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Introduction to Ordinary and Partial Differential Equations
This note covers the following topics: Classification of Differential Equations, First Order Differential Equations, Second Order Linear Equations, Higher Order Linear Equations, The Laplace Transform, Systems of Two Linear Differential Equations, Fourier Series, Partial Differential Equations.
Author(s): Wen Shen
234 Pages 
This note contains below topics, some linear algebra, but these references are not essential and can be skimmed, can safely be dropped, while still covering chapters 4 and 5, does not depend on, except that the PDEs section 6 5 makes a few references to, and maybe.
Author(s): Jiri Lebl
466 Pages
Spectral Theory of Partial Differential Equations Lecture Notes
This note contains below topics, Discrete Spectrum, Continuous Spectrum.
Author(s): Richard S. Laugesen
120 Pages
A Friendly Introduction to Differential Equations
This paper looks at friendly differential equations and keeps the language simple. It asks what friendly is, how equations fits, and what a student should notice. If a word in differential equations is new, the next sentence says what it means.
Author(s): Mohammed K A Kaabar
165 Pages
Symmetries of Ordinary Differential Equations A Short Introduction
This book contains below topics, Basic notions and facts, Local oneparameter orbital symmetry groups, Multiparameter symmetries and invariant sets, Linear symmetries and normal forms, background on power series.
Author(s): Sebastian Walcher
68 Pages
Introduction to Stochastic Differential Equations SDEs for Finance
This book contains below topics, Financial Introduction, Brownian Motion and Stochastic Calculus, The BlackScholes Theory, The BlackScholes Greeks, Exotic Options, Implied Volatility and LocalVolatility Fits, Stochastic Volatility, Stochastic Control, A Martingales and Stopping Times, B Some Notes on Fourier Transforms.
Author(s): Andrew Papanicolaou
103 Pages
This note contains below topics, THE SOBOLEV SPACES AND THE BOUNDARY VALUE PROBLEMS, CAUCHY PROBLEM FOR PDEs AND STABILITY ESTIMATES, III CARLEMAN ESTIMATES AND UNIQUE CONTINUATION PROPERTIES.
Author(s): Sergio Vessella
799 Pages
Estimating and Assessing Differential Equation Models with Time Course Data
Ordinary differential equation models are widely used to describe chemical or biological processes. This article considers how to estimate and assess such models from time course data. The data are often noisy, and some parts of the system may not be observed.
Author(s): Samuel W. K. Wong, Shihao Yang, S. C. Kou
53 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