MATH 0120 Business Calculus
Fall Term 2009 (2101)
INSTRUCTOR
Elayne Arrington, PhD
Office: 608 Thackeray Hall
Office Hours: MWF 2:00 – 4:00 (or by appointment )
Telephone: 412-624-8337 or 8375 (Math Office)
fax: 412-624-8397
e-mail: earr@pitt.edu
http://www.math.pitt.edu/~earr
TEACHING
ASSISTANTS
TEXTBOOK
ndh12@pitt.edu
COURSE
PREREQUISITES
Math 0031 (College Algebra) or equivalent, Math 0100 (Preparation for Business
Calculus), or an appropriate score on the mathematics placement test.
COURSE
DESCRIPTION
This course is designed for students in business, economics, and other social
sciences. It introduces the basic concept of limit and its application to continuity,
differentiation, integration, maximization, minimization and partial derivatives.
Applications to the social sciences, especially business and economics, are
stressed. The calculus of trigonometric functions is not covered.
COURSE
ORGANIZATION
The course consists of lecture and recitation components. Each student must
register for a recitation that is associated with the lecture that he or she is attending.
Lectures are M,W,F. Recitations are scheduled on Tu and Th of each week. The
Tuesday recitation will be a collaborative one in which students work in small
diverse groups to complete worksheets. These worksheets will cover problems
similar to the practice problems, but in more depth. Students will assemble
individually in the Thursday recitation. A quiz will be given in the Thursday
recitation almost every week of the term. Students should read each section before
the lecture on that section.
LEARNING
OUTCOMES
Students of the course will be able to:
 Find limits of functions presented as graphs, tables, or algebraic
expressions.
 Use the concept of limit to define the derivative of a function.
 Differentiate functions involving powers, exponentials, and logarithms.
 Apply the concepts of differentiation to solve optimization problems.
 Use the derivative to hand sketch the graphs of functions involving
powers, exponentials, and logarithms.
 Find indefinite integrals of functions involving powers, exponentials, and
logarithms.
 Find definite integrals of appropriate functions.
 Apply the definite integral to solve problems.
 Find partial derivatives of functions of two variables.
 Apply the method of Lagrange multipliers to solve constrained
optimization problems.
tjr28@pitt.com
tls52@pitt.edu
mat53@pitt.edu
Brief Applied Calculus, Fifth Edition, by Geoffrey C. Berresford and Andrew M.
Rockett; Brooks/Cole CENGAGE Learning.
Math0120Div-2101
COURSE
SOFTWARE
CALCULATOR
POLICY
http://www.webassign.com Weekly computer homework assignments will be
given.
A graphing calculator such as a TI-83 or above will be useful in doing many of the
practice problems and visualizing solutions, but only fully written solutions
showing all work will receive full credit. Because of the nature of the tested
material, calculators will not be permitted on the 50-minute examinations and
on the Departmental Final Examination.
MAKE-UP POLICY
There will be no make-up* for exams, homework, or quizzes.
*The instructor will make arrangements with affected students when an
examination or quiz is scheduled on a religious holiday or a date on which the
student must represent the University. There is no make-up for worksheets or web
assignments.
FINAL
EXAMINATION
POLICY
The one-letter-grade rule applies: A student’s course grade in Math 0120 will not
exceed her/his grade on the Math 0120 Departmental Final Examination by more
than one letter grade.
GRADING POLICY
The student’s course grade will be based solely on her/his performance on the
worksheets, web assignments, quizzes and examinations as follows:
 Worksheets
8%
 WebAssign Homework
7%
 Quizzes
10%
 Exam #1
15%
 Exam #2
15%
 Exam #3
15%
 Departmental Final Exam
30%
Worksheet, webassign and quiz grades will be based on the best 10 scores.
STUDENTS WITH
DISABILITIES
A student with a disability for which he or she is requesting an accommodation, is
encouraged to contact both the instructor and the Office of Disability Resources
and Services, 216 William Pitt Union (412) 648-7890 as early in the term as
possible.
ACADEMIC
INTEGRITY
Cheating/plagiarism will not be tolerated. Students suspected of violating the
University of Pittsburgh Policy on Academic Integrity will incur a minimum
sanction of a zero score for the quiz, exam or paper in question. Additional
sanctions may be imposed, depending on the severity of the infraction. Students may
work together or use library resources to do homework, but each student must write his or
her own solutions independently. Copying solutions from other students will be considered
cheating, and handled accordingly.
CLASSROOM
CONDUCT
All students are expected to report to class on time, refrain from individual
conversation during class, turn cell phones and pagers off or to “vibrate”, and show
respect for fellow students and faculty.
DEADLINES
Add/drop period ends: Friday, September 11
Monitored withdrawal ends: Friday, October 30
.
2
Math0120Div-2101
MATH 0120 Business Calculus
Class Schedule
Fall Term 2009 (2101)
Monday
(Lecture)
Aug. 31
Sec. 1.1
Sept. 7
Holiday
Sept. 14
Sec. 2.2
Sept. 21
Sec. 2.5
Sept. 28
Review
Oct. 5
Sec. 3.2
Oct. 12
Fall Break
Oct. 19
Sec. 4.2
Oct. 26
Review
Nov. 2
Sec. 5.2
Nov. 9
Sec. 5.5
Nov. 16
Sec. 6.2
Nov. 23
Sec. 7.1
Nov. 30
Sec. 7.2
Dec. 7
Sec. 7.5
Tuesday
Recitation)
Sept. 1
Sept. 8
Worksheet #1
Sept. 15
Worksheet #2
Sept. 22
Worksheet #3
Sept. 29
Worksheet #4
Oct. 6
Worksheet #5
Oct. 13
Sec. 3.5
Oct. 20
Worksheet #6
Oct. 27
Worksheet #7
Nov. 3
Worksheet #8
Nov. 10
Worksheet #9
Nov. 17
Worksheet # 10
Nov. 24
Dec. 1
Worksheet #11
Dec. 8
Worksheet #12
Wednesday
(Lecture)
Sept. 2
Sec. 1.2
Sept. 9
Sec. 1.4
Sept. 16
Sec. 2.3
Sept. 23
Sec. 2.6
Sept. 30
EXAM #1
Oct. 7
Sec. 3.3
Oct. 14
Sec. 3.6
Oct. 21
Sec. 4.3
Oct. 28
EXAM #2
Nov. 4
Sec. 5.3
Nov. 11
Sec. 5.6
Nov. 18
Review
Nov. 25
Holiday
Dec. 2
Sec. 7.3
Dec. 9
Review
Thursday
(Recitation)
Sept. 3
Sept. 10
Quiz #1
Sept. 17
Quiz #2
Sept. 24
Quiz #3
Oct. 1
Quiz #4
Oct. 8
Quiz #5
Oct. 15
Quiz #6
Oct 22
Quiz #7
Oct. 29
Quiz #8
Nov. 5
Quiz #9
Nov. 12
Quiz #10
Nov. 19
Quiz #11
Nov. 26
Holiday
Dec. 3
Quiz #12
Dec. 10
Review
Friday
(Lecture)
Sept. 4
Sec. 1.3
Sept. 11
Sec. 2.1
Sept. 18
Sec. 2.4
Sept. 25
Sec. 2.7
Oct. 2
Sec. 3.1
Oct. 9
Sec. 3.4
Oct. 16
Sec. 4.1
Oct. 23
Sec. 4.4
Oct. 30
Sec. 5.1
Nov. 6
Sec. 5.4
Nov. 13
Sec. 6.1
Nov.20
EXAM #3
Nov. 27
Holiday
Dec. 4
Sec. 7.3
Dec. 11
Review
Final Examination: Thursday December 17, 12:00 – 1:50 p.m.
3
Math0120Div-2101
Math 0120
PRACTICE PROBLEMS
1.1
REAL NUMBERS, INEQUALITIES,
AND LINES
PAGE 16
#8,9,14,18,24,25,29,32,39,42,44,46,58,61,64
1.2
EXPONENTS
PAGE 29
#6,15,26,29,35,38, 56,77,78,86,90
1.3
FUNCTIONS
PAGE 45
#2,3,8,10,17,22,26,29,30,34,49,50,66,75,80
1.4
FUNCTIONS, CONTINUED
PAGE 65
#1,4,8,16,21,25,28,40,52,55,66,71,75,84
2.1
LIMITS AND CONTINUITY
PAGE 90
#2,15,17,24,28,34,35,39,44,46,49,55,56,64,72
2.2
RATES OF CHANGE, SLOPES, AND
DERIVATIVES
PAGE 105
#2,7,9,20,23,27,30,42,44,60,61
2.3
SOME DIFFERENTIATION FORMULAS
PAGE 120
#6,12,16,20,24,26,30,32,35,38,48,50,57,62
2.4
THE PRODUCT AND QUOTIENT
RULES
PAGE 136
#4,11,14,23,26,30,35,38,42,48,51,52,55,62
2.5
HIGHER-ORDER DERIVATIVES
PAGE 149
#1,6,7,9,16,19,26,32,34,38,39,54,56
2.6
THE CHAIN RULE AND THE
GENERALIZED POWER RULE
PAGE 160
#3,8,16,17,24,31,34,38,41,46,51,53,54,58,64,66,78
2.7
NONDIFFERENTIABLE FUNCTIONS
PAGE 168
#1,2,3,4,5,12
3.1
GRAPHING USING THE FIRST
DERIVATIVE
PAGE 188
#1,2,3,4,9,12,16,19,24,32,36,44,47,53,59,66,67
3.2
GRAPHING USING THE FIRST AND
SECOND DERIVATIVES
PAGE 203
#6,8,13,18,20,21,27,29,44,50,53,57,67,79
3.3
OPTIMIZATION
PAGE 217
#2,5,7,14,17,21,23,26,36,37,40,45,46,51
3.4
FURTHER APPLICATIONS OF
OPTIMIZATION
PAGE 227
#1,3,4,6,8,9,12,18,22
3.5
OPTIMIZING LOT SIZE AND
HARVEST SIZE
PAGE 236
#1,4,5,8,9,10
3.6
IMPLICIT DIFFERENTIATION AND
RELATED RATES
PAGE 247
#3,10,12,17,18,20,22,25,28,30,34,39,45,52,57,60
4.1
EXPONENTIAL FUNCTIONS
PAGE 269
#9,10,11,14,16,18,19,24,28,34,36,39,46
4.2
LOGARITHMIC FUNCTIONS
PAGE 286
#1,4,10,11,15,19,21,28,32,38,43,50,60
4.3
DIFFERENTIATION OF EXPONENTIAL
AND LOGARITHMIC FUNCTIONS
PAGE 301
#2,4,8,10,13,18,22,26,28,30,34,37,42,43,54,57,58,
65,75
4.4
RELATIVE RATES AND ELASTICITY
OF DEMAND
PAGE 315
#3,6,9,14,17,21,24,29,32,36
4
5.1
ANTIDERIVATIVES AND
INDEFINITE INTEGRALS
PAGE 333
#5,10,15,20,23,30,32,33,40,43,46,48,56
5.2
INTEGRATION USING
LOGARITHMIC AND
EXPONENTIAL FUNCTIONS
DEFINITE INTEGRALS AND
AREA
PAGE 345
#3,6,8,11,14,17,22,25,28,34,36,37,44,45,49,54,58
PAGE 360
#3,4,14,21,22,25,28,34,38,45,50,56,60,66,71,75,
82,84,88,103,109
5.4
AVERAGE VALUE AND AREA
BETWEEN CURVES
PAGE 375
#3,6,10,22,29,33,37,44,46,57,63,64,66,67
5.5
CONSUMERS’ SURPLUS AND
INCOME DISTRIBUTION
PAGE 386
#4,6,10,12,13,14,16,21
5.6
INTEGRATION BY
SUBSTITUTION
PAGE 398
#2,7,13,16,24,29,32,33,36,39,42,50,53,60,
66,69,73
6.1
INTEGRATION BY PARTS
PAGE 418
#8,9,12,16,22,26,29,34,38,41,46,48,53,56,59
6.2
INTEGRATION USING TABLES
PAGE 429
#4,10,16,26,34,36,63,67
7.1
FUNCTIONS OF SEVERAL
VARIABLES
PAGE 505
#6,8,14,20,24,27,30,33,34,35
7.2
PARTIAL DERIVATIVES
PAGE 519
#8,10,15,16,18,21,24,26,30,33,36,43,46,50
7.3
OPTIMIZING FUNCTIONS OF
SEVERAL VARIABLES
PAGE 531
#2,5,8,16,19,21,25,26,29,36
7.5
LAGRANGE MULTIPLIERS AND
CONSTRAINED OPTIMIZATION
PAGE 557
#3,7,9,10,11,15,20,22,27,30,31,38
5.3
5