Math 131	Grinnell College	Fall, 2012

Section 1: MWF 8:00-8:50, T 10:00-10:50 (Science 3821) Section 4: MTWF: 1:15-2:05 (Science 3821)	Calculus I

Assignment/Lab Index

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Unless otherwise specified, all references for suggested and required problems are to James Stewart, Calculus, Sixth Edition, Brooks/Cole Publishing, 2007-2008; follow the links below for supplemental problems and links.

Notes on Collaboration

The course syllabus states,

Collaboration is allowed on laboratory exercises, group assignments, required problems, and "real" problems; but collaboration is NOT allowed on tests or the final exam.

In particular, this means that you may work in groups of two or three on labs, group assignments, required problems and "real" problems. However, you are reminded All academic work at Grinnell College must follow standard academic practice regarding quotation, paraphrase, and citation. Grinnell's Student Handbook provides basic guidelines. For this course, academic honesty requires the following practices:

If a group of two or three people work together on a lab or assignment, the group should turn in one written report, and all names in the group must appear at the top of the first page.
If a student talks to someone else about on an individual problem (but this is not part of a 2-3 person group), then the assistance should be cited in a statement at the end of the problem. For example, one might write, "I talked about the solution to this problem with the Director of the Math Lab", or "Mr./Ms. ---, a tutor in the Math Lab, led me to Steps 3 and 4 in this solution".
If a student finds information about a problem in a book or online, the source of that information must be cited. This requirement includes material taken directly from the textbook.
If a student quotes from someone else, from a book, or from an online source, then normal rules of citation apply. That is, the material must be presented either with quotation marks or via a block quote, and a full citation must be given.

Assignments

Required problems and labs are due at the start of class on the days indicatd. Work turned in late is subject to a penalty of 33% per class day. For example, work turned in at the end of a class (rather than at the start of the class) is considered late and subject to a penalty of 33%.

Required textbook problems and required "Real" problems should be organized by section. Within a section, problems should be placed in problem order.

Due Date Suggested Problems Required Problems Required "Real" Problems Required Lab Reading
for Day Class Themes and Notes

Friday,
Aug. 31 Diagnostic Tests A, B, C, D (pp. xxiv-xxviii) Ch. 1 Motivation; Preliminaries; Intro. to Limits

Monday,
Sept. 3 1.1(1,3,5,7,9,25,57,58), 1.2(3,15,53), Ch1-conc(odd), Ch1-rev(3,9) Ch. 1 Lab on Zooming In

Tuesday,
Sept. 4 pp. 4-6,
Sec. 2.1-2.2 Tangent and Velocity Problems; Limit of a Function

Wednesday,
Sept. 5 2.1(1,5,7), 2.2(5,6,9,13,15) 2.1(1,6,7), 2.2(4,8,16) Sec. 2.3 Calculating Limits

Friday,
Sept. 7 I.(8,11,14,17,18) Lab on Zooming In Sec. 2.4-2.5 Limits and Continuity

Monday,
Sept. 10 2.3(7,9,11,15,17,23,37,59), 2.5(3,7) 2.3(2,10,18,20,58), 2.5(8) Sec. 3.1-3.2 Derivatives; Rates of Change

Tuesday,
Sept. 11 Group Assignment on Limits and Tangent Lines

Wednesday,
Sept. 12 2.4(3,11), 3.1(3,5,9,15,17,25,45), 3.2(3,19,21,25,39,41),
Ch2-rev-exercises(1-15odd) 2.4(12), 3.1(4,14,22,46), 3.2(12,20,24,40),
Ch2-rev-exercises(4,6) Sec. 3.3 Differentiation Formulas

Friday,
Sept. 14 II.(1,2,5,6,7) Group Assignment on Limits and Tangent Lines Sec. 3.3 Differentiation Formulas

Monday,
Sept. 17 3.3(5,9,13,17) 3.3(2,8,50) Sec. 3.3-3.4 Rates of Change; Differentiation of Trig. Functions

Tuesday,
Sept. 18 Hour Test 1

Wednesday,
Sept. 19 Sec. 3.4 Differentiation of Trig. Functions

Friday,
Sept. 20 3.3(15,19,23-39odd) 3.3(30,60,74,88) II.((18 or 20),22,26) Sec. 3.4 Differentiation of Trig. Functions

Monday,
Sept. 24 Sec. 3.4 Differentiation of Trig. Functions

Tuesday,
Sept. 25 Sec. 3.5 Chain rule
Extra Credit due Friday, Oct. 5: Read Sec. 4.8 and complete Lab on Newton's Method

Wednesday,
Sept. 26 3.4(1-15odd,21,23,33,35), 3.5(7-19odd,59,63,77) 3.4(6,10,14,24,34), 3.5(8,18,32,64,80) Sec. 3.6-3.7 Rates of Change in Natural and Social Sciences; Implicit Differentiation

Friday,
Sept. 28 II.(27,32,35,37,72) Sec. 3.8, 3.9 Related Rates; Linear Approximation

Monday,
Oct. 1 3.6(5-19odd,27) 3.6(8,18,28,30) Sec. 4.1, 4.2 Group Assignment on the Mean Value Theorem

Tuesday,
Oct. 2 Sec. 4.1, 4.2 Group Assignment on the Mean Value Theorem (continued)

Wednesday,
Oct. 3 3.7(1,3,9,11,13,29,31) 3.7(4,8,14,20,28,32) Sec. 3.8 Group Assignment on Related Rates

Friday,
Oct. 5 II.(36–justify your answer, 38, 40) Group Assignment on the Mean Value Theorem Sec. 4.3 Shape of a Function

Monday,
Oct. 8 3.7(17,19,37,39), Ch3-Exer.,pp197-199 (7,13,23,33,47, 73,77,79,86,87), 4.1(45-55odd,63,65,67) 3.7(2), Ch3-Exer.,pp197-199 (18,26,48,76), 4.1(50,64) Sec. 4.4-4.5 Limits involving Infinity; Curve Sketching

Tuesday,
Oct. 9 Group Assignment on Related Rates Sec. 4.5, 4.8 Discussion of Newton's Method
Begin Lab on Curve Sketching

Wednesday,
Oct. 10 4.3(1,9,21,23,25) Ch3-Exer.,pp197-199 (80,88), 4.3(10,20,22,24,30) Sec. 4.5 Lab on Curve Sketching

Friday,
Oct. 12 II.(61,(62 or 64),68,69) Sec. 4.7 Optimization Problems

Monday,
Oct. 15 4.4(34,35,37,43,45,51,53), 4.5(1,3,7,9,13,15,27,33) 4.4(34,36,44,52), 4.5(10,32) Lab on Curve Sketching Perspectives on Differentiation

Tuesday,
Oct. 16 Sec. 4.9 Antiderivatives

Wednesday,
Oct. 17 4.7(9,11,31,33,47,49,55), 4.9(1-19odd,25,29,31,33, 37,43) 4.7(8,10,30,44), 4.9(24,38)(4.7,4.9 due after break) Questions, comments

Friday,
Oct. 19 Hour Test 2

Fall Break
Monday,
Oct. 29 (4.7, 4.9 due) Sec. 5.1 Sigma Notation; Area

Tuesday,
Oct. 30 Lab on Riemann Sums

Wednesday,
Oct. 31 Sec. 5.2 Definite Integral

Friday,
Nov. 2 5.1(1,11,13,15) 5.1(2,12) II. (78, 82, 96, 97[explain]) Sec. 5.3 The Fundamental Theorem of Calculus

Monday,
Nov. 5 Sec.5.4- 5.5 Indefinite Integrals, Substitution

Tuesday,
Nov. 6 5.3(1,3,7,9,11,13,15 19-33odd,37,39,51,55) 5.3(2,8,14,22, 28,38,52) Lab on Riemann Sums Sec. 5.5 Substitution
Extra Credit due Friday, Nov. 16: Read Sec. 5.1-5.3 and complete Group Activity on the Fundamental Theorem of Calculus

Wednesday,
Nov. 7 5.4(5,9,11,21,23,29,31, 33,35,47,49,51,55,63) 5.4(6,28,30,50,58,60) Group Assignment on Integration

Friday,
Nov. 9 III.(6,7,10,12,15,16) Sec. 6.1 Area between Regions

Monday,
Nov. 12 5.5(3,7,11,17,25,35,37, 39,45,47) 5.5(2,8,16,36,38) Group Assignment on Integration Sec. 6.2 Volumes using Disks (the potato-chip method)

Tuesday,
Nov. 13 Sec. 6.3 Volumes using Shells (the onion method)

Wednesday,
Nov. 14 Ch.5 Exer.,pp.341-343 (9,11,13,15,17,19,23,29) 6.1(1,3,5,9,13,17,23) Ch.5 Exer.,pp.341-343 (10,18,20(think),25) 6.1(4,12,14) Lab on Riemann Sums, Integrals, and Average Values

Friday,
Nov. 16 III.(17,25,30,33,36) Sec. 7.1 Inverse Functions

Monday,
Nov. 19 6.2(7,9,11,15,17,31,33) 6.2(2,6,12,34) Lab on Riemann Sums, Integrals, and Average Values Sec. 7.2 Exponential Functions and their Derivatives

Tuesday,
Nov. 20 Sec. 7.2 Derivatives of Exponential Functions

Wednesday,
Nov. 21 Hour Test 3

Friday,
Nov. 23 Thanksgiving Holiday

Monday,
Nov. 26 Sec. 7.3 Logarithmic Functions

Tuesday,
Nov. 27 6.3(5,7,15,17,21,23,25) Ch.6 Exer.,pp378-379 (1,3,5,7,9,13) 6.3(2,6,8,20) Ch.6 Exer.,pp378-379 (2,8,14) Sec. 7.2-7.3 Group Assignment on Exponentials and Logarithms

Wednesday,
Nov. 28 7.1(1,25,33,35,41) 7.2(31-45odd) 7.1(2,20,38) 7.2(32,36,50) Sec. 7.4 Derivatives of Log Functions

Friday,
Nov. 30 II.(88) III.(31,60a-d(use x=2 rather than x = ln 4),67,72) Exponentials and Logs
Group Assignment on Exponentials and Logarithms

Monday,
Dec. 3 Sec. 7.5 Exponential Growth and Decay

Tuesday,
Dec. 4 Group Assignment on Exponentials and Logarithms Sec. 7.5 Group Assignment on Exponential Growth

Wednesday,
Dec. 5 7.3(1,21-31odd,55,57), 7.4(1,3,7,11,15,19, 41,43,49,69-79odd) 7.3(26,28), 7.4(6,14,70,78) Writing Exercise 1 Sec. 7.6 [7.8] Inverse Trig. Functions [L'Hopital's Rule]

Friday,
Dec. 7 7.5(1,3,9) 7.5(8,10) III.(82,84) Group Assignment on Exponentials Growth Sec. 7.1, 7.6 Lab on Inverse Functions

Monday,
Dec. 10 7.6(1-15odd) 7.6(6,12,14) Sec. 7.6 Inverse Trig. Functions

Tuesday,
Dec. 11 Lab on Inverse Functions Sec. 7.6 Group Assignment on Inverse Trig. Functions

Wednesday,
Dec. 12 7.6(23-35odd, 59-69odd) 7.6(24,26,40,60,64,66) Writing Exercise 2 Problem Solving and Calculus

Friday,
Dec. 14 (7.6 due) Group Assignment on Inverse Trig. Functions Review

Due Date Suggested Problems Required Problems Required "Real" Problems Required Lab Reading
for Day Class Themes and Notes

Due Date	Suggested Problems	Required Problems	Required "Real" Problems	Required Lab	Reading for Day	Class Themes and Notes
Friday, Aug. 31	Diagnostic Tests A, B, C, D (pp. xxiv-xxviii)				Ch. 1	Motivation; Preliminaries; Intro. to Limits
Monday, Sept. 3	1.1(1,3,5,7,9,25,57,58), 1.2(3,15,53), Ch1-conc(odd), Ch1-rev(3,9)				Ch. 1	Lab on Zooming In
Tuesday, Sept. 4					pp. 4-6, Sec. 2.1-2.2	Tangent and Velocity Problems; Limit of a Function
Wednesday, Sept. 5	2.1(1,5,7), 2.2(5,6,9,13,15)	2.1(1,6,7), 2.2(4,8,16)			Sec. 2.3	Calculating Limits
Friday, Sept. 7			I.(8,11,14,17,18)	Lab on Zooming In	Sec. 2.4-2.5	Limits and Continuity
Monday, Sept. 10	2.3(7,9,11,15,17,23,37,59), 2.5(3,7)	2.3(2,10,18,20,58), 2.5(8)			Sec. 3.1-3.2	Derivatives; Rates of Change
Tuesday, Sept. 11						Group Assignment on Limits and Tangent Lines
Wednesday, Sept. 12	2.4(3,11), 3.1(3,5,9,15,17,25,45), 3.2(3,19,21,25,39,41), Ch2-rev-exercises(1-15odd)	2.4(12), 3.1(4,14,22,46), 3.2(12,20,24,40), Ch2-rev-exercises(4,6)			Sec. 3.3	Differentiation Formulas
Friday, Sept. 14			II.(1,2,5,6,7)	Group Assignment on Limits and Tangent Lines	Sec. 3.3	Differentiation Formulas
Monday, Sept. 17	3.3(5,9,13,17)	3.3(2,8,50)			Sec. 3.3-3.4	Rates of Change; Differentiation of Trig. Functions
Tuesday, Sept. 18	Hour Test 1
Wednesday, Sept. 19					Sec. 3.4	Differentiation of Trig. Functions
Friday, Sept. 20	3.3(15,19,23-39odd)	3.3(30,60,74,88)	II.((18 or 20),22,26)		Sec. 3.4	Differentiation of Trig. Functions
Monday, Sept. 24					Sec. 3.4	Differentiation of Trig. Functions
Tuesday, Sept. 25					Sec. 3.5	Chain rule Extra Credit due Friday, Oct. 5: Read Sec. 4.8 and complete Lab on Newton's Method
Wednesday, Sept. 26	3.4(1-15odd,21,23,33,35), 3.5(7-19odd,59,63,77)	3.4(6,10,14,24,34), 3.5(8,18,32,64,80)			Sec. 3.6-3.7	Rates of Change in Natural and Social Sciences; Implicit Differentiation
Friday, Sept. 28			II.(27,32,35,37,72)		Sec. 3.8, 3.9	Related Rates; Linear Approximation
Monday, Oct. 1	3.6(5-19odd,27)	3.6(8,18,28,30)			Sec. 4.1, 4.2	Group Assignment on the Mean Value Theorem
Tuesday, Oct. 2					Sec. 4.1, 4.2	Group Assignment on the Mean Value Theorem (continued)
Wednesday, Oct. 3	3.7(1,3,9,11,13,29,31)	3.7(4,8,14,20,28,32)			Sec. 3.8	Group Assignment on Related Rates
Friday, Oct. 5			II.(36–justify your answer, 38, 40)	Group Assignment on the Mean Value Theorem	Sec. 4.3	Shape of a Function
Monday, Oct. 8	3.7(17,19,37,39), Ch3-Exer.,pp197-199 (7,13,23,33,47, 73,77,79,86,87), 4.1(45-55odd,63,65,67)	3.7(2), Ch3-Exer.,pp197-199 (18,26,48,76), 4.1(50,64)			Sec. 4.4-4.5	Limits involving Infinity; Curve Sketching
Tuesday, Oct. 9			Group Assignment on Related Rates		Sec. 4.5, 4.8	Discussion of Newton's Method Begin Lab on Curve Sketching
Wednesday, Oct. 10	4.3(1,9,21,23,25)	Ch3-Exer.,pp197-199 (80,88), 4.3(10,20,22,24,30)			Sec. 4.5	Lab on Curve Sketching
Friday, Oct. 12			II.(61,(62 or 64),68,69)		Sec. 4.7	Optimization Problems
Monday, Oct. 15	4.4(34,35,37,43,45,51,53), 4.5(1,3,7,9,13,15,27,33)	4.4(34,36,44,52), 4.5(10,32)		Lab on Curve Sketching		Perspectives on Differentiation
Tuesday, Oct. 16					Sec. 4.9	Antiderivatives
Wednesday, Oct. 17	4.7(9,11,31,33,47,49,55), 4.9(1-19odd,25,29,31,33, 37,43)	4.7(8,10,30,44), 4.9(24,38)(4.7,4.9 due after break)				Questions, comments
Friday, Oct. 19	Hour Test 2
Fall Break
Monday, Oct. 29		(4.7, 4.9 due)			Sec. 5.1	Sigma Notation; Area
Tuesday, Oct. 30						Lab on Riemann Sums
Wednesday, Oct. 31					Sec. 5.2	Definite Integral
Friday, Nov. 2	5.1(1,11,13,15)	5.1(2,12)	II. (78, 82, 96, 97[explain])		Sec. 5.3	The Fundamental Theorem of Calculus
Monday, Nov. 5					Sec.5.4- 5.5	Indefinite Integrals, Substitution
Tuesday, Nov. 6	5.3(1,3,7,9,11,13,15 19-33odd,37,39,51,55)	5.3(2,8,14,22, 28,38,52)		Lab on Riemann Sums	Sec. 5.5	Substitution Extra Credit due Friday, Nov. 16: Read Sec. 5.1-5.3 and complete Group Activity on the Fundamental Theorem of Calculus
Wednesday, Nov. 7	5.4(5,9,11,21,23,29,31, 33,35,47,49,51,55,63)	5.4(6,28,30,50,58,60)				Group Assignment on Integration
Friday, Nov. 9			III.(6,7,10,12,15,16)		Sec. 6.1	Area between Regions
Monday, Nov. 12	5.5(3,7,11,17,25,35,37, 39,45,47)	5.5(2,8,16,36,38)		Group Assignment on Integration	Sec. 6.2	Volumes using Disks (the potato-chip method)
Tuesday, Nov. 13					Sec. 6.3	Volumes using Shells (the onion method)
Wednesday, Nov. 14	Ch.5 Exer.,pp.341-343 (9,11,13,15,17,19,23,29) 6.1(1,3,5,9,13,17,23)	Ch.5 Exer.,pp.341-343 (10,18,20(think),25) 6.1(4,12,14)				Lab on Riemann Sums, Integrals, and Average Values
Friday, Nov. 16			III.(17,25,30,33,36)		Sec. 7.1	Inverse Functions
Monday, Nov. 19	6.2(7,9,11,15,17,31,33)	6.2(2,6,12,34)		Lab on Riemann Sums, Integrals, and Average Values	Sec. 7.2	Exponential Functions and their Derivatives
Tuesday, Nov. 20					Sec. 7.2	Derivatives of Exponential Functions
Wednesday, Nov. 21	Hour Test 3
Friday, Nov. 23	Thanksgiving Holiday
Monday, Nov. 26					Sec. 7.3	Logarithmic Functions
Tuesday, Nov. 27	6.3(5,7,15,17,21,23,25) Ch.6 Exer.,pp378-379 (1,3,5,7,9,13)	6.3(2,6,8,20) Ch.6 Exer.,pp378-379 (2,8,14)			Sec. 7.2-7.3	Group Assignment on Exponentials and Logarithms
Wednesday, Nov. 28	7.1(1,25,33,35,41) 7.2(31-45odd)	7.1(2,20,38) 7.2(32,36,50)			Sec. 7.4	Derivatives of Log Functions
Friday, Nov. 30			II.(88) III.(31,60a-d(use x=2 rather than x = ln 4),67,72)			Exponentials and Logs Group Assignment on Exponentials and Logarithms
Monday, Dec. 3					Sec. 7.5	Exponential Growth and Decay
Tuesday, Dec. 4				Group Assignment on Exponentials and Logarithms	Sec. 7.5	Group Assignment on Exponential Growth
Wednesday, Dec. 5	7.3(1,21-31odd,55,57), 7.4(1,3,7,11,15,19, 41,43,49,69-79odd)	7.3(26,28), 7.4(6,14,70,78)		Writing Exercise 1	Sec. 7.6 [7.8]	Inverse Trig. Functions [L'Hopital's Rule]
Friday, Dec. 7	7.5(1,3,9)	7.5(8,10)	III.(82,84)	Group Assignment on Exponentials Growth	Sec. 7.1, 7.6	Lab on Inverse Functions
Monday, Dec. 10	7.6(1-15odd)	7.6(6,12,14)			Sec. 7.6	Inverse Trig. Functions
Tuesday, Dec. 11				Lab on Inverse Functions	Sec. 7.6	Group Assignment on Inverse Trig. Functions
Wednesday, Dec. 12	7.6(23-35odd, 59-69odd)	7.6(24,26,40,60,64,66)		Writing Exercise 2		Problem Solving and Calculus
Friday, Dec. 14		(7.6 due)		Group Assignment on Inverse Trig. Functions		Review
Due Date	Suggested Problems	Required Problems	Required "Real" Problems	Required Lab	Reading for Day	Class Themes and Notes

This document is available on the World Wide Web as

http://www.walker.cs.grinnell.edu/courses/131.fa12/assignments.shtml

created 28 May 2009 revised 31 August 2012 deadlines updated 20 September 2012 updated 26 September 2012 Mean-Value activity added, problems added, deadlines adjusted 1 October 2012 Real Problems added after break 20 October 2012 Writing exercises added 28 November 2012
For more information, please contact Henry M. Walker at walker@cs.grinnell.edu.