Physics exam 1 review (ch 1, 2, 3, 4)
This download is a 10 page study guide with everything you need for exam 1. It includes an in depth outline for each chapter (1, 2, 3, 4) with information from the book and in class notes. At the end there is a series of practice questions for each chapter as well as every equation you will need outlined in the beginning of the guide. Good luck and happy studying!
Differential Equations Math 301 notes
Handwritten notes for MATH 301: Differential Equations. Topics include: definitions terminology , separable equations, first order linear equations, Euler\'s method, non-homogeneous equations,Cauchy-Euler equations, variation of parameters, and the Laplace Transform.
Linear Differential Equation - Solved Examples
This PDF contains a solved examples of Linear Differential Equation. There are different methods used in this document. Methods are:
1. Complementary Function
2. Short cut method (Finding Particular Integral)
3. General Method
4. Euler\'s/Cauchy\'s Form
5. Legendre\'s Form
6. Method of Variation of Parameter
If you study from this PDF. You will be able to solve any Linear Differential Equation.
Rough lecture notes from 1st year engineering degree. Includes notes on separating variables, second order differential equations, principles of differentiation
PARTIAL DIFFERENTIAL EQUATION pdf
This is a simple to understand PDE notes that i have written to make sure that those students who take mathematics should have just buy the notes and find me for more complex but easily explained higher level mathematical units
The document provides in depth knowledge on differential equations. This level of understanding is expected from first year bachelor students in science programme.
This notes discuss in detail about Existence and Uniqueness of Solutions. It contains method of successive approximation, Picards Iteration Method, Picards Theorem, Steps for proving Uniqueness, First Order Linear Differential Equations etc..
30. More partial differential equations
Bessel equation and looking at Frobenius solution when using cylindrical coordinates. Show how nu is a solution a Frobenius solution to the Bessel Equation. Finding a recurrence relation for the coefficients of the Bessel functions. Plotting Bessel functions of the first kind. Generalising the Bessel series solution of first kind of order nu where half integers can used.
33. More partial differential equations
Looking at the wave equation and solving using polar coordinates for a wave propagating on the surface of a circular pool. Special case with no angular dependence and finding solutions.