In this book we discuss several numerical methods for solving ordinary differential equations. We emphasize the aspects that play an important role in practical problems. We confine ourselves to ordinary differential equations with the exception of the last chapter in which we discuss the heat equation, a parabolic partial differential equation. The techniques discussed in the intro-ductory chapters, for instance interpolation, numerical quadrature and the solution to nonlinear equations, may also be used outside the context of differential equations. They have been in-cluded to make the book self-contained as far as the numerical aspects are concerned. Chapters, sections and exercises marked with a * are not part of the Delft Institutional Package.
The numerical examples in this book were implemented in Matlab, but also Python or any other programming language could be used. A list of references to background knowledge and related literature can be found at the end of this book. Extra information about this course can be found at http://NMODE.ewi.tudelft.nl, among which old exams, answers to the exercises, and a link to an online education platform. We thank Matthias Moller for his thorough reading of the draft of this book and his helpful suggestions.

A presentation of the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields. Topics include: Mathematical Formulations; Finite Difference and Finite Volume Discretizations; Finite Element Discretizations; Boundary Element Discretizations; Direct and Iterative Solution Methods.
This course was also taught as part of the Singapore-MIT Alliance (SMA) programme as course number SMA 5212 (Numerical Methods for Partial Differential Equations).

Open Source Calculus and Analysis - A comprehensive textbook introducing the main concepts from calculus and analysis

Features
- Comprehensiveness: all from calculus and analysis that is needed in first year mathematics-oriented programmes
- Mathematical rigour: formal definitions, extended theorems and proofs
- Includes differential equations
- Applicability: integrated symbolic (Mathematica or SymPy) and numerical computation (Python), review exercises, and so on
- Accessibility: final solution to all exercises, QR codes to accompanying videos,…
- Flexibility: using dedicated if-loops in the underlying Latex-code you can compile the version that suits your needs (Mathematica or Sympy, Calculus only or analysis as well, with or without differential equations,…)

The Ordinary Differential Equation Project is an open source textbook designed to teach ordinary differential equations to undergraduates. This is a work in progress by Thomas W. Judson. The books strengths will include a wide range of exercises, both computational and theoretical, plus many nontrivial applications. Technology is integrated into the textbook using the open source system, Sage.

This course introduces dynamic processes and the engineering tasks of process operations and control. Subject covers modeling the static and dynamic behavior of processes; control strategies; design of feedback, feedforward, and other control structures; and applications to process equipment.
Dedication
In preparing this material, the author has recalled with pleasure his own introduction, many years ago, to Process Control. This OCW course is dedicated with gratitude, to Prof. W. C. Clements of the University of Alabama.

Differential Equations and Linear Algebra is a free and open textbook introducing the basics of differential equations and linear algebra to undergraduate students. Students should have taken courses in Differential and Integral Calculus before using this textbook. This book is a combination of 3 open educational resources: 1. Elementary Differential Equations by William F. Trench, licensed under CC BY-NC-SA 3.0. 2. Differential Equations for Engineers by Jiří Lebl, licensed under CC BY-NC-SA 3.0. 3. A First Course in Linear Algebra (an open text) by Lyryx Learning – based on original text by Ken Kuttler, licensed under CC BY.

This unit includes 5 lessons that culminates in a persuasive argument in the form of letter to congressional member or grant proposal to Duke Energy.

This unit includes 5 lessons that culminates in a persuasive argument in the form of letter to congressional member or grant proposal to Duke Energy.

Using inquiry-based reading, students will explore an anchor text and then develop their own supporting questions to guide their research.

The STEM Concept Videos are designed to help students learn a pivotal concept in science, technology, engineering, and/or mathematics (STEM). These ideas are the building blocks of many engineering curricula, and learning them will help students master more difficult material. The STEM Concept Videos were produced by the Teaching and Learning Lab (TLL) at MIT for the Singapore University of Technology and Design (SUTD).
For more information on how these videos were developed, please see the paper presented by TLL researchers at the American Society for Engineering Education (ASEE) 2013 conference.
Shah, D.N., JE French, J. Rankin, L. Breslow. “Using Video to Tie Engineering Themes to Foundational Concepts.” American Society for Engineering Education Annual Conference, June 23-26, 2013.

This course provides an introduction to linear systems, transfer functions, and Laplace transforms. It covers stability and feedback, and provides basic design tools for specifications of transient response. It also briefly covers frequency-domain techniques.

In this Modeling Scenario we help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the column. We offer several sources of simulations on YouTube from which one can collect data and ask students to verify their model through parameter estimation.

This is an example of the type of resources which is freely and openly available under the most generous Creative Commons License at SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations. SIMIODE is about teaching differential equations using modeling and technology upfront and throughout the learning process. You can learn more at our dynamic website, where we offer a community in which colleagues can communicate, collaborate, publish, teach, explore, contribute, etc.

Everything is FREE at SIMIODE.SIMIODE is all about helping faculty to teach differential equations through modeling and technology and we are building a community of resources and support for that purpose. Come join us as faculty and as students. All is FREE. We are building a complete environment for teachers and learners – communication, groups across and intra/inter campus projects for students and teachers, models, data, and videos. For the latter see our YouTube videos on our YouTube Channel for SIMIODE.

This was an assignment in a junior-level Differential Equations class at Fitchburg State University.  It was also part of an Open Pedagogy group in which all participants produced materials for a class in an Open Pedagogy sense.  The goal of the group was twofold: 1) to learn what open pedagogy is, both in the general sense as well as in one's particular academic field and 2) to develop an Open Pedagogy assignment in a current or future class.