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Difference Equations to Differential Equations
This book covers the following topics: Sequences, limits, and difference equations, Functions and their properties, Best affine approximations, Integration, Polynomial approximations and Taylor series, transcendental functions, The complex plane and Differential equations.
Author(s): Dan Sloughter, Furman University
NA Pages 
Multivariate Calculus and Ordinary Differential Equations
This note explains the following topics: Functions of Several Variables, Partial Derivatives and Tangent Planes, Max and Min Problems on Surfaces, Ordinary Differential Equations, Parametrisation of Curves and Line Integrals and MATLAB Guide.
Author(s): The University of Queensland
291 Pages
Differential Equations Jeffrey R. Chasnov
The contents of this book include: A short mathematical review, Introduction to odes, First-order odes , Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.
Author(s): Jeffrey R. Chasnov
149 Pages
This book explains the following topics: IFirst-order differential equations, Direction fields, existence and uniqueness of solutions, Numerical methods, Linear equations, models, Complex numbers, roots of unity, Second-order linear equations, Modes and the characteristic polynomial, Good vibrations, damping conditions, Exponential response formula, spring drive, Complex gain, dashpot drive, Operators, undetermined coefficients, resonance, Frequency response, LTI systems, superposition, RLC circuits, Engineering applications, Fourier series, Operations on fourier series , Periodic solutions; resonance, Step functions and delta functions, Step response, impulse response, Convolution, First order systems, Linear systems and matrice, Eigenvalues, eigenvectors, etc.
Author(s): Prof. Haynes Miller, Prof. Arthur Mattuck, Massachusetts Institute of Technology
NA Pages
Ordinary Differential Equations by Gabriel Nagy
This note describes the main ideas to solve certain differential equations, such us first order scalar equations, second order linear equations, and systems of linear equations. It uses power series methods to solve variable coefficients second order linear equations. Also introduces Laplace transform methods to find solutions to constant coefficients equations with generalized source functions.
Author(s): Gabriel Nagy
431 Pages
Ordinary Differential Equations Lecture Notes by Eugen J. Ionascu
This note explains the following topics: Solving various types of differential equations, Analytical Methods, Second and n-order Linear Differential Equations, Systems of Differential Equations, Nonlinear Systems and Qualitative Methods, Laplace Transform, Power Series Methods, Fourier Series.
Author(s): Eugen J. Ionascu
112 Pages
A First Course in Elementary Differential Equations
This note covers the following topics: Qualitative Analysis, Existence and Uniqueness of Solutions to First Order Linear IVP, Solving First Order Linear Homogeneous DE, Solving First Order Linear Non Homogeneous DE: The Method of Integrating Factor, Modeling with First Order Linear Differential Equations, Additional Applications: Mixing Problems and Cooling Problems, Separable Differential Equations, Exact Differential Equations, Substitution Techniques: Bernoulli and Ricatti Equations, Applications of First Order Nonlinear Equations, One-Dimensional Dynamics, Second Order Linear Differential Equations, The General Solution of Homogeneous Equations, Existence of Many Fundamental Sets, Second Order Linear Homogeneous Equations with Constant, Coefficients, Characteristic Equations with Repeated Roots, The Method of Undetermined Coefficients, Applications of Nonhomogeneous Second Order Linear Differential Equations.
Author(s): Marcel B. Finan
213 Pages
Partial Differential Equations Lectures by Joseph M. Mahaffy
This note introduces students to differential equations. Topics covered includes: Boundary value problems for heat and wave equations, eigenfunctionexpansions, Surm-Liouville theory and Fourier series, D'Alembert's solution to wave equation, characteristic, Laplace's equation, maximum principle and Bessel's functions.
Author(s): Joseph M. Mahaffy
NA Pages
Introduction to Partial Differential Equations
Goal of this note is to develop the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from physics. Topics covered includes: Power Series, Symmetry and Orthogonality, Fourier Series, Partial Differential Equations, PDE’s in Higher Dimensions.
Author(s): John Douglas Moore
169 Pages
Introduction to Partial Differential Equations Lecture Notes
This lecture note introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. It includes mathematical tools, real-world examples and applications.
Author(s): Prof. Jared Speck
NA Pages
Mathematical Methods For Partial Differential Equations
These are the sample pages from the textbook. Topics Covered: Partial differential equations, Orthogonal functions, Fourier Series, Fourier Integrals, Separation of Variables, Boundary Value Problems, Laplace Transform, Fourier Transforms, Finite Transforms, Green's Functions and Special Functions.
Author(s): John Henry Heinbockel
NA Pages
This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. On account of the elementary character of the book, only the simpler portions of the subject have been touched upon at all ; and much care has been taken to make all the developments as clear as possible every important step being illustrated by easy examples.
Author(s): James Morris
264 Pages
This note covers the following topics: Derivatives, differential equations, partial differential equations, distributions, Cauchy-Kowalewsky theorem, heat equation, Laplace equation, Schrodinger equation, wave equation, Cauchy-Riemann equations.
Author(s): L. Boutet de Monvel
26 Pages
Second Order Linear Differential Equations
This note contains problems and their solutions related to Second-Order Linear Differential Equations.
Author(s): NA
10 Pages
Entropy and Partial Differential Equations
This note covers the following topics: Entropy and equilibrium, Entropy and irreversibility, Continuum thermodynamics, Elliptic and parabolic equations, Conservation laws and kinetic equations, Hamilton–Jacobi and related equations, Entropy and uncertainty, Probability and differential equations.
Author(s): Lawrence C. Evans
213 Pages
Monograph on quasilinear partial differential equations (EJDE)
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
An Introduction to Stochastic Differential Equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
