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Created by:
Last updated:
December 23, 2022
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
This course covers the same material as 18.03 with more emphasis on theory.
Topics include first order equations, separation, initial value problems, systems, linear equations, independence of solutions, undetermined coefficients, and singular points and periodic orbits for planar systems.
Course Curriculum
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- Modeling and Terminology Unlimited
- Linear Differential Equations Unlimited
- Existence and Uniqueness of Solutions: Uniqueness Unlimited
- Existence and Uniqueness of Solutions: Picard Iterates Unlimited
- Extension of Solutions Unlimited
- Qualitative Analysis Unlimited
- Approximate Numerical Solutions Unlimited
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- Homogeneous 2nd Order Linear ODE’s with Constant Coefficients Unlimited
- Some Instructions on Plotting Functions in MATLAB® Unlimited
- Inhomogeneous 2nd Order Linear ODE’s Unlimited
- Theory of 2nd Order Linear and Nonlinear ODE’s Unlimited
- Extra Topics Unlimited
- Fourier Trigonometric Series Unlimited
- The Dirac Delta Function Unlimited
- Compartment Models and Introduction to Linear Algebra Unlimited
- Eigenvalues, Eigenvectors and Eigenspaces Unlimited
- Homogeneous Linear Systems: Real Eigenvalues Case Unlimited
- Theory of General Linear Systems of ODE’s Unlimited
- Supplementary Notes on Jordan Normal Form Unlimited
About the instructor
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1
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1520
Courses
1823
Students
Massachusetts Institute of Technology
