Metropolitan Campus
Business & Technology Unit
Spring/2006
MATH-1610
CALCULUS I
Credits: 05
Section(s) Day(s) Time Rm
10729 M W 5:30 pm-7:45 pm Hum 318
Instructor: Dr. Joseph Arendt
Office: HUM 202 (math lounge)
Mailbox in Part-Time Office, Sci Tech Building, Room 118
Phone: (216) 987-4123
E-mail Address: joseph.arendt@tri-c.edu
Office Hours: After class, or by appointment.
COURSE DESCRIPTION:
First of three semester sequence designed for math, science, and engineering majors. Includes the study of Cartesian coordinates, functions and graphs, limits and continuity, differentiation of algebraic and trigonometric functions, applications of the derivative, differentials and antiderivatives, the definite integral and its applications.
Lecture Hours: 05 Laboratory Hours: 00
COURSE PREREQUISITE(S):
MATH-1580 Precalculus; or MATH-1510 Trigonometry and MATH-1520 College Algebra; or sufficient score on assessment test; or departmental approval: equivalent coursework.
PERFORMANCE OBJECTIVES:
Upon successful completion of MATH-1610 Calculus I, the student should be able to:
A. Use the properties of real numbers to solve equations and inequalities including those involving absolute value.
B. Perform operations on functions and graph functions.
C. Demonstrate the use of the definition of a limit and apply limit theorems.
D. Graph using horizontal and vertical asymptotes.
E. Demonstrate the use of the definition of continuity and apply continuity theorems.
F. Use the definition of a derivative to find the derivative of a function.
G. Use derivative theorems to find the derivative of functions including the trigonometric.
H. Apply derivatives to solve various types of problems, including maxima and minima, related rates, and graphing functions.
I. State and interpret the Mean-Value Theorem.
J. Find the antiderivative of algebraic functions.
K. Use the differential to solve problems.
L. State and interpret the Mean-Value Theorem for integrals and the Fundamental Theorem of the Calculus.
M. Find the area bound by a curve by using approximate integration techniques.
N. Apply the definite integral to solve various types of problems, including area and volume.
O. Use the calculator/computer as a tool to assist in the computations and manipulations of the calculus.
INSTRUCTOR'S EXPECTATIONS:
I expect regular attendance, selected homework announced weekly in class to be turned in on time, and ability to explain and use main concepts from this course. Careful reading of my Grading Policy will show that attendance by itself is not part of the grade. Only test scores and homework grades are used. Nevertheless, material from all lectures will appear in the homework and tests, so excellent attendance is highly recommended, and regular attendance fit well with success of students in a previous semester.
The Academic Credit section states, “two hours of significant student study outside of class for each one hour in class.” Please be aware that Calculus I is a five credit course, so it takes considerable more time and effort than a typical three credit math course.
TEXTBOOK/INSTRUCTIONAL MATERIALS:
Calculus; Varberg, Purcell and Rigdon; Eighth Edition; Prentice-Hall, Inc.; (c) 2000.
A graphing calculator is required. The Texas Instruments TI-83 orTI-83 Plus is recommended, while there are other similar models in the TI line that may also work but may also have some differences so be sure to bring the manual if you have questions on those. If a graphing calculator other than these is chosen, the student will have to learn to use it himself or herself. Dr. Arendt is only familiar with the model listed, but how to use some other models can vary wildly.
A TI Graphics Calculator Approach to Calculus, Gresser, Prentice-Hall, Inc., (c) 1999. Please note that this book applies only to the TI-82, TI-83, TI-83 plus, TI-85 and TI-86 calculators, with emphasis on the TI-83 and TI-86. So, if you have a different graphing calculator such as a HP, the specific calculator keys and menus will differ.
ATTENDANCE:
Regular class attendance is required. An instructor may withdraw a student for excessive absence if the student has missed the equivalent of one week of instruction unless arrangements satisfactory to the instructor can be made by the student to demonstrate that he/she can make acceptable academic progress (College Policy).
WITHDRAWAL:
Students may withdraw from any semester course prior to the end of the twelfth week of the full term, or 80 percent of any instructional part of term. Specific withdrawal dates are available by term in the Campus Admissions and Records Offices or published in the schedule of courses.
Up to the last day of the twelfth week of the semester, a student may withdraw from a course(s) for any reason. Withdrawal from a course prior to the last day of the second week of the semester will have no notation made in permanent records--withdrawal thereafter will be noted with a "W."
If a student misses class time for the equivalent of one week of instruction, an instructor has the option to withdraw the student for excessive absence. The instructor may elect not to exercise this option, however, and it is the student's responsibility to make sure that an official withdrawal takes place.
All transactions involving withdrawal from courses shall be done in writing and on forms provided by the college. A student's failure to attend classes shall not constitute an official withdrawal. The withdrawal date for this course without a record on the transcript is January 27, 2006. The withdrawal date with a W grade on the transcript is April 14, 2006.
TESTS, QUIZZES & HOMEWORK ASSIGNMENTS:
There will be four regular tests, plus a cumulative final exam. Homework to be collected will be a selection taken from what is on the syllabus, and the selection will be announced in class two classes before the due date. The lowest of the four regular tests will automatically be excluded. The final exam must not be missed, and will not be replaced with any other test score.
FINAL EXAM:
Monday, May 15, 2006, 5:30 pm, HUM 318. The Final Exam is two hours long.
MAKE-UP POLICY:
Only for a verifiable doctor’s excuse will a make-up test be scheduled. This is a strict requirement, but keep in mind that one of the four regular tests will be dropped as explained in the Grading Policy/Scale. For assigned homework, it will be accepted late with a penalty of the instructor’s discretion until that material is covered on an exam, after which that late homework will not be accepted.
GRADING POLICY/SCALE:
A grade of A for 90%-100%; B for 80%-89%; C for 70%-79%; D for 60%-69%; F for 0-59%.
Lowest score of four regular tests (not including the final) will be dropped. The final exam is mandatory. No other test score will substitute for it.
20% each (for 60% total) Three regular tests (after lowest dropped)
5% Homework
35% Final exam
Consider if one had 90% on each of the four tests and 90% on the homework, but missed the final exam. One of the four regular tests automatically goes away. This then works out to 90%(0.2) + 90%(0.2) + 90%(0.2) + 90%(0.05) = 58.5%. That is under 60%, so it is an overall grade of F! This means one can be going into the final exam with a low grade of A, but merely by missing the final exam get an F! Taking the final exam is vitally important!
INCOMPLETE (I) GRADES:
A notation of "I" indicates that a student has not completed all course requirements as a result of circumstances judged by the instructor to be beyond the student's control. A student must complete all course requirements no later than the end of the sixth week of the academic term following the semester in which the "I" was noted. Failure to complete such requirements will result in an "F" (failing) grade.
ACADEMIC CREDIT:
In order to award one (1) semester hour of college credit, the Ohio Board of Regents requires two hours of significant student study outside of class for each one hour in class for the equivalent of an academic semester (16 weeks).
DISABILITIES
Students with disabilities at Cuyahoga Community College are expected to take an assertive role in communicating with faculty and staff members about their need for reasonable accommodation.
If you need course adaptations or accommodations because of a disability, if you have emergency medical information to share with me, or if you need special arrangements in case the building must be evacuated, please contact me as soon as possible.
Please communicate to the instructor any disability that might prevent taking the test in the classroom in the same time period as the other students early in the class well before the test itself is taking place. For my courses, under no circumstances will a regular classroom test or the final exam be given as a take-home test to be done without supervision overnight or over several days. Instead, a different location and time will be provided to students with disabilities who require it, with more time allowed or other requirements that they might have.
If you want to talk to me, I can be reached at arendtj@att.net
Last modified January 20, 2006