Course Syllabus

Jump to Today

                               MATH 220 (Calculus II, Summer 2020) Syllabus

 

Instructor Information

Department: Mathematics and Statistics

Name:  Majid Bani-Yaghoub

Contact Information: baniyaghoubm@umkc.edu  Tel: (816) 235- 2845

Class Meeting Time/Place: MoTuWeTh 9:00AM - 11:00AM

 

Zoom Meeting (session # 1, 9:00 AM-9:50 AM):

Join URL: https://umsystem.zoom.us/j/93732025639

 

Zoom Meeting (session # 2, 10:00 AM-11:00 AM):

Join URL: https://umsystem.zoom.us/j/98512015803

 

Office Hours/office location:  Friday 10:00 AM- 12:00PM or by appointment,

Join Zoom URL:  https://umsystem.zoom.us/my/mbani

 

Catalog Information

 

Subject/Curricular Designation: Mathematics

Catalog Number: MATH 220

Course Title: Calculus II

Course Description from the UMKC catalog: Techniques of integration, applications of the definite integral, improper integrals, sequences and series, power series. Taylor series and convergence, analytic geometry in calculus.

Credit Hours: 4

Prerequisites: MATH 210 or MATH 216

Restrictions/exclusions: none

Course Attributes: none

Course Format: lecture

Course Instructional Mode: online

 

Course Information

 

Required Materials:

 

  1. MyMath Lab Access Code for the text `Calculus: Early Transcendentals’, 3rd edition, by Briggs, Cochran, Gillett and Schultz (Publisher: Pearson). Online access to the textbook is available through MyMath Lab:

 

AA AUTOACCESS MYLAB CALCULUS, EARLY TRANSCENDENTALS

AUTHOR:        BRIGGS

ISBN:   9780135373125

STATUS:          REQUIRED

EDITION:         3

 

Course Name: Math 220 (Calculus II):

Course ID: Course ID: bani-yaghoub37834

Web address: https://www.pearsonmylabandmastering.com/northamerica/mymathlab/

 

Notes: (a) All UMKC students enrolled in MATH 220 are automatically charged a fee for the MyMathlab access code through AutoAccess, unless they already paid the fee in a previous semester.  Please search for the email from AutoAccess that contains the access code. You can contact AutoAccess at 816-235-1427 or email autoaccess@umkc.edu.

(b) Students who were previously enrolled in a Calculus class at UMKC do not have to pay for a new code, as long as the same edition of the textbook was used. They should use the same account they used in the past when logging into MyMathlab, and will not get asked for a code. Students who were charged by Autoaccess in a past semester for a code will not be charged again (but it would not hurt to check your student account).  Students who paid for the access code for the 3rd edition of the book in a past semester, but did not do so through Autoaccess, will need to contact AutoAccess to opt out and ask for a refund.

 

(c) MyMathLab is an external tool required in this course and is fully FERPA compliant. Privacy Policy is available here: https://register.pearsoncmg.com/w3c/privacy.htm 

Pearson MyMathLab Student Support: https://support.pearson.com/getsupport/s/

 

  1. Calculator: A non-graphing calculator is required for exams.

 

  1. Webcam and Microphone: During the course, you will be attending the Zoom meetings for lectures and group work assignments. You must have a functioning webcam and microphone. (You might also use them to participate in your instructor's weekly Office Hour.) If your computer already has an internal webcam and microphone, please use them.

 

LTMD Model: In this course you will need to follow four steps all the times: (1) Learn the concepts, (2) Try the problems, (3) Master your calculus skills, and (4) Discuss the problems with your classmates and professor.

Learning Strategies: In this course we will apply three well-known learning strategies, (1) Flipped Classroom, (2) Active Learning, and (3) Cooperative Learning. Here are definitions and short descriptions of these strategies.

(1) Flipped Classroom is a type of blended learning where students are introduced to content at home and practice working through it at school. Before each Zoom meeting, you will need to (a) watch MyLab Math Lecture and Example Videos of specific textbook sections, (b) take notes from the videos, and (c) upload your notes to CANVAS.  After participating in the Zoom meeting, you will need to (a) solve 3-5 homework assignments, (b) redo 2-3 examples of the section and provide step-by-step solutions, (c) upload the written assignments and examples to CANVAS   

(2) Active Learning refers to a broad range of teaching strategies which engage students as active participants in their learning during class time with their instructor. Each Zoom meeting is divided into three parts: (a) what did we learn yesterday? I will ask you to explain some of those examples and homework assignments that you did yesterday (b) What are we going to learning today? I will ask you some questions about the main objectives of today’s lecture and throughout this part we will have some interactions and activities. We will also summarize what we learned today, (c) What will we learn tomorrow? This is a short part explaining about tomorrows lecture and its connection to today’s lecture.  

(3) Cooperative Learning is the process of breaking a classroom of students into small groups so they can discover a new concept together and help each other learn. We will divide the class into 7 groups. Every Friday, the members of each group need to have a Zoom meeting and (a) discuss the materials that they learned during the week, (b) discuss the assigned practice exercises at the end of each section, (c) Type a single line solving strategy for each assigned problem, save the MS word file and upload it to CANVAS. There is no need to solve any problem, just in a few words say how you would solve it. 

UMKC Calculus Code of Honor: A Roo does not cheat, lie, or steal and will not tolerate those who do.

Evaluation and Grading Criteria: Final grades assigned will be based on the percentage of total points earned and are assigned as follows:

    

  • Class Participation (56)         100 points
  • Online Quiz (6)                                                           90 points                A = 930-1000, A – = 900-929
  • Group Work (6)                                                   120 points                B + = 866-899, B = 830-865
  • Lecture Note (27)                                                      54 points                B – = 800-829, C + = 760-799
  • Written Homework & Book Examples (28)        112 points               C = 730-759, C – = 700-729
  • Midterm Exams (2)                                                  324 points               D + = 660-699, D = 630-659
  • Final Exam                                                         200 points               D – = 600-629, F = 0-599

Total                                                                 1000 points               

 

Important note: You will not pass the course if the sum of items 1, 4 and 5 is less than 186 (70% of total).

 

Class Participations:  Attend the zoom class every day and be prepared. Before attending a lecture, read thoroughly (from the book and from your notes) the material covered in the previous lecture and solve the related homework problems. During the zoom meeting, we will discuss problems, and analyze concepts. Ask questions and participate in the discussion! During each zoom meeting, I will ask you (a) what did we learn yesterday? I will ask you to share your screen and explain some of those examples and homework assignments that you did yesterday, and (b) What are we going to learning today? I will ask you some questions about the main objectives of today’s lecture and throughout this part we will have some interactions and activities. You will receive a grade based on your answers.

 

Online quizzes: online quizzes will be given about once a week. Each quiz is due Saturday and should be completed in My Math Lab (https://www.pearsonmylabandmastering.com/northamerica/mymathlab/). Please try to enter the solutions at least a day before each due date. A total of 6 quizzes will be given. There will be no make-up quiz.

 

Lecture Notes: You need to take lecture notes from MyMath Lab videos and upload your notes to CANVAS the day before each zoom meeting. The Lecture Notes must

  1. be a single pdf file
  2. be numbered
  3. be complete (i.e. it should include all materials provided in the lecture videos and example videos)
  4. include a cover page containing the following information:

Date, Section number, Student Name, Student ID, Main Objectives, Main Formulas and 2 examples of the type of problems that are solved in each section. There is no need to solve the examples indicated on the cover page. 

Important Note: You need to follow the course schedule and resubmit the lecture notes at the end of each day. In the CANVAS assignment section, you will see W1LN-W7LN, where you resubmit the lecture notes for each week W1-W7.

Written Homework & Book Examples: You need to follow the course schedule and after each zoom meeting you need to do the homework assignments and summarize the assigned textbook examples. Then you will need to upload your work to CANVAS as a single pdf file. You need to follow the course schedule and resubmit the lecture notes at the end of each day. In the CANVAS assignment section, you will see HW1-HW7, where you resubmit the lecture notes for each week W1-W7. You are encouraged to discuss ideas with other students but no copying from each other.  The due dates are firm. Late homework will be marked down by 50%.

 

Group Work and Applied Problems:  In addition to online quiz, you are required to work in groups. See the CANVAS People to find your assigned group and group leader. The group leader is responsible to organize weekly meetings by Wednesday. Every Friday, the members of each group need to have a Zoom meeting and (a) discuss the materials that they learned during the week, (b) discuss the assigned practice exercises at the end of each section, (c) Type a single line solving strategy for each assigned problem, save the MS word file and upload it to CANVAS. There is no need to solve any problem, just in a few words say how you would solve it.  Each group work is due Saturday. The due dates are firm. Late group work will be marked down by 50%.

 

Note: You can set up zoom meeting by logging into  https://umsystem.zoom.us

 For more information please see: https://www.umsystem.edu/ums/fa/management/ems/quick-start-guide-teaching-online  and https://idt.umkc.edu/support/zoom-support/#:~:text=University%20of%20Missouri%20students%2C%20faculty,us%20to%20activate%20the%20account.

 

Exams: There will be two online exams (Monday: June 29, and Monday July 20) and a final comprehensive exam (Tuesday July 28). All possible changes will be announced in the class or will be posted in the Blackboard.

 

Canvas Surveys: To serve our students better and to understand your concerns and challenges, we ask you to participate in 7 short surveys throughout the semester. Completing each survey will give you 2 bonus points, which can help you with your final grades. Thank you for participating in this survey. 

 

Help and Support: There are three options available to you

 

To Learn More: Visit: www.umkc.edu/asm/mast/   Email: umkctutoring@umkc.edu  Call: 816.235.1179

 

How to Succeed in Calculus

 

  1. Calculus takes time. Almost no one fails calculus because they lack sufficient “mental horsepower”. Most people who do not succeed are unwilling (or unable) to devote the necessary time to the course.
  2. Do NOT fall behind. Follow the course schedule and complete the daily tasks. “if you are in calculus, then you are relatively smart, you have succeeded in previous mathematics courses, and you are willing to work hard to do well.”
  3. Do many problems everyday & come to class every day.
  4. Go get help in My Math Lab, 24/7 Online Net Tutor (https://online.umkc.edu/students/tutoring/), Online Office hours and UMKC tutoring.
  5. Make calculus fun, Study with friends, classmates, and group members.
  6. Review algebra and trig. It all comes back with the addition of calculus. See for example https://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/AlgebraTrig.aspx
  7. Again, do not be daunted by the calculus formulas. The only hard part of calculus is lengthy algebra and trig manipulations. Work on your algebra and trig skills.
  8. Work fast, but don’t panic! Take it easy and just think. Keep calm and concentrate. Understand all pictures or graphs and the equations will come.
  9. Practice, practice, practice — do problems! Make note cards of important formulas/concepts.
  10. Work hard & focus because you will be able to see your fruits the very next quarter. Hard Work Pays off!

 

UMKC Culture of Care: At UMKC, we treat students as our family. Faculty, staff, and administrators believe each student has unique value and is worthy of our time, attention, and respect. We are committed to balancing high expectations of our students with programs and services that support and facilitate their growth, development, and academic achievement. We believe in giving students lifelong tools to help themselves.

 

  1. We meet each student exactly where they are.
  2. We assess but don’t assume or judge.
  3. We treat students as our family.
  4. We engage each student with learning experiences and co-curricular supports to meet their unique needs.
  5. We provide each student with constant and consistent guidance and feedback.
  6. We help each student take responsibility for their personal progress, their education, their decisions, and their futures.
  7. We encourage each student to fully integrate their individual growth with the common good.
  8. We are proud to contribute to a student-centered urban university, serving our mission of learning, discovery, research, and service, inspired by our commitment to equity, diversity, inclusion, and respectful interaction

 

Canvas video: If you are not familiar with CANVAS, watch this video: https://online.umkc.edu/canvas-orientation/

 

Topics covered:

We will cover the following chapters/topics from the book. (The course schedule is subject to change)

  • Chapter 6 Applications of integration (sections 6.3, 6.5, 6.6, 6.7)

          Topics: volume by slicing, length of curves, surface area, physical applications           

  • Chapter 8  Integration techniques (all sections except 8.8)

          Topics: integration by parts, trigonometric integrals, trigonometric substitutions, partial   

          fractions, improper integrals

  • Chapter 10 Sequences and infinite series (all sections)

          Topics: sequences, infinite series (geometric series and telescopic series), the divergence  

          and Integral test, ratio, root and comparison tests, alternating series         

  • Chapter 11 Power series (all sections)

          Topics: convergence (radius of convergence and interval of convergence), Taylor    

          polynomials and Taylor series, applications.                              

  • Chapter 12 Parametric and polar curves (all sections)
                           Topics: parametric equations, polar coordinates, polar coordinates, conic sections
  • Chapter 13 Vectors and vector valued functions (selected topics in sections 13.1, 13.2, 13.3, 13.5)

                       Topics: vectors in the plane and 3D, equations of spheres, dot product and equations of  

                       lines.

 

 

Student learning outcomes

  • Use integral calculus to solve applied problems, such as computations of area, length, volume, surface area and work;
  • Compute integrals, extending the techniques of Calculus I to include integration by parts, partial fractions, improper integrals, and others;
  • Explain the definition of an infinite series as the limit of a sequence of partial sums, apply convergence tests to determine convergence/divergence/conditional convergence, and manipulate with power series and representations of functions as power series;
  • Apply the concepts of calculus to functions given parametrically and in polar coordinates; Develop an understanding of the rectangular coordinate system in 3D‐space and of the use of vectors.

 

Course Expectations, Course Policies, Requirements and Standards for Student Coursework and Student Behavior

 

Calculator:  You will likely need a graphing calculator for some of the homework problems. However, you do not need to buy a graphing calculator for this class:  If you do not have one, you can use the Desmos online calculator, available at https://www.desmos.com/calculator .

Some quizzes may have a no calculator policy that will be announced. On the remaining quizzes and all exams: Only basic scientific calculators will be allowed. NO graphing calculators, or calculators which can compute derivatives/integrals are allowed during quiz or exam.

                      

Policy on make-up work: Only exceptional situations, such as a health emergency or a family crisis or participation in an athletic event, with adequate documentation, can be considered towards scheduling any kind of make-up work. If such a situation should occur, contact me as soon as possible to make arrangements.

 

Lecture expectations: You are expected to be respectful of your instructor and classmates. Do not disrupt the lecture by chatting with your neighbors. Put cell phones and other electronics away, so that you and others can concentrate on learning.

 

For technical support with MyMathLab, please contact the MyMathLab help and support: https://support.pearson.com/getsupport/s/

 

College of Arts & Sciences Course Policies & Resources

Please refer to the following webpage and the linked resources for critical information regarding course policies and resources.

http://cas.umkc.edu/CPR/

 

UMKC Course Policies & Resources

Important UMKC Resources and Policies are applicable to every course and every student at UMKC. These are located in the Learning Management System for this course. Canvas users may click the Help question mark on the left side of the screen, and then select ‘UMKC Resources and Policy Statements’. Blackboard users may click the ‘UMKC Policies’ tab. As a UMKC student, you are expected to review and abide by these policies. If you have any questions, please contact your instructor for clarification.

 

This course follows the “Faculty allowing recording” option of the Academic Inquiry, Course Discussion and Privacy policy

Academic Calendar: Students are encouraged to review important add, drop or withdraw dates: http://www.umkc.edu/registrar/acal.asp

 

Academic Honesty: The Board of Curators of the University of Missouri recognizes that academic honesty is essential for the intellectual life of the University. Faculty members have a special obligation to expect high standards of academic honesty in all student work. Students have a special obligation to adhere to such standards. Academic dishonesty, including cheating, plagiarism or sabotage, is adjudicated through the University of Missouri Student Conduct Code and Rules of Procedures in Student Conduct Matters.

 

Campus Safety: Inclement weather, mass notification, and emergency response guide: http://www.umkc.edu/umkcalert/

 

Disability Support Services: To obtain disability related accommodations and/or auxiliary aids, students with disabilities must contact the Office of Services for Students with Disabilities (OSSD) as soon as possible. To contact OSSD, call (816) 235-5696.  Once verified, OSSD will notify the course instructor and outline the accommodation and/or auxiliary aids to be provided.  For more information go to: http://www.umkc.edu/disability/

 

 

Title IX: Under the University of Missouri’s Title IX policy, discrimination, violence and harassment based on sex, gender, and gender identity are subject to the same kinds of accountability and support applied to offenses based on other protected characteristics such as race, color, ethnic or national origin, sexual orientation, religion, age, ancestry, disability, military status, and veteran status. If you or someone you know has been harassed or assaulted, you can find the appropriate resources by visiting UMKC’s Title IX Office webpage (http://info.umkc.edu/title9/) or contacting UMKC’s Title IX Coordinator at 816.235.6910. You can file a complaint using UMKC’s online discrimination complaint form, which is located at http://info.umkc.edu/title9/reporting/report-online/.

 

 

Course Summary:

Date Details Due