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MATH 1080-Sec 003: Polynomial Calculus Fall 2015

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MATH 1080-Sec 003: Polynomial Calculus

Fall 2015

Instructor: Monica Pescitelli Course dates/times: TuTh 9:30-10:45

Office: CU Building 4212 Course Location: King 218

E-mail: [email protected] Office Hours: Tu 2:00-3:00, W 3:00-4:00 Other times by appointment

Dept. Associate Chair: Stephen Billups – Office AB1-4221, Phone: 303-315-1735 Course Captain: RaKissa Manzanares – Office AB1-4110; 303-315-1717

Course Description: A one-semestercourse in single-variable calculus. Topics include limits, derivatives, differentiation rules, integration and integration rules. Emphasis is on applications to business and social sciences. Note: No knowledge of trigonometry is required. Those planning to take more than one semester of calculus should take MATH 1401 instead of MATH 1080.

Course Overview

This course is an introduction into calculus for the business major and provides important background for further study in areas such as finance and economics. The course strives to approach calculus from a conceptual approach with real word applications particularly pertinent to business and social science students.

Course Goals and Learning Objectives

• Calculate. Students will summarize data with graphical, tabular, and numerical measures. Students will be able to determine derivatives and integrals.

• Represent. Students will demonstrate the ability to use symbolic, graphical, numerical and written representations of mathematical ideas.

• Interpret. Students will draw meaningful inferences and communicate insights from mathematical representations. Students will read, write, listen to and speak mathematics with understanding.

• Model. Students will use mathematics to model real-world situations. Students will use calculus concepts to model and solve for maximization and minimization problems.

• Critical Thinking. Students will use a combination of critical thinking skills and mathematical reasoning to solve problems.

• Technology. Students will use appropriate technology to enhance their mathematical thinking and understanding, solve mathematical problems and judge the reasonableness of their results.

Prerequisite: Math 1070 or Math 1110. No co-credit with MATH 1401. Required Materials

MyMathLab OR Text with MyMathLab: You may purchase MyMathLab online for about $95.00

(http://pearsonmylabandmastering.com/). An online copy of the text is included with MyMathLab. If you don’t mind reading the text online then purchasing MyMathLab online is all you need to do. This is the least expensive option!

On the other hand, if you want a hard copy of the text in addition to an online copy of the text then you should purchase: Calculus and its Applications + MyMathLab Package, 11th Edition, Bittinger, Ellenbogen and Surgent, Addison-Wesley, 2016, Package ISBN# 9780134123493

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Note: If you purchase a used textbook you will still need to purchase MyMathLab online for about $95.00. This is the most expensive option.

MyMathLab requires a Course ID number to gain access to this section of Math 1080. Your Course ID number is: pescitelli61027

Calculator: A graphics calculator is required for this class. The recommended calculator is one of the TI-83/84 calculators. I will be using these very similar calculators in class. Other graphics calculators may be sufficient but please ask if you have a different calculator that you would like to use. Any calculator such as the 89 or TI-nspire CAS that can perform symbolic algebra and calculus will not be allowed on any test or quiz and is not to be used for homework, chapter reviews, or other similar activities. Just as we expect you to be able to do basic arithmetic without a calculator, we expect you to be able to do basic algebra and calculus without a calculator. Expectations

Plan to spend two to three hours every week outside of class (reviewing your lecture notes, reading the text, and working problems) for every credit hour of the course. It is important that you seek help from your instructor or your colleagues if you get stuck. I encourage you to form study groups. If you have homework questions that are not answered in class, it is your responsibility to get help outside of class from me or one of your colleagues. Attendance

Attendance will be taken daily. You are expected to attend class faithfully and to take responsibility for your own learning. Each student is allowed to miss up to 3 class periods over the course of the semester. If you chose to miss more than the allotted 3, you will lose the opportunity to improve prior exam grades on the final exam.

“A genius is a talented person who does his homework.” ~Thomas Edison Methods of Evaluation

MyMathLab Homework

Each week (except following a test) you will have a homework assignment in MyMathLab. These assignments will be designed to help you learn the material which you will be tested over. You will complete these

assignments on your PC and they will be graded automatically. You have one week after the due date to email the instructor if you have any grade discrepancies on the homework. There are a total of 11 homework assignments, each worth 15 points each. Your lowest online homework grade will be dropped. If you do not do an online homework by its due date you will receive a zero on that homework.

Mini-Projects

Throughout the semester you will be assigned mini-projects or activities that synthesize the material taught. These will be worth a total of 100 points. If you do not hand in these activities on their due dates you will receive a 20% penalty for every day late.

Quizzes

There will be 11 homework quizzes (some take home and some in class) over the course of the semester worth 20 points each. Each quiz will be over the prior week’s homework and will be given every Thursday except during exam weeks (e.g. homework assigned in week 1 will be covered in the quiz on Thursday of week 2. To

compensate for unforeseen circumstances, one-quiz score will be dropped. No make up quizzes will be given. You must contact me in advance to arrange another time to take the quiz (prior to the scheduled in class quiz). The quizzes will be given at the beginning of the class. Do not be late!

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Exams

There will be 3 in class exams worth 100 points each – see tentative schedule for dates. There will be no make up exams. You must contact me in advance so that we may arrange another test date (prior to the scheduled in class exam): documentation will be requested. You must bring your student ID card to each exam.

Final Exam

There will be a comprehensive final exam worth 150 points. Each student who has maintained the attendance policy will have the opportunity to improve prior exam scores on the final exam (to be discussed in detail in class).Attendance at 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. There will be no make up final exams and a missed final exam will result in a 0 for the final.

Computing Your Final Grade

Letter Grade

Homework Quizzes 200 points A: 90% - 100%

In-class Exams 300 points B: 80% - 89.99%

Mini-Projects/Class Activities 100 points C: 70% - 79.99%

On-line Homework 150 points D: 60% - 69.99%

Final Exam 150 points F: Below 60%

Total 900 points

Other Concerns Academic Dishonesty

Students are required to know, understand, and comply with the CU Denver Academic Dishonesty Policy as detailed in the Catalog and on the CLAS website. Academic dishonesty consists of plagiarism, cheating,

fabrication and falsification, multiple submission of the same work, misuse of academic materials, and complicity in academic dishonesty. If you are not familiar with the definitions of these offenses, go to

http://www.ucdenver.edu/academics/colleges/CLAS/faculty-staff/policies/HandlingAcademicDishonesty/Pages/Definition-of-Academic-Dishonesty.aspx

. This course

assumes your knowledge of these policies and definitions.

Failure to adhere to them can result in possible penalties ranging from failure of this course to dismissal from the University; so, be informed and be careful. If this is unclear to you, ask me. The College of Liberal Arts and Sciences (CLAS) Ethics Bylaws allow the instructor to decide how to respond to an ethics violation, whether by lowering the assignment grade, lowering the course grade, and/or filing

charges against the student with the Academic Ethics Committee. Violating the Academic Honor Code can lead to expulsion from the University.

Incompletes

Incomplete grades (IW or IF) are not granted for low academic performance. To be eligible for an Incomplete grade, students must (1) successfully complete 75 percent of the course (i.e. be passing the course), (2) have special circumstances (verification may be required) that preclude the student from attending class and completing graded assignments, and (3) make arrangements to complete missing assignments with the original instructor using a CLAS Course Completion agreement.

Disruptions

Class disruptions (cell phones, music, etc) and any other inappropriate behavior will not be tolerated. I will penalize accordingly. Please see the CU-Denver Code of Student Conduct for details.

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Disabilities

Students with disabilities who need accommodations should make me aware of this either by contacting me directly or by having the Disabilities Services Office (AB1-2116; 303-315-3510) contact me by the end of week 1 of classes.

Talk to Me

I’ll give my best effort to make this class run smoothly for you, but it is important that you communicate with me when any issues arise or if there are any problems/concerns.

Getting Help

The Center for Learning Assistance

§ Offers free tutoring and help concerning class assignments, course-loads, and study skills § Located in AB1-2105. 303-315-3531

MERC (Math Education Resource Center) § Free assistance on assignments § NC 4015. 303-556-8532

§ Must bring valid CU-Denver ID.

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Tentative Schedule Fall 2015

Week Beginning Sections to be covered

1 August 17th 1.1 Limits: Numerical and Graphical Approach 2 August 24th 1.2 Algebraic Limits and Continuity

1.3 Average Rates of Change

3 August 31st 1.4 Differentiation Using Limits of Difference Quotients

1.5 Differentiation Techniques: The Power and Sum-Difference Rules 4 September

7th 1.6 Differentiation Techniques: The Product and Quotient Rules 1.7 The Chain Rule 5 September

14th 1.8 Higher Order Derivatives TEST 1 6 September

21st 2.1 Using First Derivatives to Find Extrema and Sketch Graphs 2.2 Using Second Derivatives to Find Extrema and Sketch Graphs 7 September

28th 2.3 Graph Sketching: Asymptotes and Rational Functions 2.4 Using Derivatives to Find Absolute Maximum and Minimum Values 8 October 5th 2.5 Maximum-Minimum Problems; Business and Economics Apps

2.6 Marginal Cost, Revenue and Profit (Skip Differentials) 9 October 12th Review/Flex

TEST 2

10 October 19th 3.1 Exponential Functions and Their Derivatives 3.2 Logarithmic Functions and Their Derivatives 11 October 26th 3.5 The Derivatives of ax and logbx

4.2 Antiderivatives as Area 12 November

2nd 4.1 Antidifferentiation 4.3 Area and Definite Integrals 13 November

9th 4.4 Properties of Definite Integrals 4.5 Integration Techniques: Substitution 14 November

16th Review/Flex TEST 3 15 November

23rd No School – Thanksgiving Break 16 November

30th Review/Flex Final Exam – Saturday December 5th (9:00 am – Noon)

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Fall 2015 CLAS Academic Policies

The following policies, procedures and deadlines pertain to all students taking classes in the College of Liberal Arts and Sciences (CLAS). They are aligned with the Official University Academic Calendar:

http://www.ucdenver.edu/student-services/resources/registrar/Documents/AcademicCalendars/downtown/Fall/AcademicCalendarFall2015.pdf

Schedule verification: It is each student’s responsibility to verify that their official registration and schedule of classes is correct in their CU Denver PassportID portal before classes begin and by the university census date. Failure to verify schedule accuracy is not sufficient reason to justify late adds or drops. Access to a course through Canvas is not evidence of official enrollment.

E-mail: Students must activate and regularly check their official CU Denver e-mail account for university related messages.

Administrative Drops: Students may be administratively dropped from a class if they never attended or stopped attending, if the course syllabus indicates that the instructor will do this. Students may be

administratively dropped if they do not meet the requisites for the course as detailed in course descriptions. • Late adds and late withdrawals require a written petition, verifiable documentation and dean’s approval.

CLAS undergraduate students should visit the CLAS advising office (NC1030) and graduate students should visit the Graduate School (12th floor LSC) to learn more about the petition process and what they need to do to qualify for dean’s approval.

Waitlists: The Office of the Registrar notifies students at their CU e-mail account if they are added to a class from a waitlist. Students are not automatically dropped from a class if they never attended, stopped attending, or do not make tuition payments. After waitlists are purged, students must follow late add procedures to be enrolled in a course. Students will have access to Canvas when they are on a waitlist, but this does not mean that a student is enrolled or guaranteed a seat in the course. Students must obtain instructor permission to override a waitlist and this is only possible when there is physical space available in a classroom, according to fire code.

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Important Dates and Deadlines

All dates and deadlines are in Mountain Standard Time (MST). August 17, 2015: First day of classes.

August 23, 2015: Last day to add or waitlist a class using the CU Denver PassportID portal.

August 24, 2015: Last day to drop a class without a $100 drop charge--this includes section changes. • August 24, 2015: All waitlists will be eliminated today. Please check your schedule in your CU Denver

PassportID portal to confirm in which classes you are officially enrolled.

August 25-September 2, 2015, 5 PM: Students must obtain instructor permission to add a course using the Instructor Permission to Enroll Form and bring it to the CLAS Dean’s Office (NC 5014) or have their instructor e-mail it to [email protected].

September 2, 2015: Census date.

o 9/2/15, 5 PM: Last day to add full term classes with instructor approval. Adding a class after this date (late add) requires a written petition, verifiable documentation and dean’s approval. After this date, you will be charged the full tuition amount for additional classes added – College Opportunity Fund hours will not be deducted from eligible student’s lifetime hours.

o 9/2/15, 5 PM: Last day to drop full term classes with a financial adjustment. After this date withdrawing from classes require instructor signature approval and will appear on your transcript with a grade of ‘W’. After this date, a complete withdrawal (dropping all classes) from the term will require the signature of the dean and no tuition adjustment will be made. Signature of Financial Aid Office is required if you have accepted financial aid (loans, grants or scholarships).

o 9/2/15, 5 PM: Last day to apply for Fall 2015 graduation. Undergraduates must make an appointment and see their academic advisor before this date to apply. Graduate students must complete the Intent to Graduate and Candidate for Degree forms.

o 9/2/15, 5 PM: Last day to request No Credit or Pass/Fail grade for a class using a schedule adjustment form. o 9/2/15, 5 PM: Last day to petition for a reduction in Ph.D. dissertation hours.

September 3-October 26, 2015, 5 PM: Students must obtain instructor permission to withdraw from a course using the Schedule Adjustment Form and must bring the signed form to the Office of the Registrar. To add a course, students must petition through undergraduate advising or the Graduate School as appropriate. • September 7, 2015: Labor Day observed--no classes, campus closed.

October 27, 2015: The Office of the Registrar now requires both the instructor’s signature and a dean’s

signature on a Schedule Adjustment Form to withdraw from a class. Students should consult their home college advising office for details.

November 9, 2015, 5 PM: Deadline for undergraduate CLAS students to withdraw from a course without filing a petition. Contact CLAS Advising.

November 23-29, 2015: Fall Break—no classes, campus open.

November 26, 2015: Thanksgiving Holiday observed—no classes, campus closed. • December 12, 2015: End of semester.

December 21, 2015: Final grades available on CU Denver PassportID portal and on transcripts (tentative)

References

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