Calculus I


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

Term:  Fall 2016

Course:    Math 2265   Calculus and Analytic Geometry I
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 978-1-337-27534-7

Course Description:
           
This course covers rectangular coordinates, straight lines and conic sections, polar coordinates, general equations of the second degree, function, limits, derivatives, differentials, indefinite and definite integrals, and applications.

Credit Hours: 
5.00
Prerequisites:  
Math 1513 and Math 1613.

 

 Student Learning Outcomes (SLO’s):

SLO 1. Upon Completion of the course students will be able to evaluate limits with basic rules.
-Students will be able to find limits graphically and numerically.
-Students will be able to evaluate limits analytically.
-Students will be able to determine continuity at a point and on an open interval.
-Students will be able to distinguish difference between one-sided limits and double sided limits.
-Students will be able to calculate infinite limits and limits at infinity to find vertical and horizontal asymptotes.

 SLO 2. Upon completion of the course students will be able to apply Derivative Rules to find derivatives.
-Students will be able to find the derivative of a function using the limit definition and understand the relationship between differentiability and continuity.
-Students will be able to compute the derivative of a function using basic differentiation rules.
-Students will be able to calculate the derivative of a function using the Product Rule and the Quotient Rule.
-Students will be able to find the derivative of a function using the Chain Rule and the General Power Rule.
-Students will be able to verify the derivative of a function using graphing calculators.
-Students will be able to contrast the difference between explicit and implicit differentiation.
-Students will be able to verify Rolle’s Theorem and Mean Value Theorem.

SLO 3. Upon completion of the course students will be able to apply Integral Rules to find integrals.
-Students will be able to evaluate indefinite integrals using basic integration rules.
-Students will be able to evaluate a definite integral using a limit.
-Students will be able to evaluate a definite integral using known geometry formulas.
-Students will be able to use fundamental theorem of calculus to find definite integrals.
-Students will be able to approximate a definite integral using the Trapezoidal Rule and Simpson’s Rule.
-Students will be able to evaluate a definite integral using the Fundamental Theorem of Calculus.
-Students will be able to compute different types of definite and indefinite integrals using a variety of methods.

SLO 4. Upon completion of the course students will be able to solve Applied Problems involving Differentiation.
-Students will be able to find a related rate.
-Students will be able to solve optimization problems.

SLO 5. Upon completion of the course students will be able to solve Applied Problems involving Integration.
-Students will be able to calculate area under curve.
-Students will be able to solve for center of mass of plane region, volume and surface of revolution, and arclength.
-Students will be able to solve work problems.
-Students will be able to solve fluid pressure and fluid force problems.

SLO 6. Upon completion of the course students will be able to graph Polynomial, Rational, Trigonometric Logarithms, Exponential Functions using algebra and trigonometry.
-Students will be able to graph a function using the techniques from college algebra.
-Students will be able to find x-intercepts, y-intercepts.
-Students will be able to analyze x-axis , y-axis, and origin symmetry.
-Students will be able to decide where are the asymptotes.
-Students will be able to predict endpoint behavior.
-Students will be able to use technology such as graphing calculator and computer software to verify hand drawn graphs.

SLO 7. Upon completion of the course students will be able to graph Polynomial, Rational, Trigonometric Logarithms, Exponential Functions using calculus.
-Students will be able to use the first derivative to determine whether a function is increasing or decreasing.
-Students will be able to use a derivative to locate the minimum and maximum values of a function on a closed interval.
-Students will be able to apply the second derivative to determine whether the graph of a function is concave upward or concave downward.
-Students will be able to find horizontal and vertical asymptotes of the graph of a function using limits.
-Students will be able to use technology such as graphing calculators and computer software to find, extrema , zeros, and slopes of curves.

SLO 8. Upon completion of the course students will be able to analyze first order differential equations and with applications such as Radioactive Decay and Exponential Growth.
-Students will be able to solve exponential growth and radioactive decay problems.
-Students will be able to calculate compound interest.
-Students will be able to predict a future population with exponential growth or logistic model.

SLO 9. Upon completion of the course students will be able to visualize and calculate geometrical quantities.  Such as volumes, centroids, surface area of solids of revolution along with arc lengths and area bounded by curves.
-Students will be able to evaluate a sum and approximate the area of a plane region.
-Students will be able to use definite integrals to calculate exact area under curves.
-Students will be able to use a graphing calculator to verify hand calculations of area.
-Students will be able to use definite integrals setting up shell, disk, or washer methods to calculate volumes of solids of revolution.
-Students will be able to apply definite integrals to calculate arclengths and surface area.

SLO 10. Upon completion of the course students will be able to verify basic geometric formulas using integration.
-Students will be able to prove formula of area of circle.
-Students will be able to prove formula of volume of sphere and cone.
-Students will be able to prove formula of surface area of sphere.
-Students will be able to prove formula of circumference of circle.




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:
P1 Multiples of 3 through 54
P2 Multiples of 3 through 54
P3 Multiples of 3 through 48
1.2 3, 9, 12, 13, 18, 19, 21, 23
1.3 Multiples of 5 through 55
1.4 Multiples of 3 through 18, 25, 29, 33, 45
1.5 Multiples of 3 through 45
2.1 Multiples of 3 through 39
2.2 Multiples of 3 through 45
2.3 Multiples of 3 through 60
2.4 Multiples of 3 through 60
2.5 3, 6, 9, 13, 15, 17, 21, 27, 35, 45
2.6 3, 15, 19, 24, 26, 30, 32, 35
3.1 Multiples of 3 through 30
3.2 Multiples of 3 through 24
3.3 Multiples of 3 through 45
3.4 Multiples of 3 through 36
3.5 Multiples of 3 through 33
3.6 Multiples of 3 through 30
3.7 2c, 3, 9, 19, 20, 23, 27, 28, 49
4.1 Multiples of 3 through 3
4.2 Multiples of 3 through 24
4.3 3, 7, 16, 23, 31, 37
4.4 Multiples of 3; 6 through 33
4.5 Multiples of 3; 9 through 33
4.6 Multiples of 3 through 18
5.1 11, 16, 17, 21, 37, 45, 48, 56, 57, 63, 71
5.2 Multiples of 3 through 33, 48, 51
5.3 1, 5, 7, 9, 23, 29, 32, 71, 81
5.4 Multiples of 3 through 18, 35, 38, 45, 49, 85, 87, 93
5.5 Multiples of 3 through 27, 37, 45, 49, 61
5.6 Multiples of 3 through 27, 29, 31, 32, 41, 48, 55, 61
5.7 Multiples of 3 through 30
5.8 Multiples of 3 through 60
6.2 3, 42, 43, 53, 62
7.1 Multiples of 3 through 30
7.2 Multiples of 3 through 30
7.3 Multiples of 3 through 30
7.4 Multiples of 3 through 24
7.5 1,8,19,21,27,31
7.7  1,10,13,20,23,24

 

 

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. Click here to enter/paste text.

         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. The Poteau office is located in the Ollie Building on the third floor office number 1308. You can also reach me in the LRC/NARC room 1318. Phone is 918-647-1319 

 

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.

     Health Services: CASC Student Affairs/Student Life is designated as the first stop for students/employees in assisting them with primary care health services and holistic health prevention measures through a partnership with Stigler Health & Wellness Center, Inc. Please contact the Office of Student Affairs/Student Life for a “Healthcare Eligibility Form”.

Poteau Health & Wellness Center and Sallisaw Health & Wellness Center will provide treatment of minor illness, injuries, and behavioral health services. Understand that the student/employee is responsible for providing Medicaid, Private Insurance, and/or paying the minimum Office Visit Fees (See below); CASC has no obligation for payment of the minimum Office Visit Fees.

      Student Counseling Services: Carl Albert State College is committed to assisting students in all areas of their lives. Student success and well-being is of the utmost importance and it is our goal to improve the quality of life so that personal and academic growth can take place. CASC suggests students utilize the preventative counseling services that are provided through the Oklahoma Department of Mental Health and Substance Abuse.

In addition the following local agency, Cavanal Counseling, will provide free counseling services for victims of domestic violence, dating violence, sexual assault, and stalking. Choctaw Nation has provided a grant to cover these costs for all CASC students. For additional assistance, please contact the Office of Student Affairs/Student Life in Hemphill Hall at 918-647-1370.

·       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 I Homework
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