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