# Notes on Diffy Qs

Educator Edition

*Supported by the National Science Foundation. Coming Soon!*

Textbook | Pair this course with Notes on Diffy Qs: Differential Equations for Engineers or a differential equations textbook of your choice. |

## Overview

This course is designed to be a companion to *Notes on Diffy Qs: Differential Equations for Engineers *and was prepared by the book's author, Jiri Lebl*. *The problem sets map contain over 310 interactive, algorithmic problems and map directly to textbook sections.

Edfinity is a full-featured homework system that supports mathematically aware problems with algebraic input, evaluation of mathematical expressions, and randomized variants for personalized learning. Use this problem series as-is, or mix-and-match with other series or your own problems as desired. Edfinity gives you complete control over every aspect of students' online assessment experience.

## How to use this course

**Develop problem-solving skills:**Use the problem sets to help students develop problem-solving skills. Save hours of grading time.**Flip your classroom:**Have students work on assignments ahead of class to master the basics and save precious class time for discussions and difficult problems.**Make your own tests and quizzes:**Edfinity’s flexible assignment templates allow you to create timed quizzes and tests in minutes. Assessments are auto-scored and provide summary statistics and analytics on student outcomes**Remix problems:**Select problem sets of your choice. Find more problems in the Edfinity repository, or create your own.

## WeBWorK

This course includes algorithmic WeBWorK problems, with support for randomized variants, algebraic expressions, and mathematical objects such as vectors, matrices, intervals, and complex numbers.

## Problem Sets

- Edfinity Demo
- Sec 0.2: Introduction to differential equations
- Sec 0.3: Classification of differential equations
- Sec 1.1: Integrals as solutions
- Sec 1.2: Slope fields
- Sec 1.3: Separable equations
- Sec 1.4: Linear equations and the integrating factor
- Sec 1.5: Substitution
- Sec 1.6: Autonomous equations
- Sec 1.7: Numerical methods: Euler's method
- Sec 1.8: Exact equations
- Sec 2.1: Second order linear ODEs
- Sec 2.2: Constant coefficient second order linear ODEs
- Sec 2.3: Higher order linear ODEs
- Sec 2.4: Mechanical vibrations
- Sec 2.5: Nonhomogeneous equations
- Sec 2.6: Forced oscillations and resonance
- Sec 3.1: Introduction to systems of ODEs
- Sec 3.2: Matrices and linear systems
- Sec 3.3: Linear systems of ODEs
- Sec 3.4: Eigenvalue method
- Sec 3.5: Two dimensional systems and their vector fields
- Sec 3.6: Second order systems and applications
- Sec 3.7: Multiple eigenvalues
- Sec 3.8: Matrix exponentials
- Sec 3.9: Nonhomogeneous systems
- Sec 6.1: The Laplace transform
- Sec 6.2: Transforms of derivatives and ODEs
- Sec 6.3: Convolution
- Sec 6.4: Dirac delta and impulse response
- Sec 7.1: Power series
- Sec 7.2: Series solutions of linear second order ODEs
- Sec 7.3: Singular points and the method of Frobenius
- Sec 8.1: Linearization, critical points, and equilibria
- Sec 8.2: Stability and classification of isolated critical points
- Sec 8.3: Applications of nonlinear systems
- Sec 8.4: Limit cycles

## License

This is a multi-student, educator license. You will be able to manage an online course with your students, and monitor their progress.