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Detailed notes covering week 2 of classes
Notes covering topics from 2.6 to 2.9
These notes cover topics 2.9 and 6.1 with a lot of examples
This is an original study guide that briefly covers the main ideas from sections 2.2-2.4, 2.6, 2.7, 2.9, 7.3-7.5. Please do not rely solely on this study guide, tis only an aid
Covers the last few sections before midterm 1
Cover 8.4 and 8.5
These notes cover everything from 8.5 to 9.4
These notes cover everything from 7.6 to 9.1
Covers the last few sections for chapter 9 and 4.3
Cover section 4.1 and review concepts for the exam
These notes cover the lectures we did in class from April 25 to the 29th
Notes cover sections 9.9 and 4.5
Cover what we did the last week will plenty of practice problems for review for the final exam
This reviews the key concepts, definitions, and propotions in each section the final exam will cover
This is week one of notes for MATH340, mostly calculus review but we do start getting into the differential equations portion. NOTE: THIS IS IN CURSIVE. IF YOU CANNOT READ CURSIVE, YOU MAY HAVE A DIFFICULT TIME WITH THIS. That being said, it's very neat cursive so if you want to try to decipher it, it should be fairly easy. And since this note packet is free, I suggest you try to read it now.
These notes pick up from where I left off in week one. If you haven't downloaded those, they're free on my page. NOTE: these are in cursive. Do not buy if you can't read cursive. It is neat, however, so I believe it's readable even to those who don't know cursive.
These cover the second case of air resistance (when it is proportional to the square of the velocity), linear differential equations, and the beginning of exact differential equations.
These notes cover exact differential equations and whether or not a solution exists/is unique. Note: I couldn't make it to class Friday so those notes are left out. They should be included in my next set of notes.
These notes cover Week 5 notes on asymptotically stable/unstable equilibrium points, modeling with population, and the beginning of vectors and matrices.
These notes cover matrix operations, row reduction, reduced row echelon form.
Notes cover pre-requisites, such as partial fraction expansion, polynomial division, and integration techniques, to the differential equations we know how to solve, to matrix algebra. NOTE: because it is required that this is up four days before the exam, inverses and bases of matrices are not on it.
These cover more matrix operations, bases, nullspace, etc. We had an exam so no class Friday. I've included my study sheet, the faded pencil marks on it are inconsequential.
These cover methods to find determinants and the beginning of systems of ordinary differential equations.
These cover finding and checking solutions to higher order differential equations using systems of equations, how to write them in systems of equations, theories on this topic, and eigenvectors/eigenvalues of a matrix.
These notes cover eigenvalues, eigenvectors, fundamental sets of solutions to matrix differential equations, general solutions, how to find generalized eignvectors
These notes cover qualitative observations of the graphs of solutions to differential equations such as saddle points, nodal sinks, nodal sources, spiral sinks, spiral sources, and centers. Also begins finding solutions to higher order differential equations.
These cover everything from determinants, eigenvalues, eigenvectors, fundamental sets of solutions, general solutions, IVP's, higher order differential equations, Wronksian to show linear independence. HOWEVER, it does not cover anything past 4.3 (solving higher order ODEs with systems of equations) in the book. There is still some material we have yet to cover although this study guide must be u
These notes cover modeling springs and spring problems as well as review for the exam that was Thursday.
Notes that cover the fundamental matrix, exponential of a matrix, and LaPlace transforms.
Although the study guide is cumulative, this study guide covers from exam 2 until the final. I've posted the other two study guides before this. If you need a review, you can take a look at those. Good luck!