Mathematical Methods in Engineering

Total Lectures


Mod-01 Lec-01 Introduction


Mod-01 Lec-01 Introduction
Mod-01 Lec-02 Basic Ideas of Applied Linear Algebra
Mod-01 Lec-03 Systems of Linear Equations
Mod-01 Lec-04 Square Non-Singular Systems
Mod-01 Lec-05 Ill-Conditioned and Ill-Posed Systems
Mod-02 Lec-06 The Algebraic Eigenvalue Problem
Mod-02 Lec-07 Canonical Forms, Symmetric Matrices
Mod-02 Lec-08 Methods of Plane Rotations
Mod-02 Lec-09 Householder Method, Tridiagonal Matrices
Mod-02 Lec-10 QR Decomposition, General Matrices
Mod-03 Lec-11 Singular Value Decomposition
Mod-03 Lec-12 Vector Space: Concepts
Mod-03 Lec-13 Multivariate Calculus
Mod-03 Lec-14 Vector Calculus in Geometry
Mod-03 Lec-15 Vector Calculus in Physics
Mod-04 Lec-16 Solution of Equations
Mod-04 Lec-17 Introdcution to Optimization
Mod-04 Lec-18 Multivariate Optimization
Mod-04 Lec-19 Constrained Optimization: Optimality Criteria
Mod-04 Lec-20 Constrained Optimization: Further Issues
Mod-05 Lec-21 Interpolation
Mod-05 Lec-22 Numerical Integration
Mod-05 Lec-24 Boundary Value Problems, Question of Stability in IVP Solution
Mod-05 Lec-25 Stiff Differential Equations, Existence and Uniqueness Theory
Mod-06 Lec-29 ODE Systems
Mod-06 Lec-30 Stability of Dynamic Systems
Mod-07 Lec-31 Series Solutions and Special Functions
Mod-07 Lec-32 Sturm-Liouville Theory
Mod-07 Lec-33 Approximation Theory and Fourier Series
Mod-07 Lec-34 Fourier Integral to Fourier Transform, Minimax Approximation
Mod-08 Lec-36 Parabolic and Elliptic Equations, Membrane Equation
Mod-08 Lec-37 Analytic Functions
Mod-08 Lec-38 Integration of Complex Functions
Mod-08 Lec-39 Singularities and Residues
Mod-08 Lec-40 Calculus of Variations
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