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# I need a book on differential equations watch

1. Here is the course overview

Second order differential equations.
Systems of differential equations – simple linear systems and matrix form/solution.
Difference equations – basic ideas of recurrence relations.
Modelling/scaling (brief) – dimensional analysis with simple examples.
Curve fitting – simple least squares for linear relations and power laws.
Partial Differentiation: definitions, implicit partial differentiation; total differentials; change of variables, Taylor’s theorem and two variables; stationary points, classification; contours.
Vector calculus: definitions and physical meaning of grad, div, curl.
Integration applications – area under curves, arc length, surface area and volume of revolution; double integrals – geometry, mass, moments of inertia, etc. (excluding transformation of variables); simple triple integrals.

At the moment, we are doing (or have just done) second order differential equations. I need a good book to help me with this because I find the lecturer's notes tough to understand. Also, I've tried some of the recommended books and they aren't very helpful.
2. Introduction to Ordinary Differential Equations by James C. Robinson is a fantastic book that I got a lot of use out of all the way through uni. Plus I've sat a module lectured by The Robinson and he's just a bloody swell guy who deserves your monies.
3. (Original post by gangsta316)
Here is the course overview

Second order differential equations.
Systems of differential equations – simple linear systems and matrix form/solution.
Difference equations – basic ideas of recurrence relations.
Modelling/scaling (brief) – dimensional analysis with simple examples.
Curve fitting – simple least squares for linear relations and power laws.
Partial Differentiation: definitions, implicit partial differentiation; total differentials; change of variables, Taylor’s theorem and two variables; stationary points, classification; contours.
Vector calculus: definitions and physical meaning of grad, div, curl.
Integration applications – area under curves, arc length, surface area and volume of revolution; double integrals – geometry, mass, moments of inertia, etc. (excluding transformation of variables); simple triple integrals.

At the moment, we are doing (or have just done) second order differential equations. I need a good book to help me with this because I find the lecturer's notes tough to understand. Also, I've tried some of the recommended books and they aren't very helpful.
It's not a book but:

http://tutorial.math.lamar.edu/Classes/DE/DE.aspx

Everything you need should be on there...they are essentially lectures notes but they are very, very good (your integration with arc length, double/triple integrals will be either in Calc 2 or 3).
4. (Original post by refref)
It's not a book but:

http://tutorial.math.lamar.edu/Classes/DE/DE.aspx

Everything you need should be on there...they are essentially lectures notes but they are very, very good (your integration with arc length, double/triple integrals will be either in Calc 2 or 3).
This stuff is excellent. Thank you.

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Updated: January 28, 2010
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