Math 285
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# Math 285 notes

## Fall 2017 - La Puma

The following notes are largely unedited and may contain occasional errors and frequent bad handwriting.

Notes of Aug 29 - 2.2 Separable equations
Notes of Aug 31 - 2.2 Separable equations

Notes of Sep 5 - 2.3 Linear equations
Notes of Sep 7 - 2.3 Linear equations, 2.4: Exact equations (we will mostly skip integrating factors)

Notes of Sep 12 - 2.5 Homogeneous equations
Notes of Sep 14 - 2.5 Bernoulli equations; Equations of the form y' = f(Ax + By + C)

Notes borrowed from a Calculus II class - 3.1 Modeling with first-order DEs; notes of Sep 19 - 4.1 Preliminary theory, nth-order linear DEs
Notes of Sep 21 - Preliminary theory, nth-order linear DEs

Notes of Oct 3 - 4.3 Linear, homogeneous equations with constant coefficients
Notes of Oct 5 - 4.3 Linear, homogeneous, constant coefficients equations (continued)

Notes of Oct 10 - 4.3 (loose ends), 4.4/4.5 Undetermined coefficients
Notes of Oct 12 - 4.4/4.5 Undetermined coefficients (continued)

Notes of Oct 17 - 4.4/4.5 Undetermined coefficients (with bonus pages)
Notes of Oct 19 - 4.6 Variation of parameters

Notes of Oct 24 - Review of Variation of parameters and undetermined coefficients

Notes of Oct 31 - 4.7 Cauchy-Euler equations
Notes of Nov 2 - 5.1 Mass and spring: free, undamped motion

Notes of Nov 7 - 5.1 Mass and spring: damped, driven motion
Notes of Nov 9 - 6.1 Power series, solution of a 1st order DE by power series

Notes of Nov 14 - 6.2 Power series solution of 2nd order DEs
Notes of Nov 16 - 6.2 Power series solution of 2nd order DEs (continued)

Notes of Nov 21 - 4.9 Systems of linear DEs by elimination

Notes of Nov 28 - 7.1 Definition of Laplace transform
Notes of Nov 30 - 7.1 Laplace transforms, 7.2 Laplace transforms of derivatives

Notes of Dec 5 - 7.2 Laplace transforms of derivatives

Last Updated: 12/07/2017
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