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Notes on Diffy Qs (Lebl)
Edfinity is supported by the National Science FoundationInfo
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 asis, or customize at any level. You can mixandmatch 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 problemsolving 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 atrisk students for timely intervention.
 Analytics: Drill down into student performance and identify problematic or difficult topics.
 Flipped classroom: Assign preclass assignments. Save precious class time for discussions.
 Emporium classes: Use Edfinity for individual/group work for large enrollment sections in labs.
Interactive, algorithmic problems
Algebraic, graphing, open response; randomized variants, hints, and tips
Algebraic, graphing, open response; randomized variants, hints, and tips
Adaptive learning and personalization
Each student receives personalized support
to fill learning gaps.
Each student receives personalized support
to fill learning gaps.
Corequisite course structures
Use prebuilt corequisite content,
or create your own.
Use prebuilt corequisite content,
or create your own.
LMS integration and accessibility
Connect to your LMS in minutes. VPAT here.
Connect to your LMS in minutes. VPAT here.
WeBWorKcompatible
Import and author WeBWorK problems.
Import and author WeBWorK problems.
Syllabus
 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 4.10: Dirichlet problem in the circle and the Poisson kernel
 Sec 4.1: Boundary value problems
 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: SturmLiouville 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
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