Math 1300: Calculus I, Spring 2008

Tentative Schedule and Homework Assignments

A tentative schedule, including homework assignments, is listed below.  It is subject to change and will be updated weekly.  Solutions to the underlined problems should go at the beginning of your homework.  The remaining problems should follow the underlined problems.  Unless stated otherwise, all homework is due the class session following the session it is assigned.  Note that QC stands for Quick Check.  The Quick Check problems come before the ordinary exercises.

WEEK 1: Introduction to Functions
DayTopicHWSectionAssignment
MondayIntroduction to course and definition of a function11.11, 3, 7, 8, 16, 20, 25, 32
TuesdayComposition of two functions21.31, 19, 25, 35, 36, 42, 66, 71
WednesdayInverse functions31.51, 7ab, 9, 15, 22, 27 a, 30, 40
ThursdayRecitation: Worksheet 14N/APrint homework from web
FridayThe function f(x)=bx and its inverse function for b a positve integer51.62, 5, 13, 17, 22, 43, 45
WEEK 2: Limits
DayTopicHWSectionHomework
MondayNo Classes (MLK Holiday)6N/AN/A
TuesdayMore on exponential functions, including f(x)=ex71.66, 9, 12, 19, 29, 31, 33, 35
WednesdayLimits of values of functions82.11, 3, 4, 6, 7, 11, 22abc, 24
ThursdayRecitation: Worksheet 29N/APrint homework from web
FridayComputing limits102.21abcde, 2ac, 5, 7, 31, 34, 37, 40
WEEK 3: Limits (Continued)
DayTopicHWSectionHomework
MondayLimits involving infinity112.37, 11, 15, 20, 32, 33, 43, 49
TuesdayContinuity122.51, 10, 11, 17, 24, 27, 28, 43
WednesdayTrig functions13App A1ab, 3ab, 5, 8, 13, 15abc, 20, 31
ThursdayRecitation: Worksheet 314N/APrint homework from web
FridayTrig functions (continued)152.67, 17, 21, 24, 29, 30, 37, 45
WEEK 4: Derivatives
DayTopicHWSectionHomework
MondaySlope of a tangent line as a limit (including equations of lines)163.1QC: #1, 2; Exercises: #13, 14, 15, 16
TuesdayCatch-up and ReviewN/A
N/AN/A
WednesdayReview and Midterm Exam 1 at 5:15-6:45 pmN/AN/AN/A
ThursdayRecitation: Worksheet 417N/APrint homework from web
FridayInstantaneous rates of change and velocity183.14, 5, 9, 11, 12, 15, 17, 22
WEEK 5: Derivatives (Continued)
DayTopicHWSectionHomework
MondayDerivative of a function (part 1)193.22, 3, 5, 6, 11, 13, 23
TuesdayDerivative of a function (part 2)203.215, 25, 26, 29, 41, 43, 44
WednesdayTechniques of differentiation213.33, 4, 6, 8, 9, 10, 12, 13, 18, 37, 42, 51
ThursdayRecitation: Worksheet 522N/APrint homework from web
FridayThe product and quotient rules
233.4
3, 4, 15, 19, 21, 25, 28, 30
WEEK 6: Derivatives (Continued)
DayTopicHWSectionHomework
MondayDerivatives of trig functions243.51, 5, 9, 11, 23, 27, 29, 31
TuesdayChain rule253.61, 3, 7, 15, 23, 26, 31, 38, 43, 69
WednesdayIntroduction to related rates263.74, 5, 13, 17, 19, 24, 25, 32, 45
ThursdayRecitation: Worksheet 627N/APrint homework from web
FridayMore on related rates or catch-upN/AN/AN/A
WEEK 7: More on Derivatives
DayTopicHWSectionHomework
MondayImplicit differentiation284.11, 9, 11, 17, 21, 27, 29, 33, 41, 50
TuesdayDerivatives of log functions294.27, 11, 12, 15, 22, 23, 27, 33, 42
WednesdayDerivatives of exponential and inverse trig functions304.313, 15, 21, 28, 29, 35, 39, 40, 43, 51
ThursdayRecitation: Worksheet 7
31N/APrint homework from web
FridayL'Hospital's rule and indeterminate forms (part 1)324.45, 9, 11, 14, 15, 16, 17, 39
WEEK 8: And Even More on Derivatives
DayTopicHWSectionHomework
MondayL'Hospital's rule and indeterminate forms (part 2)334.419, 26, 27, 33, 34, 49, 50, 51
TuesdayCatch-up or review for Exam 1N/AN/AN/A
WednesdayReview and Midterm Exam 2 at 5:15-6:45 (new locations!!!)N/AN/AN/A
ThursdayRecitation: Worksheet 834N/APrint homework from web
FridayAnalysis of functions I: increase, decrease355.1QC: 1(a)(b), 2(a)(b), 3(a)
Exercises: 6, 13, 16, 25, 26 53(a)(b)
For 13, 16, 25, 26 just find intervals of increase and decrease
WEEK 9:  Analysis of Functions
DayTopicHWSectionHomework
MondayAnalysis of functions I: concavity and inflection points365.11, 2, 7, 21, 38, 54, 57, 63
TuesdayAnalysis of functions II:  relative max/min using 1st derivative test375.21, 5(a)(c), 8, 11, 16, 19, 23, 75
WednesdayAnalysis of functions II:  relative max/min using 2nd derivative test385.26, 13, 14, 18, 27, 32, 37, 38
ThursdayRecitation: Worksheet 939N/APrint homework from web
FridayCurve sketching405.31, 2, 8, 10, 11, 13, 19, 23
WEEK 10: More on Curve Sketching and Applied Max and Min
DayTopicHWSectionHomework
MondayMore on curve sketching (cusps and vertical tangent lines)415.325, 26, 27, 32, 35, 44, 53
TuesdayAbsolute maxima and minima425.43, 8, 10, 11, 19, 23, 43, 45
WednesdayApplied max and min problems (part 1)435.51, 3, 5,  9, 17, 19, 33, 35
ThursdayRecitation: Worksheet 1044N/APrint homework from web
FridayApplied max and min problems (part 2)455.538, 49, 56, 57, 58
WEEK 11: Spring Break!
No Classes
WEEK 12: Mean Value Theorem and Introduction to Antiderivatives
DayTopicHWSectionHomework
MondayRolle's Theorem and the Mean Value Theorem465.71, 4, 7, 10, 13(a)(b), 15, 19, 21
TuesdayApplications of the MVT475.714(a)(b)(c), 23, 24, 31, 35, 41
WednesdayArea486.1Use the antiderivative method to find the area
under each graph on the indicated interval: 1, 2, 9
Other problems: 15, 17, 19, 21, 23
ThursdayRecitation: Worksheet 1149N/APrint homework from web
FridayIntroduction to Integration506.21(a)(b), 3, 5, 10(a)(b)(c), 12, 15, 20, 23, 25
WEEK 13:  More on indefinite integrals
DayTopicHWSectionHomework
MondayIntegration using substitution516.31, 9, 10, 15, 21, 28, 29, 47, 55
TuesdayCatch-up or review for Exam 3N/AN/AN/A
WednesdayReview and Midterm Exam 3 at 5:15-6:45 (new locations!!!)N/AN/AN/A
ThursdayRecitation: Worksheet 1252N/APrint homework from web
FridaySigma notation536.41, 3, 7, 11, 15, 17, 20, 23
WEEK 14: Definite integrals
DayTopicHWSectionHomework
MondayArea as a limit (part I)N/A6.4N/A
TuesdayArea as a limit (part II)546.429, 30, 31, 39, 43, 47, 53, 59
WednesdayDefinite integrals556.5QC: 3, 4  Exercises: 4, 11, 15, 24, 27, 35
ThursdayRecitation: Worksheet 1356N/APrint homework from web
FridayFundamental theorem of calculus (part I)576.62, 11, 14, 23, 26, 40, 41, 46
WEEK 15: Fundamental theorem of calculus and applications
DayTopicHWSectionHomework
MondayFundamental theorem of calculus (part II)586.63, 54, 57, 58, 59, 61, 63, 65
TuesdayEvaluating definite integrals by substitution596.831, 33, 35, 36, 44, 45, 47, 57
WednesdayArea between two curves607.11, 3, 5, 9, 11, 13, 14, 16
ThursdayRecitationN/AN/AN/A
FridayVolumes by Washers617.21, 3, 8, 9, 13, 19, 35, 36
WEEK 16: More on volumes and review
DayTopicHWSectionHomework
MondayVolumes by cylindrical shells627.31, 3, 5, 11, 15, 23, 25, 27
TuesdayMore on volumes if necessaryN/AN/AN/A
WednesdayReviewN/AN/AN/A
ThursdayRecitationN/AN/AN/A
FridayReviewN/AN/AN/A