- Differential Equations Text Pdf
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- Differential Equations Summary Pdf
Below are the lecture notes for every lecture session along with links to the Mathlets used during lectures.
LEC# | TOPICS | RELATED MATHLETS |
---|---|---|
I. First-order differential equations | ||
1 | Direction fields, existence and uniqueness of solutions (PDF) | Related Mathlet: Isoclines |
2 | Numerical methods (PDF) | Related Mathlet: Euler's method |
3 | Linear equations, models (PDF) | |
4 | Solution of linear equations, integrating factors (PDF) | |
5 | Complex numbers, roots of unity (PDF) | |
6 | Complex exponentials; sinusoidal functions (PDF) | Related Mathlets: Complex roots, Complex exponential |
7 | Linear system response to exponential and sinusoidal input; gain, phase lag (PDF) | Related Mathlet: Trigonometric identity |
8 | Autonomous equations; the phase line, stability (PDF) | Related Mathlet: Phase lines |
9 | Linear vs. nonlinear (PDF) | |
10 | Exam I | |
II. Second-order linear equations | ||
11 | Modes and the characteristic polynomial (PDF) | |
12 | Good vibrations, damping conditions (PDF) | Related Mathlet: Damped vibrations |
13 | Exponential response formula, spring drive (PDF) | Related Mathlet: Harmonic frequency response: Variable input frequency |
14 | Complex gain, dashpot drive (PDF) | Driver finder pro crack keygen & license key. Related Mathlet: Amplitude and phase: Second order II |
15 | Operators, undetermined coefficients, resonance (PDF) | |
16 | Frequency response (PDF) | Related Mathlets: Amplitude and phase: Second order II, Amplitude and phase: First order, Amplitude and phase: Second order III |
17 | LTI systems, superposition, RLC circuits (PDF) | Related Mathlet: Series RLC circuit |
18 | Engineering applications (PDF) Video of the guest lecture by Prof. Kim Vandiver | |
19 | Exam II | |
III. Fourier series | ||
20 | Fourier series (PDF) | Related Mathlet: Fourier coefficients |
21 | Operations on fourier series (PDF) | Related Mathlet: Fourier coefficients: Complex with sound |
22 | Periodic solutions; resonance (PDF) | |
23 | Step functions and delta functions (PDF) | |
24 | Step response, impulse response (PDF) | |
25 | Convolution (PDF) | Related Mathlets: Convolution: Accumulation, Convolution: Flip and drag |
26 | Laplace transform: basic properties (PDF) | |
27 | Application to ODEs (PDF) | |
28 | Second order equations; completing the squares (PDF) | |
29 | The pole diagram (PDF) | Related Mathlets: Amplitude response: Pole diagram, Poles and vibrations |
30 | The transfer function and frequency response (PDF) | |
31 | Exam III | |
IV. First order systems | ||
32 | Linear systems and matrices (PDF) | |
33 | Eigenvalues, eigenvectors (PDF) | Related Mathlets: Linear phase portrait: Matrix entry, Matrix vector |
34 | Complex or repeated eigenvalues (PDF) | Related Mathlet: Linear phase portrait: Matrix entry |
35 | Qualitative behavior of linear systems; phase plane (PDF) | Related Mathlets: Linear phase portrait: Matrix entry, Linear phase portrait: Cursor entry |
36 | Normal modes and the matrix exponential (PDF) | |
37 | Nonlinear systems (PDF) | |
38 | Linearization near equilibria; the nonlinear pendulum (PDF) | |
39 | Limitations of the linear: limit cycles and chaos (PDF) | Related Mathlet: Vector fields |
41 | Final exam |
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Differential Equations Text Pdf
This is one of over 2,200 courses on OCW. Find materials for this course in the pages linked along the left.
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Differential Equations Demystified Pdf Free
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Differential Equations Summary Pdf
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Note: If you're looking for a free download links of Elementary Differential Equations, 10th Edition Pdf, epub, docx and torrent then this site is not for you. Ebookphp.com only do ebook promotions online and we does not distribute any free download of ebook on this site. A First Course in Differential Equations with Modeling Applications 11th Edition. Subscribe and Save with Cengage Unlimited This title — and thousands more — are available with a Cengage Unlimited subscription. The more Cengage courses you take, the more you save. Cengage Unlimited is currently available in the US only. Access to Cengage Unlimited $119.99. Lectures Notes on Ordinary Differential Equations (Veeh J.A pdf) PDE From a Probability Point of View(Bass R.F pdf) Analysis Tools with Applications and PDE Notes: Entropy and Partial Differential Equations(Evans L.C pdf) A PDE Primer (Showalter R.E) Partial Differential Equations of Mathematical Physics(Symes W.W pdf).
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