Calculus II

 

Mission: To provide affordable, accessible, and exceptional education that fosters student success

Term:  Spring 2017

Course:    Math 2275   Calculus and Analytic Geometry II
Delivery Format:  Traditional

Instructor Information:

Name:  Rob Wylie
Email:  rwylie@carlalbert.edu
Office Location:  RC205
Preferred Contact Method:   In office or classroom
Office Phone:  918-647-1412
Office Hours:  As posted
Alternate Phone:  Click here to enter Alt Phone #.

Textbook 1 Information:                                           
Calculus  Larson, Hostletter, Edwards 9780547167022

Course Description:
            
This course covers rectangular, polar, cylindrical, spherical coordinates, conics translated and rotated in rectangular coordinate, indefinite and definite integrals, infinite series and their applications.  Other topics include vectors, vector-valued functions, functions of two or more variables, partial derivatives, multiple integrals and their applications.

Credit Hours:  5.00
Prerequisites:  Math 2265 Calculus I

 

 Student Learning Outcomes (SLO’s):

SLO 1. Upon completion of the course students will be able to apply Methods of Integration to evaluate Proper and Improper Integrals.   
-Students will be able to find an antiderivative using integration by parts.
-Students will be able to solve trigonometric integrals involving powers of sine and cosine.
-Students will be able to solve trigonometric integrals involving powers of secant and tangent.
-Students will be able to solve trigonometric integrals involving sine-cosine products with different angles.
-Students will be able to use trigonometric substitution to solve an integral.
-Students will be able to use integrals to model and solve real-life applications.
-Students will be able to use partial fraction decomposition with linear factors to integrate rational functions.
-Students will be able to use partial fraction decomposition with quadratic factors to integrate rational functions.
-Students will be able to evaluate an improper integral that has an infinite limit of integration.
-Students will be able to evaluate an improper integral that has an infinite discontinuity.

SLO 2. Upon completion of the course students will be able to determine the Convergence of Sequences  and Series.
-Students will be able to determine whether a sequence converges or diverges.
-Students will be able to write a formula for the nth term of a sequence.
-Students will be able to use properties of monotonic sequences and bounded sequences.
-Students will be able to use properties of infinite geometric series.
-Students will be able to use the nth-Term Test for Divergence of an infinite series.
-Students will be able to use the Integral Test to determine whether an infinite series converges or diverges.
-Students will be able to use properties of p-series and harmonic series.
-Students will be able to use the Direct Comparison Test to determine whether a series converges or diverges.
-Students will be able to use the Limit Comparison Test to determine whether a series converges or diverges.
-Students will be able to use the Alternating Series Test to determine whether an infinite series converges.
-Students will be able to use the Alternating Series Remainder to approximate the sum of an alternating series.
-Students will be able to classify a convergent series as absolutely or conditionally convergent.
-Students will be able to use the Ratio Test to determine whether a series converges or diverges.
-Students will be able to use the Root Test to determine whether a series converges or diverges.

SLO 3. Upon completion of the course students will be able to produce Power Series and Interval of Convergence for functions.
-Students will be able to find polynomial approximations of elementary functions and compare them with the elementary functions.
-Students will be able to find Taylor and Maclaurin polynomial approximations of elementary functions.
-Students will be able to find the radius and interval of convergence of a power series.
-Students will be able to determine the endpoint convergence of a power series.
-Students will be able to differentiate and integrate a power series.
-Students will be able to find a geometric power series that represents a function.
-Students will be able to construct a power series using series operations.
-Students will be able to find a Taylor or Maclaurin series for a function.
-Students will be able to use a basic list of Taylor series to find other Taylor series.

SLO 4. Upon completion of the course students will be able to graph Conic Sections and determine their equations.
-Students will be able to articulate the definition of a conic section.
-Students will be able to analyze and write equations of parabolas using properties of parabolas.
-Students will be able to analyze and write equations of ellipses using properties of ellipses.
-Students will be able to analyze and write equations of hyperbolas using properties of hyperbolas.
-Students will be able to use rotation and translation equations to sketch rotated and translated conic sections.

SLO 5. Upon completion of the course students will be able to articulate and utilize different coordinate Systems in two and three dimensions such as: Rectangular, Polar, Parametric, Cylindrical, Spherical.
-Students will be able to sketch the graph of a curve given by a set of parametric or polar equations.
-Students will be able to eliminate the parameter in a set of parametric equations.
-Students will be able to find a set of parametric or polar equations to represent a curve.
-Students will be able to sketch the graphs of a surfaces given by cylindrical, rectangular, or spherical equations.
-Students will be able to find the slope of a tangent line to a curve given by a set of parametric equations.
-Students will be able to find the arc length of a curve given by a set of parametric equations.
-Students will be able to find the area of a surface of revolution (parametric form).
-Students will be able to rewrite rectangular coordinates and equations in polar form and vice versa.
-Students will be able to find the slope of a tangent line to a polar graph.
-Students will be able to identify several types of special polar graphs.
-Students will be able to find the area of a region bounded by a polar graph.
-Students will be able to find the points of intersection of two polar graphs.
-Students will be able to find the arc length of a polar graph.
-Students will be able to rewrite rectangular coordinates and equations in cylindrical and spherical forms and vice versa.

SLO 6. Upon completion of the course students will be able to apply knowledge of vectors and vector algebra to applications.
-Students will be able to write the component form of a vector.
-Students will be able to perform vector operations and interpret the results geometrically.
-Students will be able to write a vector as a linear combination of standard unit vectors.
-Students will be able to use vectors to solve problems involving force or velocity.
-Students will be able to analyze vectors in space.
-Students will be able to use three-dimensional vectors to solve real-life problems.
-Students will be able to use properties of the dot product of two vectors.
-Students will be able to find the angle between two vectors using the dot product.
-Students will be able to find the direction cosines of a vector in space.
-Students will be able to find the projection of a vector onto another vector.
-Students will be able to use vectors to find the work done by a constant force.
-Students will be able to find the cross product of two vectors in space.
-Students will be able to use the triple scalar product of three vectors in space.

SLO 7. Upon completion of the course students will be able to perform differentiation and integration of vector- valued functions and space curves.
-Students will be able to analyze and sketch a space curve given by a vector-valued function.
-Students will be able to differentiate a vector-valued function.
-Students will be able to integrate a vector-valued function.
-Students will be able to describe the velocity and acceleration associated with a vector-valued function.
-Students will be able to use a vector-valued function to analyze projectile motion.
-Students will be able to find the arc length of a space curve.

SLO 8. Upon completion of the course students will be able to find equations of Lines, Planes, and Surfaces in space and calculate aspects about them.
-Students will be able to write a set of parametric equations for a line in space.
-Students will be able to write a linear equation to represent a plane in space.
-Students will be able to determine from theorems is two lines in space are parallel, perpendicular, skew, incident, or neither of these given parametric equations.
-Students will be able to sketch the plane given by a linear equation.
-Students will be able to find the distances between points, planes, and lines in space.
-Students will be able to recognize equations of surfaces and sketch such as spheres, cylinders, quadric surfaces.

SLO 9. Upon completion of the course students will be able to evaluate Partial Derivatives, Multiple Integrals With applications.
-Students will be able to find and use partial derivatives of a function of two variables.
-Students will be able to find and use partial derivatives of a function of three or more variables.
-Students will be able to find higher-order partial derivatives of a function of two or three variables.
-Students will be able to use the Chain Rules for functions of several variables.
-Students will be able to find equations of tangent planes and normal lines to surfaces.
-Students will be able to use a double integral to represent the volume of a solid region.
-Students will be able to use a double integral to represent the area of plane region.
-Students will be able to use properties of double integrals.
-Students will be able to evaluate a double integral as an iterated integral.
-Students will be able to use a double integral to find surface area.



Evaluation/Assessment Practices

 

Assignments and Course Format:

This course will be taught primarily by lecture and demonstration. The textbook will be the basis for material to be presented and the student will be responsible for reading all material and working all problems assigned. Computer assisted instruction disks, which are located in the Math-Science computer lab, will be available as supplementary material. 

Homework Assignments as follows:

8.1       5, 8, 11, 13, 16, 24, 25, 30, 33, 39, 47, 63

8.2       Multiples of 3; 12 through 36

8.3       Multiples of 3; 6 through 42

8.4       Multiples of 3; 6 through 36

8.5       Multiples of 3; 9 through 30

8.6       Multiples of 3; 21 through 63

8.7       Multiples of 3; 6 through 36

8.8       Multiples of 3; 15 through 39

9.1       Multiples of 3 through 48

9.2       Multiples of 3 through 30

9.3       Multiples of 3 through 36

9.4       Multiples of 3 through 36

9.5       Multiples of 3; 9 through 27

9.6       Multiples of 3; 6 through 30

9.7       Multiples of 3; 15 through 30

9.8       Multiples of 3; 12 through 33

10.1     Multiples of 3; 9 through 60

10.2     Multiples of 3 through 30

10.3     Multiples of 3; 6 through 30, 43,47

10.4     Multiples of 3; 6 through 30, 59,63,65

10.5     Multiples of 3; 6 through 33

11.1     Multiples of 3; 3 through 45

11.2     Multiples of 3; 3 through 60

11.3     Multiples of 3; 3 through 42

11.4     Multiples of 3 through 30

11.5     Multiples of 3 through 30

11.6     3, 6, 8, 11, 15, 19, 25

11.7      Multiples of 3; 3 through 30

12.1     Multiples of 3 through 27

12.2     Multiples of 3 through 24

13.1     Multiples of 3 through 27

13.3     Multiples of 3 through 36

13.5     Multiples of 3 through 24

13.7     Multiples of 3 through 24

14.1   Multiples of 3, 3 through 24  and  30,33

14.2   21,23,27,28

 

 

Grade Scale:

The following grade scale will be used to determine a letter grade:

90% - 100% > A
80% - 89% > B
70% - 79% > C
60% - 69% > D
Below 60% > F

 

Grading Policies:

 

Five 50 minute objective examinations will be given during the semester. Problems are assigned from each chapter taught. The test average will comprise of 80% of the semester grade and the assigned problem will comprise the remaining 20%.   Tests will be given after three weeks (approximately) of working on new materials as announced in class.

 

            Expectations:

The student is expected to take all examinations at a specified time and date. If a student has    circumstances arise which make it impractical to take a test at its regularly assigned time, it is his/her responsibility to contact the instructor prior to the examination if possible. Make up exams will be more difficult and are strongly discouraged; however, they will be given if the instructor decides the student had legitimate reason to miss and notified the instructor ahead of time when it was possible.  Three lowest homework scores and if five tests are given the lowest test score will be discarded.  Students at teacher’s discretion can use the missed test as the lowest test score dropped. 

         Attendance:

Attendance is highly important and stressed to each student. Attendance is not counted as part of   a grade; however, poor attendance usually reflects poor performance. Students who begin to establish irregular habits are reminded of their need to attend regularly.      Attendance is highly important and stressed to each student. Attendance is not counted as part of   a grade; however, poor attendance usually reflects poor performance. Students who begin to establish irregular habits are reminded of their need to attend regularly.


        Additional Course Information:

Before class sessions begin, completely turn off power on all cell phones and other electronic devices and put them out of sight. Some allowances may be made for phones if it is truly important for students to have quick communication (a sick child, for example), but in such cases, students must inform the instructor before class begins, and the phone must be switched to a manner/silent mode.  Otherwise, do not take calls, make calls, check text messages, send text messages, listen to music, or use any other applications during class sessions.  Some exceptions may be made as long as devices are used in direct connection to the class, taking notes or researching a class topic, for example.  Reading e-mail, sending e-mail, checking/using social networking sites, or any other uses not directly related to a class are not permitted.  Depending on the exact nature of the offense, students who violate this policy regarding cell phones, laptop PCs, or any other electronic devices should expect a penalty, which may range from  being dismissed to being dropped from the class.  No cell phones or any electronic devices other than handheld calculators are allowed on tests.

SERVICES, POLICY, and PROCEDURES:

 

Student Email:

IMPORTANT- All course information, billing, financial aid notices, housing information, scholarship awards, degree check results, and other mail will be sent to you via student email. Please remember to check your student email often for important information.

ADA statement:
 Carl Albert State College complies with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990. Students with disabilities who need special accommodations should make their request in the following way: 

*      Talk with your instructor after class about your disability or special needs related to work in class.

 

Poteau Campus

*      Complete the Request for Special Accommodations Form with the Student Disability Services Coordinator located in the Student Disability Services/Student Counseling Services office in the Ollie Center in office OC 1203 (second floor).

Sallisaw Campus

*      Complete the Request for Special Accommodations Form with the Assistant Student Disability Services Coordinator located in the Learning Resource Center in office SC 8025. .

                  FOR WEB COURSES

*      Call or e-mail your instructor about your disability or special needs related to work in web courses.

*      Complete the Request for Special Accommodations Form with the Student Disability Services Coordinator. You may find information on our website under Student Affairs/Student Disability Services.

 

Services 

·       LRC: The Learning Resource Center is located in the George Ollie Center for Academic Excellence on the third floor, in room 1301; Crissy Keeton, the LRC director, may be reached at 918-647-1319. The LRC offers tutoring in a variety of subjects including math and English: specific tutoring schedules are available.  The LRC also offers notes and textbooks for many classes, as well as a computer lab and study area. Hours of operation are Monday through Thursdays from 8 am to 6 p.m., and on Fridays from 8 am to 4 pm.

·       Counseling: CASC Student Counseling Services provides free counseling to students who are struggling with school, home life, or a disability. Overseeing the CASC Student Counseling Center is Kerrie Blair, MS, LPC.  She serves as counselor at Carl Albert State College and may be reached by phone (918) 647-1389, text (918) 658-5568, or email kblair@carlalbert.edu. 

https://carlalbert.edu/student-services/student-counseling-services

 

·       Library: Research for your class should be conducted at the CASC Libraries.  College-level research requires college-level sources. CASC Libraries offer a number of appropriate sources in both print and electronic formats.  Visit the library in person for research assistance or at 
https://carlalbert.edu/student-services/library/.  

Phone: 918-647-1311 (Poteau)  918-775-6977 (Sallisaw)
Facebook:  Library Friends @ Carl Albert State College
Twitter:  @CASCLibrary
Instagram: casclibrary  

 

HEA-Required information:

The National Postsecondary Education Cooperative (NPEC) issued Information Required to Be Disclosed Under the Higher Education Act of 1965: Suggestions for Dissemination (NPEC 2010-831). This publication is available at http://nces.ed.gov.

 

Additional Information including Student Handbook, FERPA, Financial Aid, Clery Report, and student consumer information are located at https://carlalbert.edu/discover-us/student-consumer-reports/

Notification of class cancellation:

In the event class must be cancelled by the instructor the student will be notified through various methods including, but not limited, to the following:  text message, email, or written notification.  Students should check their Carl Albert email accounts regularly for such notifications.  When possible, instructors will provide notification in advance.

In instances of school closure the notification process occurs in the following ways: the alert system is used to send messages including phone calls, text messages, and emails to all names in the alert system as soon as a decision has been made regarding the status of CASC; an email is sent to all Carl Albert email addresses; closure information is posted to the CASC website as quickly as possible; the phone message for incoming calls at the CASC switchboard will indicate closed status; local radio stations and television stations are notified; however television may or may not post our information so please be sure to check other sources of information as listed above.

Assessment Statement

Assessment is the process that evaluates the learning experience with the purpose of continual improvement and has the objective of assuring the accomplishment of the mission of Carl Albert State College.

Academic Integrity/ Misconduct Policy:  

The following will apply in connection with academic dishonesty:

 

A. The instructor and his/her Division Chairperson have final authority over the  grades given to students   or the lowering of grades because of cheating or plagiarism.

 

B. The term “cheating” includes, but is not limited to:

 

1.     The use of any unauthorized assistance in taking quizzes, tests, or examinations.

 

2.     Dependence upon the aid of sources beyond those authorized by the instructor in writing papers, preparing reports, solving problems, or carrying out other assignments.

 

3.   Acquisition, without permission, of tests or other academic material belonging to a member of the college faculty or staff.  The term “plagiarism” includes, but is not limited to, the use, by paraphrase or direct quotation, of the published or unpublished   work of another person without full and clear acknowledgment.  It also includes the unacknowledged use of materials prepared by another person or agency engaged in the selling of term papers or other academic materials. 

 

 If it is established that cheating or plagiarism has more than likely

        occurred.

 

A. The instructor may take appropriate disciplinary action, which may include the awarding of an “F” on the particular assignment or in the course.

 

B. The instructor will make a report of the incident and of action taken to the Vice President for Academic  Affairs.

 

C. The student will receive a copy of the report if s/he desires and may appeal the decision of the instructor to the Academic Affairs Committee.

 

D. The student and instructor may meet individually with the Academic Affairs Committee to present documentation pertinent to the appeal. Once the Academic Affairs Committee renders its decision, the appeal process is concluded.

 

Carl Albert State College considers all forms of academic misconduct and dishonesty serious matters which warrant serious attention. Academic dishonesty includes, but is not limited to, cases of cheating and plagiarism, and is, at the very least, subject to disciplinary action by the instructor of record. More serious infractions will warrant disciplinary actions by the college.  

 

Plagiarism is considered unacceptable and incompatible with the educational mission of Carl Albert State College. Since plagiarism always carries consequences, all students are expected to be familiar with the rules for avoiding plagiarism. 

 

Intentional plagiarism is a deliberate act of academic dishonesty in which an individual knowingly represents the work or knowledge of another person as one’s own, knowingly incorporates into one’s work the words or ideas of another person without clear attribution, fails to acknowledge clearly the partial or full authorship of someone else when submitting a work, and/or consistently fails to cite or quote textual resources properly. 

 

Cheating is considered to be a serious infraction of academic integrity and as such is not tolerated at CASC. Specifically, cheating includes, but is not limited to, instances where work is turned in that is not one’s own, copying others’ answers in exams and/or papers, infiltration of grading systems, use of deception in acquisition of answers, and/or instances of forgery.  

 

Grade Protest

Students may challenge a final grade, provided a solution cannot be reached through proper academic channels. Students should first contact their instructor and then the Division Chair if resolution is not satisfactory. Appeals for the purpose of challenging a final grade must be made to the Academic Affairs Committee within 90 days after the grade in question appears on the permanent record.  Information concerning procedures to be followed is available from the Office of Admissions and Records. (CASC Catalog, p. 74)

 

Faculty Complaints

A student who feels he or she has serious grounds and evidence to demonstrate unfair treatment by a faculty member may file a formal written complaint with the division chair. First, however, the student is encouraged to visit with the faculty member on an informal basis to discuss the situation. If, after that visit, the student still wishes to file a formal complaint, the division chair will call a meeting between the student and the faculty member to discuss the complaint and any further action. If the issue still remains unresolved, the division chair, faculty member, and student will meet with the Associate Vice President of Instruction in the Academic Affairs Office.

 

Semester Regulations Concerning the Beginning and End of the Term

Students should keep in mind that the semester begins with the first day of class, and ends with the last day of the designated final exam period.  For that reason, and because final exams may be scheduled up to and through the last day of the final exam schedule, students should not plan to travel until the first day after the end of finals week, unless approval is granted by the division chair AND the Academic Affairs Office. Students may request changes in individual final exam times in writing and through completion of the Change in Final Exam form. Forms are located in the office of the registrar. Requests for change for personal convenience are generally not approved. Approvals are normally limited for the following reasons:

  1. Conflict with working hours on a job that has been held during the term, and for which working schedules cannot be readily adjusted. 
  2. Religious reasons.
  3. Four finals in one day. Where amicable agreement cannot be reached by the student and the instructors, the division chair and/or Academic Affairs Office can grant accommodations.
  4. Military obligations verified in writing. 
  5. Other exceptional hardship cases including health reasons concerning immediate members of the household and/or death of an immediate family member or attendance of a funeral of an immediate family member.

Additionally, with take-home final exams, instructors have the option and may choose to make those due on the last day of finals.

Students are required to:

1.      complete the Change in Final Exam form;

2.      request the signature and approval of the designated instructor;

3.      submit the form to the appropriate division chair for approval;

4.      The form will be forwarded to the Academic Affairs Office or designee (Vice President for Sallisaw campus).

5.      The Academic Affairs office will then inform the student of the results of the request.

*Requests will be finalized within 72 hours of the formal request.

 

Withdrawal Policy:
Students withdrawing from courses should first consult instructors and refer to the current student handbook or website for withdrawal procedures.  Additionally, the student should contact the offices of Financial Aid, Admissions, Business, and Retention.  Students failing to attend initial class meetings will be dropped from the class without notification.  Beyond that, failure to attend class is not equivalent to dropping the class; students who fail to formally drop the class will receive a grade in the course.

 

Online Etiquette Statement:

Carl Albert State College expects online users to follow the same basic rules that apply in face-to-face communication.  The following guidelines provide direction for students using Internet-based communication.  Failure to follow appropriate communication rules may result in negative consequences.

 

1.     Think before you write.  What you say online is permanent.  Review and edit before you post and take the feeling of others into consideration.

2.     Be friendly and positive.  Even if you disagree with an idea there are ways you can approach your criticism without being hurtful.

3.     Use standard English.  Avoid slang and jargon with which others in the class may be unfamiliar.  Communication is only effective if the audience can relate to it.

4.     Be professional.  Avoid writing in all caps, using multiple exclamation or question marks, and emoticons.  

5.     Ask for help.  If you feel lost, or need clarification, ask.  If you don’t ask the questions your instructor and other students won’t be able to respond.  Besides, you’re probably not alone, but don’t wait for someone else to ask for you.

 

Statement of Instructor Modification Right

This syllabus is subject to alteration at the discretion of the instructor.  Notification of alteration will be provided to students via class announcement, e-mail, blackboard posting, or similar reasonable method.

 

Student Financial Responsibility Statement:

In addition to enrolling in classes, part of your enrollment responsibility is payment of your Business Office Account (tuition, fees, etc.)

If you have already paid your entire balance for the semester, and any past balances, thank you.

If you have not Carl Albert State College requires all students to either pay for their Business Office Account by the first day of class or enroll in the Nelnet Payment Plan located on the website by the first day of class.

Students who anticipate receiving financial aid must enroll in the Payment Plan as well.  If the financial aid pays for all costs then the payment plan will not go into effect.

If you have questions, please feel free to call the Business Office at 918-647-1325

 

                    







 

 

Subpages (1): Calculus II Homework
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