Math 131 - Schedule

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Schedule

Schedule

Tentative Schedule: Math 131, January 12 2008

Date Chapter  Description  Suggested problems from textbook
Jan 12   1.1-1.2 Background 1.1: 1-59, 1.2: 1-57 (as many as you need)
Jan 14 1.3 Rates of change and tangents 4-14
Jan 16 1.4 Limits of functions 1-9, 11-15, 29-35, 55-58

Jan 19 Martin Luther King day! (no class)
Jan 21 1.4 Upper bounds and the sandwich theorem 64-66, 74, 77, 78
Jan 23 1.5 The definition of limits 1-3, 7-10, 42

Jan 26 1.6 One-sided limits 1-3, 4, 8, 9-13, 19-24, 35-38
Jan 28 1.7 Continuous functions 1-4, 5-8, 15-26, 27-30
Jan 30 1.7 The Intermediate Value Theorem 33-40, 43, 46

Feb 2 Review pp69-70: 21-37, 57, 62-63
Feb 3 Exam I   (6:30 pm - 8:30 pm)
Feb 4 1.8 Limits and infinity 1-6, 11-15, 21-26, 27-32, 47-48, 59-62
Feb 6 2.1 Derivatives at a point 11-18, 23-24, 33-34

Feb 9 2.2 The derivative function 1-6, 17-18, 27-30, 33-36
Feb 11 2.3 Differentiation rules 1-12, 17-21, 39-40, 49-51
Feb 13 2.4 Derivatives as rates of change 7-14, 22

Feb 16 2.5 Derivatives of trig functions 1-20, 27-28, 31-32, 43
Feb 18 2.6 Derivatives of exponential functions 1-20, 25-30, 37-46, 52
Feb 20 2.7 The chain rule 9-15, 23-60, 73

Feb 23 2.8 Implicit differentiation 1-10, 19-24, 25-28, 41-42
Feb 25 2.9 Derivatives of inverse functions 1-12, 21-24, 28-32, 37-38
Feb 27 2.10 Log functions 21-24, 25-26, 27-45, 71-82

Mar 2 Review
Mar 3 Exam II   (6:30 pm - 8:30 pm)
Mar 4 2.11 Derivatives of inverse trig functions 1-20, 21-34, 50
Mar 6 2.13 Linearization and differentials 7-14, 16, 19-22, 29-32

Mar 9 Spring Break! (no class)
Mar 11 Spring Break! (no class)
Mar 13 Spring Break! (no class)

Mar 16 3.1 Extremal values 15-22, 31-44, 45-51, 53, 57
Mar 18 3.2 The Mean Value Theorem 1-2, 5-8, 9, 13-16, 27, 33
Mar 20 3.3 Increasing/decreasing functions 1-32

Mar 23 3.4 Concavity and curve sketching 1-8, 9-16, 19-20
Mar 25 3.4 More curve sketching -> optimization 33-38, 43-44, 69
Mar 27 3.6 Applied optimization 5, 14, 18-25

Mar 30 3.7 l'Hopital's rule 11-20, 41, 46, 47-52, 58
Apr 1 3.9 Hyperbolic functions 17-30, 45, 47
Apr 3 3.8 Newton's method 1-9

Apr 6 Review pp237-239: 1, 3, 4-6, 7-8, 10-11, 14, 17, 18,
29-34, 49-50, 55-58, 74, 77, 81, 87-90
Apr 7 Exam III   (6:30 pm - 8:30 pm)
Apr 8 4.1 Antiderivatives 1-70 (as many as you need from each section)
83-84, 85-89
Apr 10 4.2 Areas - estimating with finite sums 1-7, 9, 10

Apr 13 4.3 Areas - limits of sums 1-16, 35-40 (set up limits only, don't evaluate)
Apr 15 4.4 Riemann sums and the definite integral 1-8, 9-12, 15-24, 39-42, 52, 54
Apr 17 4.5 The Fundamental Theorem of Calculus 1-11, 19-29, 33, 35-36

Apr 20 4.6 Integration by substitution 1-54
Apr 22 Review and/or additional topics
Apr 24 Review pp301-305: 1-23, 25-28, 43-44, 123; 51-122 are also good practice

May 1 Final exam   (10:30 am - 12:30 pm)

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