DE and Linear Algebra Manuscripts F2007

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1. Exponential Modeling manuscript
   PDF Document (34 pages, 350k)
2. Direction fields manuscript
   Direction fields (typeset, 11 pages, pdf)
3. Computing and Existence manuscript
   Picard-Lindelof and Peano Existence theory (9 pages, pdf)
4. Separable Equations manuscript
   Separable Equations (typeset, 9 pages, PDF)
5. Linear First Order Differential Equations manuscripts
   Linear DE part I (Integrating Factor Method), (typeset, 8 pages, pdf)
   Linear DE part II (Variation of Parameters, Undetermined Coefficients), (typeset, 7 pages, pdf)
6. Verhulst Logistic Equation manuscript
   Verhulst logistic equation (typeset, 5 pages, pdf)
7. Kinetics manuscript
   Kinetics, falling bodies, projectiles (typeset, 16 pages, pdf)
8. Phase line and bifurcation manuscript
   PDF Document (6 pages, 161k)
9. Science and Engineering Applications manuscript
   Science and Eng Applications, Torricelli law (typeset, 15 pages, pdf)
10. Numerical DE manuscript
    PDF Document (19 pages, 220k)
11. Numerical DE maple coding hints
    TEXT Document (1 pages, 2k)
12. Linear Algebraic Equations manuscript
    Linear algebra, no matrices, (26 pages, pdf)
    Linear algebra, no matrices, DRAFT 12Feb2007(typeset, 38 pages, pdf)
13. Vector and matrix manuscript
    PDF Document (11 pages, 113k)
14. Matrix Equations manuscript
    PDF Document (6 pages, 92k)
15. Determinants and Cramer's Rule manuscript
    PDF Document (11 pages, 140k)
16. Independence, Rank, Dimension manuscript
    PDF Document (17 pages, 180k)
17. First and Second order DE manuscripts
    First order constant coefficient recipe + theory + variation of parameters and undetermined coefficients (PDF 11 pages)
    Second order constant coefficient recipe + theory (PDF 7 pages)
    Second order variation of parameters (PDF 7 pages)
    Second order undetermined coefficients (PDF 8 pages)
18. Higher order equations manuscript
    Document on Higher order linear differential equations. Higher order recipe. Higher order undetermined coefficients. (9 pages pdf)
    History of undetermined coefficients, Kummer's method, Table method (2k text)
19. Mechanical oscillations and Resonance manuscript
    Document on unforced mechanical oscillations (8 pages pdf)
    Document on forced mechanical oscillations (8 pages pdf)
    Document on resonance (7 pages pdf)
20. Eigenanalysis and Fourier's Method manuscript. Updated S2006.
    Eigenanalysis-I manuscript F2007 (19 pages, pdf)
    Eigenanalysis-II manuscript F2007 (31 pages, pdf)
21. Differential systems examples and theory, manuscript. Updated F2005.
    DE systems manuscript F2005 (PDF 66 pages, 909k)
22. Laplace transform manuscript
    PDF Document (34 pages, 300k)
23. Heaviside coverup method manuscript
    PDF Document (4 pages, 86k)