Mechanical - Mathematical Methods in Engineering and Science (English)

   Thursday, April 24, 2025   

Starting a new Lecture Notes Series on Mechanical - Mathematical Methods in Engineering and Science

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Chemistry - Introduction to Organometallic Chemistry By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 Introduction

Lecture 2: Mod-01 Lec-02 Basic Ideas of Applied Linear Algebra

Lecture 3: Mod-01 Lec-03 Systems of Linear Equations

Lecture 4: Mod-01 Lec-04 Square Non-Singular Systems

Lecture 5: Mod-01 Lec-05 Ill-Conditioned and Ill-Posed Systems

Lecture 6: Mod-02 Lec-06 The Algebraic Eigenvalue Problem

Lecture 7: Mod-02 Lec-07 Canonical Forms, Symmetric Matrices

Lecture 8: Mod-02 Lec-08 Methods of Plane Rotations

Lecture 9: Mod-02 Lec-09 Householder Method, Tridiagonal Matrices

Lecture 10: Mod-02 Lec-10 QR Decomposition, General Matrices

Lecture 11: Mod-03 Lec-11 Singular Value Decomposition

Lecture 12: Mod-03 Lec-12 Vector Space: Concepts

Lecture 13: Mod-03 Lec-13 Multivariate Calculus

Lecture 14: Mod-03 Lec-14 Vector Calculus in Geometry

Lecture 15: Mod-03 Lec-15 Vector Calculus in Physics

Lecture 16: Mod-04 Lec-16 Solution of Equations

Lecture 17: Mod-04 Lec-17 Introdcution to Optimization

Lecture 18: Mod-04 Lec-18 Multivariate Optimization

Lecture 19: Mod-04 Lec-19 Constrained Optimization: Optimality Criteria

Lecture 20: Mod-04 Lec-20 Constrained Optimization: Further Issues

Lecture 21: Mod-05 Lec-21 Interpolation

Lecture 22: Mod-05 Lec-22 Numerical Integration

Lecture 23: Mod-05 Lec-23 Numerical Solution of ODE's as IVP

Lecture 24: Mod-05 Lec-24 Boundary Value Problems, Question of Stability in IVP Solution

Lecture 25: Mod-05 Lec-25 Stiff Differential Equations, Existence and Uniqueness Theory

Lecture 26: Mod-06 Lec-26 Theory of First Order ODE's

Lecture 27: Mod-06 Lec-27 Linear Second Order ODE's

Lecture 28: Mod-06 Lec-28 Methods of Linear ODE's

Lecture 29: Mod-06 Lec-29 ODE Systems

Lecture 30: Mod-06 Lec-30 Stability of Dynamic Systems

Lecture 31: Mod-07 Lec-31 Series Solutions and Special Functions

Lecture 32: Mod-07 Lec-32 Sturm-Liouville Theory

Lecture 33: Mod-07 Lec-33 Approximation Theory and Fourier Series

Lecture 34: Mod-07 Lec-34 Fourier Integral to Fourier Transform, Minimax Approximation

Lecture 35: Mod-08 Lec-35 Separation of Variables in PDE's, Hyperbolic Equations

Lecture 36: Mod-08 Lec-36 Parabolic and Elliptic Equations, Membrane Equation

Lecture 37: Mod-08 Lec-37 Analytic Functions

Lecture 38: Mod-08 Lec-38 Integration of Complex Functions

Lecture 39: Mod-08 Lec-39 Singularities and Residues

Lecture 40: Mod-08 Lec-40 Calculus of Variations