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Oglala Lakota College Course Syllabus
Course: Math 214, Calculus II
Prerequisites: Math 194 completed with a grade of C or better, or an acceptable score on the calculus qualifying examination, or permission of instructor.
Credits: 4 Class Section Number: HSC: 05, PSC: 02
Location: He Sapa & Pahin Sinte Scheduled Time: M/W 9:00 am to 11:00 am
Office Hours: 11:00 am to Noon, Monday and Wednesday
Instructor Information:
A. J Silva
Oglala Lakota College
P.O. Box 490
Kyle, SD 57752
Office Phone Number: (605) 455-6058 E-mail address: asilva@olc.edu
Course Description: Continuation of Math 194 for transcendental functions, Course covers integration of definite and indefinite integrals, differentiation and integration of natural logarithm, exponential functions, and inverse trigonometric functions. Students will apply calculus to find centroids, centers of mass, surface areas, and volumes, analyze fluids and to solve problems involving exponential growth and decay.
Required Text and Materials: Calculus, by Larson and Edwards, 9th Edition
Instructional Methodology: The class is offered vie the campus Pictel system. The content delivery will be by means of lecture and demonstration of problem solving techniques by the instructor using a document camera/television system. This class will originate at Pahin Sinte on Monday and at He Sapa on Wednesday. On Mondays when inclement weather prevents travel between Rapid City and Porcupine, the class will originate at He Sapa
Course Rationale: This class is a continuation of Calculus I. Mathematical techniques learned in Calculus II are used in all fields of engineering and in many scientific disciplines to evaluate relationships between variables. This course is required of all students going into engineering and many students majoring in science and business.
Course Objectives/Outcomes: Students who have successfully completed this course with a passing grade will be able to:
How to evaluate definite and indefinite integrals using a variety of methods
How to find the derivative and antiderivative of the natural logarithmic function and the natural exponential function
How to find the derivatives and antiderivatives of inverse trigonometric functions
How to find derivatives and antiderivatives of hyperbolic functions
How to use an exponential function to model growth and decay
How to use separation of variables to solve a differential equation
How to solve a first-order linear differential equation and a Bernoulli differential equation
How to use and apply calculus to solve problems involving centroids, center of mass, areas, volumes, and curve length.
Grading System: Final grades will be determined based on exam scores. Chapter exams will comprise 60% of the total course score. The comprehensive final exam will comprise 40% of the final course score.
Grades will be given as follows:
90 to 100% = A 60 to 69.9% = D
80 to 89.9% = B Below 60% = F
70 to 79.9% = C
No make up exam will be given following comprehensive final exam. Students who miss the final exam will receive a grade of zero for that exam and will not receive a passing grade for the course.
Course Policies
Oyanka (Attendance - literally: to be, such as to be present) Policy: Students are required to attend classes regularly. Instructors will submit attendance on-line, weekly, to the end of the semester. It is the students responsibility to monitor his or her attendance on the college Jenzabar site. If a student finds an error in the attendance record he/she must immediately notify the instructor of the error. A student may be dropped from a course after three consecutive absences and will be dropped by the Registrar after five total absences. There are No reinstatements and No exceptions for students who are dropped for five absences.
If a student wishes to be excused from a class, it is the student's responsibility to clear the absence with the instructor. At that time the student must arrange for a make-up assignment. However, an excused absence is the same as an absence until the student has completed work equivalent to being in class. Once the make up assignment is completed, the instructor will then change the absent to present.
The option to give a make-up assignment in lieu of class attendance will be at the instructors sole discretion. This provision of the policy will only be exercised when the absent is excused. As a general rule, an absence will be excused only when the instructor is notified that the student will be gone PRIOR to the scheduled class and only with good cause. Only in the most unusual circumstance will the absence be excused after the class has met. The instructor may require the student to document the reason for the absence (note from doctor, hospital, verification of death in family, etc) in order for the absence to be excused.
NOTE: The absences allowed under the college attendance policy (5 for a class that meets 15 time per semester, 10 for a class that meets 30 times per semester) should not be viewed by the student as holidays, personal days, or vacation days. It is anticipate that the student will attend ALL classes. When allowable absences are used, they should be for used in unusual circumstances such as personal illness, illness of a dependent child, death in the family, etc.
Tardiness: Generally speaking, if an instructor is going to be late getting to a college center for a class, the center staff should always be notified. The following policy applies in this class:
A student shall be considered tardy for class, if he/she arrives late for class, but during the first hour of the class. A student arriving later than this may be marked absent. This policy will not interfere with the instructor's prerogative to grade for class participation.
If an instructor is late for a class, students must wait for one-half hour. After this time, the class will be considered cancelled and must be made up.
In the event that no students appear for class at the scheduled starting time, the instructor should wait at least one-half hour before deciding to cancel the class.
Students who do not return from break or who leave class before the instructor has dismissed the class may be counted as absent or tardy depending on how early the student left class. The decision to count the student absent or tardy rests entirely with the instructor and is made at his sole discretion.
Withdrawal: If a student decides not to finish the class, it is the students responsibility to withdraw from the class. See your counselor for the appropriate form. The student may withdraw from the class at any time until final grades are posted on Jenzabar. As noted in the attendance policy, students with excessive absences will be dropped from the class by the Registrar. When a student is dropped from a class, a grade of W, for withdrawal, appears on the students transcript.
Incomplete: The grade of incomplete is only given when unusual circumstances require the student to miss a significant portion of the class. Documentation is required from a doctor, funeral home, etc. before the instructor will enter into an incomplete contract with a student.
The incomplete contract requires the signatures of the student, instructor, department head, and Registrar. It is the responsibility of the student to obtain the contract form and collect all of the required signatures. This process may take several days. Do not wait until the last week of the class to instigate the incomplete grade process.
Scholastic Dishonesty: OLC guidelines for plagiarism will be closely followed in this class. Plagiarism (passing off another persons work as your own) is an ethical violation that is not tolerated at OLC. Oglala Lakota College faculty and staff are fully aware of the many online resources that are now available, and we encourage you to focus on learning rather than the inappropriate use of another person's work without proper citation. Typically, plagiarism from copying other resources is not a problem in a math class. However, academic dishonesty includes knowingly representing anothers work as your own. Knowingly cheating on an exam by using cribbed notes, copying from another students paper, or utilizing modern technology (programmable computers, texting, etc) will not be tolerated.If you have questions or comments about plagiarism, how to most effectively learn in this course, or other issues, do not hesitate to contact your instructor, an academic advisor, or the program director.
Academic Freedom: Academic freedom is defined as the freedom of teachers and students to study and pursue knowledge and research without unreasonable interference or restriction. For students, the basic elements include freedom to study subjects that interest or concern them and to form conclusions for themselves and express their opinions.
Student Discipline: Students at Oglala Lakota College have the right to the highest quality education possible and to a fair and just treatment by all departments of this college. OLC students will abide by the standards of conduct while on college premises. Every student has the right to a safe learning environment. To ensure this safety, the following acts of misconduct are subject to disciplinary action:
Any actual or threatened physical violence
Gross disorderly conduct
Verbal abuse or harassment
Vandalism of OLC premises
Attending classes under the influence of alcohol or drugs
Failure to properly supervise children on college premises
Any other student conduct that causes a disruption in classes or business transactions on college
ADA Statement: If you have a disability that interferes with your ability to learn and in need of assistance please contact the OLC Coordinator of Support Services at 455-6040.
Utilization of Lakota Perspective: This course stresses Wolakotakiciapi of leaning Lakota ways of life in the community. Introducing Lakota perspective is as much a responsibility of the student as the instructor. Class interaction is important. Using the virtues of respect, wisdom, generosity, responsibility, integrity, fortitude and courage will be beneficial for all classmates and the instructor.
Course Outline/Schedule (always subject to change):
Wanji (Week 1) Review, Sec 4.4 Definite Integrals
Nunpa (Week 2) Sec 4.5 Integration by Substitution, Sec 4.6 Numerical Integration
Yamni (Week 3) Chapt. 4 applications, Sec 5.1 Differentiation - ln
Topa (Week 4) Exam (Chapt. 4), Sec 5.2 Integration - ln
Zaptan (Week 5) Sec. 5.3 Inverse Functions, Sec 5.4 Exponential Functions
Sakpe (Week 6) Sec 5.4 Exponential Functions, Sec 5.5 Non e bases
Sakowin (Week 7) Sec 5.6 and 5.7 Differentiation & Integration, Inverse Trig Functions
Saglogan (Week 8) Sec 5.8 Hyperbolic Functions, Chapt. 5 applications
Napciunka (Week 9) Exam (Chapt. 5), Sec 6.1 Slope Fields
Wikcemna (Week 10) Sec 6.2 Growth and Decay, Sec 6.3 Separation of Variables
Akewayji (Week 11) Sec 6.4 First Order Linear Differential Equations
Akenunpa (Week 12) Chapt. 6 applications, Exam Chapt. 6
April 16 24 Spring Break
Akeyamni (Week 13) Sec 7.1 Area between two curves, Sec 7.2 Volume
Aketopa (Week 14) Sec 7.4 Arc Length . Sec 7.5 Work
Akezaptan (Week 15) Sec 7.6 Moments, Center of Mass, Centroid, Final Exam
Oko ake icun (week again doing) or doing another week i.e. make-up week.
Disclaimer: The syllabus should not be considered a contract between Oglala Lakota College and any student. The instructor reserves the right to make changes in course content or instructional technique without notice or obligation
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