Instructor:
Joey Benitez
Phone:
425-202-5498 – Google Voice
Office Hours:
4:30 pm – 5:30 pm, MW, 11:00 am - Noon, TTh or by appointment
Email:
jbenitez@cascadia.edu
(I will respond to email messages within 24 hours during the week)
Course Website:
www.joeybenitez.weebly.com
Location/Time:
CC1-202 MW 3:30 - 5:35 pm,
425-352-8472 – Office CC2 - 361
Course Description: This 5-credit course is the first quarter of the three-quarter calculus
sequence that provides an interdisciplinary introduction to the core concepts of differential
calculus with a primary focus on applications from the disciplines of math, computer science
and the physical sciences. Content includes both applications and theory of differential
calculus leading to an introduction to The Fundamental Theorem of Calculus. Learners will
continue to refine independent study skills, cooperative problem solving, logically correct
and mathematically precise writing and thinking, and their ability to use geometric, symbolic
and analytic formats in presenting solutions to both abstract and real world applications.
Classroom activities will include lecture/discussion and group work. Students will
communicate their results in oral and written form. Graphing calculator required.
Required Materials: A graphing calculator is required. A TI-83/83+ or TI-84/84+ is strongly
recommended. A graphing calculator may be rented for $25 per
quarter from the Open Learning Center (room CC2-060)
Textbook:
Calculus, 7th Edition by James Stewart, Brooks/Cole CenGAGE
Learning, 2012. ISBN-10: 1-133-06765-4 ISBN-13 978-1-133-06765-8
Additional textbook: Contemporary Calculus I: Concepts, Applications,
Techniques by Dale Hoffman. Available at
http://scidiv.bellevuecollege.edu/dh/Calculus_all/Calculus_all.html
Prequisite:
Completion of MATH&142 with a grade of 2.0 or higher or placement
into MATH&151; and completion of ENGL 90 with a grade of 2.0 or higher or
placement by testing into ENGL 100.
Math 151 Calculus I Section 04
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Course Content, Topics, and Themes:
Quantitative Reasoning:
 Students will review pre-calculus mathematics from an analytic point of view
emphasizing function notation, graphs of the reference functions and transformations,
inverses and compositions of these functions.
 Students will identify limits of functions that are defined symbolically, graphically, and
numerically when defined tables of values.
 Students will deal with one-sided and two-sided continuity for functions defined
graphically and symbolically.
 Students will learn the formal definition of the first derivative and find algebraic
derivative using both this definition and the traditional shortcut formulas associated
with derivatives.
 Students will learn to learn and apply the relationships between functional behavior
and first and second derivative behaviors.
 See the formal definition of limit and utilize informal to obtain the formal definition of
the derivatives of the reference functions with an intuitive application of limits.
 Develop proficiency with finding and interpreting geometrically the first and second
derivatives of the reference functions. Make the connection between the formula for
slope of a line, the tangent to a curve and the derivative of a function.
 Find derivatives of implicit functions and interpret the results geometrically
 Interpret the derivative as an instantaneous rate of change in applications.
 Define and apply the differential of a function
 Estimate solutions to problems, check for accuracy, tolerance and interpret questions
and solutions geometrically

Applications Issues:
 Refine teamwork and collaborative learning skills in problem-solving situations
 Express and approach problem solving using and integrating various threads of
mathematics
 Integrate mathematical thinking in viewing, analyzing and solving quantitative issues
in a variety of contexts
 Apply derivatives to model real-life situations, including optimization and related-rate
problems. Use and interpret a wide variety of complex, often ill-defined, real-life
applications
 Integrate technology into both expression and information gathering (graphing
calculator and/or computer modeling, the Internet, mathematical software,
spreadsheets, etc)
Course Outcomes:
Learn Actively - Learning is a personal, interactive process that results in greater expertise and
a more comprehensive understanding of the world.
 Apply and create experiments and projects which integrate the use of calculus in
problem solving
 Take responsibility for accessing and using a variety of sources for assistance in
learning about calculus, including its history
 Apply problem solving and mathematical modeling to real situations
Math 151 Calculus I Section 04
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


Integrate technology into problem solving
Participate in interdisciplinary groups to solve real problems
Choose most effective operations and methods to solve problems
Think Critically, Creatively and Reflectively -- Reason and imagination are fundamental to
problem solving and critical examination of ideas.
 Use deductive and inductive reasoning in applying calculus to real-life situations
 Analyze, compare and contrast processes and procedures -- the "rules" of
 calculus
 Contrast and critique various approaches to problem solving and modeling
 Follow, evaluate and write solutions to mathematical problems, mathematical
 arguments and proofs
Communicate with Clarity and Originality - The ability to exchange ideas and information is
essential to personal growth, productive work, and societal vitality.
 Listen, speak, read and write mathematical presentations that use mathematical
vocabulary, notation, and graphical expression
 Express concepts in both standard and innovative forms
 Explain how answers were created -- stating assumptions made and conclusions
supported by the analysis
 Formulate and criticize mathematical conjectures and conclusions
Interact in Diverse and Complex Environments - Successful negotiation through our
increasingly complex, interdependent and global society requires knowledge and
awareness of self and others, as well as enhanced interaction skills.
 Demonstrate effective use of group proc
 Respect individual ways of arriving at answers, expressing results and processing
Information
 Refine processes of estimation and problem solving solution in variety of real-life
Situations
 Translate notational differences between cultures
 Recognize the biases/limitations of mathematical thinking and models
 Integrate the history of calculus into the history of the world
Class Expectations:
I expect you to be responsible. This means…
 Come to class on time and be prepared every day. Bring a pencil and paper to take notes.
 Participate in the lectures, answer my questions, ask your own questions, work on homework
assignments, etc...
 Show respect to others while they are addressing the class.
 No cell phones or any other electronic devices allowed during class and may result in
point deductions on worksheets if used during class.
 Come see me during my office hours if you have questions.
 If for some reason you cannot make it to class, find out what information you missed in your
absence by talking to your classmates or to me.
 If for some very important reason you cannot make it to class on a day that we are having an
exam, let me know as soon as possible.
 Be on time for quizzes and exams. Being late for a quiz or exam may result in a zero grade.
Math 151 Calculus I Section 04
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Assessments:
Your grade will be based on your exams, quizzes, class worksheets and final exam.
8 Class Worksheets
3 Quizzes
3 Exams
1 Final Exam
80 points
100 points
201 points
120 points
(16%)
(20%)
(40%)
(24%)
Grading:
Decimal
Grade
Course
%
4.0
3.9
3.8
3.7
3.6
3.5
3.4
3.3
3.2
3.1
3.0
2.9
96%
94-95%
93%
92%
91%
90%
89%
88%
87%
86%
85%
84%
Decim
al
Grade
2.8
2.7
2.6
2.5
2.4
2.3
2.2
2.1
2.0
1.9
1.8
1.7
Course
%
83%
82%
81%
80%
79%
78%
77%
76%
75%
74%
73%
72%
Decimal Course
Grade
%
1.6
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
0.7
0.0
71%
70%
69%
68%
67%
66%
65%
64%
63%
62%
< 62%
Homework:
Homework will be assigned for every section covered in the course. Homework will not be
collected on a regular basis but may be collected as part of a worksheet. Answers to all
homework problems are found in the back of the textbook.
Class Worksheets:
There will be 8 in-class graded worksheets assigned and distributed on various class days
and 2 participation worksheets. You are encouraged and required to discuss it as a group.
You must be in attendance to get credit for an in-class worksheet. WORKSHEETS
CANNOT BE MADE UP FOR ANY REASON but your two lowest scores (non-participation
worksheets) will be dropped.
Quizzes:
There will be 3 announced quizzes covering recent material. The purpose of these quizzes
is to encourage students to keep up with the material and homework. Quizzes provide a
Math 151 Calculus I Section 04
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feedback mechanism in preparation for the exams. QUIZZES cannot be made up for any
reason but your lowest (or missed) quiz score will be dropped. You will be allowed both
sides of a 3” by 5” notecard for notes on all quizzes.
Exams:
Three exams and a final exam will be given according to the course syllabus. NO
MAKEUP EXAMS will be given without a legitimate reason, completion of the homework
assignments covering the test, and good attendance. The final exam is comprehensive.
You will be allowed both sides of a 3” by 5” notecard for notes on all exams.
Cascadia College Syllabus Learning Agreement
Course Backup Plan: In the event of a campus closure, instruction for this class will
continue in the following way:

In the event of a campus closure, please visit the course website at
www.joeybenitez.weebly.com for announcements and instructions.
Pluralism and Diversity: Cascadia believes in pluralism, an intentional culture where
everyone's history contributes to the collective success of our community.
Cascadia is committed to creating a supportive environment for a diverse student, faculty,
and staff population. Individual differences are celebrated in a pluralistic community of
learners.
Cascadia does not discriminate on the basis of race, color, religion, gender and/or sex,
sexual orientation, national origin, citizenship status, age, marital or veteran status, or the
presence of any sensory, mental or physical disability, or genetic information, and is
prohibited from discrimination in such a manner by college policy and state and federal law.
The following office has been designated to handle inquiries regarding non-discrimination
policies and can direct inquiries to the appropriate office for ADA-related requests: Director
of Human Resources, Office CC2-280, 425-352-8880.
Academic Honesty: The College regards acts of academic dishonesty, including such
activities as plagiarism, cheating and/or/violations of integrity in information technology, as
very serious offenses. In the event that cheating, plagiarism or other forms of academic
dishonesty are discovered, each incident will be handled as deemed appropriate. Care will
be taken that students’ rights are not violated and that disciplinary procedures are instituted
only in cases where documentation or other evidence of the offense(s) exists. A description
of all such incidents shall be forwarded to the Student Conduct Officer, where a file of such
occurrences is maintained. The Student Conduct Officer may institute action against a
student according to the college’s disciplinary policies and procedures as described in the
Student Handbook: http://www.cascadia.edu/academic_resources/handbook.aspx
Math 151 Calculus I Section 04
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Student Rights and Responsibilities: Cascadia is a student-centered college, operated to
provide knowledge and skills for the achievement of learners’ academic, professional and
personal goals. Inherent in the college’s mission are certain rights and freedoms needed for
learning and personal development. Admission to Cascadia provides these rights to
students, and also assumes that students accept the responsibility to conduct themselves in
ways that do not interfere with the purposes of the college in providing education for all of its
learners. For the complete policy, see the Student Code of Conduct in the Student
Handbook at http://www.cascadia.edu/academic_resources/handbook.aspx
Learning Assistance Options: To support student success, Cascadia offers a variety of
support services. The Open Learning Center, CC2-060, provides a computer lab where
students can receive assistance with technology to support class assignments. Students are
encouraged to utilize the Math and Writing Center, located in CC2-080. Tutors will work with
students focusing on math concepts and writing assignments. Hours and contact
information for the Math and Writing Center can be found at:
http://www.cascadia.edu/services/tutoring/
Online Tutoring and Writing Assistance: Cascadia provides online access to live tutors
in a variety of subjects, provided by the Western e-Tutoring Consortium. Tutoring is offered
through live, interactive sessions and through an Essay Center. Many subjects have
convenient tutoring hours late into the evening and seven days a week, depending on tutor
availability; schedules are available online. To get started, visit https://www.etutoring.org/
Disability Support Services: Cascadia provides services to help students with disabilities
successfully adapt to college life. Students who meet specific criteria may qualify for
reasonable academic accommodations. If you have or suspect you have a disability and
need an accommodation please contact the front office in Kodiak Corner at 425-352-8860 to
make an appointment with the Disability Support Services. Services and Accommodations
through DSS are not retroactive. It is the student’s responsibility to approach the faculty
member with the accommodation letter as soon as it is issued from DSS.
Counseling services: If you have a personal problem or stress that is affecting you and
would like to talk with someone, please contact UWB’s Mental Health Counseling Center.
Counseling at Cascadia (provided through UWB) is confidential, professional and free (six
sessions). Visit the Counseling Center front desk Monday through Friday, 8:30 a.m. to 5
p.m. or call 425-352-3183 for an appointment. The number for a 24-hour Crisis Line is 206461-3222.
Advising: Students should schedule an appointment to meet with an advisor to consult
about classes and degrees, and to create a tentative education plan. They can call 425352-8860 or come to the Kodiak Corner to make an appointment. Appointments are not
made via email. At the time of the appointment, they need to indicate which degree they are
pursuing. See the Cascadia website http://www.cascadia.edu/advising/academic.aspx for
information about Drop-In Advising hours.
Math 151 Calculus I Section 04
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Online Advising: Email advising is available at advising@cascadia.edu. Our distance
advisor can answer most questions via email, but we don’t schedule advising appointments
via email.
Campus Closures and Inclement Weather: Information about FlashAlert, Cascadia’s
emergency notification system, is available at
http://www.cascadia.edu/discover/about/campus/emergencyprep/alert.aspx. The site
includes instructions for subscribing to alerts.
In the event of inclement weather affecting morning classes, there will be notification on the
local media by 5:30 a.m. You may also call the main campus number: 425-352-8000 to hear
a message that will be updated with the latest Cascadia closure information. You may also
go online to http://www.schoolreport.org/ and click on Cascadia College to get the latest
report. Should the weather deteriorate during the day, you may check online, listen to the
main campus message, check email or the media to hear news about closures or class
schedule changes.
Emergency Procedures: Emergency procedures are posted in each classroom. To reach
campus security personnel, dial 425-352-5222. City of Bothell fire and police may be
reached by dialing either 9-9-1-1 or 9-1-1 from any campus phone. Campus emergency
phones are located on campus walkways and parking lots.
Acceptable Use Policy on Information Technology: In general, the same ethical conduct
that applies to the use of all college resources and facilities applies to the use of Cascadia’s
systems and technology. These systems may only be used for authorized purposes, using
only legal versions of copyrighted software, and with consideration and respect for the
conservations of resources and the rights of other users. For additional information, see the
online version of the Student Handbook at
http://www.cascadia.edu/academic_resources/handbook.aspx or go to the Open Learning
Center for assistance with any questions.
Family Education Rights and Privacy Act (FERPA): Cascadia College complies with the
Family Education Rights and Privacy Act (FERPA) of 1974 concerning the information that
becomes a part of a student’s permanent educational record and governing the condition of
its disclosure. Under FERPA, students are protected against improper disclosure of their
records. See http://www.cascadia.edu/academic_resources/handbook.aspx
Library Information: http://library.uwb.edu/ .
Math 151 Calculus I Section 04
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SYLLABUS
DATE
TOPICS
JAN 5
Section 1.1
JAN 7
Section 1.2
JAN 12
Sections 1.3, 1.4
JAN 14
Section 1.4, 1.5 – Quiz 1 (Sections 1.1-1.2)
JAN 19
NO CLASS
JAN 21
Section 1.6
JAN 26
Sections 2.1, 2.2
JAN 28
Sections 2.3, 2.5, Review
FEB 2
Section 2.6, Exam 1 (Chapter 1), Tuesday, February 2nd
FEB 4
Sections 3.1, 3.2
FEB 9
Section 2.7, 2.8 – Quiz 2 (Take Home – Due 3:30 PM, February 11th)
FEB 11
Sections 3.3
FEB 16
Section 3.4, 3.5, Review
FEB 18
Section 3.6, Exam 2 (Chapter 2), Thursday, February 18th
FEB 23
Section 3.7
FEB 25
Section 3.9
MAR 1
Section 3.10, Quiz 3 (Sections 3.4, 3.5)
MAR 3
Sections 4.1, 4.2, Review
MAR 8
Section 4.3, Exam 3 (Chapter 3.1 – 3.9), Tuesday, March 8th
MAR 10
Section 4.4, 4.7,
MAR 15
Final Exam Review
MAR 17
Comprehensive Final Exam (Chapters 2 - 4)
Thursday, March 17th, 3:30 - 5:35 PM
Math 151 Calculus I Section 04
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