closed Region 2
Extreme Values on Closed Region 3
Vector Functions: Tangent Line
Vector Functions: Unit Tangent, Curvature, Length
Vector Functions: Curvature
Vector Functions: Unit Tangent & Curvature
Vector Functions: Unit Tangent & Curvature
Limit of Multivariable Functions 1
Limit of Multivariable Functions 2
Limit of Multivariable Functions 3
Limit of Multivariable Functions 4
Limit of Multivariable Functions 5
Limit of Multivariable Functions 6
Limit of Multivariable Functions 7
Continuity
Tangent Plane 1
Tangent Plane 2
Tangent Plane and Normal Line 1
Tangent Plane and Normal Line 2
Approximation 1
Approximation 2
Gradient & Tangent Plane
Directional Derivatives
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
The Chain Rule 1
The Chain Rule 2
The Chain Rule 3
The Chain Rule 4
The Chain Rule 5
The Chain Rule 6
The Chain Rule 7
The Chain Rule 8
The Chain Rule 9
Chain rule and Tangent Plane
Chain Rule & Approximation
Past Exam Questions 2
39 soru
Spring 2020 Exam: Cross Product Applications
Spring 2020 Exam: Cross Product Applications
Spring 2021 Exam: Cross Product & Dot Product
Spring 2019: Cross Product & Dot Product
Spring 2019: Vectors & Plane Equations
Spring 2023: Plane Equations
Spring 2020: Plane Equations
Spring 2020: Intersection of Planes
Spring 2021: Intersection of Planes
Spring 2022 Final Exam: Intersection of Planes
Spring 2020: Planes and Lines Equations
Fall 2020: Planes and Lines Equations
Spring 2020: Intersection of Planes and Lines
Spring 2019: Intersection of Planes and Lines
Spring 2021: Planes and Lines Equations
Spring 2022: Planes and Lines Equations
Spring 2023: Vector Functions & Length of a Curve
Spring 2019: Vector Functions & Length of a Curve
Spring 2019: Vector Functions & Tangent Line
Spring 2022: Unit Tangent, Curvature, Binormal
Spring 2016: Unit Tangent, Curvature, Binormal
Spring 2020: Curvature & Unit Tangent
Spring 2021: Vector Functions: Curvature
Spring 2021: Vector Functions: Torsion
Spring 2023: Limits of Multivariable Functions
Spring 2019: Limits of Multivariable Functions
Spring 2022 Final: Limits of Multivariable Functions
Spring 2020: The Chain Rule
Spring 2019: The Chain Rule
Spring 2023: The Chain Rule
Spring 2023: Gradient and Tangent Plane
Spring 2019: Gradient and Tangent Plane
Spring 2021: Gradient, Tangent Plane and Normal Lines
Spring 2022: Tangent Plane & Approximation
Spring 2020: Tangent Plane & Approximation
Spring 2023: Gradient and Directional Derivative
Spring 2022: Extreme Values
Spring 2023: Extreme Values on Restricted Region
Spring 2022: Lagrange Multipliers
Past Exam Questions 1
59 soru
Integration Rules
Integration Rules
Integration Rules
Integration Rules
Integration Rules
Integration Rules
Integration Rules
Integration Rules
Integration Rules
Substitution Method 1-2
Substitution Method 3-4-5
Substitution Method 6
Substitution Method 7-8
Substitution Method 9-10
Substitution Method 11-12
Substitution Method 13
Substitution Method 14
Substitution Method 15
Substitution Method 16
Substitution Method 17
Substitution Method 18
Substitution Method
Substitution Method
Substitution Method
Substitution Method
Substitution Method
Substitution Method
Trigonometric Integrals
Trigonometric Integrals
Trigonometric Integrals
Trigonometric Integrals
Trigonometric Integrals
Trigonometric Integrals
Trigonometric Integrals
Trigonometric Integrals
Trigonometric Integrals
Properties of Integration
Properties of Integration
Properties of Integration
Properties of Integration
Properties of Integration
Properties of Integration
Properties of Integration
Properties of Integration
Properties of Integration
Properties of Integration
Properties of Integration
Properties of Integrals
Substitution & Properties
Substitution & Properties
Substitution Method
Parçalı Integral
Parçalı Integral
Parçalı Integral
Parçalı Integral
Parçalı Integral
Integration with Absolute Value
Integration with Absolute Value
Integration with Absolute Value
Past Exam Questions 4
35 soru
Space Curves & Vector Functions 1
Space Curves & Vector Functions 2
Fall 2022: Space Curves & Vector Functions
Space Curves & Vector Functions 4
Space Curves & Vector Functions 5
Space Curves & Vector Functions 6
Spring 2023: Space Curves & Vector Functions
Space Curves & Vector Functions 8
Space Curves & Vector Functions 9
Spring 2024: Spaces Curves and Vector Functions
Limit of Multivariable Functions 1
Limit of Multivariable Functions 2
Limit of Multivariable Functions 3
Limit of Multivariable Functions 4
Limit of Multivariable Functions 5
Limit of Multivariable Functions 6
Partial Derivative 1
Partial Derivative 2
Partial Derivative 3
Partial Derivative 4
Partial Derivative 5
Partial Derivative 6
Partial Derivative 7
Spring 2024: Partial Derivatives
Higher Order Differentiation 1
Higher Order Differentiation 2
Higher Order Differentiation 2
Higher Order Differentiation 3
Spring 2023: Higher Order Derivatives
Fall 2022: Higher Order Derivatives
Chain Rule 1
Chain Rule 2
Chain Rule 3
Chain Rule 4
Chain Rule 5 (Challenging)