MA 241 REVIEW SHEET FOR TEST 3

 

 

-Know the equation that represents exponential growth/decay in box 2 on p. 525.

      -Examples  New Book p. 527 #1,3,5,9 (O.B. p. 532 #1, 3,5, 9)

-Know the solution to the logistic equation on p. 534 box 4 (O.B. p. 539) (Remember in class we had K=C)

-Examples N.B. p.538 #1,7 (O.B. p. 543 # 1,7)

http://stewartcalculus.com/data/CALCULUS%20Concepts%20and%20Contexts/upfiles/3c3-2ndOrderLinearEqns_Stu.pdf

-Know how to find solutions to the auxiliary equation of axÕÕ+bxÕ+cx=0 for all 3 cases.

-Be able to solve initial and boundary value problems.

-Examples #1, 3,5,7,17,25

-Be able to find the complementary solution

-Find the particular solution using the Method of Undetermined Coefficients

-Use the complementary and particular to find the general solution

- Examples #1-15 odd (Note: #13 &15 donÕt require you to find the values of the coefficients)

http://stewartcalculus.com/data/CALCULUS%20Concepts%20and%20Contexts/upfiles/3c3-AppsOf2ndOrders_Stu.pdf

-Be able to use the techniques from 7.7 and 7.8 to solve problems involving springs.

-Examples 1,3,5.  Also be able to do easier versions of problems we worked in   class.  For instance, know what to do if you were given force in pounds, etc.     

-Be able to the limit of a sequence and justify your result

-Examples N.B. p. 562 1,3,5,7,9, 23,29(O.B. p. 565 #1, 3, 5, 7,11,13,19)

-Be able to determine if a given series is convergent

-Know when a geometric series is convergent and what it converges to p. 569

-Know about the Harmonic Series

-Know the Test for Divergence

-Examples N.B. p. 574 #1,7,9,17,31,33(O.B. p. 574 #1,7,9, 15, 27, 29)