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calculus mat2 arşivi

Last updated on Eylül 4, 2023


Sınav Arşivleri – Exam Archives
First Midterm (1999-2006)
Second Midterm (1999-2006)
Final (1999-2006)

İstanbul Teknik Üniversitesi Sınav Örnekleri ve Çalışma Soruları
Çalışma Soruları-1
Çalışma Soruları-2
Çalışma Soruları-3
Çalışma Soruları-4
Çalışma Soruları-5
Çalışma Soruları-6
Arasınav ve Çözümleri
Final Sınavı ve Çözümleri

Bilgi Üniversitesi Math 170 Çalışma Soruları
Math 170 Worksheet-1
Math 170 Worksheet-2
Math 170 Worksheet-3
Math 170 Worksheet-4
Math 170 Worksheet-5
Math 170 Worksheet-6

Yardımcı Calculus Dökümanları
Diziler ve Seiler Konu Anlatımı
Polar Coordinates and Cardioid Sketching
Three Dimensional Space
Partial Derivatives
Applications of Partial Derivatives
Multiple Integrals
Line Integrals
Surface Integrals
Course Index
Partial Derivatives
Second Order Partial Derivatives
Equation of the Tangent Plane in Two Variables
Normal Line to the Surface
Linear Approximation in Two Variables
Linearization of a Multivariable Function
Differential of the Multivariable Function
Chain Rule for Partial Derivatives of Multivariable Functions
Chain Rule and Tree Diagrams of Multivariable Functions
Implicit Differentiation for Partial Derivatives of Multivariable Functions
Directional Derivatives
Gradient Vectors
Gradient Vectors and the Tangent Plane
Gradient Vectors and Maximum Rate of Change
Second Derivative Test: Two Variables
Local Extrema and Saddle Points of a Multivariable Function
Global Extrema in Two Variables
Extreme Value Theorem and Extrema in the Set D
Max Product of Three Real Numbers
Max Volume of a Rectangular Box Inscribed in a Sphere
Points on the Cone Closest to a Point
Lagrange Multipliers (Part I)
Lagrange Multipliers (Part II)
Lagrange Multipliers in Three Dimensions with Two Constraints
Midpoint Rule to Approximate Volume of a Double Integral
Riemann Sums to Approximate Volume of a Double Integral
Average Value of a Double Integral
Iterated Integrals
Double Integrals
Double Integrals of Type I and Type II Regions
Double Integrals to Find the Volume of the Solid
Double Integrals to Find Surface Area
Converting Iterated Integrals to Polar Coordinates
Converting Double Integrals to Polar Coordinates
Sketching the Region Given by a Double Polar Integral
Double Polar Integral to Find Area
Double Polar Integral to Find the Volume of the Solid
Double Integrals to Find Mass and Center of Mass of the Lamina
Midpoint Rule for Triple Integrals
Average Value of the Triple Integral
Triple Iterated Integrals
Triple Integrals
Triple Integrals to Find Volume of the Solid
Expressing a Triple Iterated Integral Six Ways
Mass and Center of Mass with Triple Integrals
Moments of Inertia with Triple Integrals
Cylindrical Coordinates
Converting Triple Integrals to Cylindrical Coordinates
Volume in Cylindrical Coordinates
Spherical Coordinates
Triple Integral in Spherical Coordinates to Find Volume
Jacobian of the Transformation (2×2)
Jacobian of the Transformation (3×3)
Plotting Points in Three Dimensions
Distance Formula for Three Variables
Equation of a Sphere, Plus Center and Radius
Describing a Region in 3D Space
Using Inequalities to Describe a Region in 3D Space
Finding a Vector From Two Points
Vector Addition and Combinations of Vectors
Sum of Two Vectors
Copying Vectors to Find Combinations of Vectors
Unit Vector in the Direction of the Given Vector
Angle Between a Vector and the x-axis
Magnitude and Angle of the Resultant Force
Dot Product of Two Vectors
Angle Between Two Vectors
Orthogonal, Parallel or Neither (Vectors)
Acute Angle Between the Lines (Vectors)
Acute Angles Between the Curves (Vectors)
Direction Cosines and Direction Angles (Vectors)
Scalar Equation of a Line
Scalar Equation of a Plane
Scalar and Vector Projections
Cross Product
Vector Orthogonal to the Plane
Volume of the Parallelepiped Determined by Vectors
Volume of the Parallelepiped with Adjacent Edges
Scalar Triple Product to Verify the Vectors are Coplanar
Vector and Parametric Equations of the Line
Parametric and Symmetric Equations of the Line
Symmetric Equations of a Line
Parallel, Intersecting, Skew and Perpendicular Lines
Equation of the Plane Using Vectors
Point of Intersection of a Line and a Plane
Parallel, Perpendicular, and Angle Between Planes
Parametric Equations for the Line of Intersection of Two Planes
Symmetric Equations for the Line of Intersection of Two Planes
Distance Between a Point and a Line (Vectors)
Distance Between a Point and a Plane (Vectors)
Distance Between Parallel Planes (Vectors)
Sketching the Quadric Surface
Reducing a Quadric Surface Equation to Standard Form
Domain of the Vector Function
Limit of the Vector Function
Sketching the Vector Equation
Projections of the Curve Onto the Coordinate Axes
Vector and Parametric Equations of the Line Segment
Vector Function for the Curve of Intersection of Two Surfaces
Derivative of the Vector Function
Unit Tangent Vector
Parametric Equations of the Tangent Line (Vectors)
Integral of the Vector Function
Green’s Theorem: One Region
Green’s Theorem: Two Regions
Linear Differential Equations
Circuits and Linear Differential Equations
Linear Differential Equation Initial Value Problem
Differential Equations
Change of Variable to Solve a Differential Equations
Separable Differential Equations Initial Value Problem
Mixing Problems with Separable Differential Equations
Euler’s Method (Part I)
Euler’s Method (Part II)
Euler’s Method (Part III)
Sketching Direction Fields
Population Growth
Logistic Growth Model of a Population
Predator-Prey Systems
Second-Order Differential Equations
Equal Real Roots of Second-Order Homogeneous Differential Equations
Complex Conjugate Roots of Second-Order Homogeneous Differential Equations
Second-Order Differential Equations: Initial Value Problems (Example 1)
Boundary Value Problem, Second-Order Homogeneous Differential Equation, and Distinct Real Roots
Boundary Value Problem, Second-Order Homogeneous Differential Equation, and Complex Conjugate Roots
Second-Order Differential Equations: Working Backwards
Second-Order Non-Homogeneous Differential
Variation of Parameters for Differential Equations
Second-Order Non-Homogeneous Differential Equations: Initial Value Problem
Laplace Transforms Using the Definition
Laplace Transforms Using a Table
Initial Value Problems with Laplace Transforms
Laplace Transforms and Integration by Parts with Three Functions
Inverse Laplace Transform
Convolution Integral for Initial Value Problems
Exact Differential Equations
Lagrange Multipliers and Three Dimensions, One Constraint
Limit of the Multivariable Function
Minimum Distance Between the Point and the Plane
Precise Definition of the Limit for Multivariable Functions
Critical Points of Multivariable Functions
Discontinuities of a Multivariable Function
Domain of a Multivariable Function
Arc Length of a Vector Function
Area of the Surface
Tangential and Normal Components of the Acceleration Vector
Curl and Divergence
Curvature of the Vector Function
Independence of Path
Line Integral of a Curve
Line Integral of a Vector Function
Maximum Curvature of the Function
Normal and Osculating Planes
Parametric Representation of the Surface
Points on the Surface
Potential Function of a Conservative Vector Field
Potential Function of the Conservative Vector Field to Evaluate a Line Integral
Potential Function of the Conservative Vector Field, Three Dimensions
Re-parametrizing the Curve in Terms of Arc Length
Course Description
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