Homework Assignments

NOTICE: The marker is disturbed by the number of messy assignments that are handed in. I have given him permission to dock marks if your assignment is not neat, orderly, and stapled. This does not apply to many of you, but for those students who are guilty of the aforementioned crimes, consider yourself warned.

Assignment #1, due September 17th (note that this has been extended from the 12th)

• §2.1: 3, 5
  
• §2.2: 7, 8, 12, 14, 19, 21, 28
• §2.3: 1, 2, 4, 12, 17, 18, 22, 25, 30, 35, 36, 43, 44, 48, 61

Assignment #2, due September 19th

• §2.5: 11, 12, 17, 18, 36, 40, 45, 48, 49
  
• §2.6: 3,8,18

Assignment #3, due September 26th

• §2.6: 25, 31, 57, 58
  
• §2.7: 6, 14, 19, 28, 33, 34, 51
• §2.8: 2 (just say if the derivative is positive, negative, or zero in #2), 25, 26, 36, 42, 49
• §3.1: 13, 17

Assignment #4, due October 10th

• §3.2: 5, 6, 23, 24, 54
  
• §3.3: 5, 12, 16, 23, 29, 31, 37
• §3.4: 1, 2, 3, 5, 8, 13, 124, 19, 24, 41, 44
• §3.5: 12, 21, 25

Assignment #5, due October 17th

• §1.6: 12, 22, 25, 58, 59, 60, 63, 67
• §3.5: 22, 40, 45, 46, 52, 61, 65
• §3.6: 2, 7, 8, 9, 21, 29, 30, 37
• §3.7: 13

Assignment #6, due October 24th

• §3.7: 3, 5, 7, 9, 20, 23
• §3.8: 4, 5, 7, 8, 12, 14, 16, 18
• §3.9: 4, 12, 13, 18, 22, 23, 24, 27, 39, 44
• §3.10: 10

Assignment #7, due October 31st

• §3.10: 2, 3, 11, 12, 18, 22 (ignore the sketching component of the question), 28, 31, 34, 36, 44
• Course notes §1: 1, 2, 3, 4, 5
• Course notes §2: 1, 2, 3
• §11.10: 5, 9 (ignore any mention of "radius of convergence"), 15, 19, 30, 34, 37, 59, 62

Assignment #8, due on the 8th of Never

• §11.10: 7 (ignore any mention of "radius of convergence"), 13, 17, 31, 33, 43, 55, 57
• §11.11: 13, 15, 21 (do not bother with (c))

Assignment #9, due on November 14th

• §4.1: 8, 33, 34, 39, 41, 52, 53, 57, 60, 75
• §4.2: 5, 12, 13, 15, 22 (a) and (b), 23, 26 (see note below), 30, 34
• §4.3: 33 (a) and (b), 42 (a) and (b)
• One more problem: Let f(x) be a continuous, differentiable function. Suppose f(x) satisfies the equation f(x) + f(-x) = 2f(x+1). Show that there is some number c so that f`(c)=0
• Note about #26 in §4.2: if we pretend that f(x) and g(x) are position functions (so that their derivatives give us velocity), then the question can be interpretted as saying:

  Suppose racecars f(x) and g(x) are in a race. They start at the same time, x=a, and race until x=b. They begin at the same place, f(a) = g(a), but the velocity of g(x) is always greater than the velocity of f(x) (in other words, the derivative of g(x) is greater than the derivative of f(x)). Show that at time x=b, the racecar g(x) has travelled a greater distance than f(x).

  That sounds believable, right?

Assignment #10, due on November 21th

• §4.2: 33 (hint: use corollary 7)
• §4.3: 1, 2, 9, 5, 6, 7, 11, 14, 15, 16, 17, 20, 25, 26, 27, 40, 44, 47, 50, 67, 68, 80, 81
• §4.5: 9

Assignment #11, due on November 28th

• Submit your online teaching evaluation ! This is your chance to let everyone know that I am a swell teacher! This is your chance to let everyone know that I am not to be trusted! You will determine whether I get an award for a job well-done OR whether I get another blemish on my permanent record! It's up to you!
• §4.5: 7, 12, 17, 19, 23, 28, 31, 35, 37, 48, 49, 56, 59, 65, 67, 68
• §4.7: 11, 13, 19, 24, 25, 30, 31, 35, 37, 46, 49, 65, 67
• §4.8: 9, 11
• §4.9: 59

Math 180-111