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Management Engineering (Academic Year 2018/2019) - Economics path

Mathematical Methods



Video professors: Praveen Agarwal - Vice Principal Chief Coordinator International Relations ANAND International College of Engineering Jaipur India (India)

Videolesson

Lesson n. 1: Functions of Several Variables: Limits and Continuity
   Introduction

   Limit

   Continuity
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Lesson n. 2: Partial Derivatives
   Partial Derivatives

   Partial Derivatives of Higher Orders
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Lesson n. 3: Functions of Several Variables: maxima e minima
   Maxima and Minima of Functions of Several Variables

   Saddle Point
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Lesson n. 4: Lagrange’s Method of Undetermined multipliers
   Introduction

   Lagrange's Method of Undetermined Multipliers
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Lesson n. 5: Functions of Several Variables: gradient
   Introduction

   Definition of Gradient

   Properties of Gradient
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Lesson n. 6: The concept and related properties of Divergence
   Introduction: Definition of Divergence and Curl of a Vector point Function

   Properties of Divergence and Curl of a Vector point Function
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Lesson n. 7: Directional derivative
   Introduction Directional Derivative

   Total Derivative
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Lesson n. 8: Tangent plane and normal plane
   Introduction

   Equation of Tangent Plane and equation of Normal Line
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Lesson n. 9: Double integral: introduction
   Introduction-Concept of Cartesian and Polar Coordinates

   Definition of the Double Integral in Cartesian Form
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Lesson n. 10: Double integral in Polar form
   Introduction

   Definition of the Double Integral in Polar Form
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Lesson n. 11: Double integral: Change of Order of Integration
   Introduction

   Change of Order of Integration
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Lesson n. 12: Double integral: Change of variable form Cartesian to polar
   Introduction

   Change of Variables from Cartesian to Polar or Polar to Cartesian
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Lesson n. 13: The computation of the area
   Introduction

   Area in Cartesian Co-ordinates

   Area in Polar Co-ordinates
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Lesson n. 14: The computation of Volume of Solid by Rotation of an Area
   Introduction

   Volume of Solid by Rotation of an Area
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Lesson n. 15: Triple integral: introduction
   Introduction

   Triple Integral in Cartesian and Polar form
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Lesson n. 16: Line Integral
   Introduction

   Line Integral
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Lesson n. 17: Surface Integral Go to this lesson Praveen Agarwal
Lesson n. 18: Volume integral
   Introduction

   Volume Integral
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Lesson n. 19: The Green’s theorem
   Introduction

   Green's Theorem
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Lesson n. 20: Stoke’s Theorem and Gauss’s Theorem
   Introduction

   Stoke's Theorem

   Gauss's Theorem
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Lesson n. 21: Differential Equation: introduction
   Introduction Differential Equation

   Formation and Solution of a Differential Equation
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Lesson n. 22: Ordinary Differential equation: introduction
   Introduction Ordinary Differential Equation of First Order and First Degree

   Separation of Variable
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Lesson n. 23: Homogeneous Differential Equation
   Introduction Homogeneous Function

   Homogeneous Differential Equation
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Lesson n. 24: Non-Homogeneous Differential Equation
   Introduction

   Non-Homogeneous Differential Equation Reducibile to Homogeneous Form
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Lesson n. 25: Linear Differential Equations of The First Order
   Linear Differential Equations of the First Order

   Equations Reducibile to the Linear (Bernoulli's Equation)
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Lesson n. 26: Exact Differential Equation Go to this lesson Praveen Agarwal
Lesson n. 27: The integrating factor Go to this lesson Praveen Agarwal
Lesson n. 28: First Order Non-Linear Differential Equations Go to this lesson Praveen Agarwal
Lesson n. 29: Differential Equation of Higher Order With Constant Coefficients Go to this lesson Praveen Agarwal
Lesson n. 30: Differential Equation: particular integral Go to this lesson Praveen Agarwal