Math 250a - Kennedy - Material on Final Exam
If sections are not listed below, it means we did not cover them and
so they will not be on the final.
Calculus book
7.1
7.2
Appendix B (complex numbers) : NOT ON FINAL
7.4 (Partial fractions):
Can be on final, but there will be no repeated linear or quadratic factors.
7.5, 7.6 (numerical integration):
Know how to do LEFT,RIGHT,MID,TRAP by hand (not SIMPSON).
Know orders of these methods and what order means
Don't need to know over/under estimates or extrapolation
8.1: no arc length problems on the final
8.2
8.4 : no problems involving center of mass
8.5 : You don't need to memorize unit conversions like 1 Newton = 2.2 lbs,
or physical constants like the density of water.
Differential Equations book
1.1
1.2
1.3 : No isoclines
2.1
2.2
2.3
2.4 existence/uniqueness theorem : NOT ON FINAL
2.5
2.6
3.1
3.2 : know scaling
3.3 (numerical solution of dif. eqs. ):
Know how to do Euler by hand, but not the other methods.
Know the meaning of order; orders of Euler, Huen, 4th order Runge-Kutta .
3.4
4.1
4.2
4.3
4.4
5.1
5.2
5.3 Bernouli equation : NOT ON FINAL
Software/calculators :
I will assume you have a program that draws slope
fields. The computers in the classroom will be on, so you can use the
program on the web, or you can use the calculator program if you prefer
a tiny display.
I will assume you have a calculator program or web program that
does numerical integration. It need not do all the different methods.