SYLLABUS

 

DIVISION OF MATHEMATICS & SCIENCE

 

COURSE INFORMATION SHEET FOR

 

MAT225  - CALCULUS AND ANALYTIC GEOMETRY II

CLINTON COMMUNITY COLLEGE

Plattsburgh, New York 12901

 

Course Syllabus

 

Spring 2007                     CALCULUS AND ANALYTIC GEOMETRY II

 

Office:  Room 535                                         No. SemesterHours-4

Office Hours:                                   No. Credit Hours – 4              Mon.  8-8:50A.M. ; 12-12:50PM                    No. Contact Hours - 4

      Tues. 11:00-11:50A.M.

      Wed. 8-8:50 A.M.

      Thur.

      Fri. 8-8:50 AM                            

Telephone:  (518) 562-4196

E-mail:  michael.helinger@clinton.edu

 

 

. COURSE DESCRIPTION:

This course is a continuation of MAT224.   Course topics include applications of integration, transcendental functions, techniques of integration, polar coordinates, infinite series including the Taylor Series and some differential equations.

 

II. PREREQUISITE: MAT224 - Calculus and Analytic Geometry I

 

III. COURSE OBJECTIVES:

As the result of instructional activities, students will be able to:

  1. Understand and appropriately use the technical vocabulary of the topics covered such as inverse, solid of revolution, surface of revolution, fluid pressure, arc length, partial fraction, improper integral, sequence, series, convergence, divergence, conic section, hyperbola, and polar coordinates
  2. Find the derivative and integral of various logarithmic, exponential, and trigonometric functions
  3. Find the inverse of a function
  4. Use exponential functions to model growth and decay in applied problems
  5. Use initial conditions to find particular solutions of differential equations
  6. Find the area between two curves
  7. Find the volume of a solid of revolution using the disc, washer, and shell methods.
  8. Find arc length of a smooth curve
  9. Find the area of surface of revolution
  10. Find the volume of a solid of revolution using the Theorem of Pappus
  11. Calculate work done by constant and variable forces
  12. Find the center of mass in one and two-dimensions
  13. Integrate using techniques such as integration by parts, trigonometric substitution, and methods of partial fractions
  14. Apply L’Hopital’s Rule to evaluate a limit
  15. Evaluate improper integrals
  16. List terms in a sequence
  17. Determine the convergence or divergence of a sequence
  18. Use series tests such as nth term, geometric, telescoping, integral, p-series, alternating, direct comparison, limit comparison, ratio, and root to determine the convergence or divergence of a series
  19. Determine the endpoint convergence of a power series
  20. Differentiate and integrate a power series
  21. Find the Taylor and Maclaurin polynomial approximations of elementary functions
  22. Write equations of parabolas, ellipses, and hyperbolas using their properties
  23. Sketch the graph of a curve given by a set of parametric equations
  24. Find the slope of a tangent line to a curve given by a set of parametric equations
  25. Rewrite rectangular equations in polar form and vice versa
  26. Sketch the graph of an equation given in polar form

 

IV. REQUIRED TEXTBOOK AND MATERIALS: 

 

REQUIRED TEXTBOOK:  

Calculus of a Single Variable, 8th  edition; Larson, Hostetler, and Edwards. Houghton Mifflin.
ISBN #0-618-69799-4.

 

REQUIRED MATERIALS:

A graphing calculator (the TI-83, TI-83 Plus, or TI-84 Plus are strongly recommended)

 

V.GENERAL TOPICS OUTLINE

 

GENERAL TOPICS OUTLINE:

I.                    Logarithmic, Exponential, and Other Transcendental Functions (textbook chapter 5)

including the natural logarithmic function and differentiation, the natural logarithmic function and integration, inverse functions, exponential functions and differentiation, exponential functions and integration, bases other than e and applications

II.                 Applications of Integration (textbook chapter 6)

including area of a region between two curves, volume using the disc method and the shell method, work, arc length and surfaces of revolution

III.               Integration Techniques, L’Hopital’s Rule, and Improper Integrals (textbook chapter 7)

including basic integration formulas, integration by parts, trigonometric integrals, trigonometric substitution, partial fractions, summary and integration by tables, numerical integration, indeterminate forms and L'Hopital's Rule, improper integrals

IV.              Infinite Series (textbook chapter 8)

including Taylor Polynomials and approximations, sequences, series and convergence, the integral test and p-series, comparisons of series, alternating series, the ratio and root tests, power series, representation of functions by power series, Taylor and Maclaurin Series

V.                 Conics (textbook chapter 9)

including parabolas, ellipses, hyperbola, rotation and the general second-degree equations

           

 

VI. Methods of Evaluation

Final Grades—90% of your final grade will come from the average of your four (4) one-hour exams.    These hour-exams will be announced at lest one week in advance, and a complete outline of the hour exams will be given in class.  There will also be an optional review class before each exam.

 

In accordance with the College policy in the catalog, credit will be taken off for incorrect spelling.  Repeated errors in the same word on the same exam will not be taken off more than once.  If these errors appear on Part I, they will result in loss of all credit for that particular part of a problem.        Abbreviations will not be permitted as a substitute for correct spelling.

 

The next 10% of your final grade will come from your average on the numerous quizzes.  These       quizzes will be announced or unannounced.  If it is unannounced it can only go back one week in our work.  The quizzes will vary from extremely simple quizzes to very difficult quizzes to determine class comprehension and retention.  Hour tests will be graded one week after the hour exam, but quizzes will be graded at the earliest convenience of the instructor, usually before the relevant hour exam.

 

 

 

 

 

 

Mid-semester Grades—Your mid-semester grade will be based on a straight percentage of the points accumulated thus far from both quizzes and hour tests.  For example, if there had been a one-hour exam and fifty points of quizzes by mid-semester, the total possible would be 150.  To get an “A” at mid-semester you would need 90% or 135 points in any combination.  Thus, you could get 85 on the hourly and 50 points on the quizzes and have an “A” for mid-semester.

 

VII. ATTENDANCE POLICY

The College policy on attendance states:

 

“When a student misses more than 15% of the class meetings for a particular course, his or her absence will be considered excessive.  Excessive absence may result in a student being involuntarily withdrawn from the course by the Registrar upon recommendation of the instructor and may in turn affect financial aid.  In such cases, the student will receive a grade of “WY.”

 

In this course, students exceeding 15% absence will be required to meet with the instructor in his       office to discuss reasons for absences and to evaluate the student’s situation and progress.  If possible, a strategy for completing the course will be jointly drawn up and signed.  Failure to comply with this procedure may result in the student’s being involuntarily withdrawn with a grade of “WY.”  When a student comes more than 10 minutes late, or leaves early for any reason, it will be counted as 1/3 of an absence.  When a students misses more than ½ of the class it will be counted as an absence.”

 

In general, I do not give “WY’s” past mid-semester grades.  If you disappear or exceed 15% absence after mid-semester grades, you can rest assured that you have an “F” for the semester.      According to the Fall 2005 Administrative Calendar, the last day to drop without penalty is November 3, 2006.  If you don’t want an “F” for a final grade, but have an average below 60%, you must accept the responsibility to WITHDRAW BY November 3, 2006.

 

 

            IF CIRCUMSTANCES BEYOND YOUR CONTROL PREVENT YOU FROM COMING TO      AN EXAM OR QUIZ, YOU MUST NOTIFY ME BEFORE THE TIME OF THE EXAM OR            QUIZ OR AS SOON THEREAFTER AS POSSIBLE, SO THAT, IN GENERAL, YOU CAN TAKE THE EXAM OR QUIZ BEFORE THE REGULARLY SCHEDULED EXAM. MAKE-UPS WILL BE GIVEN ONLY FOR       DOCUMENTED ACADEMIC CONFLICTS (e.g.     field trips, athletic buses officially leaving before the exam) OR DOCUMENTED MEDICAL EMERGENCIES (e.g. I must see receipt signed by Doctor’s office stating you were there on the day and time of the exam), or      DOCUMENTED MECHANICAL EMERGENCIES (e.g. a receipt from the tow truck that jump     started your car or towed it out of the ditch that indicates that your vehicle was not in service on the day and time of the exam). APPOINTMENTS FOR MAKE-UPS MUST BE REQUESTED AS SOON AS POSSIBLE, BUT NOT LATER THAN YOUR FIRST DAY BACK TO CLASS AFTER THE EXAM. IF YOU NOT REQUEST THE MAKE-UP BY THE END OF YOUR FIRST DAY BACK TO CLASS, THE CONSEQUENCE WILL BE A ZERO, 0, FOR THE EXAM.

 

No more than one appointment will be scheduled per person per make-up, whether it is for an hour test or a quiz.  If you miss your appointment for a make-up, you receive a zero for the grade.

 

VIII. Academic Honesty

All students are expected to behave with academic honesty.  It is a serious matter (please see College catalog - "Academic honesty is expected of all Clinton Community College students. It is academically dishonest, for example, to misrepresent another person’s work as one’s own, to take credit for someone else’s work or ideas, to accept help on a test, to obtain advanced information on confidential test materials, or to intentionally harm another student’s chances for academic success.").

 

In this class students caught cheating will have three choices.

 

1.   The student may take an immediate grade of “F” for the course.

2.   The student may withdraw from the course immediately.

3.   The student and I will go immediately to the Office of the Vice President for Academic Affairs and I will hand him or his secretary a copy of the evidence.  I will then follow the recommendation of the Vice President in deciding the penalty.

 

IX. Grading Scale

      Numerical equivalents of letter grades for this course.

 

      Letter Grade      Numerical Interval

               A                   90-100

               A-                 87-89

               B+                 84-86

               B                   80-83

               B-                 77-79

               C+                74-76

               C                   70-73

               C-                 67-69

               D+                64-66

               D                   60-63

 

X.  Special Reminders

If you have, or suspect you may have, any type of disability or learning problem that may require       extra assistance or special accommodations, please speak to Laurie Bethka, Room 420M in the       Tutoring Center, for further assistance.

 

Please remember to turn off all cell phones before coming to class.  CELL PHONES MUST BE TURNED OFF BEFORE COMING INTO THE CLASSROOM.  The first time a cell phone rings in the classroom the entire class will be warned.  From then on, when a cell phone rings, that person will be required to leave for the remainder of the class.  NO EXCEPTIONS.

 

Also, please be advised that I consider carrying on private conversations on cell phones or in person during class as disruptive behavior, and therefore, a violation of the Code of Student Conduct.  Such behavior can result in suspension from class.