Calculus I MAT 181

Calculus I
MAT 181
Spring 2017
4.00 Credit Hours
5th Period
Instructor Contact Information:
Instructor: Ms. Nary
Office Location: Room 208
Office Hours: 3, 6 orange, 7 orange
Email: [email protected]
Office Phone: (607) 865 - 4116
Required Textbook: Calculus for Scientists and Engineers by Briggs, Cochran, & Gillett
Required Materials/Supplies: TI-30X IIS Calculator THIS IS NOT A GRAPHING CALCULATOR
Course Information & Description:
Course Description: A university parallel calculus course covering functions, limits and
continuity. Differentiation and integration of polynomial, rational, trigonometric, logarithmic,
exponential functions using computational and intuitive methods. Applications including curve
sketching, rectilinear motion, related rates, maxima and minima. Summation, integration and
the Fundamental Theorem of Calculus, and applications of the definite integral.
Prerequisites: MAT 156 Algebra and Trigonometry for Calculus, or equivalent
Requirements met by this course: This course prepares students to meet the Mathematics
General Education requirement.
Specific Learning Outcomes:
Upon successful completion of this course the student will be able to:
1. Find limits using computational and intuitive methods.
2. Understand the formal definition of a limit.
3. Determine continuity of functions.
4. Find the derivative of a function using the limit definition.
5. Graph, differentiate and integrate polynomial, rational, trigonometric, logarithmic, and
exponential functions, using computational and intuitive methods.
6. Find derivatives by the chain rule.
7. Find implicit derivatives.
8. Understand differentials and linear approximations and their relation to the derivative.
9. Understand the Mean Value Theorem and Rolle’s Theorem.
10. Set up and solve maxima and minima problems and related rate problems.
11. Use the first and second derivatives as aids in sketching curves.
12. Find antiderivatives.
13. Understand sigma notation and know that a definite integral is the limit of a Riemann sum.
14. Understand the Fundamental Theorem of Calculus.
15. Integrate by Substitution.
16. Apply the definite integral to problems involving area under a curve and area between
curves.
17. Apply the definite integral to problems involving volume, curve length, and surface area.
18. Understand and solve elementary differential equations.
Additional Learning Outcomes:
In the context of the course objectives listed above, upon successful completion of this course
the student will be able to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables
and schematics.
2. Represent mathematical information symbolically, visually, numerically and verbally.
3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve
problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limitations of mathematical and statistical methods.
Common Core Standards for Mathematical Practice:
1. Make sense of problems and persevere in solving them
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
Course Expectations:
Success in this course is in your hands! We will be learning a large amount of material, and it is
your responsibility to actively complete homework and classwork and seek help whenever
necessary. You will need to study every night to master the material. You must practice, both
inside and outside the classroom.
It will be a lot of work, but together, we can and will succeed!
Classroom Rules:
1. Be Prepared – bring all required materials and a ready-to-learn attitude everyday
2. Be Responsible – take responsibility for yourself and your education
3. Be Respectful – there is a zero tolerance policy for disrespectful speech and actions
4. Be Device Free – NO CELL PHONES, tablets, computers, music listening devices, etc
Class Structure:
 Bell Ringer: Each class will begin with a Bell Ringer that you will start as soon as you
enter the classroom. You will have up to 5 minutes to complete this activity and they
will be used as a quiz grade at the end of the week.
 Go over homework/classwork/questions
 Discussion/introduction to new topic
 Lecture
 Classwork
 Review
Materials Needed:
 Open Mind
 Positive Attitude
 Binder - at least 2 inches
 Loose Leaf Paper
o A notebook is not recommended as we will be taking more notes than will fit in
most notebooks
 Textbook - expected at every class
 Calculator – expected at every class
 Pencils and Erasers
 Index Cards (required) - we will be learning new vocabulary and formulas that you MUST
memorize. As part of each test grade, you will turn in your flashcards and study
materials.
 OPTIONAL: Colored Writing Utensils - to highlight important information/tips/tricks, for
noting important steps in a long problem, and for adding little extras to your notes to
help yourself along the way
Academic Integrity:
The student code of conduct will be enforced in this class. If anyone is
caught cheating (actively or passively), the maximum allowable penalty will result. Your
behaviors should not give anyone reason to suspect that you are benefiting from the work of
someone else in order to succeed in this course.
Cell phones must be silent during class. No texting during class.
If there is an emergency situation that requires you to be accessible by phone, please speak to
the instructor ahead of time and sit near the door so that in the event that you receive a call,
the disruption to the class will be minimized. If your behavior is distracting other students from
learning, you may be asked to leave. No audio or video recording is allowed in class without
the written permission of the instructor.
Extra Help: Do not procrastinate. It is my goal to ensure that all students are successful in my
classes. As such, I am more than willing meet to provide extra help! I am free periods 1orange, 2, 7, and 8-black. Please feel free to contact me so we can schedule a time that works
with both of our schedules. We are a learning community and can only achieve our goals by
working together!
Grading Policy:
The department has set up the following grading scale
Category
Classwork
Homework
Quizzes/Formative Assessments
Tests/Summative Assessments
Percent
20%
10%
30%
40%
Your grade will be calculated as follows:
Grade Percentage
A
93-100%
A90-92%
B+
87-89%
B
83-86%
B80-82%
C+
77-79%
C
73-76%
C70-72%
D
60-69%
F
Below 60%
Classwork: I will be looking for you to actively demonstrate your understanding of the material
by answering and asking questions, participating in classroom discussions and activities, and
completing problems individually and as a group. I expect you to be on task at ALL TIMES.
There will be assignments throughout the semester that will be completed in class that will also
go into this category. Each day you will receive a grade out of 2 points. If you are not
prepared, you lose one point. If you misbehave, you will lose one point. If you are asked to
leave class due to a behavior issue, you will get a 0 for the day.
Homework: Homework will also be assigned daily. Homework that is not turned in on time
will be accepted one day late at 50%. It will not be accepted after that. Homework that is
covered in class cannot be turned in late for credit. Homework will be posted on the district
Homework Calendar each day it is assigned. Your success in this course will probably depend
on how conscientiously you complete your homework.
Quizzes: There will be at least one weekly quiz comprised of the Bell Ringer exercises. There
may be other pop-quizzes at my discretion.
Tests: There will be an exam after most topics. These exams will be closed books and closed
notes. It will be entirely short answer problems, including vocabulary questions. If you are
absent on the day of a test, you will have 48 hours from your return to make it up. After that,
you will receive a grade of zero. Tests cannot be made up during class time.
Attendance: Attendance is critical as the pace of the class is quite fast. You will miss a
significant amount of material each day you are out. You are responsible for any and all
material that you miss, as well as any assignments that were due and assigned. There is an
attendance requirement from BCC. If you do not meet this requirement, you will not get
credit for the course.
Calculator: We will be using a TI-30x-IIs or similar scientific calculator in this course. You may
not use graphing or cell phone calculators on a test or quiz. It is your responsibility to bring the
appropriate calculator daily.
Links to the following are provided on my webpage:
SUNY Broome Academic Honesty Policy
SUNY Broome Civility Statement
SUNY Broome Non-Discrimination Policy
SUNY Broome Academic Grievance Policy
https://www.sunybroome.edu/student-academic-appeals-procedure
Instructor Disclaimer
This syllabus is intended to give the student guidance in what may be covered during the
semester and will be followed as closely as possible. The instructor reserves the right to
modify, supplement and make changes as the course needs arise in such a manner that will
benefit the classroom environment.