Syllabus for M141, Spring 2004                            --Updated 12 January  2004
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 Mar 22 4.3 Exponential growth, Compound interest 21 Introduction to Course 24 4.3, 4.4 Compound interest, Exponential decay 23 1.4 Linear functions 26 5.1 Integration 26 2.1-2.2 Limits,  Continuity 29 5.2 Area and definite integrals 28 2.3-2.4 The derivative 31 5.3 Limits of sums 30 2.4-2.5 Differentiation via limits,  via formulas Apr 2 5.4 Properties of definite integrals Feb 2 2.6 Applications:  Physics,  Business 5 5.5 Integration by substitution 4 2.7-2.8 More diff'n formulas,  Chain rule 7 5.5 more integration by substitution 6 2.8-2.9 Chain rule,  Higher derivatives 9 6.1 Consumer's and producer's surplus 9 3.1 Role of first derivative,  Rel. max, min 12 Review 11 3.2 Role of second derivative 14 EXAM 3 13 3.3 Rational functions,  Asymptotes 16 6.3 Improper integrals 16 Review 19 6.4 Probability 18 EXAM 1 21 6.5 Expected value, Mean (to top of p.469) 20 3.4 Absolute maximum, minimum 23 6.6 Volume 23 3.5 Absolute max- min problems,  Business Applications 26 7.1-7.2 Partial derivatives 25 3.5-3.6 More problems,  Differentials 28 7.3-7.4 Higher order partial derivatives, Relative extrema, Critical points 27 3.7 Implicit differentiation,  Related rates 30 7.3-7.4 More Higher order partial derivatives, Relative extrema, Critical points Mar 1 3.7-4.1 Related rates,  Exponential functions May 3 7.7 Double Integrals 3 4.1-4.2 Exponentials and logarithms 5 Review 5 4.2 Logarithmic function 7 Review 8 Review 11 Exam 4 5:50 - 7:50 PM 10 EXAM 2 12 Teacher's Choice Spring Break: March 13-21