MATH 142 Sec. 102 - Summer 2015
Instructor: Yanfang Yang, Office: BLOC 507A
Email: yyfang@math.tamu.edu
Class time & location: MTWRF 12:00 pm - 13:35 pm, BLOC 161
Office hours: MTWRF 4:30 - 5:00 pm, or by appointment
Course webpage: http://www.math.tamu.edu/~yyfang/math142
Textbooks: Calculus: Applications and Technology, 3rd edition by Tomastik
Note: The e-book can be accessed through WebAssign.
Information on how to access your eBook can be found under the “Student Information Page” at
http://www.math.tamu.edu/courses/eHomework. 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 not required.
Course Name: (CREDIT 3.0) Business Mathematics II.
Prerequisites: High school algebra I and II and geometry or satisfactory performance on a
qualifying examination.
Course Objectives: This course focuses on quantitative literacy in mathematics found in business
and everyday life. At the conclusion of this course, students should be able to:
I. Identify basic functions, piecewise functions and their properties.
II. Find cost, revenue, and profit functions and use them to determine a company's break-even
point.
III. Understand exponential and logarithmic functions as well as their applications to business and
growth/decay.
IV. Compute limits numerically, graphically, and algebraically.
V. Apply limits to the concepts of continuity, asymptotes, and the definition of the derivative.
VI. Calculate derivatives using differentiation formulas.
VII. Apply derivatives to curve sketching, optimization, and business applications such as
elasticity of demand and marginal analysis.
VIII. Compute antiderivatives and understand the concept of integration as it relates to area.
IX. Use the Fundamental Theorem of Calculus to evaluate integrals
X. Apply integration to areas between curves, accumulated change, average value of a function,
and business applications such as consumers' and producers' surplus.
XI. Understand functions of two variables as well as their application to business.
XII. Compute 1st and 2nd order partial derivatives, and then use them to find maxima and minima
of functions of two variables.
Course Description: Derivatives, curve sketching and optimization, techniques of derivatives,
logarithms and exponential functions with applications, integrals, techniques and applications of
integrals, multivariate calculus.
Calculator Policy: The TI-83, TI-83 Plus, or TI-84 graphing calculator is required for this course.
Use of any other calculator is not allowed, and the use of other calculators will not be discussed in
class. Sharing calculators during quizzes and exams is strictly forbidden and is considered an act of
scholastic dishonesty. The only programs you will be allowed to have on your calculator are those
(if any) that I give you in class. All other programs must be erased from your calculator with no
exceptions.
Email Policy: Check your neo email account EVERY day. You are responsible for any information
I send via email. If you send an email to me, please be sure to include your full name and course
number (142) in the email. If any of this information is missing, it will delay my response. Note:
Because of privacy rights, I cannot discuss grades via email or over the phone.
Cell Phone Policy: As a courtesy to me and your classmates, all cell phones must be off or in silence
mode during lecture.
Common Exams: Tentative Exam Schedule:
Exam I: June 10(W), Exam II: June 19(F), Exam III: June 30(T)
Final Exam: July 6(M), 01:00 pm-03:00 pm
NOTE: Please bring your picture ID, scantron and approved calculator to the exams.
Homework: all homework will be assigned through WebAssign online system every week. For
more
information
regarding
online
homework
please
visit
http://www.math.tamu.edu/courses/eHomework/.
A
list
of
suggested
homework
problems
can
be
found
at
http://www.math.tamu.edu/courses/math142/142suggested_homework.pdf. You will not turn in
the textbook homework.
Grading policy for online homework: Due to the pace of the summer session, your online
homework will be graded using a sliding scale (i.e., you do not have to get all of the problems
correct to receive a 100. In WebAssign, when you work a problem correctly, you will see that you
have earned one point (partial points are possible for questions with multiple parts). Since each
homework has a different number of problems and we are using a sliding scale, each homework will
be worth a total of 10 points (regardless of the number of questions in the assignment).
The following categories are based on the number of questions in each homework. In each category,
the number of WebAssign points necessary to receive the corresponding homework points is shown.
Remember, for each homework, you can receive up to 10 homework points (this would mean getting
a100 assignment since W.A. will only show the number of problems correct.
Table 1: Homework has 16 or more questions:
W.A. Points
H.W. Points
Example 1: The homework for
section 1.5 contains 16 questions.
After 3 attempts, W.A. shows you
0
more than 0 but less than 2
0
2
2 or more but less than 4
4
4 or more but less than 6
6
have earned 6.5 points (6.5
problems correct). Then, your
6 or more but less than 8
8
homework grade is 8/10 (or 80%).
8 or more 10
10
Table 2: Homework has 10 to 15 questions (inclusive):
W.A. Points
H.W. Points
Example 2: The homework for
0
more than 0 but less than 2
0
2
section 5.6 contains 10 questions.
After 3 attempts, W.A. shows you
2 or more but less than 4
5
have earned 2 points (2 problems
4 or more but less than 6
8
6 or more
10
correct). Then, your homework
grade is 5/10 (or 50%).
Table 3: Homework has 4 to 9 questions (inclusive):
W.A. Points
0
H.W. Points
0
more than 0 but less than 1
3
1 or more but less than 2
5
Example 3: The homework for
section 6.4 contains 5 questions.
After 3 attempts, W.A. shows you
have earned 0.5 points (1/2 of a
2 or more but less than 3
8
problem
3 or more
10
homework grade is 3/10 (or 30%).
correct).Then,your
Quizzes: Quizzes may be in-class or take-home, announced or unannounced throughout the
semester. Quizzes may be given at any time during class, so make sure you arrive on time to each
class and do not leave the class early. You will be expected to show all of your work, including
calculator methods, on all problems for full credit, unless it is stated otherwise.
Grading policy: Your grade will be determined by three exams, a final exam, quizzes and
homework. The weights of each are as follows:
• average of exam 1, 2 and 3 = 45%
• quizzes = 15%,
• homework = 15%
• final exam = 25%
The final letter grade will at least be as generous as follows: A: 90 – 100%; B: 80 – 89%; C: 70 –
79%; D: 60–69%; F: 0 – 59%.
Any request for re-grading of a test must be done within one week of the day on which it is returned
to you. You cannot make any change on the problems that need to be re-graded.
Late work policy: Late work (for which you do not have a University approved excused absence)
will NOT be accepted.
Makeup policy: Make-ups for missed exams will only be allowed for a university approved excuse
in writing. Wherever possible, students should inform the instructor before an exam is mis sed.
Consistent with University Student Rules, students are required to notify an instructor by the end of
the next working day after missing an exam. Otherwise, they forfeit their rights to a make-up.
Getting help: You are encouraged to ask questions both in class and outside of it. I am available to
answer questions in office hours and by appointment. You may also contact me via email with you
questions.
Help sessions: http://www.math.tamu.edu/courses/helpsessions.html
Week in review: http://www.math.tamu.edu/courses/weekinreview.html
Computer help sessions: http://www.math.tamu.edu/courses/calclabhelp.html
3Free tutoring service: http://tutor.tamu.edu/
Attendance: Attendance is required for each regularly scheduled class. If you have to miss the class
you are solely responsible for studying the material you missed. To find out what you missed contact
other students in the class. For absence related to injury or ill-ness, students who are absent from
the class for two or more days should provide the instructor with confirmation from a medical
provider for an excused absence.
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.
Honor code: “An Aggie does not lie, cheat, or steal or tolerate those who do”. The Honor Council
Rules and Procedures are found on the web (http://www.tamu.edu/aggiehonor).
Copyrights: All printed handouts and web materials are protected by US copyright laws. No
multiple copies can be made without written permission from the instructor.
Tentative schedule:
Week #
Lecture Material(Sections)
Description
1
A.8, 1.0, 1.1 topics, 1.2 topics,
1.3
Basic Functions and Shifts, Complete Graphs,
Overview of Increasing/Decreasing, Concavity,
and Continuity,
Piecewise-Defined Functions,
Break-Even Analysis and Market Equilibrium,
Exponential Functions
1
1.5, 3.1, 3.2
Logarithmic Functions, Limits and Continuity,
2
3.3
Rates of Change
Review The Derivative, Review Exam 1
2
Exam 1, 4.1, 4.2. Exam 1
Simple Derivative Rules and Marginal Analysis ,
covering A.8,1.0, 1.1 topics,
Product and Quotient Rules
1.2 topics, 1.3, 1.5, and 3.1-3.3
2
4.3, 4.4, 4.5
Chain Rule, Derivatives of Exponential and
Logarithmic Functions, Elasticity of Demand
3
5.1, 5.2, 5.3
Analyzing Graphs with the First Derivative,
Analyzing Graphs with the Second Derivative,
Limits at Infinity
Curve Sketching Techniques, Absolute Extrema
3
5.4, 5.5
3
5.6 Exam 2
Exam 2 covering 4.1-4.5 and
5.1-5.6
Review Optimization, Review Exam 2
4
4
6.1, 6.2.
6.3, 6.4, 6.5
Antiderivatives, Substitution
Riemann Sums and Estimating Distance, The
Definite Integral, Fundamental Theorem of
Calculus and Average Value of a Function
4
6.6, 6.7
Area Between Curves, Producers and Consumers
Surplus
5
8.1, 8.2
Review Functions of Several Variables, Partial
Derivatives, Review Exam 3
5
Exam 3, 8.3 Review. Exam 3
Extrema, Review for Final Exam
covering 6.1-6.6, 6.7 topic, and
8.1-8.2;
6
FINAL EXAM
Comprehensive Final Exam covering all previous
sections as well as 8.3