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Mathematical Methods in Engineering and Science (Video)

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Mathematical Methods in Engineering and Science (Video)

Validity Unlimited Mathematical Methods in Engineering and Science (Video) All Level Mathematical Methods in Engineering and Science (Video) English

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Free

About This Course

Applied Linear Algebra. Nonlinear Optimization. Numerical Methods. Vector and Complex Analysis. Differential Equations and Applications. Approximation Techniques.

  • Mathematical Methods in Engineering and Science (Video) Total 8 Modules
  • Mathematical Methods in Engineering and Science (Video) 40 Videos
  • Mathematical Methods in Engineering and Science (Video) Downloadable on mobile
  • Mathematical Methods in Engineering and Science (Video) Published on 26 June, 2019

Course Curriculum

Module I. Solution of Linear Systems

Mathematical Methods in Engineering and Science (Video)
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    Introduction

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    Basic Ideas of Applied Linear Algebra

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    Systems of Linear Equations

    51m <?php echo  $alt; ?>
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    Square Non-Singular Systems

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    Ill-Conditioned and Ill-Posed Systems

    55m <?php echo  $alt; ?>

Module II. The Algebraic Eigenvalue Problem

Mathematical Methods in Engineering and Science (Video)
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    The Algebraic Eigenvalue Problem

    55m <?php echo  $alt; ?>
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    Canonical Forms, Symmetric Matrices

    55m <?php echo  $alt; ?>
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    Methods of Plane Rotations

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    Householder Method, Tridiagonal Matrices

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    QR Decomposition, General Matrices

    57m <?php echo  $alt; ?>

Module III. Selected Topics in Linear Algebra and Calculus

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    Singular Value Decomposition

    57m <?php echo  $alt; ?>
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    Vector Space: Concepts

    54m <?php echo  $alt; ?>
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    Multivariate Calculus

    56m <?php echo  $alt; ?>
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    Vector Calculus in Geometry

    1h 63 min <?php echo  $alt; ?>
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    Vector Calculus in Physics

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Module IV. An Introductory Outline of Optimization Techniques

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    Solution of Equations

    54m <?php echo  $alt; ?>
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    Introduction to Optimization

    54m <?php echo  $alt; ?>
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    Multivariate Optimization

    55m <?php echo  $alt; ?>
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    Constrained Optimization: Optimality Criteria

    55m <?php echo  $alt; ?>
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    Constrained Optimization: Further Issues

    56m <?php echo  $alt; ?>

Module V. Selected Topics in Numerical Analysis

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    Interpolation

    58m <?php echo  $alt; ?>
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    Numerical Integration

    53m <?php echo  $alt; ?>
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    Numerical Solution of ODE's as IVP

    53m <?php echo  $alt; ?>
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    Boundary Value Problems, Question of Stability in IVP Solution?

    55m <?php echo  $alt; ?>
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    Stiff Differential Equations, Existence and Uniqueness Theory

    58m <?php echo  $alt; ?>

Module VI. Ordinary Differential Equations

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    Theory of First-Order ODE's

    53m <?php echo  $alt; ?>
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    Linear Second Order ODE's

    1h 61 min <?php echo  $alt; ?>
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    Methods of Linear ODE's

    1h 61 min <?php echo  $alt; ?>
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    ODE Systems

    53m <?php echo  $alt; ?>
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    Stability of Dynamic Systems

    1h 61 min <?php echo  $alt; ?>

Module VII. Application of ODE\'s in Approximation Theory

Mathematical Methods in Engineering and Science (Video)
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    Series Solutions and Special Functions

    1h 61 min <?php echo  $alt; ?>
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    Sturm-Liouville Theory

    1h 60 min <?php echo  $alt; ?>
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    Approximation Theory and Fourier Series

    1h 60 min <?php echo  $alt; ?>
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    Fourier Integral to Fourier Transform, Minimax Approximation

    55m <?php echo  $alt; ?>

Module VIII. Overviews: PDE\'s, Complex Analysis and Variational Calculus

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    Calculus of Variations

    55m <?php echo  $alt; ?>
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    Separation of Variables in PDE's, Hyperbolic Equations

    54m <?php echo  $alt; ?>
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    Parabolic and Elliptic Equations, Membrane Equation

    51m <?php echo  $alt; ?>
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    Analytic Functions

    51m <?php echo  $alt; ?>
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    Integration of Complex Functions

    58m <?php echo  $alt; ?>
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    Singularities and Residues

    57m <?php echo  $alt; ?>

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