Math 202, Section 1: Calculus II

Fall 1998

Daily Schedule

Thursday 9/10: Homework due Tue 9/15 (you may hand in either of the following; because of the book problem this can be handed in later if you wish):

• Homework in the (correct) new 1997 brown-blue book:
  • 6.1 p. 404: 1,2,5,7,19,25,29,31
  • 6.2 p. 411: 16, 17, 24, 34, 40, 44, 51 (Note: Problem 17b doesn't seem to make sense.)
• Homework in the (incorrect) old preliminary edition:
  • 6.1: 1,2,4,9
  • 6.2: 17, 19, 21, 23, 34, 39

Tuesday 9/15: Homework due 9/18:

• 5.3, p. 375: 3abd
• 5.1, p. 353: 2a, 5abce (Note that part "a" in the book is mistakenly labeled as "b"), 6acdg

Thursday 9/17 (due Tue 9/22):

• 5.4, p. 384: 1, 9
• 5.5, p. 394: 1

Tue 9/22 (due Fri 9/25):

• 5.4, p. 385: 10
• 5.5, p. 394: 4,5,7,9 (do two ways if possible. You don't have to do every problem this way, but try one or two.)

Thurs 9/24: Introduction to Maple (worksheet)

Tue 9/29: Mountain Day!

Thurs 10/1:

• Quiz #1 on antiderivatives. (The score will not count.)
• Homework 8.2, p. 463 (due Tue 10/6): 1, 4, 5, 9, 12

Tue 10/6:

• Homework 8.2, p.463: 19, 21 (due Fri 10/9)
• Homework (to review material of quiz 1 and 2; optional): p. 411 25, 27, 29, 45, 47, (not 57--this is a method we haven't covered), 65

Thurs 10/8: Lab #2 (on numerical integration. It's numbered #2 since there's a lab #1 which you haven't seen yet)

Thurs 10/15:

• Quiz #2.
• Homework 8.3, p. 469: 1, 3, 5, 7. (Find the integral in problem 7 numerically by using a calculator or Maple (using the "int" command). Ignore the question about the error.)

Tue 10/20:

• Discussion of Chapter 7 and results of Lab #2. (Please hand in this lab soon, if you haven't done so already.)
• Homework (due Fri 10/23) p. 459, #7, and p. 469, #8.

Thurs 10/22: 8.5, p. 482: 1, 8abcd. Also the following problem:

A friend has borrowed $300 from you. She offers to pay either $280 now, or three yearly payments of $100 each, starting now. Assuming an interest rate of 6%, which is better (for you)?

Fri 10/23: Review for test.

Tue 10/27: Test #1 covering chapters 5.5, 6.1, 6.2, 7 (as covered in lab 2), 8.1, 8.2, 8.3.

Thurs 10/29: Homework due Tue 11/3:

• inverse tan function (section 3.8 in back of book). p. 742: 29, 31, 38. p. 411: 9, 37
• 9.1, p. 499: 1, 2, 4, 7, 9 (Rather than doing the midpoint rule for the last two problems, just check your answers using your calculator or Maple.)

Tue 11/3: Introduction to series. (We won't be following the book so closely here, but see 11.2). Homework

• p. 499 16, 19 (ignore the part about "check graphically"), 23, 24
• 11.2, p. 570: 9, 10, 11

Thurs 11/5: Hand back and discuss test. Alternating series (11.3; no homework for now). Cafe Clapp

Tue 11/10: Homework due Fri 11/13:

• p. 412: 70, 71, 72 (These are definite integrals which use u-substitution.)
• p. 593: 14 (find answer accurate to .1), 15, 16 (find answer accurate to .001)
• Find the Taylor series about the origin (Maclaurin series) of sin x and cos x. (See Section 11.7; please do this before our next class on Thursday, even though it's due Friday, so that we have a basis for discussion.)

Thurs 11/12: Homework for Tue: Find the Taylor series of sqrt(1+x), 1/sqrt(1+x), and tan x. (The last one to the x^3 term)

Fri 11/13: Homework due Fri 11/20: p. 499: 3, 6, 18, 20.

Tue 11/17: Homework due Friday:

• 11.5, p. 600: 1, 2, 4, 6, 21, 23 (Ignore the questions about endpoints.)
• How many terms are needed in the Taylor series of sin x to approximate it to within .1 over the interval -4.5 < x < 4.5? (This is a good problem to do with a graphing calculator.)

Thurs 11/19:

• Show using power series that (sin x)' = cos x, and that (cos x)' = -sin x.
• p. 608: 18, 19 (Do not use l'Hopital's rule to check your answer, but instead just try out some small values of x.)

Tue 11/24:

• Quiz #3 .
• e^ix = cos x + i sin x
• pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...
• Homework due Tue 12/1:
  • p. 607: 2, 3, 4
  • p. 616: 22

Tue 12/1: e^{i pi} = -1.

Thurs 12/3 Test #2

Tue 12/8: Homework 10.1, p. 524: 1, 2, 3, 9, 10, 12, 13

Thurs 12/10: All course work is due by Tuesday Dec 15 at 5 PM. Homework 10.1, p. 524: 24, 25, 26, 33

Tue 12/15: