Math 122 Ð Y01 Calculus for Business Administration and Social Sciences

Summer 2017

COURSE SYLLABUS

 

Course and Contact Information:

 

Instructor: Ann Clifton

Office: LeConte 400G

E-mail: aclifton@math.sc.edu; Note: email is frequently the best way to contact me.

Class Meeting Info: MTWR 1:45 pm-3:10 pm in LeConte 112

Office Hours & Help Sessions: I will hold open office hours and help sessions in my office (LeConte 400G) TWR 12:00pm-1:00pm.  Feel free to drop by with your questions!  Other times are available by appointment.

Web Page: The syllabus, course outline, notes, handouts, and course announcements will be posted on the course webpage, people.math.sc.edu/aclifton/website/courses/122/Summer17/teaching.html.

 

Prerequisites: Qualification through the Math Placement Test or through a grade of C or better
in MATH 111 or 111I.

 

Learning Outcomes: Upon successful completion of this course, students should be able to:

á       Recall basic mathematical terms related to elementary algebraic, exponential, and logarithmic functions, and derivatives and integrals of such functions and express these terms in correct context.

á       Apply the methods of calculus to solve applications involving maxima, minima, rates of change, motion, work, and area under a curve.

á       Verbally interpret data given as graphs, tables, and equations and put into words the relationship between a function and its derivative or integral given in these forms as well.

á       Utilize a graphing calculator to solve problems, locate maxima and minima of a function, and analyze change in a function.

 

Required Materials:

 

Calculator: All students will need a graphics calculator for this class which will be utilized in class, on the homework assignments, and on portions of the exams.  The TI-83 or 84 is highly recommended.  No calculator with a computer algebra system will be allowed on exams or quizzes.  These include the TI-89 and TI-Nspire CAS, amongst others.

 

Text and Wiley Plus: Applied Calculus (5th ed), Hughes-Hallett, Gleason, Lock, Flath, et al., Wiley, 2014.  A hard copy of the text is not required since an eBook comes with the purchase of Wiley Plus, which we will use for the online homework.

 

Option 1 Ð Textbook (3-Hole Punched) plus Wiley Plus Access Code (includes eBook) or

Option 2 Ð Just the Wiley Plus Access Code (includes eBook).

 

If you donÕt mind using the eBook instead of a hard copy of the text, then Wiley Plus is all you need.  You can purchase Wiley Plus online by going to www.wileyplus.com.  On the home page, enter the six-digit code announced in class or search for your section by typing ÒUniversity of SC Columbia.Ó You will need to use your university email address.  Then you will have multiple options for purchasing access.

 

Exam Schedule and Grading Policy:

 

Tests: There will be three in-class exams worth 100 points each plus a final exam worth 200 points.  The final exam is cumulative and will include topics from throughout the semester.  There will be parts of every test that require a graphing calculator, including the final exam.  Students are required to bring their Student ID to class on the day of each exam.  The dates of the tests and final exam are as follows:

            Exam #1: Thursday, July 6

            Exam #2: Thursday, July 20

Exam #3: Thursday, August 3

Final Exam: Saturday, August 12, 12:30pm

 

Wiley Plus Homework:  Online homework will count for a total of 50 points.  This homework will be assigned over each section covered.  You will use Wiley Plus to do the online homework. The online system gives you immediate feedback and you are able to see the solution and/or helpful hints.  You also have as many attempts as you need to get each problem correct.

 

Quizzes:  There will be in-class quizzes that will be worth a total of 50 points once the lowest quiz is dropped.  I do NOT allow makeup quizzes!  If you miss an in-class quiz, you will receive a zero for that quiz.  These quizzes may or may not be announced.

 

Points Summary:

 

In-Class Exams

300 points (100 points each)

Final Exam

200 points

Wiley Plus Homework

50 points

Quizzes

50 points

Total

600 points

 

 

Grading Scale: Your final grade will be determined by the percentage of these points you have actually received.

 

A

90.0-100%

C

70.0-77.9%

B+

88.0-89.9%

D+

68.0-69.9%

B

80-87.9%

D

60.0-67.9%

C+

78.0-79.9%

F

below 60%

 

 

Late Work and Exam Makeup Policy:

 

Students are obligated to complete all assigned work promptly, to attend class regularly, and to participate in whatever class discussion may occur.

The following events or circumstances are potentially excusable absences:

á       Participation in an authorized University activity (such as musical performances, academic competitions, or varsity athletic events in which the student plays a formal role in a University sanctioned event),

á       required participation in military duties,

á       mandatory admission interviews for professional or graduate school which cannot be rescheduled,

á       participation in legal proceedings or administrative duties that require a studentÕs presence,

á       death or major illness in a studentÕs immediate family,

á       illness of a dependent family member,

á       religious holy day if listed on www.interfaithcalendar.org,

á       illness that is too severe or contagious for the student to attend class,

á       weather-related emergencies.

For more information, see the University Attendance Policy.  Note that Òabsence from more than 10 percent of the scheduled class sessions, whether excused or unexcused, is excessive, and the instructor may choose to exact a grade penalty for such absences.Ó

 

Missing In-Class Tests: I expect you to take all of the in-class tests.  If an excused absence causes you to miss a test, your final exam grade will replace that zero.  If you miss a test due to an unexcused absence, you will in all likelihood receive a zero on that test.

 

Final Exam: The final exam is 12:30pm-3:00pm Saturday, August 12, 2017.  Taking the final exam is mandatory.  Having the final rescheduled is extremely rare and is not permitted for reasons such as a plane ticket that was purchased earlier or attendance at weddings.  If a makeup is requested, you must make arrangements beforehand if at all possible.

 

Late Online Homework:  Technical difficulties are always possible when working with computers so plan ahead and get your online homework done early!  I am very hesitant to give extensions on the online homework.

 

Academic Integrity: Students are expected to act in accordance with the University of South Carolina Honor Code, which can be found here: https://www.sa.sc.edu/academicintegrity/honor-code-policy-information/. Any breach of the Honor Code will result in an F for the course.

I encourage students to work together on homework.  However, it is expected that you turn in your own work expressed in your own words.  Never copy someone elseÕs work and do not allow someone else to copy your work.  If there are duplications of portions of homework/quizzes where it is obvious that copying has occurred, then both parties will receive a zero on the entire assignment.

 

Where to Get Additional Help:  There are Teaching Assistants available to answer your questions in the Math Tutoring Center in LeConte College room 105.  The hours will be posted on the door.  This is an excellent resource!  Try to form a study group to study and learn with; it really works for some people. DonÕt forget about me!  I am available during office hours and by appointment to answer any question you may have.  The Academic Success Resources website also has additional information on resources available to students.

 

 

 

Tentative Course Outline

 

Class #

Section

Topic

 

1

1.1

Functions

1

1.2

Linear Functions

1

1.3

Rates of Change

2

1.4

Applications of Functions to Economics

2

1.5

Exponential Functions

2

1.6

The Natural Logarithm

3

1.7

Exponential Growth and Decay

3

1.8

Function Transformations

4

1.9

Power Functions & Proportionality

5

2.1

Instantaneous Rate of Change

6

2.1/2.2

Instantaneous Rate of Change /
The Derivative Function

7

2.2

The Derivative Function

7

 

Review

07/06

8

 

Test 1

9

2.3

Interpretations of the Derivative

9

2.4

The Second Derivative

10

2.5

Marginal Cost and Revenue

10

3.1

Power Rule

11

3.2

Derivatives of logs and exponentials

11

3.3

Chain Rule

12

3.4

Product and Quotient Rules

12

4.1

Local Maxima and Minima

13

4.2

Inflection Points

13

4.3

Global Maxima and Minima

14

4.4

Profit, Cost, and Revenue

15

 

Review

07/20

16

 

Test 2

17

 

5.1

Distance and Accumulated Change

17

 

5.2/5.3

The Definite Integral & Area

18

 

5.4

Interpretations of the Definite Integral

19

5.5

Fundamental Theorem of Calculus

20

 

6.1

Antiderivatives

21

 

6.2

Antiderivatives & Indefinite Integrals

22

6.3

Using FTC to Compute Integrals

23

6.6

Integration by Substitution

23

 

Review

08/03

24

 

Test 3[1]

25

5.6

Average Value

26

6.4

Consumer and Producer Surplus

27

 

Review

28

 

Review

08/12

12:30pm

 

Final Exam

 

 

NOTE: I will try not to make changes to the syllabus during the course of the semester.  However, if changes are necessary then they will be announced both in class and on Blackboard/course webpage and the revised syllabus will be posted on Blackboard/course webpage.