Calculus I—Fall 2009
Course Abbreviation MATH 2413 Synonym # 42123 Section # 011
MWF Noon – 1:10 PM
ACC Rio Grande Campus Room 337
Instructor: Anne Praderas
Office Phone: 223-3356
E-mail: [email protected]
Webpage: www.austincc.edu/apradera
Office Hours: Room 333
MWF 9:30 – 10:30 AM
T/Th 12:20 – 1:20 PM
{Other times available by appointment}
REQUIRED TEXT: Calculus: Concepts and Contexts,4th Edition., by James Stewart, Brooks/Cole 2010
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.
OPTIONAL SUPPORT MATERIALS: Student Solutions Manual, Single Variable by Jeffrey A. Cole, Study Guide
by Dan Clegg. Many other resources and ancillaries are listed in the text’s Preface.
PREREQUISITE REQUIREMENTS: MATH 1316 (Trigonometry) and MATH 2412(Precalculus) 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.
I may ask you to provide transcripts or other proof that you meet these requirements, and you may be withdrawn from
the course if you do not. 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. If you don’t have time for that, switch to a different course where you can receive the instruction and support
that you need. 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 reallive 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 www.austincc.edu/tutor for other campus locations. Rio Grande Campus Learning Lab (Room 212; phone#223-3367): MTh 8AM-9PM, Fri 9AM-1PM.
Come to Office Hours. After you have tried an assignment on your own 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/text 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.
WITHDRAWAL POLICY: I may choose to (but do not promise to) withdraw students with four or more absences
from class. You are responsible for submitting appropriate paperwork by the published deadlines if you choose to
withdraw from the class. The deadline for withdrawing from the course this semester is Nov. 23, 2009.
EXPECTED CONDUCT FOR EVERYONE:
Work hard.
Be respectful.
Show-up every day, on time.
WHAT TO DO IF YOU ARE ABSENT:
Do the next homework assignment(s)—see HW Assignment List, also available on my webpage.
CONTACT ME IMMEDIATELY if you will miss more than 1 day, or if you missed a test or presentation.
Be prepared for a possible quiz when you return.
Read the information below to see what the make-up policy is for any graded assignments you missed.
Grade Distribution: In-class Work 5%; Quizzes 15%; Tests 60%; Final Exam 20%
A NOTE ABOUT HOMEWORK: You are expected to complete a set of practice exercises for each text section we
cover. I will assign homework every day (except test days) and you should complete it before the next class. Even
though I am not checking your homework, it is important to complete each assignment in order to be prepared for
quizzes, tests, and class discussions.
IN-CLASS WORK: There are two types of in-class assignments:
1. Each student is required to present one homework solution to the class (possibly twice, depending on the
number of students). Every day at the beginning of class one student will take 3-4 minutes to explain his/her
solution to one homework exercise, to be decided upon in advance. I will loan you transparencies and markers
so you can write-up the solution in advance of your presentation. 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 your presentation regardless of absences. 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. Presentations done
late will lose 20 points. Grades will be assigned as follows…
 100 for copying the problem, 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 partially explaining it correctly, but the answer is incorrect or
insufficiently explained
 0 for not doing the presentation or for being obviously clueless.
2. I will occasionally (with or without prior announcement) ask students to complete a short assignment during
class. [One exception: the prerequisite review sheet will be done outside of class.] These assignments may be
done individually or in small groups; notes and/or calculators may or may not be allowed. I will announce the
particular “rules” at the time of the assignment. If you miss an in-class assignment, you may make it up as long
as you contact me to make timely, convenient arrangements. Only one in-class assignment may be made up.
All make-up in-class assignments lose 20 points, regardless of circumstance, so it is to your advantage NOT TO
MISS CLASS! If you miss more than one, it’s a zero. If you do not miss any, I will drop your lowest in-class
assignment score.
QUIZZES: There are two types of quizzes:
HOMEWORK QUIZZES: Approximately once a week (except test and holiday weeks) we will have a short
(approx 20 minute) quiz which will assess your understanding of recent homework assignments. The dates and
content sections of each quiz will be announced in class. These quizzes are open-note and open-homework, but
closed book. If you miss a homework quiz, it’s a zero. There are no make-ups. I will drop 1 homework
quiz grade.
UNIT QUIZZES: There will be a closed-note/closed-book in-class quiz for Chapter 1 and Chapter 5. These
quizzes will take longer than a homework quiz (you’ll have an entire class period—see assignment list), and
each grade counts double (twice a homework quiz grade). Unit quiz grades may not be dropped. If you miss a
unit quiz, you must contact me as soon as possible to make arrangements for a replacement quiz outside of class
time. Otherwise your grade will be zero.
TESTS: There will be 3 chapter tests (closed-note, closed-book) given during the semester. Test dates are listed on the
assignment list, but are subject to change. Changes will be announced in class. DO NOT MISS ANY TESTS! A
MISSED TEST COUNTS AS A ZERO. If you have an extraordinary circumstance which forces you to be absent on
test day, 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. Test questions will primarily come from the most recent chapter 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 or TI-89s) are
allowed on all tests, unless announced otherwise in advance.
NO CELL PHONE CALCULATORS, TEXT
MESSAGING, OR CALCUALTOR SHARING DURING TESTS. It is possible that a test may be given in the RGC
Testing Center (will be announced in class); if so, read the testing center policies (last page of this packet) before going.
FINAL EXAM: A cumulative final exam (with more emphasis on Chapter 5, since we didn’t test over that chapter)
will be given on the last day of class. 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. Exam date: Friday, December 11th.
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 Statements from the Math Department
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:
http://www.austincc.edu/handbook
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: http://www.austincc.edu/handbook
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.
STUDENT GUIDE FOR USE OF ACC TESTING CENTERS
( Rio Grande Testing Center Room 127; phone#223-3164)
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 http://www.austincc.edu/testctr.
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.
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)

College Algebra**(MATH 1314)

*Trigonometry (MATH 1316)

Precalculus (MATH 2412)

Calculus I (MATH 2413)

Calculus II (MATH 2414)

Calculus III (MATH 2415)
Intermediate Algebra (MATD 0390)


Math for Bus &
College
Eco
Algebra
(MATH 1324)
(MATH 1314)

Business Calculus I (MATH 1425)

Business Calculus II (MATH 1426)
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 http://www.austincc.edu/mthdept2/notes/1425.html
* 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, please see
http://www.austincc.edu/math/
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)

College Algebra**(MATH 1314)

*Trigonometry (MATH 1316)

Precalculus (MATH 2412)

Calculus I (MATH 2413)

Calculus II (MATH 2414)

Calculus III (MATH 2415)
Intermediate Algebra (MATD 0390)


Math for Bus &
College
Eco
Algebra
(MATH 1324)
(MATH 1314)

Business Calculus I (MATH 1425)

Business Calculus II (MATH 1426)
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.
4. A student who needs a review of high school Algebra II will start in Intermediate Algebra (or below.)
5. 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.
6. 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 http://www.austincc.edu/mthdept2/notes/1425.html
* 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, please see
http://www.austincc.edu/math/