Syllabus for M141, Spring 2006                            --Updated 6  January  2006
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 18 Introduction to Course 10 Teacher's Choice 20 4.2 Logarithms 20 1.4 Slope and Linear Functions 22 4.3, 4.4 Exponential Growth, Compound interest 23 2.1-2.2 Limits, Continuity 24 5.1 Integration 25 2.3-2.4 The Derivative 27 5.2 Area and definite integrals 27 2.4-2.5 Differentiation Via limits,  Via formulas 29 5.3 Limits of sums 30 2.6 Applications: Business 31 5.4 Properties of definite integrals Apr 3 5.5 Integration by substitution Feb 1 2.7-2.8 More diff'n formulas,  Chain rule 3 2.8-2.9 Chain Rule, Higher Derivatives 5 5.5 More integration by substitution 6 3.1 Role of first derivative,  Rel. max, min 8 3.2 Role of second derivative 7 Review 10 Catch-up day 10 Review 13 Review 12 EXAM 3 15 EXAM 1 14 6.1 Consumer's and Producer's Surplus 17 3.3 Rational Functions, Asymptotes 20 3.4 Absolute maximum, minimum 17 6.4 Probability 22 3.5 Absolute max- min problems,  Business Applications 19 6.5 Expected value, Mean (to top of p.469) 24 3.5-3.6 More problems,  Differentials 21 6.6 Volume 27 3.7 Implicit differentiation,  Related rates 24 7.1-7.2 Partial derivatives Mar 1 3.7-4.1 Related Rates, Exponential Function 26 7.3-7.4 Higher order partial derivatives, Relative extrema, Critical points 28 7.3-7.4 More Higher order partial derivatives, Relative extrema, Critical points 3 4.1 Exponentials May 1 7.7 Double Integrals 6 Review 3 Review 8 EXAM 2 5 Review