Syllabus for M141, Spring 2005                            --Updated 10 January  2005
    The following table shows the text sections covered in class each day, to within a one-day
    accuracy (the different classes may differ by a day). Before each exam, it will be announced
    which text sections it covers. (Text sections refer to Bittinger, Calculus, 8th ed.)

    Jan
    19
      Introduction to Course

    21/23 4.3, 4.4
    Exponential Growth, Compound interest, Exponential decay

    21
    1.4 Linear functions

    25 5.1  Integration

    24
    2.1-2.2 Limits,  Continuity

    28
    5.2 Area and definite integrals

    26
    2.3-2.4 The derivative

    30
    5.3 Limits of sums

    28
    2.4-2.5 Differentiation via limits,  via formulas
    Apr  1 5.4 Properties of definite integrals

    31
    2.6 Applications:  Physics,  Business

     4 5.5  Integration by substitution
    Feb
     2 2.7-2.8 More diff'n formulas,  Chain rule 

     6 5.5 More integration by substitution

     4 2.8-2.9 Chain rule,  Higher derivatives

     8 6.1 Consumer's and producer's surplus

     7 3.1 Role of first derivative,  Rel. max, min

    11   Review 

    9
    3.2 Role of second derivative

    13 EXAM 3  

    11 3.3 Rational functions,  Asymptotes

    15 6.3 Improper integrals

    14
      Review 

    18 6.4  Probability

    16
    EXAM 1  

    20 6.5  Expected value, Mean (to top of p.469)

    18
    3.4 Absolute maximum, minimum

    22 6.6 Volume

    21 3.5 Absolute max- min problems, 
    Business Applications


    25 7.1-7.2 Partial derivatives

    23 3.5-3.6  More problems,  Differentials

    27 7.3-7.4 Higher order partial derivatives, Relative extrema, Critical points

    25 3.7 Implicit differentiation,  Related rates

    29
    7.3-7.4 More Higher order partial derivatives, Relative extrema, Critical points

     28 3.7-4.1 Related rates,  Exponential functions
    May  2 7.7 Double Integrals
    Mar
     2 4.1-4.2 Exponentials and logarithms

     4   Review

     4 4.2 Logarithmic function

     6   Review

     7   Review 

    12
    Exam 4   11:20 AM - 1:20 PM

    9
    EXAM 2  

         

    11
      Teacher's Choice

         

        Spring Break: March 12-20