General Information †††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Fall 2009††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††

Course Title and Number: Calculus I, Math 201

Required Text: Calculus 8th ed., by Larson, Hostetler & Edwards

Instructor: Don Robinson, Professor of Mathematics

Institution: Allegany College of Maryland, Cumberland, MD

Faculty Office: Humanities Bldg, H-23.† My e-mail address is:

Telephone: 301-784-5000-X5237, 814-652-9528-X5237, 814-445-2760-X5237 or directly at 301-784-5237.† If Iím not in my office, please leave a message on my voice mail, speaking slowly and clearly.† You may speak with the faculty secretary at X5289.

Fax number is 301 784 5060

Office Hours: MTWRF 9:00-9:45 am and other times by appointment.

Class time: Web class.†

Please note: Under extenuating circumstances, the instructor has the right to change any course provisions or requirements during the semester.

I.                    PURPOSE


A.     This course involves the study of limits, continuity and differentiation of algebraic and trigonometric functions; chain rules; maximum-minimum problems; curve plotting; Rolleís and mean value theorems; and definite & indefinite integration of functions and their applications.† It is the first course in a sequence of three calculus courses.† A graphic calculator will be required as a tool in this course.

B.     Course Objectives:

††††††††††††††††††††††† Students will be able toÖ

1.      Review the following pre-calculus topics- real numbers, absolute value and distance, inequalities, the coordinate plane, equations, slope and graphs of functions.

2.      Classify and use operations on functions, solve limit problems, and see how calculus uses velocity and tangents to curves.

3.      Differentiate algebraic and trigonometric functions, use the chain rule, perform implicit differentiation and understand the concepts of continuity.

4.      Apply the rules and techniques of differentiation in finding- rates, intervals of increase/decrease, maximum/minimum values of functions, concavity, curve sketching and applied optimization problems as well as using the first and second derivative tests, Rolleís theorem and the mean vales theorem.

5.      Integrate (definite & indefinite) and apply it to areas, average value and real life problems as well as use sigma notation and the first and second fundamental theorems of calculus.

6.      Differentiate and integrate to solve applied problems involving exponential and logarithmic functions.

II.                 COURSE POLICIES


A.     Attention is required!†In compliance with college regulations, a student will be dropped if he/she is not trying to function in the class.†

B.     Class participation will not count in any way toward your grade, but you are encouraged to actively participate with questions on items you do not understand as they are discussed in the web materials. I will expect an email every week from each student, describing what they understand and are not clear on, including the numbers and pages of problems they were not able to solve without my assistance.

C.     Unit exams usually cover one chapter or so and I may collect problems weekly that are graded and added to unit exams.† The last evaluation is not strictly comprehensive, but due to the spiral nature of calculus, will have topics that relate back to the beginning of the course.† All evaluations and collected problems involve points which are converted to a letter grade using the standard college scale: A= 90%-100%, B= 80%-89%, C= 70%-79%, D= 60%-69%, F= below 60%.† An ďXĒ grade can be granted to a student who does not pass the course but who has shown diligent effort, evidence of tutoring, all evaluations taken and participation via email.

D.     Extra credit problems may be offered to everyone at my discretion.† Donít ask for special individual extra credit near the end of the semester to try to pull your grade up.

E.      Please feel free to come to my office for help.† If Iím in my office and Iím not helping someone else at the time, just stop in!† I should be high on your list of reference people to whom you can turn for help.† The sooner you get help when you are confused, the less likely you will get too far behind.† If you feel that you need drill, review, extended practice or a great deal of time with a knowledgeable person- please obtain a tutor at the Instructional Assistance center, H-58, in the Humanities Building. Note: I expect to have many questions email to me and I will answer ASAP, likely to be within 24 hours.

F.      PRACTICE† PROBLEM ASSIGNMENTS are usually odd numbered problems from each topic in the calculus listed on the last page of this syllabus and are included to guarantee your success.† If you spend TWO hours each day outside of class solving problems that involve the skills and concepts of each topic in the calculus, you should succeed!† Practice problems may NOT be collected or graded and should be kept in a notebook to help you prepare for the unit exams.† In order to do calculus you must DO calculus- it is not a spectator sport!† You should check your answers in the back of the boo, emailing about the answers that don't match.

G.     I might ask that some problems be turned in to me. This can happen by email if you type them, by email if you write them in pencil and scan them, or if yoiu use a FAX machine and use a black pen to write them. Make sure each is clearly labelled with you name, section, and problem number.

H.     Consult the Allegany College student handbook for the policy concerning plagiarism and cheating.

I.        Make up exams: If you know you will be absent on the day in which a unit exam is scheduled you must make arrangements with me to take the exam in the testing lab prior to the in-class exam.† If no such arrangements can be made, you must wait until the last week of the semester to take a make up exam.† One make up exam is all you get!†

J.       There are no library assignments or required extra readings for this course.† The TI-83 Plus or better is a required graphic calculator for the calculus student. I have no expertise on the TI-inspire but know most of the rest. (Don't throw the manual away!!)

K.    If you have a disability that impairs your access to this course or your ability to pursue the coursework as it is presented, please visit the Instructional Assistance Center (IAC) in the Humanities Building.

III.               COURSE CONTENT

Unit I (3-4 weeks)

††††† Ch. P: Preparation for the Calculus

††††† Ch. 1: Limits and Their Properties

Unit II (2 weeks)

††††† Ch. 2: Differentiation

Unit III† (2 weeks)†

Ch. 3: Applications of Differentiation

Unit IV (2-3 weeks)

††††† Ch. 4: Integration

Unit V (3-4 weeks)

††††† Ch. 5: Logarithmic, Exponential & Other Transcendental Functions

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