Math 180 – Business Calculus

Syllabus for section 8C2 – Summer, 2014

Instructor:Jennifer Strehler

Office:DP 2741

E-mail:

Website:

Textbook:MyLabsPlus is required for this section (this is different than MyMathLab).

Calculus with Applications, 9th edition by Lial, Greenwell &Ritchey. The publisher is Addison Wesley (merged with Pearson). A copy of the text is available for free in electronic form in MyLabsPlus. There is no need to buy a separate text.

Calculator:A calculator that does not graph is required for exams.

A graphing calculator is optional.

Office Hours

Since this is an online class, most of our communication will be online. If you have a question about a specific problem in the homework, please use the "ask my instructor" link in the homework software (I get a copy of the problem you're working on this way!)

Prerequisites

MAT 140 with a grade of C or better or an appropriate score on the Mathematics Assessment Test. It is presumed that you recall the material from College Algebra (MAT 140), as there is no time to review in this course.

Course (catalog) Description

This course introduces the concepts of functions and relations and the basic ideas of differential and integral calculus with applications to the fields of social science and business.

Learning Objectives

It is presumed that students will spend a minimum of 8 hours a week (logging in at least twice/week) in order to meet the following objectives:

1.Interpret the concept of function and its applications.

2.Compute limits of functions.

3.Determine Continuity of functions.

4.Use the definition of the derivative to find derivatives.

5.Evaluate derivatives of algebraic, exponential and logarithmic functions.

6.Use derivatives to solve optimization problems, motion problems, and problems

involving rates of change.

7.Use derivatives to analyze functions and their graphs.

8.Evaluate indefinite and definite integrals.

9.Use definite integrals to find area.

10.Analyze functions of more than one variable.

11.Use derivatives to solve optimization problems involving functions in more than

one variable.

12.Apply the concepts of differentiation and integration in business and social science.

13.Use technology to find limits, derivatives, and integrals.

Academic Integrity

Students, faculty and administration at OaktonCommunity College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

cheating,

plagiarism (turning in work not written by you or lacking proper citation),

falsification and fabrication (lying or distorting the truth),

helping others to cheat,

making unauthorized changes in official documents,

pretending to be someone else or having someone else to pretend to be you,

making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students with a fair hearing if a complaint is made. If you are found to have violated the policy, the minimum penalty is failure on the assignment and a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

Course Expectations

  • I expect that you will log into MyLabsPlus and work regularly (at least two times each week) toward the successful completion of this course.
  • I expect that your schedule will allow you to complete all assignments and take the exams /quizzes when they are scheduled. All exams, quizzes and assignments have firm due dates and requests for extensions will NOT be granted. The exams will be available in the testing center the week prior to the exam due date. Quizzes and homework can be completed early.
  • Academic integrity. All work is expected to be your own.
  • Ask for help when you need it. The tutoring centers (room 2400 DP in Des Plaines and A135 in Skokie)are excellent resources for help. The tutoring centers are available Monday – Thursday from 8am – 8pm during the summer semester
  • A calculator without the ability to graph is required for the exams. As such, it is best to practice solving problems in the method described in the text. For example, you will need to memorize the shapes of basic functions and be able to shift/stretch them from memory to answer questions on the exams without the use of a graphing calculator.

Communication

  • I will send several e-mails to the entire class during the course of the semester. It is your responsibility to ensure that the e-mail address on file with the registrar is the address to which you wish to receive course communication.
  • Please use e-mail as your primary means of communication. I will read and respond to e-mail at least once a day during the week. The time I check my e-mail is likely to be irregular. If you send me a message at 8:30 am & I checked my e-mail at 7:30 that morning, I may not get your message until whenever I check e-mail the next day. I will check e-mail at least once during the weekend (as defined by Oakton to be Fri – Sun).
  • I am teaching more than one course this term. Make sure you put MAT 180 in the subject line of your e-mail so that I know which class you are in (and that your e-mail is not spam!)
  • Please use complete sentences and avoid textspeak in your e-mail.

Assignments, Quizzes and Exams

All homework, quizzes and exams have firm dates. Extensions will NOT be granted.

Date Due
06/12/14 / Getting to know you assignment due (in quizzes)
06/13/14 / Chapter 1 homework and quiz due
06/20/14 / Chapter 2 homework and quiz due
06/26/14 / Chapter 3 homework and quiz due
07/01/14 / Chapter 4 homework and quiz due
06/26/14 – 07/03/14 / Midterm covering chapters 1 – 4 available
07/09/14 / Chapter 5 homework and quiz due
07/16/14 / Chapter 6 homework and quiz due
07/23/14 / Chapter 7 homework and quiz due
07/28/14 / Chapter 8 homework and quiz due
07/23/14 – 07/30/14 / Finalcovering chapters 5 - 8 available
  • Homework will be done through MyLabsPlus and is based on chapters 1 – 8 of the textbook. Homework must be completed according to the schedule above.
  • There will be eight chapter quizzes, which will be administered throughMyLabsPlus. Quizzes must be completed according to the schedule above. In order to take a quiz, you must have completed all homework for that chapter with a score of at least 70%. If you do not have at least a 70% on each assignment, you will not be able to take that chapter quiz.
  • There will be twoexams that will be administered at the testing center located on the Des Plaines campus of Oakton Community College.
  • The summer hours of our testing center are:

Mon – Thurs: 8:00 – 8:00

  • If you need to take the exam at the Skokie campus, it is your responsibility to inform me no later than June 19th. If you are not able to take the exams at one of our campuses, please contact Robin Nash at in order to make alternative arrangements as soon as possible. Arrangements must be made with the facility that will proctor your exam no later than June 19th.
  • You will be given 3 hours to complete each of the exams. If you arrive within 3 hours of the close of the testing center, you will only be allowed to work on the exam until the testing center closes and no additional time will be given for the exam. The dates that these exams are available are repeated below.

Grading

Midterm06/26/14 – 07/03/1430%

Final Exam07/23/14 – 07/30/1430%

Homework Average20%

Quiz Average20%

Course grades will be determined as follows:

90% - 100%A

80% - 89%B

70% - 79%C

60% - 69%D

Less than 60%F

A grade if "I" (Incomplete) must be formally requested of the instructor by the student and may be granted only if the student has missed no more than one test for the entire term and the student’s course average is at least 70. The decision to grant the "I" grade will be made by the instructor alone. No incomplete grades will be given without documented evidence of serious illness or circumstances.

Other Course Information

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Important Dates

June 9 Classes begin for summer 2014 eight-week session

June 19Last day to submit proof of residency, business service agreements and chargebacks/joint agreements

June 26Last day to change to Audit

June 26Last day to drop and have course dropped from record

July 3Last day for filing Graduation Petitions

July 7Independence Day holiday observance, no classes. College open.

July 8Last day to withdraw with a "W" (no withdrawals after mid-term)
Students will receive a grade in all courses in which they are enrolled after July 8.

July 24Incomplete (I) grades from spring 2014 semester for which faculty have not submitted final grades will

become an "F" after this date.

Outline of Topics

1.Functions and Limits

a.Functions and their graphs

b.Operations with functions

c.Limits

d.Infinity and limits

e.Continuity

2.The Derivative

  1. Definition of the derivative
  2. Differentiation rules for sums, products and quotients of functions
  3. Polynomial, rational and other algebraic functions
  4. The Chain Rule
  5. Higher order derivatives
  6. Implicit differentiation

3.Further Applications of the Derivative

a.Increasing and decreasing functions

b.Extrema and the First-Derivative Test

c.Concavity and the Second-Derivative Test

d.Optimization Problems

e.Business and economics applications

  1. Curve sketching
  2. Differentials and marginal analysis

4.Exponential and Logarithmic Functions

a.Derivatives of exponential and logarithmic functions

b.Exponential and logarithmic integrals

c.Exponential growth and decay

5.Integration and Its Applications

a.Definition and properties of the indefinite integral

b.Fundamental Theorem of Calculus

c.The area of a region bounded by two graphs

6.Techniques of Integration

a.Integration by substitution

b.Integration by parts and present value

c.Integration tables and completing the square

7.Functions of More than One Variable

a.Definition

  1. Partial derivatives

8. Recommended Technology

  1. Graphically, numerically and/or symbolically find limits
  2. Graphically, numerically and/or symbolically find derivatives
  3. Numerical and symbolic integration