Math 131  Grinnell College  Fall, 2009 
Section 1: MWF 8:008:50, T 11:0011:50 Section 2: MTWF: 10:0010:50 
Calculus I  
Quick Links: August 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 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. xxivxxviii)  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), Ch1conc(odd), Ch1rev(3,9)  1.1(2,10,26,56), 1.2(4,18,24), Ch1conc(6), Ch1rev(2)  Lab on Zooming In  
Tuesday, Sept. 1  pp. 46, Sec. 2.12.2  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. 2.42.5  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. 3.13.2  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), Ch2rev(115odd)  2.4(12), 3.1(4,14,22,46), 3.2(12,20,24,40), Ch2rev(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. 3.33.4  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(15,19,2339odd)  3.3(30,60,74,88)  II.((18 or 20),22,26)  Sec. 3.5  Chain Rule  
Monday, Sept. 21  3.4(115odd,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(719odd,59,63,77)  3.5(8,18,32,64,80)  Sec. 3.63.7  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(519odd,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), 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. 6  Sec. 4.5  Lab on Curve Sketching  
Wednesday, Oct. 7  4.3(1,9,21,23,25)  Ch3Exer.,pp197199 (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(119odd,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 1933odd,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 potatochip method)  
Tuesday, Nov. 10  Sec. 6.3  Volumes using Shells (the onion method)  
Wednesday, Nov. 11  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. 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.,pp378379 (1,3,5,7,9,13)  6.3(2,6,8,20) Ch.6 Exer.,pp378379 (2,8,14)  Sec. 7.2  Group Assignment on Exponentials and Logarithms  
Friday, Nov. 20  II.(88) III.(31,60ad(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(3145odd)  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  Group Assignment on Exponential Growth  
Wednesday, Dec. 2  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)  Sec. 7.6 [7.8]  Inverse Trig. Functions [L'Hopital's Rule]  
Friday, Dec. 4  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. 7  7.6(115odd)  7.6(6,12,14)  Sec. 7.6  Inverse Trig. Functions  
Tuesday, Dec. 8  Lab on Inverse Functions  Sec. 7.6  Group Assignment on Inverse Trig. Functions  
Wednesday, Dec. 9  7.6(2335odd, 5969odd)  7.6(24,26,40,60,64,66)  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 2 December 2009 

For more information, please contact Henry M. Walker at walker@cs.grinnell.edu. 