Notes on Diffy Qs
Educator EditionSupported 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.|
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.
This course includes algorithmic WeBWorK problems, with support for randomized variants, algebraic expressions, and mathematical objects such as vectors, matrices, intervals, and complex numbers.
- 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
This is a multi-student, educator license. You will be able to manage an online course with your students, and monitor their progress.