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Introduction to Differential Equations by Andrew D. Lewis
This note explains the following topics: What are differential equations, Polynomials, Linear algebra, Scalar ordinary differential equations, Systems of ordinary differential equations, Stability theory for ordinary differential equations, Transform methods for differential equations, Second-order boundary value problems.
Author(s): Andrew D. Lewis
641 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
Ordinary Differential Equations by Gabriel Nagy
This book explains the following topics: First Order Equations, Second Order Linear Equations, Reduction of Order Methods, Homogenous Constant Coefficients Equations ,Power Series Solutions, The Laplace Transform Method, Systems of Linear Differential Equations, Autonomous Systems and Stability, Boundary Value Problems.
Author(s): Gabriel Nagy
431 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
Lectures on Partial Differential Equations
This note explains the following topics: The translation equation, The wave equation, The diffusion equation, The Laplace equation, The Schrodinger equation, Diffusion and equilibrium, Fourier series, Fourier transforms, Gradient and divergence, Spherical harmonics.
Author(s): William G. Faris
123 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
Lectures on Differential Equations
This note covers the following topics: First Order Equations and Conservative Systems, Second Order Linear Equations, Difference Equations, Matrix Differential Equations, Weighted String, Quantum Harmonic Oscillator, Heat Equation and Laplace Transform.
Author(s): Craig A. Tracy
175 Pages
Introduction to Differential Equations
This book covers the following topics: 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
128 Pages
Notes on Partial Differential Equations
This book covers the following topics: Laplace's equations, Sobolev spaces, Functions of one variable, Elliptic PDEs, Heat flow, The heat equation, The Fourier transform, Parabolic equations, Vector-valued functions and Hyperbolic equations.
Author(s): John K. Hunter
224 Pages
Differential equations by Harry Bateman
Harry Bateman was a famous English mathematician. In writing this book he had endeavoured to supply some elementary material suitable for the needs of students who are studying the subject for the first time, and also some more advanced work which may be useful to men who are interested more in physical mathematics than in the developments of differential geometry and the theory of functions. The chapters on partial differential equations have consequently been devoted almost entirely to the discussion of linear equations.
Author(s): Harry Bateman
320 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
Linear Partial Differential Equations and Fourier Theory
This is a textbook for an introductory course on linear partial differential equations (PDEs) and initial/boundary value problems (I/BVPs). It also provides a mathematically rigorous introduction to Fourier analysis which is the main tool used to solve linear PDEs in Cartesian coordinates.
Author(s): Marcus Pivato
619 Pages
Integral And Differential Equations
This note covers the following topics: Integral Equations, Ordinary Differential Equations, Partial Differential Equations.
Author(s): Professor Jim Herod
NA 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(Evans L.C pdf)
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Exterior Differential Systems and Euler Lagrange Partial Differential Equations
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
