Spring 2022 Calculus II

MATH 2202: Calculus II
Spring 2022

Instructor – Dr Sarah Holliday 

Course Description:
This course is the second in the calculus curriculum and consists of two parts. The first part is concerned with the techniques of integration and applications of the integral. The second part is concerned with infinite sequences and series.

Prerequisite: A grade of “C” or better in MATH 1190.

Expected Learning Outcomes: Upon completing this course, students will be able to:

1. evaluate a wide variety of standard integrals.
2. apply integrals to a variety of problems involving area, volume, curve length, work done by a force and other similar quantities.
3. understand the concept of convergence of improper integrals and be able to evaluate some basic improper integrals;
4. understand the concept of convergence of infinite series and be able to derive and use a variety of tests for convergence of a series;
5. understand the concept of a power series, be familiar with the important properties of power series, and understand the concept of the Taylor series of common functions.

Instructor Name: Dr Sarah Holliday
Instructor preferred contact method: shollid4@kennesaw.edu (I will also respond to emails from inside D2L)
Instructor office location and number: I prefer the zoom room below
https://us02web.zoom.us/j/84100142478?pwd=STJ5ZHpFSjlZY0JrRFo3MlN3V1NVUT09

Office Hours: Tuesday, Thursday 1-4pm on zoom

Dates
First day of classes Monday January 10
Drop add ends Friday January 14
Holiday Monday January 17
First Test Due by Sunday February 6
Second Test Due by Sunday February 27
Last day to withdraw Tuesday March 15
Third Test Due by Sunday March 27
Fourth Test Due by Sunday April 24
Last day of classes Monday May 2
Exams May 4-10
Grades due May 12

Delivery
This is a fully asynchronous online course where all required course lectures and learning activities will take place using asynchronous online course content.  You are expected to be prepared for online delivery including arranging access to stable internet capable of handling streaming video demands and a computer with (internal or external) functioning webcam with microphone. Assessments will be in D2L using Respondus Lockdown Browser.  

All members of the class are expected to follow rules of common courtesy in all email messages, threaded discussions and chats. 

Learners are expected to check into the course multiple times each week; there is a graded assessment each Sunday, with a week's worth of content leading up to it.  I will respond to discussion posts as quickly as I can (usually less than 24 hours), and I will grade assessments in under a week. 

Getting Technical Help 
https://techenhancedlearning.kennesaw.edu/support-services/student-support-services.php

For issues with technical difficulties, please contact the Student Helpdesk: 

Fill out a service form 
Email: studenthelpdesk@kennesaw.edu 
Call 770-499-3555
New Students Technology Services- Steps that will help you meet the technological requirements of the University. 

Grading policy 
Presentations* & Quizzes: 20%
Exams: 60%
Final Exam: 20%

Final grades will be delivered A for 90% and up, B for 80% and up, C for 70% and up, D for 60% and up, F for below 60%.
Grades during the semester will be stored in D2L for learner access.

Required materials
Textbook: Thomas’ Calculus, Early Transcendentals, 14th edition, by Joel Hass, Christopher Heil, and Murice D. Weir
Technology: Quizzes, tests, and exams are expected to be delivered remotely using Respondus Lockdown Browser – this requires a webcam. 

Additional Technology Resources
Student Service Desk and Help Center 
1:1 Training Session
Computer Labs
Browser Checker
My KSU site for accessing online tools
USG Desire2Learn Help Center 
D2L Training Options & Resources for Students
Owltrain Online Courses 
Check Service Outages 

Calculator Policy: A reminder that starting this semester the department has the following policy regarding calculators in several courses, including MATH 1190 and MATH 2202: 

Beginning this coming semester (Spring 2022), in all four courses (MATH 1111, 1113, 1190, and 2202), all students are permitted to use a TI-30XIIS™ scientific calculator on all midterm and final exams.  This is the only calculator model that is permitted, and it will be listed as a required course material so that it is eligible to be purchased with financial aid. Instructors do not have to design exams so the calculator is required, but every exam must allow this model.  Please note that no other calculators (including the TI-30XS) are to be permitted.  Information about the TI-30XIIS™ functionality can be found here: TI-30XIIS™ Scientific Calculator | Texas Instruments

 

For more details about the policy, please refer to the announcement sent out by Jennifer Vandenbussche on December 14 (I am happy to re-send it to you if it is lost in your inbox).

The use of cell phones, pagers, text or other messaging devices is not allowed during class.

Additional resources include Kahoots, youtubes, and other external softwares.  No grades will be assessed for any of the external resources.  
https://trust.kahoot.com/inclusion-accessibility-policy/
https://www.google.com/accessibility/

Online Resource: MyLab Math by Pearson. CourseID: linked in the D2L shell
This is the textbook publisher’s online homework, assessment, and tutorial resource. It includes access to the complete eText version of the textbook, prerequisite review materials, numerous interactive figures, tutorial videos, the student’s solutions manual, and much more. Separate instructions will be provided on how to access and enroll in the appropriate MyLab Math course. 
Homework list at bottom of page

Day One Access:
MATH 2202 is part of a new textbook program called Day One Access. Access. The week before classes begin, you should receive an e-mail from KSU University Stores with instructions on how to access the course content (please check your junk folder if not in your inbox). The purpose of Day One Access is to make sure that you have access to the digital course materials on or before the first day of class at a highly competitive rate. Everyone enrolled in the course will automatically have access to the digital course materials through drop/add. Those who have not opted-out or dropped the class by drop/add, will receive a charge from the bookstore on their OwlExpress student account the following week. 
You have the ability to Opt-Out, via the link in the email sent to you by University Stores. Once you opt out, you will immediately receive a confirmation email. If you do not receive this email, you did not successfully opt out. If, after multiple tries, you are unable to successfully opt out via the link, please email dayone@kennesaw.edu prior to the opt-out deadline and request to be manually opted out. You must include your name, student ID number, and the course info.
Emails sent after the deadline will not be acknowledged.  
You should also login and register your materials via the link during the first week of class. If you do not do register by this date, you may temporarily lose access and an access code may be requested despite not having opted out. If this happens, please email dayone@kennesaw.edu. (DO NOT purchase an access code if this happens, as you will not be refunded. Please wait for a response to your email.) 
If you would like to know more about Day One Access, please visit https://ksustore.kennesaw.edu/textbooks/day_one_access.php. 

Data security
Course grades and other student data are stored within the D2L system, which students can access using DUO login and their KSU netid.  For more on how D2L protects student data:   https://www.d2l.com/legal/privacy/

Specific Course Topics
Techniques of integrationu-substitution
Integration by parts
Trigonometric integrals
Trigonometric substitution
Partial fraction decomposition 
Applications of IntegrationArea between curves 
Volumes by cross-section
Solids of revolution: Disk, Washer, and Shell methods 
Arc length 
Work – Hooke’s Law and Pumping/Lifting
Improper IntegralsL’Hopital’s Rule: review of 0/0 and infinity/infinity indeterminate forms 
0*infinity, infinity - infinity, and exponent indeterminate forms 
Evaluating improper integrals
Integral comparison test: Direct and Limit
Sequences 
Definition and convergence 
Series tests 
1.    Definition 
2.    Geometric series convergence 
3.    Integral test 
4.    Comparison tests – direct and limit 
5.    Absolute convergence 
6.    Alternating series test 
7.    Ratio and Root tests 
Power series 
1.    Definition and convergence 
2.    Taylor series and Maclaurin series 
3.    Approximations with Taylor/Maclaurin series 
Policies and resources: 
Science and Math Academic Resource and Tutoring (SMART) Center at KSU:
In the SMART Center you will find people and resources to help with most general education Mathematics, Chemistry, and Physics courses along with select Engineering classes offered at KSU. No appointments are necessary to use the SMART Center’s services, stop by any time they are open for help in your classes. For more information about hours and tutor schedule see: https://uc.kennesaw.edu/academicinitiatives/smart/index.php

Diversity statement:
Kennesaw State University prides itself on offering a premiere, personalized educational experience for leadership and engagement within a diverse nation and world. This educational experience is achieved through recognition and appreciation of the differing backgrounds and experiences reflected within the University community. It is my intent that students from all diverse backgrounds and perspectives be well served by this course, that students’ learning needs be addressed both in and out of class, and that the diversity that students bring to this class be viewed as a resource, strength and benefit.

Accommodations Statement:
Any student with a documented disability or medical condition needing academic accommodations of class-related activities or schedules must contact the instructor immediately. Written verification from the KSU Student Disability Services is required. No requirements exist that accommodations be made prior to completion of this approved University documentation. All discussions will remain confidential. More information, including location and contact information, can be found at http://sds.kennesaw.edu/ .

WITHDRAWAL FROM THE UNIVERSITY OR FROM INDIVIDUAL COURSES 
Spring Term 2022

Withdrawal

Students who officially withdraw from this course before Tuesday March 15 at 11:45pm will receive a grade of "W" and receive no credit. Students who withdraw after the Tuesday March 15 deadline and before the last week of classes, or who have exceeded the maximum number of withdrawals, will receive a grade of "WF," which will be counted as an "F" in the calculation of their grade point average.

The only exceptions to these withdrawal regulations will be for instances involving unusual circumstances, which must be fully documented. The date the withdrawal is submitted online will be considered the official KSU withdrawal date which will be used in the calculation of any tuition refund or refund to Federal student aid and/or HOPE scholarship programs. It is advisable to print the final page of the withdrawal for your records. Failure to complete the online withdrawal process will produce no withdrawal from classes. Call the Registrar’s Office at 770-423-6200 during business hours if assistance is needed.

Academic Integrity
Every KSU student is responsible for upholding the provisions of the Statement of Student Rights and Responsibilities, as published in the Undergraduate and Graduate Catalogs. Section II of the Statement of Student Rights and Responsibilities addresses the University's policy on academic honesty, including provisions regarding plagiarism and cheating, unauthorized access to University materials, misrepresentation/falsification of University records or academic work, malicious removal, retention, or destruction of library materials, malicious/intentional misuse of computer facilities and/or services, and misuse of student identification cards. Incidents of alleged academic misconduct will be handled through the established procedures of the Department of Student Conduct and Academic Integrity (SCAI), which includes either an "informal" resolution by a faculty member, resulting in a grade adjustment, or a formal hearing procedure, which may subject a student to the Code of Conduct's minimal one semester suspension requirement.

Course Delivery
KSU may shift the method of course delivery at any time during the semester in compliance with University System of Georgia health and safety guidelines. In this case, alternate teaching modalities that may be adopted include hyflex, hybrid, synchronous online, or asynchronous online instruction.

COVID-19 illness
If you are feeling ill, please stay home and contact your health professional. In addition, please email your instructor to say you are missing class due to illness. Signs of COVID-19 illness include, but are not limited to, the following:

· Cough

· Fever of 100.4 or higher

· Runny nose or new sinus congestion

· Shortness of breath or difficulty breathing

· Chills

· Sore Throat

· New loss of taste and/or smell

COVID-19 vaccines are a critical tool in “Protecting the Nest.” If you have not already, you are strongly encouraged to get vaccinated immediately to advance the health and safety of our campus community. As an enrolled KSU student, you are eligible to receive the vaccine on campus. Please call (470) 578-6644 to schedule your vaccination appointment or you may walk into one of our student health clinics.

For more information regarding COVID-19 (including testing, vaccines, extended illness procedures and accommodations), see KSU’s official Covid-19 website.

Face Coverings
Based on guidance from the University System of Georgia (USG), all vaccinated and unvaccinated individuals are encouraged to wear a face covering while inside campus facilities. Unvaccinated individuals are also strongly encouraged to continue to socially distance while inside campus facilities, when possible.

Recommended homework by section for those using the textbook
Review Material: 

Chapter 4: Applications of Derivatives
*4.5: Indeterminate Forms and L’Hôpital’s Rule: 1, 3, 9, 11, 13, 15, 19, 21, 25, 27, 29, 35, 49, 51, 55, 57, 59, 63, 65, 67, 69, 71, 75, 85, 87
*4.8: Antiderivatives: 1, 3, 9, 13, 15, 25, 29, 31, 35, 39, 41, 43, 45, 47, 49, 65, 77, 79, 85, 89, 91, 97, 99, 105, 113, 119, 125, 131

Chapter 5: Integrals
*5.1: Area and Estimating with Finite Sums: 1, 2, 5, 7, 8, 9, 13, 14, 15, 16, 17, 19
*5.2: Sigma Notation and Limits of Finite Sums: 1, 3, 7, 9, 11, 12, 13, 14, 15, 19, 21, 23, 37, 39, 41, 42, 44, 46, 50
*5.3: The Definite Integral: 1, 3, 5, 7, 11, 13, 15, 17, 19, 29, 35, 41, 43, 51, 57, 59, 64, 68, 71, 73, 75, 79, 85, 88, 89, 91
*5.4: The Fundamental Theorem of Calculus: 1, 3, 5, 7, 9, 11, 13, 15, 17, 26, 27, 39, 43, 47, 51, 55, 57, 59, 61, 63, 67, 70, 73, 75, 81, 86

Calculus 2:

5.5: Indefinite Integrals and the Substitution Method: 1, 3, 4, 5, 12, 17, 21, 23, 33, 35, 37, 41, 43, 47, 49, 55, 59, 61, 73, 77, 79
5.6: Definite Integral Substitutions and the Area Between Curves: 1, 3, 5, 9, 15, 17, 27, 29, 33, 49, 53, 55, 59, 63, 65, 67, 75, 77, 87, 89, 91, 107, 109, 111, 115, 117, Also from Chapter 7.1.3, 5, 17, 27, 38

Chapter 6: Applications of Definite Integrals
6.1: Volumes Using Cross-Sections: 1, 5, 9, 11, 17, 19, 23, 30, 31, 33, 39, 41, 43, 47, 51
6.2: Volumes Using Cylindrical Shells: 1, 3, 5, 7, 10, 11, 13, 15, 19, 21, 25, 29, 35
6.3: Arc Length: 1, 4, 5, 7, 15
6.5: Work and Fluid Forces: 3, 5, 6, 8, 11, 17, 19, 22

Chapter 8: Techniques of Integration
8.1: Using Basic Integration Formulas: 1, 2, 5, 10, 11, 14, 17, 21, 23, 26, 27, 31, 37, 38, 46, 47, Also from Chapter 7.1.7, 19, 31, 23, 29, 45
8.2: Integration by Parts: 3, 5, 7, 11, 16, 20, 21, 23, 26, 27, 47, 49
8.3: Trigonometric Integrals: 3, 6, 8, 11, 13, 19, 22, 24, 29, 33, 35, 37, 38, 41, 45, 49, 51, 55
8.4: Trigonometric Substitutions: 1, 3, 7, 11, 17, 19, 24, 25, 29, 35, 39, 42, 47, 53, 55
8.5: Integration of Rational Functions by Partial Fractions: 2, 3, 5, 9, 11, 13, 14, 16, 19, 25, 29, 35, 37, 41, 48
8.8: Improper Integrals: 1, 4, 6, 10, 13, 15, 17, 21, 24, 31, 45, 49, 59, 69

Chapter 10: Infinite Sequences and Series
10.1: Sequences: 3, 10, 15, 17, 31, 35, 37, 43, 47, 53, 57, 67, 83, 87, 91, 95, 117, 122, 125, 129, 131
10.2: Infinite Series: 7, 11, 13, 17, 35, 37, 39, 51, 53, 59, 63, 65, 67, 77, 81, 84, 96, 99
10.3: The Integral Test: 3, 4, 11, 13, 15, 17, 21, 23, 25, 31, 37
10.4: Comparison Tests: 5, 9, 17, 21, 25, 27, 28, 32, 33, 37, 41, 43, 46, 47, 51, 58, 59
10.5: Absolute Convergence; The Ratio and Root Tests: 18, 19, 21, 29, 33, 34, 37, 42, 57, 59, 61, 63
10.6: Alternating Series and Conditional Convergence: 19, 20, 21, 22, 25, 27, 31, 35, 37, 47, 53, 77
10.7: Power Series: 1, 3, 6, 9, 11, 17, 19, 25, 31, 43, 50, 54, 55
10.8: Taylor and Maclaurin Series: 1, 4, 5, 8, 11, 15, 18, 25, 29, 37, 45, 47
10.9: Convergence of Taylor Series: 1, 3, 7, 10, 15, 19, 22, 23, 27, 33, 39, 41, 47, 48, 53
10.10: Applications of Taylor Series: 2, 7, 13, 15, 19, 20, 23, 29, 35, 41, 47, 49, 57, 61, 69, 70, 71