Download Calculus II Spring 2015

Course Syllabus
Mathematics
HCC SouthEast Campus
Math 2414: Calculus II
CRN 44499– Spring 2015
AM Rm 310| 11:00 to 1:00PM |. M,,We )
4 hour lecture course
TextbookCalculus by Larson Edward , (10th ed)
Webassign CourseID: hccs 7436 8223
Instructor: Jamel Ferchichi
Instructor Contact Information: [email protected]
Office Hours: 8:00-9:30
Catalog Description: Calculus II. Integral calculus including discussions of transcendental functions,
applications of integration, integration techniques and improper integrals, infinite series, Taylor series,
plane curves, and polar coordinates. 4 credit (4 lecture).
Prerequisites: Math 2413: Pass with a “C” or better.
Course Intent: This course provides a detailed study of the logarithmic, exponential, and other
transcendental functions, integration techniques with applications, L’Hopital’s rule, an introduction to
infinite series and power series, as well as Taylor polynomials and approximations, plane curves, parametric
equations, and polar coordinates.
Audience: This course is intended basically for students who are pursuing degrees in mathematical sciences
and engineering and who are required by the nature of their respective curricula to enroll in the 3-semester
calculus series. Students enrolled in other areas not requiring calculus may wish to take this course as an
elective to broaden their mathematical background provided the necessary prerequisites have been met.
Course Objectives: Upon completion of this course, a student should be able to:
1.
2.
3.
4.
5.
6.
Define and use transcendental functions including logarithmic and exponential functions.
Compute derivatives and antiderivatives involving transcendental functions.
Apply integration to various applications.
Show various integration techniques.
Show correct usage of L’Hopital’s rule.
Describe and solve improper integrals.
Math 2414
7.
8.
9.
Recognize and use infinite series.
Recognize and apply Taylor series to various problems.
Demonstrate knowledge of plane curves and polar coordinates.
Textbook: Calculus, by Ron Larson and Bruce H. Edwards, Tenth Edition. Brooks/Cole Engage Learning
Course Outline: Instructors may find it preferable to cover the course topics in the order listed below.
However, the instructor may choose to organize topics in any order, but all material must be covered.
APPROXIMATE TIME
TEXT REFERENCE
Unit I - Logarithmic, Exponential,
and Other Transcendental Functions
(12 Hours)
Sections: 5.1, 5.2, 5.3,
5.4, 5.5, 5.6,
5.7, 5.8
This unit presents the concept of logarithms. The instructor should emphasize the natural logarithmic
function with respect to differentiation and integration, inverse functions, exponential functions with respect
to differentiation and integration, and bases other than e and applications. Inverse trigonometric functions
should also be presented. This unit concludes with a study of hyperbolic functions
Unit II - Applications of Integration
(14 Hours)
Sections: 7.1, 7.2, 7.3,
7.4, 7.5, 7.6,
7.7
This unit presents applications of integration. The instructor should emphasize area of a region between
two curves, volume-the disc method, volume-the shell method, arc length and surfaces of revolution, work,
moments, centers of mass, and centroids. This unit concludes with fluid pressure and fluid force.
Unit III - Integration Techniques, L’Hopital’s Rule, and
Improper Integrals
(14 Hours)
Sections: 8.1, 8.2, 8.3,
8.4, 8.5, 8.6,
8.7, 8.8
This unit includes integration techniques. The instructor should emphasize basic integration rules,
integration by parts, trigonometric integrals and substitution, partial fractions, integration by tables, other
integration techniques, indeterminate forms and L’Hopital’s Rule. This unit concludes with improper
integrals.
Unit IV- Infinite Series
(14 Hours)
Sections: 9.1, 9.2, 9.3,
9.4, 9.5, 9.6
9.7, 9.8, 9.9,
9.10
This unit includes the basic concepts of infinite series. The instructor should emphasize sequences, series
and convergence, the Integral Test and p-series, comparisons of series, alternating series, Ratio and Root
2
Math 2414
Tests, Taylor polynomials and approximations, power series, and representation of functions by power
series. This unit concludes with a discussion of Taylor and Maclaurin series.
Instructional Methods
I have very high expectation from all students; therefore, you must submit all work
Student Assignments
Assignments have been developed that will enhance your learning. To better understand a topic, you will be given
assignments on key information that you need to remember for your success in your career. Students will be required to
successfully complete the following:
1Homework that are assigned by your professor AND all homework using Webassign
2Quizes
3Test
4Midterm and Final
Assessments
Homework
15%
(Quizes
9%
Attendance
Participation )
Test 1
17%
Test2
17%
Test 3
17%
Final Exam
25%
HCC Policy Statement: Academic Honesty
A student who is academically dishonest is, by definition, not showing that the coursework has been learned, and that
student is claiming an advantage not available to other students. The instructor is responsible for measuring each
student's individual achievements and also for ensuring that all students compete on a level playing field. Thus, in our
system, the instructor has teaching, grading, and enforcement roles. You are expected to be familiar with the
University's Policy on Academic Honesty, found in the catalog. What that means is: If you are charged with an offense,
pleading ignorance of the rules will not help you. Students are responsible for conducting themselves with honor and
integrity in fulfilling course requirements. Penalties and/or disciplinary proceedings may be initiated by College System
officials against a student accused of scholastic dishonesty. “Scholastic dishonesty”: includes, but is not limited to,
cheating on a test, plagiarism, and collusion.
Cheating on a test includes:

Copying from another students’ test paper;

Using materials not authorized by the person giving the test;

Collaborating with another student during a test without authorization;

Knowingly using, buying, selling, stealing, transporting, or soliciting in whole or part the contents of a test not
yet administered;

Bribing another person to obtain a test that is to be administered.
Plagiarism means the appropriation of another’s work and the unacknowledged incorporation of that work in one’s own
written work offered for credit.
Collusion mean the unauthorized collaboration with another person in preparing written work offered for credit.
Possible punishments for academic dishonesty may include a grade of 0 or F in the particular assignment, failure in the
course, and/or recommendation for probation or dismissal from the College System. (See the Student Handbook)
HCC Policy Statements
Class Attendance - It is important that you come to class! Attending class regularly is the best way to succeed in this
class. Research has shown that the single most important factor in student success is attendance. Simply put, going to
class greatly increases your ability to succeed. You are expected to be on time at the beginning of each class period. For
complete information regarding Houston Community College’s policies on attendance, please refer to the Student
3
Math 2414
Handbook. You are responsible for materials covered during your absences. Class attendance is checked daily.
Although it is your responsibility to drop a course for nonattendance, the instructor has the authority to drop you for
excessive absences.
If you are not attending class, you are not learning the information. As the information that is discussed in class is
important for your career, students may be dropped from a course after accumulating absences in excess of six (6)
hours of instruction. The six hours of class time would include any total classes missed or for excessive tardiness or
leaving class early.
You may decide NOT to come to class for whatever reason. As an adult making the decision not to attend, you do not
have to notify the instructor prior to missing a class. However, if this happens too many times, you may suddenly find
that you have “lost” the class.
Poor attendance records tend to correlate with poor grades. If you miss any class, including the first week, you are
responsible for all material missed. It is a good idea to find a friend or a buddy in class who would be willing to share
class notes or discussion or be able to hand in your work if you unavoidably miss a class
HCC Course Withdrawal Policy
If you feel that you cannot complete this course, you will need to withdraw from the course prior to the final date of
withdrawal. Before, you withdraw from your course; please take the time to meet with the instructor to discuss why
you feel it is necessary to do so. The instructor may be able to provide you with suggestions that would enable you to
complete the course. Your success is very important. Beginning in fall 2007, the Texas Legislature passed a law
limiting first time entering freshmen to no more than SIX total course withdrawals throughout their educational career
in obtaining a certificate and/or degree.
To help students avoid having to drop/withdraw from any class, HCC has instituted an Early Alert process by which
your professor may “alert” you and HCC counselors that you might fail a class because of excessive absences and/or
poor academic performance. It is your responsibility to visit with your professor or a counselor to learn about what, if
any, HCC interventions might be available to assist you – online tutoring, child care, financial aid, job placement, etc. –
to stay in class and improve your academic performance.
If you plan on withdrawing from your class, you MUST contact a HCC counselor or your professor prior to
withdrawing (dropping) the class for approval and this must be done PRIOR to the withdrawal deadline to receive a
“W” on your transcript. **Final withdrawal deadlines vary each semester and/or depending on class length, please visit
the online registration calendars, HCC schedule of classes and catalog, any HCC Registration Office, or any HCC
counselor to determine class withdrawal deadlines. Remember to allow a 24-hour response time when
communicating via email and/or telephone with a professor and/or counselor. Do not submit a request to discuss
withdrawal options less than a day before the deadline. If you do not withdraw before the deadline, you will receive
the grade that you are making in the class as your final grade. The last day to withdraw March 24, 2015
Classroom Behavior
Use of Camera and/or Recording Devices
As a student active in the learning community of this course, it is your responsibility to be respectful of the learning
atmosphere in your classroom. To show respect of your fellow students and instructor, you will turn off your phone and
other electronic devices, and will not use these devices in the classroom unless you receive permission from the
instructor.
Use of recording devices, including camera phones and tape recorders, is prohibited in classrooms, laboratories, faculty
offices, and other locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a
recording device as a reasonable accommodation should contact the Office for Students with Disabilities for
information regarding reasonable accommodations
Instructor Requirements
4
Math 2414
As your Instructor, it is my responsibility to:

Provide the grading scale and detailed grading formula explaining how student grades are to be derived

Facilitate an effective learning environment through class activities, discussions, and lectures

Describe the requirements of any special projects or assignments

Inform students of policies such as attendance, withdrawal, tardiness and make up

Provide the course outline and class calendar which will include a description of any special projects or
assignments

Arrange to meet with individual students before and after class as required
To be successful in this class, it is the student’s responsibility to:

Attend class and participate in class discussions and activities

Read and comprehend the textbook

Complete the required assignments and exams:

Chapter Exams, Webassing, Homework, Final Exam

Ask for help when there is a question or problem

Keep copies of all paperwork, including this syllabus, handouts and all assignments
Resources:
Free tutoring is available in contact math department. Additional help is also available through tutoring center, library and
through Student Support Services. Students can get free assistance, 24 hours a day, 7 days a week, in Math, English and other
subjects, at www.hccs.askonline.net. Typically, posted questions are answered by an HCC tutor or faculty within 24 hours
(usually under 6 hours). There are also several online math resources that you can find with an internet search. You may also find
information on the Learning Web site accessible through your specific HCCS campus website.
No make up tests
5
Math 2414
Unit V - Plane Curves, Parametric Equations,
Polar Coordinates
(10 Hours)
Sections: 10.1(optional) , 10.2,
10.3, 10.4, 10.5, 10.6
This unit includes the basic concepts of plane curves, parametric equations, and polar coordinates. The
instructor should emphasize plane curves and parametric equations, parametric equations and calculus,
polar coordinates and polar graphs, and area and arc length in polar coordinates. This unit concludes with a
discussion of polar equations of conics and Kepler’s Laws. Section 1 of this chapter reviews conics and
may be covered optionally but is not required.
Departmental Policies:
1.
2.
3.
4.
5.
6.
7.
8.
Each instructor must cover all course topics by the end of the semester. The final exam is
comprehensive and questions on it can deal with any of the course objectives.
Each student should receive a copy of the instructor’s student syllabus for the course during the first
week of class.
A minimum of three in-class tests and a comprehensive final departmental examination must be given.
The final examination must be taken by all students.
All major tests should be announced at least one week or the equivalent in advance.
The final exam must count for at least 25 to 40 percent of the final grade.
The final course average will be used in the usual manner (90-100 ”A”; 80-89 “B”; 70-79 “C”;
60-69 “D”; Below 60 “F”).
Either an open book or a take home major test may be given at the discretion of the instructor.
Any review sheet should be comprehensive and the student should not feel that classroom notes,
homework, and tests may be ignored in favor of the review sheet for any examination.
Resource Materials: Any student enrolled in Math 2414 at HCCS has access to the Academic Support
Center where they may get additional help in understanding the theory or in improving their skills. The
Center is staffed with mathematics faculty and student assistants, and offers tutorial help, video tapes and
computer-assisted drills. Also available is a Student’s Solutions Manual which may be obtained from the
Bookstore.
Suggested Methods: It is helpful to begin each class with questions concerning the material discussed and
the assigned homework problems. In presenting new material, it is suggested that an explanation be
followed by students working examples in class. Students should be encouraged to work the review
exercises at the end of each chapter. Also, they should be encouraged to visit the Academic Support Center
at their respective colleges.
Americans With Disabilities Act (ADA): Students with Disabilities: Any student with a documented
disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable
accommodations must contact the Disability Services Office at the respective college at the beginning of
each semester.
6