Rice University
Math 111
Fall, 1998
Dr. Anne Papakonstantinou

Course Assignments

Homework: Homework will be assigned each class and collected at the beginning of the next class except for exam days. Please staple your homework and write your name on each page. To receive credit for your homework, you must turn it in on time.

Date AssignedProblems Assigned
August 31 Concept of Function
p.22-23: 3, 4, 5
p.33-34: 1a, 2a, 3(a,d), 6(a,d), 7
September 2 Special Functions
p.57-59: 14, 22, 23, 66, 67, 69(a,b,c,d,f)
p.72-74: 16, 18, 20, 22, 26, 40
September 4 Special Functions
p.33: 1b,2b
p.60: 78(a,b,c)
p.89: 11
p.103: 7
September 9 and 11Rational Functions
pp. 57-60: 17, 18, 19, 20, 69e, 71b
pp. 90-91: 19d, 20a, 29, 30
September 14Combining Functions
pp. 58-60: 31, 34, 39, 44, 60, 76
p. 104: 10, 14
September 16Trigonometric Functions
p. 34: 3e, 5e, 6e
p. 60: 77a
pp. 91-92: 41, 45a, 46a
September 18Limit of a Function
pp. 124-126: evens (2-14)
September 21Limit Computations
pp.137-138: 3, 6, 8, 10, 12, 44, 51, 56
September 23Infinite Limits; Vertical Asymptotes, One-Sided Limits
pp.137-138: 4, 27, 28, 30, 32, 33, 34, 42, 49, 50
September 25Limits at Infinity; Horizontal Asymptotes
p.137: 13, 16, 18, 20, 22, 26, 37, 39, 40
September 28Continuity
p.126: 16
p.157: 12, 14, 18, 22, 23, 24, 27, 28
p.165: 12
September 30Limits and Continuity of Trigonometric Functions
p.163 : 6, 7, 14, 16, 18 , 20, 35
October 2Review
October 7Derivative of a Function
p.187-188: 7, 8, 10, 17, 21, 24
October 9Differentiation Formulas
p.197: 2, 4, 6, 8, 9, 10, 15, 16, 29, 30
October 12Differentiation Formulas
p.197-198: 15, 16, 19, 20, 23, 26, 28, 42, 46
October 14Differentiation and Continuity
p.189: 40 (for extra credit: turn in a separate sheet of paper)
p.189: 41-44
p.199: 76-79
October 16The Chain Rule
p.208: 2, 4, 6, 36, 43, 48
October 21Differentiation of Trigonometric Functions
p.202: evens (2-16)
p.208: 8, 13, 18, 28, 40
October 23Implicit Differentiation
p.199: 75
p.208: 19, 23, 24
p.253: 1, 3, 12, 14, 16, 22, 26, 28
October 26Related Rates
p.274: 2, 3, 4, 6, 8, 10
October 28Related Rates
pp.274-276: 12, 15, 16, 22, 26, 34
October 30L'Hopital's Rule
pp.284-285: 1, 2, 4, 6, 7, 9, 39, 40
November 2Review
November 4Exam
November 6Graphing Functions:
The First Derivative Test
for Maxima and Minima

p.187: 5, 6
pp.304-305: graph & analyze:{8(a), 9(b), 10(a), 12(b), 30}
November 9Graphing Functions:
The Second Derivative Test
for Maxima and Minima;
Concavity

pp.304-305: graph & analyze:{18, 24, 26, 33, 34}
November 11Graphing Functions: Analysis
p.297: graph & analyze:{10, 12, 14, 16}
pp.322-323: graph & analyze:{10, 15}, 29
November 13 Graphing Functions: Analysis
p.187: 23
pp.296-297: 3, 4, 5, 7, 32
p.305: 53
November 16Absolute Maxima and Minima
p.337: 2, 4, graph and analyze: {6, 8, 14, 16, 18, 22}
November 18Maxima and Minima Applications
p.348: 2, 4, 8, 9, 12, 13
November 20Maxima and Minima Applications
pp.348-350: 16, 19, 20, 22, 49, 52, 55
November 23Motion (rectilinear)
pp. 359-362: 4, 11, 12, 17, 18, 34
November 25Motion (due to gravity)
p.439: 40, 41, 42, 44, 45, 46(a)
November 30Review
December 2Exam
December 4Rolle's Theorem
pp. 372-373: 2, 3, 4, 5, 6, 19
December7Mean Value Theorem
pp. 372-373: 9, 10, 12, 14, 16, 20

Writing Assignment

This semester we have studied several concepts including the derivative and its applications (graphing, maxima/minima applications, and motion).

Create and write a problem that uses the derivative to solve it. The problem should be based on an area of interest to you or related to your intended major. Include a complete solution to the problem that you create. If an illustration adds clarity to your problem or solution, include one. Please type or neatly write the assignment using complete sentences.

The assignment is due no later than the beginning of class, December 9, and is worth 20 points.


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