Prerequisite: C or better in Basic Math Skills (MATD 0330 ...



Calculus I– Spring 2008

MATH 2413 Synonym # 13164 Section # 013

MWF 10:10 – 11:20 AM

ACC Rio Grande Campus Room 336

Instructor: Anne Praderas

Office Phone: 223-3356 I CAN ONLY RETURN LOCAL CALLS!

E-mail: apradera@austincc.edu

Webpage: austincc.edu/apradera

REQUIRED TEXT: Calculus: Concepts and Contexts,3rd ed., by James Stewart, Brooks/Cole 2005

REQUIRED TECHNOLOGY: You must have access to technology which enables you to (1) Graph a function, (2) Find the zeroes of a function. Specifically, the TI-83, TI-83Plus, or TI-84 will be used in class for demonstrations and are thus highly recommended for student use. Students may use another brand as long as they know how to work it. Note: During tests and quizzes, there will be NO CELL PHONE CALCULATORS and NO CALCULATOR SHARING allowed.

OPTIONAL SUPPORT MATERIALS: Student Solutions Manual, Single Variable by Jeffrey A. Cole, Study Guide by Dan Clegg, Scientific Notebook software, single version, Doing Calculus with Scientific Notebook, by Daniel W Hardy, Carol L Walker.

PREREQUISITE REQUIREMENTS: By the time you read this, I will have already checked your transcript(s) to see if you have completed all necessary prerequisite courses. I will also collect the first homework assignment (of review material) to see how your skills look. I will speak to you individually if I have questions or concerns; so if you don’t hear from me during the first week of classes, you have met the prerequisites. However, regardless of what courses you’ve taken, it is very important for you to have solid background skills. If your math background is weak, you will be responsible for doing work outside of class to fill-in the gaps, or you may consider switching to a different course if you need more support and instruction. For more information about prerequisites for calculus, please read the last page of this packet. If you have ANY questions about which class you should be in, please see me AS SOON AS POSSIBLE.

WHEN YOU NEED HELP…

• Try the ACC Learning Labs. Every ACC campus (except HBC) has a free tutoring center staffed with real-live math instructors who are there to help students (first-come, first-serve). You can get help with homework, test-preparation, and/or getting caught up after an absence. They may also have video lectures you can view. See austincc.edu/tutor for other campus locations. Rio Grande Campus Learning Lab (Room 212; phone#223-3367): M-Th 8AM-9PM, Fri 9AM-1PM.

• Come to Office Hours. After you have tried an assignment (homework, reading, test corrections, etc.) outside of class and come to a place where you are stuck, it can be tremendously helpful to have some one-on-one time with the professor (in any course!). Feel free to drop in during my office hours—no appointment needed—or contact me to arrange for other times when we’re both available. I am here to help, so don’t hesitate to come see me.

• Form a Study Group. This is how I got through my math courses in college! Find a person or two with whom you can do homework, prepare for tests, or call when one of you has a quick question. Both the “asker” and the “answerer” get helped by this process because finding and hearing new words for a concept reinforces and organizes the concept for both parties. Try it! It really works!

What I Expect From You

• Be sensitive to other people in the class. No matter who you are, there will be someone who knows less than you AND someone who knows more. Be patient and understanding with both types of people.

• Be an aggressive learner. Don’t just sit there and wait for the information to penetrate your brain; reach out and grab it! Participate in class as much as you feel comfortable doing. You will benefit from being involved!

• Please turn off any device which may beep, ring, vibrate, or otherwise distract you (and others) during class. Please do not listen to any electronic devices, have any earpieces in your ear(s) and/or exchange text messages during class.

• Get help when you need it. The Learning Lab is an excellent and FREE resource for you. Working together with a friend and/or visiting my office hours can also be very helpful.

• Do the work, come to class, study often, and with all of these, be on time.

• If you choose to drop the course for any reason, you are responsible for submitting appropriate paperwork and understanding how that may affect your academic plan or financial aid. Withdrawal deadline: April 21, 2008

What You May Expect From Me

• I will prepare clear and organized lectures with plenty of examples. I will also make a special effort to listen to your questions and respond in a way that’s helpful.

• I work hard to help you learn the material for this course, but I also try to make it fun. My goal is that you will find at least one moment of enjoyment and appreciation for mathematics, even if you have always “hated” math!

• I will have test grades for you on the following class day. I am open to hearing your valid disagreements about how I graded your paper, and I will gladly change your grade if I made a mistake or oversight.

• I will calculate your course grade periodically throughout the semester so you can see where you stand at that time.

• I will check my voice mail and e-mail at least 5 times a week (usually during my office hours).

• No appointments are necessary for office hours. Come on by! If you need to meet with me another time, we can arrange that individually.

Grade Distribution: Homework20% Spiral Reviews10% Quiz10% Tests60%

HOMEWORK (20%): You are expected to complete a set of practice problems for each text section we cover. In addition, you will be required to present one homework solution to the class on a rotating basis several times throughout the semester.

ON-PAPER ASSIGNMENTS: Practice problems for each section will be graded for completion and are due at the beginning of the next class meeting. Late assignments lose 20 points, and “late” means either 1) you came to class 10 or more minutes late; or 2) you were in class on the due date, but do not have the assignment until following class meeting. There is no late homework penalty if you are absent; just turn-in any due assignments at the beginning of the next class you attend. You must show all work to receive credit. I will collect your assignment at the beginning of each class day and have it back to you by the following class. For the assignments due right before a test, I will do a spot check during class so you have the assignment to study. Neatness & organization count! If your work is too messy, you may have to re-do it—and late points will be taken off.

Your grade will be…

➢ 100 if every problem is copied & attempted

➢ 80 if all but 1 or 2 problems are copied & attempted OR a completed assignment is late

➢ 50 if all but 3 problems up to half the assignment are copied & attempted OR if you have all the answers, but did not copy the problems.

➢ 0 if you have less than half of the assignment.

IN-CLASS PRESENTATIONS: Every day at the beginning of class one student will take 5 or fewer minutes to present to the class his/her solution to one homework exercise, to be decided upon in advance. Students will be selected in alphabetical order, announced starting 2 class days prior, and I will tell you which exercise to present. You are responsible for doing a presentation when it’s your turn whether or not you were in class to find out which problem to do on which day. If you have a sudden emergency or illness on your assigned presentation day, you must contact me as soon as possible to avoid getting a zero.

Grades will be assigned as follows…

➢ 100 for copying the problem on the board, correctly working it out step-by-step, and explaining each step clearly

➢ 80 for copying the problem, working it out correctly, but skipping significant steps, or making an error in the explanation 50 for copying the problem and trying to work it out, but not being able to come up with the correct answer, or not knowing how to explain it

➢ 0 for not doing the presentation or for being obviously clueless.

SPIRAL REVIEWS (10%): At the beginning of each test day, you will turn in a spiral notebook in which you have written notes and completed additional, NEW examples for that unit. The notes must include all definitions, procedures, and/or formulas we covered in each section, either written during class or copied from the text outside of class. The additional examples that you add in later must be DIFFERENT FROM CLASS EXAMPLES! Find problems from the text or online material to use as your examples. How to Organize It: With the spiral opened, take notes on one side only, then leave space on the opposing page to do more examples later, as shown. Please make sure you do not put any other work in this spiral--no homework or notes from other classes. The goal is for you to have a summary of calculus skills which may be helpful to you in future classes. The spiral review examples will also prepare you to take the unit tests. When you turn in your spiral, please have it open to the first page of that unit.

QUIZZES (20%): During the second week of classes, you will need to go to the Rio Grande Testing Center* to take a quiz over Chapter 1. The material in Chapter 1 is all review, so I chose not to give a formal test over it. The quiz will be closed- note and calculator usage will be announced in class. We will also have occasional in-class quizzes over recently covered material. These quizzes may be individual or group quizzes and will be announced ahead of time.

* Rio Grande Testing Center (Room 127; phone#223-3164) Hours: M-Th 8AM – 9PM Fri 8AM – 9PM Sat 9AM – 1PM

Please see last page of this packet for ACC’s Testing Center Policies.

TESTS (60%): There will be 4 unit tests (closed-note, closed-book) given during the semester, some in class, some in the Rio Grande Testing Center. Test dates are published in advance, but are subject to change. Changes will be announced in class. DO NOT MISS ANY TESTS! THERE ARE NO MAKE-UPS—A MISSED TEST COUNTS AS A ZERO. If you have an extraordinary circumstance which forces you to miss a test, you must contact me as soon as possible and discuss the situation with me. I will consider, but not guarantee, extending the test deadline or allowing your final exam grade to replace one test zero. My decision will be based on the circumstance and your overall effort/attendance in the course. If you miss a second test for any reason, that grade will be a zero. I REQUIRE PENCIL(with eraser used to eliminate scratch-outs and write-overs) ON ALL TESTS. Test questions will primarily come from the most recent chapter(s) covered in class, and material from prior chapters may also be included. I may give partial credit on tests provided: 1) the work is partially correct; 2) I can easily read and follow the work you’ve shown. Approved graphing calculators (no QWERTY keyboards) are allowed on all tests. NO CELL PHONE CALCULATORS, TEXT MESSAGING, OR CALCUALTOR SHARING DURING TESTS.

FINAL EXAM: A cumulative final exam will be given on the last two days of class. YES, YOU MUST BE THERE BOTH DAYS! Since our class periods are relatively short, I will plan to stay after class on each of the final exam dates to allow for more testing time. I recommend that you plan to stay late, too (or arrange with me to start early). The final exam is closed-note and approved calculators are allowed. There are NO MAKE-UPS, and NO TAKING IT IN ADVANCE. The final exam counts as one test. However, if your final exam grade is higher than your lowest test score, I will replace one low test grade with your final exam grade in addition to counting the final as a separate test. Missed test zeros will not be replaced by the final exam grade, unless I gave advance approval (as described in previous paragraph). Exam dates: Wednesday, May 7th and Friday, May 9th

Grades:

All of the above grades are based on a 100-point scale. Students should expect to receive one of the following grades, based on their average (see grade distribution above) at the end of the semester:

A=90-100 B=80-89 C=70-79 D=60-69 F=59 or below

NOTE: “I” or “Incomplete” grades are given only in extremely rare circumstances. Generally, to receive a grade of “I”, a student must have taken all examinations, be passing, and, after the last date to withdraw, have a personal tragedy which prevents course completion. Arrangements for completing the course will be made individually.

* * * * * * * * * * * * * * * * *

Course Description

MATH 2413 CALCULUS I (4-4-0). A standard first course in calculus. Topics include inequalities; functions; limits; continuity; the derivative; differentiation of algebraic functions and trigonometric functions; Newton's method; applications of the derivative; the integral; integration of algebraic functions and the sine and cosine functions; numerical integration; and applications of the integral. Prerequisites: MATH 2412 with C or better or equivalent. Another option is an appropriate secondary school course (one year of precalculus or the equivalent, including trigonometry, with a B or better) and a satisfactory entrance score on the ACC Mathematics Assessment Test.

Instructional Methodology

This course is taught in the classroom primarily as a lecture/discussion course.

Course Rationale

This course is the first course in the traditional calculus sequence for mathematics, science and engineering students. It is part of what could be a four-semester sequence in calculus courses. The approach allows the use of technology and the rule of four (topics are presented geometrically, numerically, algebraically, and verbally) to focus on conceptual understanding. At the same time, it retains the strength of the traditional calculus by exposing the students to the rigor of proofs and the full variety of traditional topics: limits, continuity, derivative, applications of the derivative, and an introduction to the definite integral.

Reinstatement Policy

Students who withdrew or were withdrawn generally will not be reinstated unless they have completed all homework and tests necessary to place them at the same level of course completion as the rest of the class.

Statement on Students with Disabilities

Each ACC campus offers support services for students with documented physical or psychological disabilities. Students with disabilities must request reasonable accommodations through the Office of Students with Disabilities on the campus where they expect to take the majority of their classes. Students are encouraged to do this three weeks before the start of the semester. Students who are requesting accommodation must provide the instructor with a letter of accommodation from the Office of Students with Disabilities (OSD) at the beginning of the semester. Accommodations can only be made after the instructor receives the letter of accommodation from OSD.

Statement on Scholastic Dishonesty

Acts prohibited by the college for which discipline may be administered include scholastic dishonesty, including but not limited to, cheating on an exam or quiz, plagiarizing, and unauthorized collaboration with another in preparing outside work. Academic work submitted by students shall be the result of their thought, work, research or self-expression. Academic work is defined as, but not limited to, tests, quizzes, whether taken electronically or on paper; projects, either individual or group; classroom presentations; and homework.

Statement on Scholastic Dishonesty Penalty

Students who violate the rules concerning scholastic dishonesty will be assessed an academic penalty that the instructor determines is in keeping with the seriousness of the offense. This academic penalty may range from a grade penalty on the particular assignment to an overall grade penalty in the course, including possibly an F in the course. ACC's policy can be found in the Student Handbook under Policies and Procedures or on the web at:

Statement on Academic Freedom

Institutions of higher education are conducted for the common good. The common good depends upon a search for truth and upon free expression. In this course the professor and students shall strive to protect free inquiry and the open exchange of facts, ideas, and opinions. Students are free to take exception to views offered in this course and to reserve judgment about debatable issues. Grades will not be affected by personal views. With this freedom comes the responsibility of civility and a respect for a diversity of ideas and opinions. This means that students must take turns speaking, listen to others speak without interruption, and refrain from name-calling or other personal attacks.

Statement on Student Discipline

Classroom behavior should support and enhance learning. Behavior that disrupts the learning process will be dealt with appropriately, which may include having the student leave class for the rest of that day. In serious cases, disruptive behavior may lead to a student being withdrawn from the class. ACC's policy on student discipline can be found in the Student Handbook under Policies and Procedures or on the web at:

Course Objectives

The following objectives are listed in a sequence ranging from the simple to the more complex. As such, this document should not be viewed as a chronological guide to the course, although some elements naturally will precede others. These elements should be viewed as mastery goals which will be reinforced whenever possible throughout the course.

MATH 2413 Calculus I - Objectives

1. Find limits of functions (graphically, numerically and algebraically)

2. Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions.

3. Determine derivatives by a variety of techniques including explicit differentiation, implicit differentiation, and logarithmic differentiation. Use these derivative to study the characteristics of curves. Determine derivatives using implicit differentiation and use to study characteristics of a curve.

4. Construct detailed graphs of nontrivial functions using derivatives and limits.

5. Use basic techniques of integration to find particular or general antiderivatives.

6. Demonstrate the connection between area and the definite integral..

7. Apply the Fundamental theorem of calculus to evaluate definite integrals.

8. Use differentiation and integration to solve real world problems such as rate of change, optimization, and area problems.

Prerequisites for Calculus

There are two calculus sequences at ACC (and at most colleges) -- Business Calculus and Calculus. The prerequisite sequence is different for these. Depending on background, students may start the prerequisite sequence at different places

|Intermediate Algebra (MATD 0390) |Intermediate Algebra (MATD 0390) |

|ι | |ι |ι |

|College Algebra**(MATH 1314) | |Math for Bus & Eco |College Algebra |

|ι | |(MATH 1324) |(MATH 1314) |

|*Trigonometry (MATH 1316) | |ι ι |

|ι |Business Calculus I (MATH 1425) |

|Precalculus (MATH 2412) |ι |

|ι |Business Calculus II (MATH 1426) |

|Calculus I (MATH 2413) | |

|ι | |

|Calculus II (MATH 2414) | |

|ι | |

|Calculus III (MATH 2415) | |

Where to start: The only way that students may skip courses in a sequence is to begin higher in the sequence, based on current knowledge of material from high school courses.

1. A student who needs a review of high school Algebra II will start in Intermediate Algebra (or below.)

2. A student who completed high school Algebra II, but no higher, and whose assessment test score indicates that he/she remembers that algebra, will start in College Algebra or Math for Business & Economics. A substantially higher assessment test score enables the student to start in Trigonometry.

3. A student who completed some precalculus, elementary analysis, or trigonometry in high school, and whose assessment test score indicates that he/she remembers algebra, is eligible to start higher in the sequence than College Algebra. Check the catalog or the math web page.***

Notes about the Business sequence: Texas State University requires Math for Business and Economics and Business Calculus I. Students who will attend the UT College of Business must complete the entire Business Calculus sequence before transferring. For more information, including requirements for UT economics students, see

* The material in the Trigonometry course requires that students are quite adept with the skills from high school Algebra II (Intermediate Algebra). Some students will achieve that level of skill in the College Algebra course if their placement score is high enough, while others need an additional semester of work on algebra that is done in two courses, Intermediate Algebra and College Algebra.

** Some students who are very successful in College Algebra are tempted to skip either Trigonometry or Precalculus and enroll in Calculus I. That is not acceptable. Trigonometry topics are essential to success in Calculus, and while it is true that the topic list for Precalculus has only a few additions from the topic list for College Algebra, the level of sophistication of the presentation and the problems on all topics is greater in Precalculus. That increased sophistication is necessary for an adequate background for the Calculus sequence. ***

*** For additional information, including prerequisite review sheets for most courses, see

STUDENT GUIDE FOR USE OF ACC TESTING CENTERS

Austin Community College is pleased to provide testing services to ACC faculty and students. In order to ensure test integrity and adequate space for testing, ACC has established the following guidelines:

A. I.D. REQUIREMENT. Students are required to show an ACC photo ID in order to test.

B. WRITTEN PERMISSION FROM INSTRUCTOR

1. Some tests also require written permission from your instructor in addition to your photo ID and student ID.

2. If the test deadline has passed, you must bring written permission from the instructor.

C. STUDENT TEST REQUEST FORM

1. Students are required to complete the Student Test Request Form which contains the following student information:

a. Synonym Number & Section Number

b. Course Abbreviation & Course Number

c. Test Number

d. Instructor’s Name

D. RETESTING

1. The yellow student copy of the Test Request Form is required for retesting.

2. Retests may not be available in all courses.

3. Students may not retest more than once on the same exam version.

E. TESTING MATERIALS. Students should bring only the materials that an instructor has allowed for a given test.

1. The Testing Centers provide the following approved items:

a. English dictionaries (non-electronic)

b. Scantron answer sheet

c. All types of paper

2. If authorized by instructor, Foreign Language Dictionaries, must be provided by the student and must be word to word only and non-electronic.

3. Having unauthorized materials (food, drinks and tobacco items, cell phones, pagers, and other electronic devices, etc.) with you while testing is considered scholastic dishonesty and may subject you to disciplinary action. Unauthorized items must be stored elsewhere, in a locker, or shelved in the Testing Center at your own risk.

F. LOCKERS

1. You are responsible for the return of your locker key to Testing Center staff.

2. Your property will not be surrendered in the case of a lost key until a report is filed with Campus Police.

3. The incident will be reported to Admissions Director and a hold will be placed on your record until the key is returned or replaced.

G. CHILDREN ARE NOT ALLOWED IN TESTING CENTERS AND ARE NOT TO BE LEFT UNATTENDED ON ANY ACC CAMPUS.

H. SEATING POLICY

1. The Testing Center may assign seating.

2. When the Testing Center is full, you may be asked to sign a waiting list, take a ticket or line up outside the Center.

3. Students are required to wait again in line, if one exists, if they desire to take more than one test at a time.

I. BREAKS DURING TESTING

1. Students may not leave the Testing Center for breaks, to drink water, or go to the restroom.

2. Only with a medical statement from a doctor may a student be allowed to leave the Testing Center for a break during the test.

J. SCORING OF TESTS

1. If an answer key is available, the test will be graded and you will be given your raw score. Keep the yellow copy of the Student Test Request Form for the remainder of the semester to ensure that grades have been posted. This is proof you took the exam.

2. Once the test has been scored, it cannot be reviewed or examined again in the Testing Center. Contact your instructor for feedback information on the test items.

K. GRADES OF INCOMPLETE

Testing for grades of Incomplete require an Incomplete Grade Form or verification from Admissions and Records and signature of instructor.

L. HOURS OF OPERATION

1. Hours of operation for all the Testing Centers are located on the web at .

2. Hours for testing vary from Center to Center and are subject to change without notice due to emergencies or unforeseen circumstances.

3. Students will not be admitted and new test materials will not be distributed after the stated closing time.

4. All test materials are collected from students thirty (30) minutes after closing time.

M. SCHOLASTIC DISHONESTY

1. The testing area is monitored as students are taking tests. Any student suspected of/or caught cheating (including using unauthorized materials during testing) will be referred to the appropriate administrator.

2. Disciplinary actions for scholastic dishonesty range from exclusion from Testing Centers to expulsion from ACC. Refer to the ACC Student Handbook for ACC’s disciplinary policies and procedures.

3. Any information included on your test is not to be taken from the Testing Center or shared with others.

N. STUDENT CONDUCT

1. You may be removed from the Testing Center for behavior that significantly interferes with or disrupts Testing Center operations. In accordance with College procedure, the Campus Dean of Students will have primary authority and responsibility for the administration of student discipline.

2. Discipline may also be administered for other prohibited acts that constitute offenses, as outlined in the ACC Student Handbook.

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Office Hours: Room 333

MWF 8:20 – 8:50AM and 11:30 – Noon

T/Th Noon – 1:00PM

{Other times available by appointment}

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