Homework Assignments
Math 131       Spring 2016

• 5.5: 3,4,9,10,11,17,21,35
• 5.8: 1,3,5,7,9,11,27,28,31,32
  (Compare p=1 in #32 to problems 17,19; convergence is delicate near integrand 1/x.)
  
  
• 6.4: 1,3,5,13,17
  
  
• 7.1: 1,3,4cd,5abc,7,8,9,13,15,15,17
• 7.2: 1,4,5,11,13,14
  (In 4 and 5: you have y'=g(y): you can skip the part of the phase plot which is graphing g -- just get the arrows and eq. inputs right.)
• 7.3: 1,3,5,12,18,26
• 7.4: 1,2,9,14,21,29,37,39b,43
• 7.5: 1,5,7,9,11,13,14,15,16,19,23
  (In 7.5 and elsewhere: when you get to choose a formula involving a constant, and you know the sign: write a letter to mean a positive constant, and put a negative sign before that letter when you want to represent a negative number. That makes it easier to keep track of the meaning of the constants.)
• 7.6: 1,2,6,7,10,11,23ab,24,27ac
  
  
• Sec. 4.5 won't be covered, due to weather cancellation
  4.5: 1-7,9,11,15,17-20, 23, 25a
  (in 17-20: you won't be tested on graphing those first ten terms; do what seems worthwhile for your understanding)
  
  
• 8.1: 1,3,5,6,11,34,39ab
• 8.2: 1-5,7,11,15,19,23,27,30d,33
• 8.4: 3cdf,4eh,5cd,7,12
• 8.6: 1ae, 2abf, 3, 10a. 15, 23, 25, 29, 35
• (Exam 1)
• 8.5: 3ab,5a,9-11,13,15,19
• 8.6: 31, 33
• 8.7: 1ac, 2ab, 3a, 4a, 9ac, 10a, 11abc, 13ab, 27
• 8.8: 1,3,11,21,23; especially: 37-39
  
  
• 10.2: 3,5,7,11, 15, 17, 24
  Also, in problems 10.1: 15,17,19,21 compute the characteristic polynomial and from it determine whether the equilibrium at the origin is stable or unstable, and whether it is a saddle, a node or a spiral. (You can use Theorem 15 or Theorem 16 on page 649 to determine the stability.) Then check your answers against the graphs in the section with answers for odd numbered exercises.
  
  
• 9.1: 1,2,3,8,9,11,13, 21,23,25,28,29,33-36,41,43,45,49,53,61
• 9.2: 1,3,9,11,13,17,21,23,37,41,43,
• 9.3: 1,5,7,9,11,15,17,19,20,21; also,
  "Matrices and Derivatives" handout: sample problem
• 9.4: 1,3,57, 9,11,13,17 (in 13 and 17, you can alternately use implicit differentiation directly rather than substituting into equations 4 and 5), 21, 23, 25
  "The Chain Rule" handout: sample problem
• 9.5: 1,5,7, 9,11,19, 21, 31
• 9.6: 1-5, 7,9,11,23,25,29,37,40
  
  
• 12.1: 1-9,11,12,14,16-19,22, 32,33,36,41
• 12.2: 1-5,7,8,11,13,15,17,29,33,39-41,43,45,47,49,63,65
• 12.3: 1,5,7,9,21,23,29,30,31,33,35,40,43,49,57,59
• 12.4: 1-3,5,17,21,28,29,30,37,45,51,52-54,56
• 12.5: 1,3,6,9-11,14,20,21,23,25,29,31,33,43,49,57-59,62,64,71
  
  
• 13.1: 1,3,5,9,11
• 13.2: 1,3
• Homework problems in the "Random samples ... " packet and the Pilachowski Central Limit Theorem packet