MAT 201 – CALCULUS I
Spring 2016 Course Syllabus
MAT 201 Course Information:
Description
This course introduces single variable calculus and analytic geometry. It includes limits, continuity,
derivatives and applications of derivatives as well as indefinite and definite integrals and some
applications.
Course Competencies
To ensure that the FRCC/Larimer Mathematics Department fulfills the expectations of student learning,
the faculty will advance the development of the following characteristics:
Demonstrate the calculus concepts of limits.
1) Determine the existence of a limit using numeric and analytic methods for algebraic, trigonometric, and
composite functions.
2) Use various limit theorems to evaluate a limit.
3) Determine the continuity of a function.
Demonstrate the techniques of differentiation of algebraic, trigonometric, and composite functions.
1) Using the definition of the derivative.
2) Using various rules including the product, quotient, and chain rules.
3) Using implicit differentiation.
4) Using logarithmic differentiation.
Demonstrate knowledge of applications of the derivative.
1) Find relative and absolute extrema of a curve.
2) Use derivative and limit information to sketch a curve.
3) Solve application problems for finding extrema.
4) Approximate error using differentials.
5) Solve related rate problems.
Demonstrate knowledge of integration.
1) Find indefinite integrals using basic rules and substitution.
2) Find the particular solution of a simple first order differential equation.
3) Use the Fundamental Theorem of Calculus.
4) Approximate definite integrals using various area sums.
Demonstrate knowledge of applications of the definite integral.
1) Determine area and volume using definite integrals.
2) Find the arclength and surface area using definite integrals.
3) Find the average value of a function.
Instructional Philosophy
The instructor believes that mathematics should be related to experience, and that collaboration and
active involvement creates more opportunity for learning. The content, learning resources, assessment
procedures, and grading reflect these beliefs by incorporating a variety of activities in addition to
traditional lecture methods.
Prerequisite
You should have successfully completed the College Algebra and either Pre-Calculus or Trigonometry
courses (MAT 121 and MAT 166/MAT122) with a grade of C or better within the last 2 years or have a
placement score of CLM 103-120.
Attendance and Class Participation
We expect you to attend every class session, to arrive on time, and to stay through the end of the class
period. We expect you to think seriously about problems, questions, and concepts presented in class and
to contribute actively and constructively to class discussion. You are expected to bring your calculator to
every class session and be ready and willing to use it when asked. You are expected to recognize when
you need help and to ask questions. You MUST BE PRESENT to receive credit for any graded classroom
activity, for example: group projects, class discussions, quizzes, etc.
Calculator
A graphing calculator is required for this course. The Texas Instruments TI-83, TI-83 Plus and TI-84 are
recommended. Cell phones or other electronic devices may not be used as calculators on tests or quizzes.
Group Activities
Learning mathematics is best achieved by doing mathematics. Some concepts of the book will be taught
or enhanced by in-class group activities. These activities allow you to actively apply mathematical
concepts and communicate these concepts to your peers. Missed group activities CANNOT be made up
for any reason.
Writing Assignments
The ability to communicate mathematically is an important objective of this course. Writing assignments
will be assigned throughout the course. Late assignments are not accepted.
Homework/Quizzes
One of the best methods for learning mathematics is practice. Therefore, you should make a concerted
effort to complete all the assigned exercises and understand each of the concepts that these exercises
illustrate. Quizzes may be given covering assigned material and selected homework may be collected.
Missed quizzes CANNOT be made up for any reason. Late assignments are not accepted.
Study Time
For a college course, you should expect to spend two hours studying outside of class for each hour of
class. This “two hour rule” is a reasonable rule of thumb for students who have a good command of the
prerequisite skills and who use effective study strategies. Students who need to improve their
prerequisite skills or who have not learned study strategies will simply need to spend more time
studying than that specified by the “two hour rule”.
Tests
There will be four 85-minute in-class tests designed to evaluate your understanding of the material.
Make-up tests will be given only at the instructor's discretion. You must contact the instructor prior to
the absence, except in the case of an extreme emergency.
Textbooks
Calculus: Early Transcendental Functions, 6th ed. by Larson and Edwards ISBN 9781305714045
OR e-book ISBN 9781285858265 (Required)
Student Study Guide ISBN 9781285774800 (Optional)
Final Exam
The final exam will be comprehensive and include key concepts and techniques learned throughout this
course. The final exam will ONLY be given at the scheduled time. This is an 85 minute exam.
Course Change
You may change to another section of MAT 201 or to a lower level ONLY if there are seats available and
before the end of the 2nd day of the semester.
Extra Credit
No extra credit assignments will be given. It is to the students’ advantage to spend any extra time in
careful study of the required course material. Since math courses are sequential it is vital that all required
concepts be mastered for a passing grade.
Grading Scale
Group Activities……………………………… 5%
Writing Assignments………………………. 5%
Homework/Quizzes ……………………….10%
Four Tests ………………………………………60%
Final Exam……………………………………...20%
90 – 100……………..A
80 – 89………….........B
70 – 79………….........C
60 – 69………….........D
00 – 59………….........F
Recording Lectures
Except where a student is entitled to make an audio or video recording of class lectures and discussions
as an educational accommodation determined through the student’s interactive process with college
disability services, a student may not record lectures or classroom discussions unless written permission
from the class instructor has been obtained and all students in the class as well as guest speakers have
been informed that audio/video recording may occur.
A student granted permission to record may use the recording only for his or her own study and may not
publish or post the recording on YouTube or any other medium or venue without the instructor’s explicit
written authorization.
Math Help Center
You can receive FREE help for this course in the Math Help Center which is located in LPSC. Hours of
operation and additional help center locations are posted on the bulletin boards in the back of your class
room.
Cell Phones
Non-emergency use of cell phones is prohibited in class. Cell phones should be set to “vibrate” mode for
reverse 911 calls.
Important Dates
Last day to drop a class and receive a refund for 15-week courses……………………….. February 3, 2016
Last day to withdraw and receive a “W” for 15-week courses……………………………… April 16, 2016
No Registrations after the Census (Drop) date will be allowed.
NOTE: You must use your ONLINE account to complete an official “drop” or “withdraw”.
FRCC Information:
Academic Misconduct
Behavior violating a student’s rights and freedoms includes but is not limited to:
a. Fraudulent representation of student work
b. Copying the work of another student
c. Unapproved use of electronic devices, calculator programs, notes, or information
d. Communication of any kind between students during an exam
e. Helping someone else violate standards of academic behavior
This behavior will call for disciplinary action at the discretion of the instructor. The instructor may give a
zero on any assignment or exam where a violation has occurred. A report of the incident will be filed in
the office of the Dean of Student Services. Repeated offenses may result in a failing course grade and/or
dismissal from the college.
Academic Honesty
Refer to the student code of conduct in the Student Handbook, Planner, or the FRCC
website: http://www.frontrange.edu/docs/default-source/Being-a-Student/studenthandbook.pdf?sfvrsn=4
Policy on Non-Attendance
Any student that does not attend a class by January 25 will be dropped from that class. If a student is dropped
for non-attendance, and wishes to re-enroll in a course, he or she must go through the late add appeal
process, which includes securing the signatures of the Course Instructor, the Instructional Dean, and the
Campus Vice President. Course re-enrollment is at the discretion of the instructor, and it is unlikely that a
student will be re-enrolled in a course which they have not attended.
Financial Aid Recipients
The following actions have implications for financial aid recipients: non-attendance, dropping courses,
withdrawing from courses, repeating courses, academic progress, and the number of credit hours
attempted and completed. You are strongly encouraged to seek financial aid advising throughout the
term if you have any questions about eligibility implications.
Disability Support Services (DSS)
Students with a disability are encouraged to contact the learning resources and support programs on each
campus to arrange accommodations and support services. Larimer Special Services website:
http://www.frontrange.edu/being-a-student/disability-services and the link to the disability services
support information is: http://www.frontrange.edu/being-a-student/disability-services.
Students of Concern
Front Range Community College provides faculty, staff, and students a resource to report their concern
about any member of the FRCC community. If you are concerned about yourself or someone else, please
go to www.frontrange.edu/care and report.
Our college is committed to preserving a safe and welcoming educational environment for all students. As
part of this effort, I have an obligation to report certain issues relating to the health and safety of campus
community members. I must report to the appropriate college officials any allegation of discrimination or
harassment. Sexual misconduct, which includes sexual harassment, non-consensual sexual contact, nonconsensual sexual intercourse, and sexual exploitation, is considered a form of discrimination.
In addition to reporting all discrimination and harassment claims, I must report all allegations of dating
violence or domestic violence, child abuse or neglect, and/or credible threats of harm to yourself or
others. Such reports may trigger contact from a college official who will want to talk with you about the
incident that you have shared. In almost all cases, it will be your decision whether you wish to speak with
that individual. If you would like more information, you may reach the Title IX/EO Coordinator by
emailing Paul.Meese@frontrange.edu or calling 303-678-3707. Reports to law enforcement can be made
with the local law enforcement agency or you may contact the campus security office at:
Boulder County Campus – 303-678-3911
Larimer County Campus – 970-204-8124
Westminster Campus – 303-404-5411
If you would like a confidential resource, please contact Paul Meese, FRCC Executive Director of Human
Resources. Further information may be found on the college’s web site at:
http://www.frontrange.edu/being-a-student/campus-safety.
NOTE: All students must activate their new FRCC student email accounts. Please see instructions located
on the Front Range Community College Website: http://frontrange.edu
Front Range Community College Website: http://frontrange.edu
Spring 2016 Course Outline
Calculus I
MAT 201–603
Instructor: Alan Dinwiddie
Email: Alan.Dinwiddie@frontrange.edu
MWF 01:45-03:10PM
Room: CP 224
Office: CP 216
Phone: 204-8136
FAX: 970-204-8486
Office Hours: MWF 12-1pm, TR 9:30-10:30am
Location: CP 216
Tentative Course Outline
Refer to the specific section in your textbook for the lesson objectives to be assessed.
MONDAY
WEDNESDAY
FRIDAY
01/18 No Class
01/20 Syllabus, Review
01/22 Sections 2.1, 2.2
01/25 Sections 2.3
01/27 Section 2.4
01/29 Sections 2.5
02/01 Section 4.5
02/03 Review
02/05 TEST #1
02/08 Section 3.1
02/10 Section 3.2
02/12 Section 3.3
02/15 Section 3.4
02/17 Section 3.5
02/19 Section 3.6
02/22 Section 3.7
02/24 Section 3.7
02/26 Review
02/29 TEST #2
03/02 Section 4.1
03/04 Section 4.2
03/07 Section 4.3
03/09 Section 4.4
03/11 Section 4.6
Spring Break -- No Classes (3/14 -3/20)
03/21 Sections 4.6, 4.7
03/23 Section 4.7
03/25 Section 4.8
03/28 Review
03/30 TEST #3
04/01 Section 5.1
04/04 Section 5.2
04/06 Section 5.3
04/08 Section 5.4
04/11 Section 5.5
04/13 Section 5.6
04/15 Section 5.7
04/18 Section 6.3
04/20 Review
04/22 TEST #4
04/25 Section 7.1
04/27 Section 7.2
04/29 Section 7.2, 7.3
05/02 Section 7.3, 7.4
05/04 Section 7.4
05/06 Review
05/09 FINAL EXAM