These hand written lecture notes have been scanned using the mobile phone app Adobe Scan. The textbook is Edwards, Penney, Calvis DEs and LinAlg (4th edition) and its section numbers name the lecture files. Supplementary details from PDF notes and Maple worksheets are found at the homework log page. They are intended to be explained in the classroom setting, and without bob's verbal explanation, should be taken as a guide to the key ideas of each section which should not subsitute for reading the textbook.

- 1-1a-odecheck.pdf DEs: Differential Equations: how to state them and "check" a solution
- 1-1b-DEs-Inits.pdf DEs: Differential Equations: initial conditions
- 1-2-intDE.pdf First order DEs independent of the unknown: Integration = solving DE
- 1-3-dirfields.pdf Direction fields for first order DEs and complications
- 1-4a-sepDEs.pdf Separable first order DEs
- 1-4b-exps.pdf Exponential behavior
- 1-5a-linear1DEs.pdf Linear 1st order DEs
- 1-5b-linear1DEs-complications.pdf Linear 1st order DEs: complications
- 1-5c-linear1DEs-mixing.pdf mixing tank problems
- 2-1a-logistic.pdf Logistic Equation
- 2-1b-popmodels.pdf Population models
- 2-3-accmodels.pdf acceleration models
- 2-4-euler.pdf Euler's method for numerical approximation of solutions
- 3-1-linsyseliminationDEs.pdf linear system elimination, high school style, linear IVPs produce linear systems to solve
- 3-2-matrixrowreduction.pdf matrix row reduction to solve linear systems by elimination
- 3-3-rowreductionsoln.pdf Row reduction solution of linear systems
- 3-3b-chemlinalg.pdf balancing chemical reactions
- 3-4-matrices.pdf matrix operations
- 3-5-matrixinverse.pdf matrix inverses
- 3-6-determinants.pdf matrix determinants
- 4-1-linind.pdf the vector spaces R^n and linear independence
- 4-2-vectorspaces.pdf vector spaces and subspaces
- 4-3-span.pdf span etc
- 4-7-bases.pdf functions as "vectors"
- 4-7-functionvectors.pdf functions as "vectors"
- 5-1a-2ndorderlinear-intro.pdf 2nd order linear DEs: an intro
- 5-1b-2ndorderCCLHDEs.pdf 2nd order CCLH DEs
- 5-2-wronskians.pdf Wronskians and linear DEs
- 5-3-0-complexstuff.pdf coplex arithmetic and complex exponentials
- 5-3a-higherorderDEs.pdf higher order linear DEs and complex exponentials
- 5-3b-higherorderDEs-multiplicity.pdf higher order linear DEs and multiplicity
- 5-4-dampedharmonicoscillators.pdf damped harmonic oscillators
- 5-5-undeterminedcoeffs.pdf
- 5-6-ddho.pdf driven damped harmonic oscillators
- 5-6b-ddho-specialcases.pdf driven damped harmonic oscillators: special cases
- 6-1a-eigenvectors.pdf eigenvectors and eigenvalues
- 6-1b-eigenvectors-more.pdf eigenvectors and eigenvalues: more (linear independence, complex eigenvectors)
- 6-2-diagonalization.pdf diagonalization
- 6-2b-diaggeometry.pdf diagonalization geometry in the plane
- 7-3a-1storderDE-realeigen.pdf 1st order linear homogeneous DEs: real eigenvalues
- 7-3b-1storderDE-complexeigen.pdf 1st order linear homogeneous DEs: complex eigenvalues
- 7-3c-nonhom1storderDE.pdf nonhomogeneous 1st order linear homogeneous DEs, and extending eigevalue decoupling
- 7-3d-mixingtanks.pdf mixing tank problems
- 7-5a-massspringsystems.pdf mass spring systems
- 7-5c-2axels.pdf mass spring systems
- 7-5c-2axels.pdf mass spring systems
- 7-5d-damping.pdf mass spring systems
- 7-5e-resonance.pdf resonance