Math 141H - Calculus II (Honors)


Lecturer: Larry Washington (lcw@math.umd.edu)
Office: Math 4415, Phone: 301-405-5116
Office Hours: Monday 1-2, Friday 11-12 .
Course Location:Math 1308
  • Syllabus

    Homework:

    Assignment 1:

  • 6.5: 1,3,5,13,15,17,19,21,27,28,29,30,33,35,37,39,41,43,45,54
  • 6.2: 1,3,5,7,11,13,15,25,32
  • 6.3: 3,13,15,22,39,42
  • Quiz: Wednesday, Sept. 10

    Assignment 2:

  • 6.4: 13, 19, 30, 31, 46
  • 6.6: 5, 7, 9, 11, 19, 27, 29, 37, 41, 46, 47
  • 6.7: 3, 5, 7, 9, 19, 20
  • Quiz: Wednesday, Sept. 17

    Assignment 3:

  • 6.8: 1,3,5,7,9,11,13,15
  • 7.1: 1,3,5,7,9,11,29,31,33
  • 7.2: 1,3,5,7,9,15,17
  • Quiz: Wednesday, Sept. 24

    Assignment 4:

  • 7.2: 1,3,5,7,9,15,17,49,51,53
  • 7.3: 3,5,9,11,13,15,27,29,31
  • Quiz: Wednesday, Oct. 1

    First Midterm: Friday, Oct. 3

    Assignment 5:

  • 7.4: 1,5,7,9,13,15,27,29
  • 7.6: 1,3,5,7,29,33
  • 7.7: 1,3,5,7,9,25,27,29,71,73
  • Quiz: Wednesday, Oct. 15

    Assignment 6:

  • 8.1: 1,3,5,7,17,47,51
  • 8.2: 1,3,7,31
  • 8.3: 1,2,3,5,28,29
  • (Answers: 2: (2/3) (5^(3/2) - 2^(3/2)) ; 28(b): (3/2)r and 6r)
  • 8.4: 1,3,7
  • Quiz: Wednesday, Oct. 22

    Assignment 7:

  • 9.1: 7,9,11,15,19,27
  • 9.2: 15, 17, 21, 45, 53, 55
  • 9.3: 9,16,17,23,41
  • 9.4: 15,17,19,21,25,27,31,41,45,47,56,57,59
  • Quiz: Wednesday, Oct. 29

    Assignment 8:

  • 9.5: 1,3,5,7,8,9,11,13,15,25,29,31,35,41
  • Quiz: Wednesday, Nov. 5

    Second Midterm: Friday, Nov. 7

    Sample Questions Solutions

    Assignment 9:

  • 9.6: 3,5,7,9,11,13,15
  • 9.7: 1,3,5,7,15,17,19,23,25,29
  • 9.8: 1,3,5,7,9,11
  • Quiz: Wednesday, Nov. 19

    Assignment 10:

  • 9.9: 1,3,5,7,9,11,23,29
  • Complex handout: 1-6
  • Answers: 2. (a) i sqrt(27/4), -i sqrt(27/4)
    (b) (1 + i sqrt(3))/2, (1 - i sqrt(3))/2
    (c) (-3 + i sqrt(3))/2, (-3 - i sqrt(3))/2
    3. zw: r= sqrt(8), theta = 19 pi/12
    z/w: r=1/sqrt(2), theta = 23 pi/12
    4. -20z^4 + 6z - 2 - 1/z^2
    5. (a) i, -1, -i, 1, i
    (b) (1+i)/2, i/2, (-1+i)/4, -1/4, (-1-i)/8
    6. (a) R= infinity (b) R=1 (c) R= 1/sqrt(2) (d) R= 1/sqrt(3)
  • 10.1: 1,3,5,10 (answer: y=1/x), 11, 12 (answer: x^2-y^2 =1)
  • Quiz: Wednesday, Dec. 3

    Third Midterm: Friday, Dec. 5

    Sample Questions Solutions

    "Assignment 11" (no quiz on these)

  • 10.4: 9, 13, 17, 25, 27, 31

    Review Session (by Jeff Adams): Thursday, Dec. 11, 4-6pm, HJ Patterson, Room 0226

    Old exams

    Final Exam: Monday, Dec. 15, 1:30-3:30, Room 0101

    Answers to Fall 2002 Math 141 Final (not the 141H final):

    1.(a) 9/2 (l'Hopital) (b) (pi/4)-(1/2) (by parts)
    2. (a) (5 ln sin x + 5x cot x)(sin x)^(5x) (take ln y, then differentiate to get y'/y = ...)
    (b) y=2/(1-ln(1+x^2))
    3. (-1/9)sqrt(x^2 + 9)/x
    4. -1/(x+1) + 1/(x-1) + (-1)/(x-1)^2 (note that x^2-1 = (x+1)(x-1))
    5. a real number, namely pi/4 (complete the square)
    6. Ignore
    7. Done in class
    8. (a) integral from -1 to 1 of (pi)(4-x^2) dx (disc method)
    (b) 3/5 (it's a geometric series with ratio -1/4)
    9. -65/144 (3 terms)
    10. R=2
    11. (a) converges (take absolute values, then compare with sum 1/n^2) (b) diverges (integral test)
    12. sum for n=0 to infinity of (-1)^n x^(6n+1) / ((6n+1)((2n)!))
    (note that f'(x) = cos(x^3), which can be expanded into a Taylor series. Then integrate)