SYLLABUS
Math 142:202 Business Mathematics II
Summer II, 2015
Texas A&M University
MTWRF 10:00-11:35 AM, Blocker 121
Instructor: Minh Kha
Office: Blocker 616
Office Hours:
• Monday-Thursday 1:30 - 2:15 PM at Blocker 616
• or by appointment
• no office hours on exam days
Email address: kha@math.tamu.edu
Course webpage: http://www.math.tamu.edu/~kha/Summer2015/Math142.html
Textbook:
Calculus: Applications and Technology, 3rd ed. by Tomastik.
Note: You are not required to purchase a hard copy of the textbook because when you registered for this class, you
paid for an electronic version of the textbook and access to your computer homework. For more information, visit http:
//www.math.tamu.edu/courses/eHomework, then choose “Student Information Page”. You are welcome to purchase a
physical copy of the textbook or a loose-leaf copy of the text if you prefer, but this is optional.
Course Description: Business Mathematics II. CREDIT: 3. Derivatives, curve sketching and optimization, techniques
of derivatives, logarithms and exponential functions with applications, integrals, techniques and applications of integrals,
multivariate calculus.
Prerequisites: High school algebra I and II and geometry or satisfactory performance on a qualifying examination.
Calculator Policy: You will be required to have either a TI-83, TI-84 (Plus or Silver Editions are fine), or TI-Nspire
(non-CAS version). These are the only types of calculators that you are allowed to use on most quizzes and exams. You
will also be required to reset memory before each exam and quiz. Note that it is considered CHEATING to have notes,
formulas, or programs in your calculator or to share calculators during quizzes and exams. Consequences for cheating
will be severe. If there are any programs that you want to keep for personal use, you will want to save them to your
computer so that you can reload them after your final exam if you wish.
Email policy: Please check your official TAMU email account DAILY. Due to privacy rights, I cannot discuss grades
over email or phone. When you send me any email, please INCLUDE in the email subject your FULL name, your course
number MATH 142, and a brief description of the content of your email as well. It will delay my response if any of this
information is missing.
Cell Phone Policy: As a courtesy to me, and your classmates, all cell phones must be turned OFF or in silent
mode during class hours, office hours, or exams. If your phone is in silent mode during the class, you are NOT
allowed to text messages, playing games or use any social network.
Grading Policy:
WebAssign Homework
Quizzes
Exam I
Exam II
Exam III
Final Exam
Total
15%
15%
15%
15%
15%
25%
100%
90% ≤ A ≤ 100%
80% ≤ B < 90%
70% ≤ C < 80%
60% ≤ D < 70%
00% ≤ F < 60%
Grade Disputes: Any questions regarding grading/scoring must be dealt with BEFORE LEAVING class at the day
the assignment is returned. You have two days to resolve my errors in arithmetic.
Exams: There will be three in-class exams and one comprehensive final exam. The three regular exams will be multiple
choice and workout. The final exam will be two hours long and all multiple-choice. You must work exams in pencil.
After entering the classroom on exam days, you will not be allowed to leave until you turn your exam in. You will not be
able to use scratch paper. You must bring your picture ID (TAMU student ID or Driver License), scantron and approved
calculator to your exams.
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Tentative dates for the in-class exams are as follows:
Exam I
Exam II
Exam III
Thursday, July 16
Tuesday, July 28
Thursday, August 6
Please see the Make Up Policy.
The final exam will be given on TUESDAY, AUGUST 11, 10:30 a.m. – 12:30 p.m.
Quizzes: Please bring some extra blank papers with you every day for quizzes. You MUST write your full name at the
beginning of your paper. Quizzes may be announced (see calendar) or unannounced, in-class or take home. Please see
the Make-Up Policy.
WebAssign Homework:
https://www.webassign.net/tamu/login.html
Go to the provided link to access your WebAssign Homework. Homework will be due frequently (see calendar). There
will be no make-ups or extensions on homework. If you have questions on the homework, please visit me during office
hours, study previous Week-in-Reviews, or go to help sessions. A useful note is that a few times during Information on
Help Sessions will be posted on the Math Departmental Webpage:
http://www.math.tamu.edu/courses/helpsessions.html.
More information regarding WebAssign Homework:
• Each assignment has a “practice” version and a “homework” version. In the practice version, you are given 20
attempts for each question. In the homework version, you have 3 attempts for each question with unlimited time
before the deadline to submit.
• In the practice version, after submitting each answer, you will see the correct answer. It is highly encouraged that
you work on the practice version before the homework, which helps you identify the format you should use for your
answers in the WebAssign Homework.
• Only the homework versions will be graded. The practice versions are NOT counted toward your grade.
• Make sure you have Java and Flash installed on the computer you are using to do WebAssign Homework.
• If you have any technical difficulties with WebAssign, please fill out the “Student Help Request Form” found at
http://www.math.tamu.edu/courses/eHomework/.
• I will not give an extension due to technical difficulties, so be sure to start your homework well in advance so that
you have time to resolve any technical issues.
eCampus:
http://ecampus.tamu.edu/
I will post grades on eCampus.
Attendance: I strongly encourage you to attend and participate in every lecture. On occassion, I may choose to take
attendance. You must arrive and be fully prepared for class (including reading notes and textbook) by the class start
time to be ready to actively get involve in the class during lectures. You are expected to stay the entire class time unless
you notify me prior to class. I recommend you to find a study partner to find out details on days you have to miss.
Expectations: I expect you to have read the material and attempted the examples before class, and I expect you to
treat me with respect. You can expect me to be prompt and consistent in grading and treat you with respect.
Make-Up Policy: No make-ups will be given without written evidence of an official University excused absence (see
University Student Rules). In addition, you MUST notify me NO LATER than the end of the second working day after
the missed assignment. Sending me a quick email as soon as you know you will be absent helps me make preparations
that may be impossible if you don’t notify me:
... the student must notify his or her instructor in writing (acknowledged e-mail message is acceptable) prior
to the date of absence if such notification is feasible. In cases where advance notification is not feasible
(e.g. accident or emergency) the student must provide notification by the end of the second working day after
the absence. This notification should include an explanation of why notice could not be sent prior to the
class. (Section 7.3 of the University Student Rules)
If no such notice is given, you forfeit your rights to a make-up. I will not accept the Explanatory Statement for Absence
from Class form as sufficient written documentation of an excused absence.
Quizzes: Depending on the situation, I may drop some of your lowest quiz grades. As long as you have proper documentation and make arrangements with me in a timely manner (see the Make Up Policy), you will be allowed to make up
work missed.
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Homework: There will be no make ups or extensions on homework.
Exams: No make-up exams will be given without an official, written, University Excuse. You must notify me in advance
to ensure the right to a make-up. If advance notice is not possible (i.e. sudden illness), you MUST contact me within
TWO working days of the missed exam; otherwise, you forfeit the right to a make-up. An absence for a non-acute medical
service or regular check-up does not constitute an excused absence. According to the student rules, “If an instructor has
a regularly scheduled make up exam, students are expected to attend unless they have a university approved excuse.”
The Math 142 exam makeup dates are the dates that the math department offers that are less than a week from the date
of the missed exam. For more information please go to http://student-rules.tamu.edu/rule07.
Late Work Policy: Late work will not be accepted without a University excused absence.
Academic Integrity Statement:
An Aggie does not lie, cheat or steal, or tolerate those who do.
It is my obligation (and yours as an Aggie) to report any violations of the Aggie Honor Code to the Honor Council. I
further refer the student to the Honor Council Rules and Procedures on the web at
http://www.tamu.edu/aggiehonor
Students with Disabilities: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that
provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires
that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of
their disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services, in
Cain Hall, Room B118, or call 845-1637. For additional information visit
http://disability.tamu.edu
Sources of Help:
• Help Sessions: Help sessions are an opportunity for you to ask questions and get help with your homework, especially
if you cannot attend my office hours. The dates and times will be posted on the departmental web page as well as
on my own.
• Instructor Office Hours: I am always willing to help you. You are encouraged to ask questions both in and out of
class, come to office hours, talk to me, send emails, etc.
• Your Classmates: Ask each other for assistance. You can form study groups to work effectively together for
understanding the materials.
• Week-in-Review: There is no Week in Review in summer. However, you can look at:
http://www.math.tamu.edu/jdkim/math142spring2015weekinreview/
and
http://www.math.tamu.edu/jkessler/142/12C/WIR14212C.html
for some Week-In-Review sources in the past of other instructors. These are excellent resources for studying for
exams.
• Practice: Besides quizzes and WebAssign homework, there are suggested homework problems and old Week In
Review problem sets that you may to look through.
Copyright Policy: All printed handouts and web-materials are protected by US Copyright Laws. No multiple copies
can be made without written permission by the instructor.
Tentative Schedule: (See last page of the syllabus.)
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Learning Objectives: This course is focused on quantitative literacy in mathematics found in both business and
everyday life. Upon successful completion of this course, students will be able to:
• Logically formulate mathematical variables and equations to quantitatively create mathematical models representing
problems in everyday life, as well as business, so that calculus can be applied to achieve an optimal solution.
• Quantitatively analyze business concepts such as market equilibrium and break-even analysis.
• Demonstrate knowledge of basic functions, including exponentials and logarithms, to solve financial investment
problems.
• Identify patterns in numeric data to calculate limits and derivatives of functions numerically.
• Justify whether a function is continuous or not using the mathematical definition of continuity.
• Understand the derivative as a rate of change in order to quantitatively apply it to everyday life as well as business
applications such as marginal analysis and elasticity of demand.
• Investigate the relationship between a function and its first and second derivatives, and use the information obtained
from its derivatives to identify pertinent information about the function.
• Apply the definite integral to quantitatively determine solutions to problems in everyday life and business such as
area between curves, average value of a function, and producers’ and consumers’ surplus.
• Recongize and appreciate the relationship between the derivative (rate of change) and the definite integral
(accumulation of change), and utilize the Fundamental Theorem of Calculus as the bridge between the two.
• Generalize and extend the pattern of various calculus techniques to functions of two variables in order to find
solutions to both everyday and business problems such as marginal productivity of labor and capital.
Core Objectives:
• Critical Thinking
– Students will analyze a function and justify whether or not it is continuous using the definition of continuity.
– Students will use inquiry to determine the best method for taking derivatives of complicated functions.
– Students will identify and categorize information about a function in order to construct a graph of its derivative.
– Students will apply calculus to find innovative ways to graph complicated functions without the aid of technology.
– Students will analyze and synthesize data and think creatively to develop mathematical models for optimization
purposes.
– Students will examine how the Fundamental Theorem of Calculus connects differential and integral calculus.
• Communication Skills
– Students will symbolically relay mathematical information and concepts by creating variables and writing
equations.
– Students will recognize, construct, and interpret graphs of basic functions.
– Students will write mathematical information symbolically to describe the behavior of functions.
– Students will justify results that use mathematical definitions such as the definition of continuity by writing
proofs.
– Students will explain verbally in class the connection between derivatives, rates of change, and slopes of tangent
lines.
– Students will develop sketches of the graphs of complicated functions by analyzing their first and second
derivatives.
– Students will explain (both in writing and verbally) mathematical solutions to problems.
– Students will be required to answer questions during lecture concerning topics discussed in class.
• Empirical and Quantitative Skills
– Students will evaluate limits numerically and use the information to draw conclusions about the behavior of a
function.
– Students will calculate a derivative numerically and explain the result in the context of the problem.
– Students will use marginal analysis to make informed and quantitative business decisions.
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– Students will manipulate empirical data to develop a mathematical model to use in an optimization problem,
such as maximizing revenue or minimizing cost, and then apply calculus to find and interpret the optimal
solution.
– Students will apply the Fundamental Theorem of Calculus to quantitatively compute the accumulated change
of a quantity.
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TENTATIVE SCHEDULE for Math 142:202 Business Math II, summer II, 2015, July 7 - August 12, TAMU.
Mon
Tues
Thu
Fri
July 8
July 7
Intro to Course & Syllabus WA due HW 00
(Bring a copy of the
Notes: 1.1, 1.2
syllabus with you)
Notes: A8-1.1
July 9
WA due HW 01
Notes: 1.2, 1.3
Quiz 1: A8, 1.1
July 10
Last day to add/drop class
WA due HW 02
Notes: 1.3, 1.5
Quiz 2: 1.1, 1.2
July 13
WA Due HW 03, 04
Notes: 1.5, 3.1
Quiz 3: 1.3, 1.5
July 14
WA Due HW 05, 06
Notes: 3.2, 3.3
July 15
WA Due HW 07
Notes: 3.3 and Review
Exam I.
Quiz 4: 3.1, 3.2, 3.3
July 16
EXAM I: topics from A.8,
1.0, 1.1, all of 1.2, 1.3, 1.5,
3.1-3.3
July 17
WA Due HW 08
Notes: 4.1 – 4.2
July 20
WA Due HW 09,10
Notes: 4.2, 4.3
Quiz 5: 4.1, 4.2
July 21
WA Due HW 11
Notes: 4.3, 4.4
July 22
WA Due HW 12
Notes: 4.4, 4.5
Quiz 6: 4.3, 4.4
July 23
WA Due HW 13
Notes: 5.1, 5.2
Quiz 7: 4.4, 4.5
July 24
WA Due HW 14, 15
Notes: 5.3, 5.4
Quiz 8: 5.1, 5.2
July 27
Last day Q-drop
WA Due HW 16,17
Notes: 5.5, 5.6
Quiz 9: 5.3, 5.4
July 28
July 29
EXAM II: 4.1 – 4.5, 5.1 – WA Due HW 18,19
5.6
Notes: 6.1, 6.2
July 30
WA Due HW 20,21
Notes: 6.2, 6.3
Quiz 10: 6.1, 6.2
July 31
WA Due HW 22
Notes: 6.4, 6.5
Quiz 11: 6.2, 6.3
August 3
WA Due HW 23
Notes: 6.5, 6.6
August 4
WA Due HW 24
Notes: 6.6, 6.7
Quiz 12: 6.4, 6.5
August 10
August 11
WA Due HW 29
FINAL EXAM
Last day of class
10:30 am - 12:30 pm
Due Quiz 15
Review for Final Exam
Wed
August 5
August 6
WA Due HW 25, 26
EXAM III: 6.1 – 6.7, 8.1 –
Notes: 8.1, 8.2
8.2
Quiz 13: 6.6, 6.7
Quiz 14 (take home): 8.1,
8.2
August 7
WA Due HW 27, 28
Due Quiz 14
Notes: 8.2 (Review), 8.3
Quiz 15 (take home): 8.2,
8.3