Math 131	Grinnell College	Fall, 2009

Section 1: MWF 8:00-8:50, T 11:00-11:50 Section 2: MTWF: 10:00-10:50	Calculus I

Assignment/Lab Index

Quick Links: August September October November December

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 Holly Mosley in 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.
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 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. 28 Diagnostic Tests A, B, C, D (pp. xxiv-xxviii) Ch. 1 Motivation; Preliminaries; Intro. to Limits

Monday,
Aug. 31 1.1(1,3,5,7,9,25,57,58), 1.2(3,15,53), Ch1-conc(odd), Ch1-rev(3,9) 1.1(2,10,26,56), 1.2(4,18,24), Ch1-conc(6), Ch1-rev(2) Lab on Zooming In

Tuesday,
Sept. 1 pp. 4-6,
Sec. 2.1-2.2 Tangent and Velocity Problems; Limit of a Function

Wednesday,
Sept. 2 2.1(1,5,7), 2.2(5,6,9,13,15) 2.1(1,6,7), 2.2(4,8,16) Lab on Zooming In Sec. 2.3 Calculating Limits

Friday,
Sept. 4 I.(8,11,14,17,18) Sec. 2.4-2.5 Limits and Continuity

Monday,
Sept. 7 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. 8 Group Assignment on Limits and Tangent Lines

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

Friday,
Sept. 11 II.(1,2,5,6,7) Group Assignment on Limits and Tangent Lines Sec. 3.3 Differentiation Formulas

Monday,
Sept. 14 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. 15 Hour Test 1

Wednesday,
Sept. 16 Sec. 3.4 Differentiation of Trig. Functions

Friday,
Sept. 18 3.3(15,19,23-39odd) 3.3(30,60,74,88) II.((18 or 20),22,26) Sec. 3.5 Chain Rule

Monday,
Sept. 21 3.4(1-15odd,21,23,33,35) 3.4(6,10,14,24,34) Sec. 3.5 Chain rule

Tuesday,
Sept. 22 Sec. 4.8 Lab on Newton's Method

Wednesday,
Sept. 23 3.5(7-19odd,59,63,77) 3.5(8,18,32,64,80) Sec. 3.6-3.7 Rates of Change in Natural and Social Sciences; Implicit Differentiation

Friday,
Sept. 25 II.(18,32,35,37,72) Sec. 3.8 Related Rates

Monday,
Sept. 28 3.6(5-19odd,27) 3.6(8,18,28,30) Lab on Newton's Method Sec. 3.9, [4.2] Differentials; Linear Approximation; [Mean Value Theorem]

Tuesday,
Sept. 29 Sec. 3.8 Group Assignment on Related Rates

Wednesday,
Sept. 30 3.7(1,3,9,11,13,29,31) 3.7(4,8,14,20,28,32) Sec. 4.1 Maxima and Minima

Friday,
Oct. 2 Group Assignment on Related Rates Sec. 4.3 Shape of a Function

Monday,
Oct. 5 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. 6 Sec. 4.5 Lab on Curve Sketching

Wednesday,
Oct. 7 4.3(1,9,21,23,25) Ch3-Exer.,pp197-199 (80,88), 4.3(10,20,22,24,30) Sec. 4.7 Optimization Problems

Friday,
Oct. 9 II.(61,(62 or 64),68,69) Lab on Curve Sketching Sec. 4.7 Optimization Problems

Monday,
Oct. 12 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) Perspectives on Differentiation

Tuesday,
Oct. 13 Sec. 4.9 Antiderivatives

Wednesday,
Oct. 14 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) Questions, comments

Friday,
Oct. 16 Hour Test 2

Fall Break
Monday,
Oct. 26 Sec. 5.1 Sigma Notation; Area

Tuesday,
Oct. 27 Lab on Riemann Sums

Wednesday,
Oct. 28 Sec. 5.2 Definite Integral

Friday,
Oct. 30 5.1(1,11,13,15) 5.1(2,12) Lab on Riemann Sums Sec. 5.3 The Fundamental Theorem of Calculus

Monday,
Nov. 2 5.3(1,3,7,9,11,13,15 19-33odd,37,39,51,55) 5.3(2,8,14,22, 28,38,52) Sec.5.4- 5.5 Indefinite Integrals, Substitution

Tuesday,
Nov. 3 Sec. 5.5 Substitution

Wednesday,
Nov. 4 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. 6 III.(6,7,10,12,15,16) Sec. 6.1 Area between Regions

Monday,
Nov. 9 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. 10 Sec. 6.3 Volumes using Shells (the onion method)

Wednesday,
Nov. 11 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. 13 III.(17,25,30,33,36) Sec. 7.1 Inverse Functions

Monday,
Nov. 16 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. 17 Sec. 7.2 Derivatives of Exponential Functions

Wednesday,
Nov. 18 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 Group Assignment on Exponentials and Logarithms

Friday,
Nov. 20 II.(88) III.(31,60a-d(use x=2 rather than x = ln 4),67,72) Sec. 7.3 Logarithmic Functions

Monday,
Nov. 23 7.1(1,25,33,35,41) 7.2(31-45odd) 7.1(2,20,38) 7.2(32,36,50) Group Assignment on Exponentials and Logarithms Sec. 7.4 Derivatives of Log Functions

Tuesday,
Nov. 24 Exponentials and Logs

Wednesday,
Nov. 25 Hour Test 3

Friday,
Nov. 27 Thanksgiving Holiday

Monday,
Nov. 30 Sec. 7.5 Exponential Growth and Decay

Tuesday,
Dec. 1 Sec. 7.5 Lab on Exponentials

Wednesday,
Dec. 2 Sec. [7.8] [L'Hopital's Rule]

Friday,
Dec. 4 Lab on Exponentials Sec. 7.6 Inverse Trig. Functions

Monday,
Dec. 7 Sec. 7.6 Inverse Trig. Functions

Tuesday,
Dec. 8 Sec. 7.6 Group Assignment on Inverse Trig. Functions

Wednesday,
Dec. 9 Problem Solving and Calculus

Friday,
Dec. 11 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. 28	Diagnostic Tests A, B, C, D (pp. xxiv-xxviii)				Ch. 1	Motivation; Preliminaries; Intro. to Limits
Monday, Aug. 31	1.1(1,3,5,7,9,25,57,58), 1.2(3,15,53), Ch1-conc(odd), Ch1-rev(3,9)	1.1(2,10,26,56), 1.2(4,18,24), Ch1-conc(6), Ch1-rev(2)				Lab on Zooming In
Tuesday, Sept. 1					pp. 4-6, Sec. 2.1-2.2	Tangent and Velocity Problems; Limit of a Function
Wednesday, Sept. 2	2.1(1,5,7), 2.2(5,6,9,13,15)	2.1(1,6,7), 2.2(4,8,16)		Lab on Zooming In	Sec. 2.3	Calculating Limits
Friday, Sept. 4			I.(8,11,14,17,18)		Sec. 2.4-2.5	Limits and Continuity
Monday, Sept. 7	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. 8						Group Assignment on Limits and Tangent Lines
Wednesday, Sept. 9	2.4(3,11), 3.1(3,5,9,15,17,25,45), 3.2(3,19,21,25,39,41), Ch2-rev(1-15odd)	2.4(12), 3.1(4,14,22,46), 3.2(12,20,24,40), Ch2-rev(4,6)			Sec. 3.3	Differentiation Formulas
Friday, Sept. 11			II.(1,2,5,6,7)	Group Assignment on Limits and Tangent Lines	Sec. 3.3	Differentiation Formulas
Monday, Sept. 14	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. 15	Hour Test 1
Wednesday, Sept. 16					Sec. 3.4	Differentiation of Trig. Functions
Friday, Sept. 18	3.3(15,19,23-39odd)	3.3(30,60,74,88)	II.((18 or 20),22,26)		Sec. 3.5	Chain Rule
Monday, Sept. 21	3.4(1-15odd,21,23,33,35)	3.4(6,10,14,24,34)			Sec. 3.5	Chain rule
Tuesday, Sept. 22					Sec. 4.8	Lab on Newton's Method
Wednesday, Sept. 23	3.5(7-19odd,59,63,77)	3.5(8,18,32,64,80)			Sec. 3.6-3.7	Rates of Change in Natural and Social Sciences; Implicit Differentiation
Friday, Sept. 25			II.(18,32,35,37,72)		Sec. 3.8	Related Rates
Monday, Sept. 28	3.6(5-19odd,27)	3.6(8,18,28,30)		Lab on Newton's Method	Sec. 3.9, [4.2]	Differentials; Linear Approximation; [Mean Value Theorem]
Tuesday, Sept. 29					Sec. 3.8	Group Assignment on Related Rates
Wednesday, Sept. 30	3.7(1,3,9,11,13,29,31)	3.7(4,8,14,20,28,32)			Sec. 4.1	Maxima and Minima
Friday, Oct. 2				Group Assignment on Related Rates	Sec. 4.3	Shape of a Function
Monday, Oct. 5	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. 6					Sec. 4.5	Lab on Curve Sketching
Wednesday, Oct. 7	4.3(1,9,21,23,25)	Ch3-Exer.,pp197-199 (80,88), 4.3(10,20,22,24,30)			Sec. 4.7	Optimization Problems
Friday, Oct. 9			II.(61,(62 or 64),68,69)	Lab on Curve Sketching	Sec. 4.7	Optimization Problems
Monday, Oct. 12	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)				Perspectives on Differentiation
Tuesday, Oct. 13					Sec. 4.9	Antiderivatives
Wednesday, Oct. 14	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)				Questions, comments
Friday, Oct. 16	Hour Test 2
Fall Break
Monday, Oct. 26					Sec. 5.1	Sigma Notation; Area
Tuesday, Oct. 27						Lab on Riemann Sums
Wednesday, Oct. 28					Sec. 5.2	Definite Integral
Friday, Oct. 30	5.1(1,11,13,15)	5.1(2,12)		Lab on Riemann Sums	Sec. 5.3	The Fundamental Theorem of Calculus
Monday, Nov. 2	5.3(1,3,7,9,11,13,15 19-33odd,37,39,51,55)	5.3(2,8,14,22, 28,38,52)			Sec.5.4- 5.5	Indefinite Integrals, Substitution
Tuesday, Nov. 3					Sec. 5.5	Substitution
Wednesday, Nov. 4	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. 6			III.(6,7,10,12,15,16)		Sec. 6.1	Area between Regions
Monday, Nov. 9	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. 10					Sec. 6.3	Volumes using Shells (the onion method)
Wednesday, Nov. 11	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. 13			III.(17,25,30,33,36)		Sec. 7.1	Inverse Functions
Monday, Nov. 16	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. 17					Sec. 7.2	Derivatives of Exponential Functions
Wednesday, Nov. 18	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	Group Assignment on Exponentials and Logarithms
Friday, Nov. 20			II.(88) III.(31,60a-d(use x=2 rather than x = ln 4),67,72)		Sec. 7.3	Logarithmic Functions
Monday, Nov. 23	7.1(1,25,33,35,41) 7.2(31-45odd)	7.1(2,20,38) 7.2(32,36,50)		Group Assignment on Exponentials and Logarithms	Sec. 7.4	Derivatives of Log Functions
Tuesday, Nov. 24						Exponentials and Logs
Wednesday, Nov. 25	Hour Test 3
Friday, Nov. 27	Thanksgiving Holiday
Monday, Nov. 30					Sec. 7.5	Exponential Growth and Decay
Tuesday, Dec. 1					Sec. 7.5	Lab on Exponentials
Wednesday, Dec. 2					Sec. [7.8]	[L'Hopital's Rule]
Friday, Dec. 4				Lab on Exponentials	Sec. 7.6	Inverse Trig. Functions
Monday, Dec. 7					Sec. 7.6	Inverse Trig. Functions
Tuesday, Dec. 8					Sec. 7.6	Group Assignment on Inverse Trig. Functions
Wednesday, Dec. 9						Problem Solving and Calculus
Friday, Dec. 11				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.cs.grinnell.edu/~walker/courses/131.fa09/assignments.shtml

created 28 May 2009 last revised 11 November 2009
For more information, please contact Henry M. Walker at walker@cs.grinnell.edu.