Math 156 - Tacoma Community College

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Math& 148 Business Calculus Syllabus

Spring 2015

Section 6112

8-3

12:30 – 1:20 daily

Instructor: Meredith LaFlesh

Office: F1-55

Office Hours: MWF 11:30 – 12:15, TTh 8:30 – 9:15, and by appointment

E-mail: mlaflesh@tacomacc.edu

Phone: (253) 460-4337

Course Overview: Welcome to calculus! Math 148 shows you all the calculus you will need in order to understand and solve problems in business, economics, and statistics. Calculus is a powerful tool for understanding the world and making predictions about it. Because it is so powerful, calculus can be a little hard to understand at first, but don’t let this worry you! Be sure to ask questions in class and come to office hours, and you will master the material more quickly than you expect!

Instructional Methods Used: In class, we will use a combination of lecture and small group work. Outside of class, online homework will use WebAssign, and a project will require the use of Excel ® and possibly some web research.

There will also be periodic required vidoes to watch.

Course Description: (Formerly MATH-112) (For business, economics, social sciences and other fields requiring minimal calculus.) Topics include the derivative, rates of change, maxima and minima, the integral and applications of integrals. Required: graphing calculator and knowledge of Excel spreadsheets including graphing.

Required Text: Finite Mathematics And Applied Calculus with WebAssign access , 6e, Waner and Costenoble with

WebAssign access

Other Available Text: Student Solutions Manual

Calculator: A graphing calculator is required for this course. The TI-83+ or TI-84 is strongly recommended. It is the calculator that will be used during lectures and the only calculator that will be supported in this class. It also has financial applications which other calculators do not have.

If you choose to use another calculator, I will not be able to help you learn it. You are responsible for knowing how to operate it.

The TI-nSpire, calculators on cell phones and calculators that do symbolic manipulation such as the TI-89 and TI-93 will not be allowed on exams.

Web Access: Access to the internet (from home or from campus) is required for this course. Homework and project assignments will be posted on my website: www.tacomacc.edu/home/mlaflesh .

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Course Objectives: The numbers after each outcome refer to the Program Learning Outcomes below.

Upon successful completion of this course, the student should be able to:

1. Estimate derivatives numerically and graphically. (1, 3)

2. Interpret the derivative as a rate of change and apply it to business and economics problems, including marginal analysis. (2, 4)

3. Differentiate polynomial, radical, exponential, and logarithmic functions using the Product, Quotient, and Chain rules.

(3, 4)

4. Use calculus to optimize functions, including functions modeling revenue, cost, and profit. (1, 2, 3, 4)

5. Estimate definite integrals numerically and graphically. (1, 3)

6. Algebraically determine antiderivatives of polynomial, radical, and exponential functions. (3)

7. Use the definite integral in the context of business and economics applications to find total change from a rate of change. (2, 3, 4)

8. Use graphing calculators and Excel as appropriate. (5)

9. Write clear and complete solutions to mathematical problems, including correct notation and written explanations when appropriate. (4)

Program Learning Outcomes: The course outcomes below refer to the following Math Department Learning

Outcomes:

The abbreviations after each outcome refer to the Degree Learning Outcomes below. Students will demonstrate increasing levels of mastery of the Program Learning Outcomes throughout the developmental math curriculum.

Upon successful completion of the Quantitative Skills requirement for the Associates Degree, students will:

1. Interpret, analyze, and create graphs and charts that communicate quantitative or relational information (COM, COK,

CRT).

2. Determine, create, and use appropriate and reasonable mathematical constructs to model, understand, and explain phenomena encountered in the world (COK, COM, CRT).

3. Determine and carry out an appropriate algorithm to solve problems that are amenable to mathematical solutions

(COK, CRT).

4. Communicate mathematical information formally, using appropriate math notation and terminology, and informally by using everyday language to express ideas (COK, COM).

5. Use technology to analyze and solve mathematical problems and to effectively communicate solutions to problems, particularly those that cannot be solved efficiently by other means (COK, COM, CRT, IIT).

Degree Learning Outcomes: Upon completing a degree at Tacoma Community College, students will be able to:

Core of Knowledge (COK)

Demonstrate a basic knowledge of each of the distribution areas (Written Communication, Humanities, Quantitative

Skills, Natural Sciences and Social Sciences; or, as applicable, specific career training programs), integrate knowledge across disciplines, and apply this knowledge to academic, occupational, civic and personal endeavors.

Communication (COM)

Listen, speak, read, and write effectively and use nonverbal and technological means to make connections between self and others.

Critical Thinking and Problem Solving (CRT)

Compare, analyze, and evaluate information and ideas, and use sound thinking skills to solve problems.

Information and Information Technology (IIT)

Locate, evaluate, retrieve, and ethically use relevant and current information of appropriate authority for both academic and personal applications.

Living and Working Cooperatively/ Valuing Differences (LWC)

Respectfully acknowledge diverse points of view, and draw upon the knowledge and experience of others to collaborate in a multicultural and complex world.

Responsibility & Ethics (RES)

Demonstrate an understanding of what constitutes responsible and ethical behavior toward individuals, the community, and the environment.

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Class Rules

Each person in this class is entitled to respect. It is important to me that you show respect for your fellow students and for the learning process. These rules are designed to ensure that all students get the respect they deserve and the

learning they have paid for.

1. When one person is talking, please listen quietly.

2. Please turn off your cell phone, pager, etc. before class begins, as the noises they make distract people who are trying to learn.

3. Please do not engage in disruptive behaviors (excessive talking, arriving late, leaving during class, etc.).

The first time, you will receive a verbal warning.

The second time, you will be required to leave class.

You may not return to class until you have made an appointment with me, and we have come to an agreement as to how to better support learning in the class. Assignments missed because of behavior cannot be made up.

4. If you intend to bring people (especially children) who are not enrolled to class, you must get permission from the instructor first, and the visitors must follow all class rules.

5. You are welcome to bring food and beverages to classes held in most buildings on campus as long as you do not distract other students and you clean up after yourself.

6. If you want to succeed in this class, you need to attend regularly. If you cannot be in class on a given day, let me know ahead of time, otherwise, there will be no way for you to make up credit for missed in-class assignments. But, notifying me does not guarantee you can make up the missed assignment.

7. Come to class on time. Arriving late to class distracts your fellow students and disrespects the learning process.

8. Late work will not be accepted. If you are late (even one second), your work will be late.

9. Using your TCC e-mail account is required for this course. These accounts are provided for each student. You can check your TCC e-mail from any computer on campus as well as from any off-campus computer that has access to the Internet. You should check your e-mail at least once a day because I will use your TCC e-mail account to send you class assignments and information. If class is canceled due to weather, or if I will not be able to attend class due to illness, I will e-mail you no later than 7:30am. I will also occasionally send information about scholarships and other things I think you could use, but I will never send spam.

10. Academic dishonesty is unacceptable. As stated in the TCC catalog: “students are expected to be honest and forthright in their academic endeavors. Cheating, plagiarism, fabrication, or other forms of academic dishonesty corrupt the learning process and threaten the learning environment for all students.” Students who engage in behaviors that may be interpreted as cheating will receive a zero score on the assignment in question. A second offense will result in an “E” course grade. Common "cheating" behaviors include

 communicating (including using cell phones) with another person while an exam is going on in the room,

 using notes, cell phones, or other resource material not specifically allowed during an exam,

 copying or allowing another student to copy answers during an exam,

 talking to someone outside of your group during a Group Solve,

 presenting another person’s work as your own, and

 giving other students the opportunity to do any of the above.

It is your responsibility to be honest and to appear honest.

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General Information

Students with Special Needs: All students are responsible for all requirements of the class, but the way they meet these requirements may vary. If you need specific academic auxiliary aids or services due to a disability, please contact the Access Services Office in Building 7 (253) 566-5328. They will require you to present formal, written documentation of your disability from an appropriate professional. When this step has been completed, arrangements will be made for you to receive reasonable auxiliary aids or services. The disability accommodation documentation prepared by Access Services must be given to me a minimum of one week before the accommodation is needed so that appropriate arrangements may be made.

Withdrawing From The Class: If you decide for any reason to stop attending class, you should withdraw. It is your responsibility to withdraw yourself. No one else can do it for you. This may allow another student who wants to take the class to enroll. If you do not withdraw yourself, you will receive a “V” or an “E” grade for the class.

For Help With Homework

The Al-Kwarizmi Math Advising and Resource Center: The Math Center is located in 19-22.

Website: www.tacomacc.edu/marc

 Math tutors are available to help with math questions on a drop in basis. Please see the webpage or the bookmark passed out in class to find out the hours.

 For best results, bring specific questions or problems you are working on to ask about.

 Even if you do not have any problems, the MARC is a pleasant place to study. You are always welcome!

The Tutoring Center: The Tutoring Center is located on the second floor of building 7. Student tutors are available by appointment for one-on-one tutoring. The hours during which tutoring is available in specific subjects may vary from quarter to quarter. See the webpage www.tacomacc.edu/wtc for hours.

The BEC (Business Education Center): The BEC is located on the third floor of building 16. Student tutors are available by appointment for one-on-one tutoring. The hours during which tutoring is available in specific subjects may vary from quarter to quarter. You may contact the BEC at 460 – 4411 for specific information.

The Open Door Policy: I want you to get the help you need when you need it. If my door is open, please come in, sit down, and tell me what I can do for you. I am, of course, always available during my scheduled office hours.

Good Websites

Meredith’s webpage: www.tacomacc.edu/home/mlaflesh

The textbook’s site: http://www.zweigmedia.com/RealWorld/tccombop.html

For Calculator Help: http://education.ti.com/us/product/tech/84pse/guide/84pseguideus.html

For Algebra Review: http://www.khanacademy.org

http://purplemath.com

For nice graph paper: http://printfreegraphpaper.com

Getting Your Grade: You can check your grade regularly on-line in the gradebook in Canvas. If you find an error, you have two weeks from the day the assignment was recorded to bring it to my attention.

Chain of Command: If you have questions or complaints about your grade or any other aspect of the class, please follow the steps below:

1. See me and present your case in a professional, unemotional manner. I am always willing to listen to a good argument. If I am wrong, I will admit it. If you are not satisfied, go to step 2.

2. Please see the department chair, Carol Avery, in Building F2. If you are still not satisfied, go to Step 3.

3. Please the Dean of the Math, Science, and Engineering Division, Mike Flodin, in Building 15.

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Grading System: Letter grades will be assigned based on the following:

Percentage Letter Grade Percentage Letter Grade Percentage Letter Grade Percentage Letter

Grade

93 – 100

90 – 92

A

A-

87 – 89

83 – 86

80 – 82

B+

B

B-

75 – 79

70 – 74

67 – 69

C+

C

C-

64 – 66

60 – 63

0 – 59

D+

D

E

Satisfactory/Unsatisfactory Grade: A grade of "Satisfactory" will only be given for grades of D or above (that is, 60% or above). If you are planning on taking another math class for which this course is a prerequisite, you must receive a

C or above (that is, 70% or above) to go on. A "Satisfactory" will not be sufficient to get you into the next class.

A grade of Incomplete, I, will be given only in emergency situations, at the instructor’s discretion, and only if at least

75% of the work has been completed with a passing grade.

A grade of WI is given at the instructor’s discretion when a student has completed all assigned work and is forced, due to circumstances beyond her control, to withdraw from class after the last official day to withdraw from the class.

A grade of V is given to a student who has attended class at least once and stops attending before doing enough work for the instructor to evaluate the student’s performance.

A grade of Z is given to a student who has never attended class.

Grades: Your final grade will be determined by your performance on the following graded events:

2 Exams

100 points each

3 Group Solves 50 points each

2 Projects

50 points each

Final

300 points

Class Participation 5 to 20 points each

Homework

5 to 10 points each

Exams: Each exam is comprehensive and may cover material from previous chapters; however, most of the material tested will be from the most recently covered topics. There are no make-up exams . If you must miss an exam due to a medical emergency, you must call or e-mail me before the time of the exam, explaining the reason for missing the exam. If I agree that it is an emergency, I will give you 95% of your final exam percentage for the exam you missed. A second missed exam will result in a 0 grade.

Group Solves: The ability to work effectively in a group is essential in many industries. Group Solves are designed to challenge you and motivate you to work with others. You will be grouped with a few other students in the class and given a set of problems to work out within a designated time frame. Each student will submit solutions, and one set of solutions from each group will be graded. Group Solves are scheduled shortly before exams and are designed to prepare you for the exam.

Group Solves may not be made up . Attendance is mandatory. If you miss class the day of a Group Solve, you will receive no credit for the Group Solve.

Final Exam: The final exam is comprehensive and will assess your mastery of course objectives. There is no make-up for the final exam.

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Substituting the Final Exam grade for the course grade: If you complete all Group Solves, exams, and projects, miss no more than one class participation event, earn at least 80% of the possible homework points, and earn a final exam score that is higher than your computed course grade, I will give you your final exam score as your course grade.

Study Groups: Students who score in the top 10% of the class on the first exam may be invited to be Study Group

Leaders. Study Group Leaders will hold a 1-hour study session at a regularly scheduled time once a week on campus.

Students wishing to participate in a study group may attend any study group that fits their schedule. The groups will meet together regularly to study, work homework problems, etc.

Skipping the Final Exam: Each Study Group Leader who meets the following requirements will not have to take the final exam.

1. meets the requirements for substituting the final exam grade for the course grade,

2. maintains a 90% (or greater) course average,

3. conducts a 1-hour study group session each week, and

4. takes attendance at the study group meetings and informs the instructor of the attendance promptly.

The Project: The project gives you the opportunity to use the Excel ® spreadsheet program. All spreadsheets must use

Excel ® . The assignment will require the solution of a problem or the display of a set of data. Each project write-up must be word-processed using correct English grammar, syntax, and punctuation. You must work on the project with one or two partners from the class.

Homework: There may be one to three homework problems assigned to turn in on paper each week as well as on-line homework on WebAssign. Please see Pages 8 and 9 for requirements for homework from the text. To use

WebAssign, you must enter the class key to enroll yourself in Math 148. A class key is not the same as an access code.

1.

To use WebAssign, you must enter the class key to enroll yourself in Math 148. You gott an access code when you purchased the textbook from the Bookstore OR you can purchase an access code online.

2.

Go to www.webassign.net

3.

Click the LOG IN button.

4.

Click I have a class key.

5.

Enter this class key tacomacc 5546 2668 and click Submit.

6.

If the correct class and section are listed, click Yes, this is my class.

7.

Select either I already have a WebAssign account or I need to create a WebAssign account and enter the requested information.

8.

It is important to remember your Username, Password and Institution Code (tacomacc). You will always go to www.webassign.net

to login.

On the WebAssign homepage, you will find all of the support resources you need under the “Student Support” link in the upper right of the page. I am here to help you with math only. If you have questions about WebAssign, please see the resources on the Student Support page and contact WebAssign for help with WebAssign related issues.

Class Participation: Pop quizzes and small group activities will earn you class participation points. Pop quizzes are essentially free points for students who arrive ready to work on time, stay until the end of class, and attend regularly.

Pop quizzes may be given at any time during the class period.

Extra Credit

1. You earn one point for every hour you study with a designated Study Group Leader (maximum of 2 points per week). You must sign in with the Study Group Leader each time you attend.

2. You may earn extra credit for volunteering to put solutions to homework problems on the board as long as you have already done the problems and have the solutions with you.

Extra credit is recorded on the weekend after it is awarded.

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Guidelines for Written Work

Written Requirements

Work on WebAssign is generally due 24 to 48 hours after it is assigned.

Homework will be collected before the beginning of class one to two times per week. Homework will be due two days after it is assigned.

Late homework: You cannot afford to get behind in this class! Late work will not be accepted. Homework that is one minute late is late. Homework that is one second late is late. If you are late, your homework will be late.

I expect a professional job.

Problems must be

 done in pencil – work done in pen will not get credit.

neat and organized (The instructor’s aesthetics are the criteria for neatness.)

 Problems must be copied completely, including instructions, tables, diagrams, and graphs.

 Problems requiring explanations must include complete explanations in complete sentences. “Yes” and “No” are not complete explanations.

 For application problems, a brief description of the problem may be used instead of copying the whole problem. All supporting work must be included, and the result must be in a complete sentence.

 When you have used a calculator to solve the problem, a brief description of the calculator functions needed to complete the problem, not calculator key strokes, as well as a clear statement of the solution must be included.

 Abstract, symbolic problems (problems that do not involve words) must have all work shown vertically in columns with at least one inch of blank space between the columns. Please see the example below:

For full credit, problems must look like this: The following are examples that would receive no credit.

1. Solve for x.

3 x

5

44

3 x

39 x

13

1. Solve for x. x

13

1.

3 x

5 x

44

13

1.

x

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All problems that involve drawing graphs must be on graph paper or a grid provided on the quiz itself. That is, the problem, the work needed to graph the equations, and the graph must be on the same page. The words “see graph” are not acceptable. See the Graphing Guidelines on the following page. by Bob Thaves August 30, 2005

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Graphing Guidelines

The following requirements are those of the TCC Mathematics Department and your instructor.

AXES: 1. Axes and any straight lines are drawn with a straight edge.

2. If either axis requires a scale other than one square = one unit, both axes must have the scale clearly indicated.

3. Axes are labeled with appropriate letters and with the meaning and units of the axis. (See Graph B.)

ACCURACY: 1. Graph paper is used.

2. If the graph of a function continues infinitely, the ends of what is drawn must have arrows

(see Graph A). If a graph terminates, the ends will have closed circles or dots (see Graph B).

3. The vertex of a parabola is rounded, not pointed. (See Graph C).

4. Asymptotes are drawn with a dashed line. Graphs approaching asymptotes appear to get closer and closer, not touching the asymptote and not pulling away from the asymptote. (See Graph D.)

CLARITY: 1. All problems that involve graphs must be on graph paper. That is, the problem, the work needed to

graph the equations, and the graph must be on the same page.

2. The coordinates of important points (intercepts, maximum or minimum points, vertices, and points of

Intersection) are clearly labeled with an ordered pair.

3. If multiple equations are graphed on a single set of axes, each graph is labeled with its equation.

4. Separate problems should be graphed on separate axes.

5. Each graph is neat, big, and dark enough to be easily read and understood.

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Date

Tentative Course Schedule

Subject to change as the instructor sees fit to best meet the needs of the students.

March 30 Introduction

March 31 Limits: Numerical and Graphical Approaches

April 1 Average Rate of Change

April 2 Average Rate of Change

April 3

The Derivative: Numerical and Graphical

Viewpoints

April 6 More Numerical and Graphical Viewpoints

April 7 More Numerical and Graphical Viewpoints

April 8 More Numerical and Graphical Viewpoints

April 9 The Derivative: Algebraic Viewpoint

April 10 The Derivative: Algebraic Viewpoint

April 13 Group Solve 1

April 14 Review

April 15 Exam 1

April 16

Derivatives of Powers, Sums, and Constant

Multiples

April 17 A First Application: Marginal Analysis

April 20 A First Application: Marginal Analysis

April 21 Product and Quotient Rules

April 22 Product and Quotient Rules

April 23 Project Day

April 24 Professional Development Day – No Class

April 27 Chain Rule

April 28 Chain Rule

April 29

April 30

Derivatives of Logarithmic and Exponential

Functions

Derivatives of Logarithmic and Exponential

Functions

May 1 Maxima and Minima

May 4 Maxima and Minima

May 5 Applications of Maxima and Minima

May 6 Applications of Maxima and Minima

May 7 Educational Planning Day – See your advisor.

May 8

Higher Order Derivatives: Acceleration and

Concavity

May 11

May 12

Higher Order Derivatives: Acceleration and

Concavity

Analyzing Graphs

May 13 Elasticity

May 14 Elasticity

May 15 Group Solve 2

Topic

11.1

11.2

11.2

11.3

11.3

11.4

11.4

10.5

10.5

10.5

10.6

10.6

11.5

Section

Covered

In Class

Problems to Turn In

Due before class two days after they are assigned.

10.1

10.4

10.4

10.5

#31 Remember to copy the graph.

#23

#15

#67

11.5

12.1

12.1

12.2

12.2

12.3

12.3

68 You do not need to copy the graphs, but you do need to

12.4 explain your answers.

12.6

12.6 12.6

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Date Topic

May 18 Review

May 19 Exam 2

May 20 The Indefinite Integral

May 21 The Indefinite Integral

May 22 Substitution

May 25 Memorial Day – No Class

May 26 Substitution

May 27

The Definite Integral: Numerical and Graphical

Approaches

May 28

May 29

The Definite Integral: Numerical and Graphical

Approaches

The Definite Integral: Numerical and Graphical

Approaches

June 1

June 2

June 3

The Definite Integral: An Algebraic Approach and

The Fundamental Theorem of Calculus

The Definite Integral: An Algebraic Approach and

The Fundamental Theorem of Calculus

The Definite Integral: An Algebraic Approach and

The Fundamental Theorem of Calculus

June 4

The Definite Integral: An Algebraic Approach and

The Fundamental Theorem of Calculus

June 5 Group Solve 3

June 8 Review

June 9 Final Exam 12:30 – 2:30

Section

Covered

In Class

13.1

13.1

13.2

13.2

13.3

13.3

13.3

13.4

13.4

13.4

13.4 http://www.zweigmedia.com/videos/Section10_5b_6e.html?w=1082&h=778

Problems to Turn In

Due before class two days after they are assigned.

TBA

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