Math 131  Grinnell College  Fall, 2012 
Section 1: MWF 8:008:50, T 10:0010:50 (Science 3821) Section 4: MTWF: 1:152:05 (Science 3821) 
Calculus I  
Quick Links: September October November December 
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:
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. xxivxxviii)  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), Ch1conc(odd), Ch1rev(3,9)  Ch. 1  Lab on Zooming In  
Tuesday, Sept. 4  pp. 46, Sec. 2.12.2  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. 2.42.5  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. 3.13.2  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), Ch2revexercises(115odd)  2.4(12),
3.1(4,14,22,46),
3.2(12,20,24,40), Ch2revexercises(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. 3.33.4  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(15,19,2339odd)  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(115odd,21,23,33,35), 3.5(719odd,59,63,77)  3.4(6,10,14,24,34), 3.5(8,18,32,64,80)  Sec. 3.63.7  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(519odd,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), Ch3Exer.,pp197199 (7,13,23,33,47, 73,77,79,86,87), 4.1(4555odd,63,65,67)  3.7(2), Ch3Exer.,pp197199 (18,26,48,76), 4.1(50,64)  Sec. 4.44.5  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)  Ch3Exer.,pp197199 (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(119odd,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 1933odd,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. 5.15.3 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 potatochip method)  
Tuesday, Nov. 13  Sec. 6.3  Volumes using Shells (the onion method)  
Wednesday, Nov. 14  Ch.5 Exer.,pp.341343 (9,11,13,15,17,19,23,29) 6.1(1,3,5,9,13,17,23)  Ch.5 Exer.,pp.341343 (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.,pp378379 (1,3,5,7,9,13)  6.3(2,6,8,20) Ch.6 Exer.,pp378379 (2,8,14)  Sec. 7.27.3  Group Assignment on Exponentials and Logarithms  
Wednesday, Nov. 28  7.1(1,25,33,35,41) 7.2(3145odd)  7.1(2,20,38) 7.2(32,36,50)  Sec. 7.4  Derivatives of Log Functions  
Friday, Nov. 30  II.(88) III.(31,60ad(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(1,2131odd,55,57), 7.4(1,3,7,11,15,19, 41,43,49,6979odd)  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(115odd)  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(2335odd, 5969odd)  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.cs.grinnell.edu/~walker/courses/131.fa12/assignments.shtml
created 28 May 2009 revised 31 August 2012 deadlines updated 20 September 2012 updated 26 September 2012 MeanValue 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. 