syllabus

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

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