MATH2000 Final: MATH2000 Notes
Document Summary
Summer semester 2013 / 2014 (written by a student, so obviously may contain errors / inaccuracies) Chapter 1 solutions of 1st order odes 4. Chapter 2 exact, 1st order odes 5. Chapter 3 linear, 2nd order, non-homogeneous odes - undetermined coefficients 7. Chapter 4 variation of parameters 9. Summary of ode techniques in chapters 1-4 and explicit solutions 10. Chapter 5 forced oscillations resonance, beats, practical resonance 11. A note on integration using hyperbolic functions 18. Chapter 7 introduction to double integrals and volume below a surface 23. Chapter 8 fu(cid:271)i(cid:374)i(cid:859)s theo(cid:396)e(cid:373), volu(cid:373)e (cid:271)(cid:455) la(cid:271)s 26. Chapter 9 integrals over general regions 29. Chapter 10 interchanging order of integration 32. Chapter 11 review of applications volume, area 34. Chapter 12 double integrals in polar coordinates 35. Sidenotes about the jacobian, solving a non-elementary integral, and the error function 38. Chapter 13 mass, centre of mass, and moments 39. Some speculation on a link between mass and volume 43.
