**Clarendon College**

Clarendon, Texas

Spring 2010

Math 2413-101 and 2413L-101

Calculus I

**Instructor:** Linda Rowland **Office**: 109

Box
968
**Phone:**** **806-874-4824

Clarendon, TX
79226 **e-mail**: linda.rowland@clarendoncollege.edu

**Classroom
Location: **Clarendon
College Room
#101 **Time:**
Dual Credit

**Office Hours: M 12:00 to 12:30
T 8:00-9:30, 11:00 to 1:00 and 2:20 to 5:00pm
R 11:00 to
1:00 **

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Course Description**:** Limits and continuity of functions, techniques of
differentiation, applications of the derivative and
anti-differentiation.

Lecture Hours: 3

Laboratory Hours: 1

Semester Hours: 4

__Statement
of Purpose:
__

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__Required
Instructional Materials:__

**Textbook:** Finney, Weir, Hass,
Giordano. __Thomas’ Calculus__, 11^{th} edition. Addison Wesley,
2005.

** **

**Supplies****: **Textbook, paper,
graph paper, pencil, __graphing__**
scientific calculator, **and/or MathXL/MyMathLab
(optional)

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__Methods
of Instruction:__

1. Answer questions and review previous assigned work.

2. Explanation of the concept and skills under consideration

3. Provide examples on the board with step by step explanation of the operations and principles being applied.

4. Comment when appropriate on the history, importance, and application of specific concepts.

5. Overheads and power point when appropriate.

At the end of the course the student should be able to:

1.
Apply
the basic principles of Analytic Geometry.

2. Define and apply limits and continuity of functions.

3. Take and define the derivative of algebraic and trigonometric functions.

4. Sketch the curve and its derivative and the line of tangency at a point.

5. Apply the derivative to certain application problems including differentials.

6. Solve and define integrals both definite and indefinite.

** Exemplary
Objectives**:

1. To apply arithmetic, algebraic, geometric, higher-order thinking, and statistical methods to modeling and solving real-world situations.

2. To represent and evaluate basic mathematical information verbally, numerically, graphically, and symbolically.

3. To expand mathematical reasoning skills and formal logic to develop convincing mathematical arguments.

4. To use appropriate technology to enhance mathematical thinking and understanding and to solve mathematical problems and determine the reasonableness of the results.

5. To interpret mathematical models such as formulas, graphs, tables and schematics, and draw inferences from them.

6. To recognize the limitations of mathematical and statistical models.

7. To develop the view that mathematics is an evolving discipline, interrelated with human culture, and understand its connections to other disciplines.

Daily
work: 15% Homework is on MyMathLab/Math XL or out of
the textbook. All assignments completed
out of the book must have all work shown mathematically or verbally in order to
receive credit. (“Answer is in the back of

the book” is an unacceptable explanation)

Lab 10% Lab will be held in classroom 101 unless posted to go to room 203

Quizzes: 15% Quizzes will be on the Math XL/MyMathLab or given on Tuesdays as listed in the syllabus below. There are no makeup’s on quizzes.

Tests:
30% Chapter
tests are on the MathXL/MyMathLab or given on the
Tuesday listed in the syllabus below.
There is no makeup’s on Test. If necessary make arrangements to take test early –**no tests given after due
date.**

**Final: 30 % No early finals given unless proper
paperwork has been signed by the Dean of Instruction.**

**IMPORTANT: NO GRADES WILL BE ACCEPTED BEFORE THE CLASS
CONTRACT IS SIGNED. IF GRADES HAVE BEEN
TAKEN BEFORE CLASS CONTRACT HAS BEEN SIGNED THEY WILL BE RECORDED AS ZEROS.**

A simple average of the above will be used to determine the letter grade for the course based on the following:

90 – 100% A

80 – 89% B

70 – 79% C

60 – 69% D

Below a 60 F

A student’s final grade will be made available through Campus Connect at Clarendon College’s website.

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__Student
Academic Integrity:__

Failure to comply with lawful direction of a classroom instructor is a disruption for all students enrolled in the class. Cheating violations include, but are not limited to: (1) obtaining an examination , classroom activity, or laboratory exercise by stealing or collusion; (2) discovering the content of an examination , classroom activity, laboratory exercise, or homework assignment before it is given; (3) using an unauthorized source of information during an examination , classroom activity, laboratory exercise, or homework assignment ; (4) entering an office or building to obtain unfair advantage; (5) taking an examination for another person; (6) completing a classroom activity, laboratory exercise, homework assignment, or research paper for another person; (7) altering grade records; (8) using any unauthorized form of electronic communication device during an examination, classroom activity, or laboratory exercise; (9) Plagiarism. Plagiarism is the using, stating, offering, or reporting as one’s own, an idea, expression, or production of another person without proper credit.

Disciplinary actions for cheating in a course are at the discretion of the individual instructor. The instructor of that course will file a report with the Dean of Students when a student is caught cheating in the course, whether it be a workforce or academic course. The report shall include the course, instructor, student’s name, and the type of cheating involved.

Students who are reported as cheating to the Dean of Students more than once shall be disciplined by the Dean. The Dean will notify all involved parties within fourteen days of any action taken.

__Classroom
Conduct:__

I will show you the respect you deserve as a student. I, in return, expect respectful behavior from you.

**Disrespectful
behavior includes…**

**Arriving late.****Leaving the room during class time.**Plan restroom visits before or after class—not during class. If special needs exist, please make prior arrangements.**Using electronic communication devices.**This includes cell phones, pagers, etc. These are not allowed during class time. If special needs exist, please make prior arrangements.**Sleeping in class.****Talking in class.**Class time is not the time to visit with your fellow classmates. If you do, I will ask you to leave the classroom.**Using headphones.**If you do, I will ask you to leave the classroom.**Use of profane or inappropriate gestures and/or language.**- Use
of any tobacco product and spitting of sunflower seeds
- Improper
dress such as showing too much skin or vulgar t-shirts.

** Class
Policies**:

**Absences**: Please take class attendance seriously for it is mandatory. You are here to learn all you can learn, to build a body of knowledge to help you in your career and/or to give you satisfaction in the future. Students who are motivated come to class.*You are responsible for the material covered in class (lecture or lab) even if you are absent.*__One point will be taken off of final grade for each absent unexcused after the second absence.__**Excused absences:**Make-ups for tests will be allowed*only*if absences are excused. Excused absences can result from…- illness
on the part of the student (must have note from doctor or Dean of
Students)
- severe
illness or death in your
*immediate*(not extended) family (Dean of Students must be notified) - college
sanctioned extracurricular events
- unfavorable
weather conditions that prevent students from reaching the college

If you are going to be absent,
you should telephone or e-mail me *in advance* of the absence (leave a
message if necessary). Even in emergencies, it usually is possible for
you to get word to me about an absence. When you return, you must furnish proof
of the reason for your absence if you wish for it to be excused. Proof is a
doctor’s note or an e-mail from the Dean or your coach explaining your absence.

**Make-up work**Students who have excused absences MUST let me know__: Late or unexcused work will not be accepted.__the test is given that we need to schedule a make-up. In most cases, the tests must be taken PRIOR to the absence in order to receive full credit. **If you take the test after it has been given to the class (due date), you will receive a 5 point drop penalty per school day that passes until you take the make-up.** To avoid the penalty, MAKE SURE YOU TAKE A MAKE-UP TEST BEFORE YOU LEAVE.*before***Scholastic Honesty**: I adhere to a strict policy regarding academic honesty. Anyone who is dishonest in any way will receive a zero on that assignment or exam with no opportunity to make up the zero and may be dropped from the course with a grade of F. Note that dishonest behavior includes both the act of copying someone else’s work as well as allowing someone to copy your work. Both students are equally guilty and will be equally punished.**Electronic Communication Devices**:**Please**turn them off before you enter class. Many people now have cell phones, pagers, etc. When these gizmos sound off in class, they distract everyone—you, I, and other students— and we all have to wait until someone turns off the device before class starts up again. It’s not fair for anyone to distract and waste the time of a whole class this way. Consequently, each time an electronic device sounds off in class, one point will be subtracted from the owner’s**final course average**. (That means, 5 times = one half a letter grade in the course.) Medical devices, such as insulin pumps, that have alarms are excused from this policy, but please inform me so that points won’t be deducted erroneously.

** American with Disabilities Act Statement:**
Clarendon
College provides reasonable accommodations for persons with temporary or
permanent disabilities. Should you require special accommodations, it is your
responsibility to notify the Office of Student Services (806-874-3571 or
800-687-9737). We will then work with you to make whatever accommodations
we need to make.

__Dropping
a Course:__

A
student who is enrolled in a developmental course for TSI purposes may not drop
his/her only developmental course unless the student completely withdraws from
the college. A student may drop any other course with a grade of “W” any time
after the census date for the semester and on or before the end of the 12^{th}
week of a long semester, or on or before the last day to drop a class of a term
as designated in the college calendar. The request for permission to drop a
course is initiated by the student by procuring a drop form from the Office of
Student Services. (Refer to other policies concerning this issue in the current
college catalog online.)** ** Remember, a student is only allowed to drop
the same class twice before he/she will be charged triple the tuition amount
for taking the class a third time or more.

Important
dates: Last Day to Add/Drop Thursday, January 21^{st}

Spring Break March
15^{th} – 20^{th}

Good
Friday Friday, April
2^{nd}

Last Day to drop with a W Friday,
April 9^{th}

Final Exams
May 1^{st}
thru 6^{th} (this
will vary for High School Dual Credit)

__Withdrawal
from College:__

**Withdrawal**: If you decide that you are unable to
complete this course or that it will be impossible to complete the course with a
passing grade, you may drop the course and receive a “W” on your transcript
instead. Withdrawal from a course is a formal procedure that you must
initiate. If you do not go through the formal withdrawal procedure, you
will receive a grade of an”F" on your transcript. A student
is permitted to drop a course if he/she obtains an official drop slip from the
office and has the instructor sign the slip before the 12^{th} class
week.

**Remember, a student is only allowed to drop the same class twice
before he/she will be charged triple the tuition amount for taking the class a
third time or more. Furthermore, beginning with the Fall
2007 semester, students in Texas may only drop a total of 6 courses throughout
their entire undergraduate career. After the 6, he/she will no longer be
able to withdraw from any classes.**

** Course
Schedule/Outline: **All homework assignments and chapter test are on your “MathXL/MyMathLab”.

*Students
must sign class contract specifying source of assignments, MyMathLab or
textbook, before any grades will be accepted. *

*Chapter
1:* Preliminaries

1.1
Real
Numbers and the Real line: Problems 1,
7, 15, 21, 23, 31, 35 due on January 15th at class time.

1.2
Lines,
Circles, and Parabolas: Problems 9,19,23,27,31,43,49,57,83 due on January 18 at class time.

1.3
Functions
and their graphs: Problems 1, 3, 5, 7.
17. 23. 25. 27. 33. 37. 39, 40 due on January 20^{th} at class time.

Quiz; On Math XL or Tuesday January
26th

1.4
Identifying
Functions: Mathematical Models: Problems 1, 3, 7, 9, 13, 19, 23, 33 due January 22nd
at class time.

1.5
Combining
Functions: Shifting and Scaling
Graphs: problems 1,5,11,15,19,
27, 29, 39, 43, 51, 55, 63, 65, 71, 73 due January 25th at class time.

1.6
Trigonometric
Functions: problems 1,7,9,11,13,15,17,19,21,39, 41,43, 47 due January 27 at
class time.

1.7
Graphing
with calculators: problems 3,9,11,17,25,41 due January 29th at class time.

Chapter Test is on the
Math XL and will be given for those working out of the book on February 2nd

Chapter 2: Limits and Continuity

2.1
Rates of Change and Limits: Problems
1, 3, 11, 17, 21, 23, 25, 27, 29, 31, 33, 37 due February 1st.

Quiz: Is posted on Math XL or take on February 2nd

2.2 Calculating Limits
using the Limit Laws: Problems 3, 7, 13,
17, 23, 29, 35, 43, 49 due February 3rd^{}

2.3 The precise Definition
of a Limit: Problems 1, 7, 11, 15, 17,
19, 21, 23, 25, 31, 33, 55, 57 due on February 5th^{}

2.4 One-sided limits and
Limits at Infinity: Problems 1,7, 13, 17, 23, 27, 31, 37, 41, 45, 49, 53, 61 due February
8th

Quiz: is posted on math XL or take in the classroom
on February 9th

2.5 Infinite Limits and
Vertical Asymptotes: Problems 3, 7, 15,19, 23, 27, 33, 37 due on February 10th

2.6 Continuity:
Problems 3,5,7,9,11,13,15,17,19,21,25,27,29,35,39 due on February 12th

2.7 Tangents and
Derivatives: Problems
5,7,9,11,13,15,17,19, 23, 25, 27, 29, 35, 41 due on February 15

Chapter 2 test is on
the Math XL and will be given to those working out of the book on February 23rd

*Chapter 3: Derivatives*

3.1 The derivative as a function:
Problems 1,3,5,7,8,11,13, 15,17,19,25,27,29,33,41 due February 17th

* 3.2
Differential Rules: Problems 3,7,11,15,21,25,31,37,41,47 due February 19th ^{h} at
class time.*

*
3.3 The Derivative as a Rate of Change:
Problems 1,3,5,6,9,10,13,15,19,23,25,28 due February 22nd
.*

* Quiz: is posted on Math XL or can be taken in
classroom 101 on February 23rd*

* 3.4
Derivatives of Trigonometric Functions:
Problems 3,5,7,11,13,17,23,25,37,39,43,45,49
due February 24th *

* 3.5 The
Chain Rule and Parametric Equations Problems
1,5,11,17,21,25,31,35,39,45,53,61,89,113 due March 1st*

*
Quiz: is posted on Math XL or can
be taken in the classroom 101 on March 2nd*

*
3.6 Implicit Differentiation:
Problems 3,9,13,15,19,25,27,33,39,43,45,49,41,55,59 due March 3rd *

*
3.7 Related Rates: Problems
1,5,7,10,13,15,17,23,27,29,31,35 due March 8th*

* Quiz: is posted on Math XL or can be taken in
the classroom 101 on March 9th ^{}*

*
3.8 Linearization and
Differentials: Problems 1,3 9, 13,17,19,25,27,31,35,45,47,49,55 due March 10th*

*
Chapter 3 test is on the Math XL
and will be given to those working out of the book on March 23rd.*

*Chapter 4: Application
of Derivatives *

4.1 Extreme Values of Functions:
Problems 1,7,15,19,25,29,35,43,47,55,61,27 due March 12th

Quiz: is posted on Math XL or can be taken March
23

4.2 Mean Value Theorem; problems
1,3,4,25,27,31,33,37,39,41,43 due March 22nd

4.3
Monotonic Functions and the 1^{st} derivative: Problems 1,3,5,7,9,11,13,15,17,21,23,29,33,35
due on March 24th

4.4
Concavity and Curve Sketching:
problems 1,5,7,9,11,17,23,27,29,35,41,45,51,55 due on March 26th

Quiz: is posted on Math XL or can be taken
Tuesday, March 30th

4.5 Applied Optimizations: problems 1, 7, 9,
12, 19, 23, 27, 33, 37, 43 due on March 29th

4.6 Indeterminate Forms and L’Hopital’s Rule: problems 1, 5, 7, 9, 11, 15, 19, 23 due March
31st

4.7
Newton’s Law: problems 1,2 3, 5 due April 5th

4.8 Antiderivatives:
problems 1,11,17,23,311,35,39,43,49,67,73,79,83,97 due on April 7th

Chapter 4 Test is on the Math XL and will be
given to those working out of the book on April 13th

Chapter 5: Integration

5.1 Estimating with
Finite Sums: problems 1,5,7,9,11,13,14,15,17,19 due on April 9th

5.2 Sigma Notation and
Limits of Finite Sums: problems 1,3,5,11,15,17,21,25,31,35,37 due on April 12

5.3 The Definite Integral: problems 7,15,21,23,31,35,41,45,51,55,59 due
on April 14th

Quiz is posted on Math
XL or can be taken Tuesday, April 20th

5.4 The Fundamental
Theorem of Calculus: problems
1,7,11,15,19,23,39,33,39,43,57,63 due on April 16th

5.5 Indefinite Integrals
and the Substitution Rule: problems 5,11,15,19,23,27,33,43,47,59 due on April
19^{th}

5.6 Substitution and Area between Curves: problems 3,9,15,21,29,35,41,45,53,63,73 due
on April 21^{st}

Chapter 5 Test is on the
Math XL and will be given to those working out of the book on April 27th

Final Exam will be given
during the week of May 3^{rd} through 7th. This will be posted by the Dean of
Instruction. If you need to take the
Exam early then you must fill out the appropriate paper work and have it signed
by the Dean.

**Course
outline and dates are subject to change at discretion of Instructor.**

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