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Mathematical Methods in Engineering and Science (Video)
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Mathematical Methods in Engineering and Science (Video)
by Dr Bhaskar Dasgupta

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

0.0  (0 Ratings) 657 Learner
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level All Level
level English
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Program Fee
FREE
About This Course

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

Course Curriculum
8 Sections | 40 Lecture | 37h 41min total length
Expand all sections
Mathematical Methods in Engineering and Science (Video)

Module I. Solution of Linear Systems

| 04h 31min total length
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    Introduction

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    Basic Ideas of Applied Linear Algebra

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    Systems of Linear Equations

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    Square Non-Singular Systems

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    Ill-Conditioned and Ill-Posed Systems

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Mathematical Methods in Engineering and Science (Video)

Module II. The Algebraic Eigenvalue Problem

| 04h 44min total length
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    The Algebraic Eigenvalue Problem

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    Canonical Forms, Symmetric Matrices

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    Methods of Plane Rotations

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    Householder Method, Tridiagonal Matrices

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    QR Decomposition, General Matrices

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Mathematical Methods in Engineering and Science (Video)

Module III. Selected Topics in Linear Algebra and Calculus

| 04h 50min total length
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    Singular Value Decomposition

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    Vector Space: Concepts

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    Multivariate Calculus

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    Vector Calculus in Geometry

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    Vector Calculus in Physics

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Mathematical Methods in Engineering and Science (Video)

Module IV. An Introductory Outline of Optimization Techniques

| 04h 36min total length
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    Solution of Equations

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    Introduction to Optimization

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    Multivariate Optimization

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    Constrained Optimization: Optimality Criteria

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    Constrained Optimization: Further Issues

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Mathematical Methods in Engineering and Science (Video)

Module V. Selected Topics in Numerical Analysis

| 04h 39min total length
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    Interpolation

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    Numerical Integration

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    Numerical Solution of ODE's as IVP

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    Boundary Value Problems, Question of Stability in IVP Solution?

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    Stiff Differential Equations, Existence and Uniqueness Theory

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Mathematical Methods in Engineering and Science (Video)

Module VI. Ordinary Differential Equations

| 04h 50min total length
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    Theory of First-Order ODE's

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    Linear Second Order ODE's

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

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    ODE Systems

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    Stability of Dynamic Systems

    1h 61 min <?php echo $alt; ?>
Mathematical Methods in Engineering and Science (Video)

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

| 03h 57min total length
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    Series Solutions and Special Functions

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    Sturm-Liouville Theory

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    Approximation Theory and Fourier Series

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    Fourier Integral to Fourier Transform, Minimax Approximation

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Mathematical Methods in Engineering and Science (Video)

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

| 05h 28min total length
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    Calculus of Variations

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    Separation of Variables in PDE's, Hyperbolic Equations

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    Parabolic and Elliptic Equations, Membrane Equation

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    Analytic Functions

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    Integration of Complex Functions

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    Singularities and Residues

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show 5 more sections
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