Notes on Diffy QsEdfinity is supported by the National Science Foundation
About this Course
This is an online homework companion to Notes on Diffy Qs: Differential Equations for Engineers by Jiri Lebl. It comprises hundreds of algorithmic problems carefully organized into problem sets mapped to textbook sections. Use this course as-is, or customize at any level. You can mix-and-match problems from other catalog courses, add problems from the Edfinity problem repository, or write your own
How to use this course
- Homework: Assign high quality problems with hints and personalized feedback to develop problem-solving skills.
- Testing: Create summative secure online quizzes and tests in minutes.
- Supplementary resources: Embed videos, class notes, and applets alongside assignments.
- Intervention: Use rich analytics to identify and monitor at-risk students for timely intervention.
- Analytics: Drill down into student performance and identify problematic or difficult topics.
- Flipped classroom: Assign pre-class assignments. Save precious class time for discussions.
- Emporium classes: Use Edfinity for individual/group work for large enrollment sections in labs.
Edfinity is a full-featured homework system that supports mathematically-aware problems with algebraic input, evaluation of mathematical expressions, randomized variants, prerequisite pathways for personalized learning, collaboration, coordinated courses, flexible configuration of students’ experience, and complete customization of assignments. Edfinity is WeBWorK-compatible - existing WeBWorK courses can be automatically imported, and you can author new WeBWorK problems using our problem authoring tool.
Algebraic, graphing, numeric, open response; randomized variants, hints, and tips
Create personalized prerequisite pathways.
Connect to your LMS in minutes.
Read our VPAT.
Import and author WeBWorK problems.
- 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
- Sec 1.8: Exact equations
- Sec 1.9: First order linear PDE
- 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 4.1: Boundary value problems
- Sec 4.10: Dirichlet problem in the circle and the Poisson kernel
- Sec 4.2: The trigonometric series
- Sec 4.3: More on the Fourier series
- Sec 4.4: Sine and cosine series
- Sec 4.5: Applications of Fourier series
- Sec 4.6: PDEs, separation of variables, and the heat equation
- Sec 4.7: One dimensional wave equation
- Sec 4.8: D’Alembert solution of the wave equation
- Sec 4.9: Steady state temperature and the Laplacian
- Sec 5.1: Sturm-Liouville problems
- 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 6.5: Solving PDEs with the Laplace transform
- 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
- Sec A.1: Vectors, mappings, and matrices
- Sec A.2: Matrix algebra
- Sec A.3: Elimination
- Sec A.4: Subspaces, dimension, and the kernel
- Sec A.5: Inner product and projections
- Sec A.6: Determinant
Educator access is free. Student access costs \$14 to \$29 per term (depending on the choice of course, level of support, scale of adoption, and features included), and may be paid by students or institutions. Bookstores may purchase access codes as described here. Write to email@example.com for more details.
This is a multi-student license intended for use during instruction. You will be able to manage a section of students and monitor their progress. Student access is valid for the duration of the 5 month term.