Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
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 
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
An Introduction to Partial Differential Equations
This book contains below topics, First notions, PDEs as mathematical models of physical systems, Initial and boundary conditions, Numerical methods, First order PDEs, Classification of equations Characteristics, Adjoint differential operators, Initial and boundary value problems in bounded domains, The SturmLiouville problem and Fourier series, Integral transforms, Projects.
Author(s): Per Kristen Jakobsen
226 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
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
A Concise Introduction to Control Theory for Stochastic Partial Differential Equations
This note contains below topics, Control systems governed by stochastic partial differential equations, Controllability and observability for stochastic evolution equations some simple results, Controllability of stochastic partial differential equations stochastic transport equations, Controllability of stochastic partial differential equations stochastic parabolic equations, Controllability of stochastic partial differential equations stochastic hyperbolic equations, Stochastic linear quadratic optimal control problems openloop optimal control, Stochastic linear quadratic optimal control problems optimal feedback control, Stochastic linear quadratic optimal control problems deterministic coefficients, Pontryagin type maximum principle for controlled stochastic evolution equations, A sufficient condition for an optimal control.
Author(s): Qi Lü, Xu Zhang
112 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