Syllabus for M141, Fall 2005                            --Updated 15 August  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.)

 Aug 22 Introduction to Course 14 4.3, 4.4 Exponential Growth, Compound interest 24 1.4 Slope and Linear Functions 17 5.1 Integration 26 2.1-2.2 Limits, Continuity 19 5.2 Area and definite integrals 29 2.3-2.4 The Derivative 21 5.3 Limits of sums 31 2.4-2.5 Differentiation Via limits,  Via formulas 24 5.4 Properties of definite integrals Sept 2 2.6 Applications:  Physics,  Business 26 5.5 Integration by substitution 5 Labor Day - No Class 7 2.7-2.8 More diff'n formulas,  Chain rule 28 5.5 More integration by substitution 9 2.8-2.9 Chain Rule, Higher Derivatives 12 3.1 Role of first derivative,  Rel. max, min 31 Review 14 3.2 Role of second derivative Nov 2 EXAM 3 4 6.1 Consumer's and Producer's Surplus 16 3.3 Rational functions,  Asymptotes 7 6.3 Improper integrals 19 Review 9 6.4 Probability 21 EXAM 1 11 6.5 Expected value, Mean (to top of p.469) 23 3.4 Absolute maximum, minimum 14 6.6 Volume 26 3.5 Absolute max- min problems,  Business Applications 16 7.1-7.2 Partial derivatives 28 3.5-3.6 More problems,  Differentials 18 Teacher's Choice 21-25 Fall Break-No Class 28 7.3-7.4 Higher order partial derivatives, Relative extrema, Critical points 30 3.7 Implicit differentiation,  Related rates 30 7.3-7.4 More Higher order partial derivatives, Relative extrema, Critical points Oct 3 3.7-4.1 Related rates,  Exponential functions Dec 2 7.7 Double Integrals 5 4.1-4.2 Exponentials and Logarithms 7 4.2 Logarithmic function 5 Review 10 Review 7 Review 12 EXAM 2 9 Review 14 Exam 4 9:00 (Rooms TBA)