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:

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 Group Assignment on Exponential Growth
 Wednesday,
Dec. 2
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)     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(1-15odd) 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(23-35odd, 59-69odd) 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


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