Math 128 Syllabus, Spring 2003

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Date:
Topic To Be Discussed
Read Before the Next Class
Due in Draft Form at Next Class, Final Form 2nd Class
2/7 Review: Calculus I concepts  Read 5.4, 5.5  1.
  • Finish Calc 1 Review Sheet
  • 5.1: 41-48
  • 5.2:  61, 63
  • 5.3: 55-58, 64
  •        
    2/10 5.4: Finding Antiderivatives
    5.5: Integral Aids
  • Review 5.5
  • Read 5.6
  •  2. 
  • p. S-10: 13, 17, 21, 23, 24, 25
  • 5.4: 2,4,8,17-19, 23, 27, 31, 37, 41, 51, 57, 69, 71, 77
  • 2/12 5.6: Approximating Sums: Riemann Sums , Integral as Limit
  •  Read 5.7
  •  3.
  • 5.5: 2-10, even (use tables)
  • 5.6: 22 (use numint), 25, 28, 29-31
  • 5.7: 27, 29,41 43
  • 2/14 5.7: Working with  Sums
  •  Read 6.1
  •  4. 
  • Work as many problems as you need in chapter 5 to make sure you are up on everything.
  • Review the TI-89 calculator functions for calculus using the St. Olaf review sheet
  •        
    2/17 6.1: Approximation: Estimates and Accuracy 
  •  Read 6.2
  • 5.
  •  5.7:  24, 26, 39, 45, 47, 48* (*means optional bonus problem)
  • 6.1: 1, 2, 5, 15-18
  • 2/19 6.2: Error Bounds for Approximating Sums
  •  Work examples in 6.2
  • 6. 
  • 6.1:  26, 61, 65, 66
  • 6.2: 1-6,
  • 2/21 6.2: Error Bounds again
    Interlude: Simpson's rule
  •   Read 6.3
  •  7.
  • 6.2: 8, 10, 11-18, 23-25,  33 
  •        
    2/24 6.3: Euler’s Method     8.  Due on Wednesday!
    2/ 26 6.3: Euler’s Method   Read 7.1  9.
    Finish Slope Field Worksheet to hand in on Friday
    6.3: 7, 8, 9, 10, 14
    7.1: 1
     
    2/28 7.1: Arc Length 
     
      10.
     7.1: 9,12, 15,23,37,38,39,44, 46
           
    3/3 7.2: Volumes and Slicing   Read 7.2  11.
     7.2:  1, 3, 4, 5, 6, 7, 9, 11, 13, 15 (note 17 removed)
    3/5 7.2: Volumes again    12.
     7.2:  19, 21, 22, 25, 29, 35, 45, 49
     3/7  7.3: Work,  Review for test    None



     
    3/10 TEST I  TEST I  
    3/12 9.1: Taylor Polynomials  Read 9.1: Concentrate on middle of  p. 495 to bottom of  499.  13.
    7.2:   44, 46-47 (use shells),  54, 55
    9.1:   3-6; Use Def on p. 499 to find Taylor polynomials of degree 5 for sin(x) and e^x, both based at x=0.
    3/14 9.2: Taylor’s Theorem     14.
    9.1:   8, 9, 14, 18, 19: For each, find polynomial by hand, using formula.  Then graph original function and P5 to see how closely it matches.
    (hint: for 14, for example, y1=cos(x); y2=taylor(cos(x), x, 5, pi/4).  Don't worry about the error part of the problems.  Keep all of your
    functions in  the calculator so that we can look at them in class.

           
    3/17 10.1: Improper Integrals   Read 10.1, 10.2 14.
    9.1:  8, 9 find max errors for each using formula from 9.2 and interval (-.5, .5) for each.
    9.2:
      2 , 12, 14

    10.1:   2, 4, 6, 8, 10, 13, 16

    3/19 10.2: Convergence, Limits    15.
    10.2:   2, 4, 6,  10, 12, 16, 19, 20, 23
    3/21 10.3: Improper Integrals and Probability    None
           
    3/22 - 3/30
    Spring Break
           
    3/31 11.1: Sequences and Limits 
     Read 11.1, 11.2
    Work through sequence/series calculator handout
     16.
    11.1:   1, 2, 6, 8, 9, 15, 19-21, 27, 31, 33, 34
    4/2 11.2: Infinite Series, Convergence and Divergence
     Read 11.3  17.
    11.2:   1, 3, 7,8,11-14, 16-17, 25, 31, 32, 53
    4/ 4  11.2: Infinite Series, Convergence and Divergence    18.
    11.2:   27, 28, 30, 33, 34, 37, 39, 41, 46-52
    Fractal sheet:  all
           
    4/7  11.3: Testing for Convergence
       19.
    11.3:  1, 3-6, 9-12, 17-20 (show convergence only on 17-20, not bounds), 21-24
    4/9  11.3: Testing for Convergence  Read 11.4  20.
    11.3:   2, 17-20 (find bounds this time), 31-36
    4/11
     11.3: Testing for Convergence

    21. All problems on Handout Sheet, not in book:
     11.2: , 1, 5, 7, 10, 25, 27, 29; 11.3: 3, 5, 11; 11.4:  5, 7, 9
           
    4/14 11.4: Absolute Convergence, Alternating Series   22.
     11.4:  1-4, 5, 8, 10, 12, 19, 21, 23
    4/16
    11.5 Power Series 


    4/18
    Test II - 7.2 Through 11.4
           
    4/21 
    Easter Break
    4/ 23 11.5: Power Series
    11.6: Power Series as Functions
       23.
    11.5:  1-11 odd, 27-31 odd
    11.6:  5-9 odd, 29, 31
    4/25 No Class Today. Find a time to meet with classmates to do:
    More Absolute Convergence

       24.
    Handout: In teams, work handout problems 7-25 odd
           
    4/28 11.7: Taylor Series    25.
    11.7:  1-7
    4/30  Chapter 11 Summary    26.
    pp. 602-603:  2-8 even, 10, 12, 16-32 every fourth, 40-48 every fourth (no endpoints), 56, 58, 59, 64
    5/2 Still series    None
           
    5/5 8.1: Integration by Parts     27.
    pp. 602-603:  18-30 every fourth, 38-46 every fourth (no endpoints)
    8.1:  10, 12, 37, 41,  44, 46, 47, 49

    5/7 3.4: Inverse Trig Functions    
    5/9
    8.3: Trigonometric Antiderivatives






    5/12
    Test III
    5/14 Review for Final    
    5/19
    Final Exam, 2:30-4:30 p.m. 

     
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