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

Quick Links:   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:

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


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
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
Valid HTML 4.01! Valid CSS!
For more information, please contact Henry M. Walker at walker@cs.grinnell.edu.