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Civil environmental engineering (Academic Year 2022/2023) - Structures and Infrastructures

Mathematical Methods



Slides

Lesson n. 1: Functions of Several Variables: Limits and Continuity
   Introduction
   Limit
   Continuity 		Go to this slide Praveen Agarwal
Lesson n. 2: Partial Derivatives
   Partial Derivatives
   Partial Derivatives of Higher Orders 		Go to this slide Praveen Agarwal
Lesson n. 3: Functions of Several Variables: maxima e minima
   Maxima and Minima of Functions of Several Variables
   Saddle Point 		Go to this slide Praveen Agarwal
Lesson n. 4: Lagrange’s Method of Undetermined multipliers
   Introduction
   Lagrange's Method of Undetermined Multipliers 		Go to this slide Praveen Agarwal
Lesson n. 5: Functions of Several Variables: gradient
   Introduction
   Definition of Gradient
   Properties of Gradient 		Go to this slide Praveen Agarwal
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 		Go to this slide Praveen Agarwal
Lesson n. 7: Directional derivative
   Introduction Directional Derivative
   Total Derivative 		Go to this slide Praveen Agarwal
Lesson n. 8: Tangent plane and normal plane Go to this slide Praveen Agarwal
Lesson n. 9: Double integral: introduction Go to this slide Praveen Agarwal
Lesson n. 10: Double integral in Polar form Go to this slide Praveen Agarwal
Lesson n. 11: Double integral: Change of Order of Integration Go to this slide Praveen Agarwal
Lesson n. 12: Double integral: Change of variable form Cartesian to polar Go to this slide Praveen Agarwal
Lesson n. 13: The computation of the area Go to this slide Praveen Agarwal
Lesson n. 14: The computation of Volume of Solid by Rotation of an Area Go to this slide Praveen Agarwal
Lesson n. 15: Triple integral: introduction Go to this slide Praveen Agarwal
Lesson n. 16: Line Integral Go to this slide Praveen Agarwal
Lesson n. 17: Surface Integral Go to this slide Praveen Agarwal
Lesson n. 18: Volume integral Go to this slide Praveen Agarwal
Lesson n. 19: The Green’s theorem Go to this slide Praveen Agarwal
Lesson n. 20: Stoke’s Theorem and Gauss’s Theorem Go to this slide Praveen Agarwal
Lesson n. 21: Differential Equation: introduction Go to this slide Praveen Agarwal
Lesson n. 22: Ordinary Differential equation: introduction Go to this slide Praveen Agarwal
Lesson n. 23: Homogeneous Differential Equation Go to this slide Praveen Agarwal
Lesson n. 24: Non-Homogeneous Differential Equation Go to this slide Praveen Agarwal
Lesson n. 25: Linear Differential Equations of The First Order Go to this slide Praveen Agarwal
Lesson n. 26: Exact Differential Equation Go to this slide Praveen Agarwal
Lesson n. 27: The integrating factor Go to this slide Praveen Agarwal
Lesson n. 28: First Order Non-Linear Differential Equations Go to this slide Praveen Agarwal
Lesson n. 29: Differential Equation of Higher Order With Constant Coefficients Go to this slide Praveen Agarwal
Lesson n. 30: Differential Equation: particular integral Go to this slide Praveen Agarwal