MATH 1910 Calculus and Analytic Geometry I

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MATH 1910 - VSCC
CALCULUS AND ANALYTIC GEOMETRY I
4 Credit Hours
Important information about the course is contained in this Syllabus. You should carefully read the entire document,
and make sure you understand all course Policies and Procedures. You may want to PRINT it for future reference.
Course Information
Course Description:
Limits, continuity, derivatives of algebraic, trigonometric, exponential, and logarithmic functions,
applications of differentiation, Newton’s Method, indefinite integrals, mean value and fundamental
theorems, applications of integration including fluid force, work and kinetic energy, surface area,
volumes or revolution, length of plane curves, moments and centers of mass. (Same as RODP MATH
1910)
Course Objectives:
Primary Educational Goals:
The primary educational goal of this course is to develop in the mathematics and science student the
ability to analyze calculus and the principles of analytic geometry in a logical manner. This course will
also prepare a student for further coursework in mathematics and science.
Primary Educational Outcomes:
As a result of completing this course, students will have demonstrated an acceptable level of mastery of
concepts and applications of first semester calculus and an understanding of mathematical logic necessary
to apply these concepts and principles to problem solving.
Prerequisites:
Four years of high school mathematics, including trigonometry, and an ACT math subscore of 25 or
greater, or MATH 1720 with a grade of C or better.
Course Topics:
Limits and Continuity
Rates of Change and Limits
Calculation Limits Using the Limit Laws
The Precise Definition of a Limit
One-Sided Limits and Limits at Infinity
Infinite Limits and Vertical Asymptotes
Continuity
Tangents and Derivatives
Derivatives
The Derivative of a Function
The Derivative as a Rate of Change
Derivatives of Products, Quotients, and Negative Powers
Derivatives of Trigonometric Functions
The Chain Rule and Parametric Equations
Implicit Differentiation
Derivatives of Inverse Functions and Logarithms
Inverse Trigonometric Functions
Related Rates
Linearization and Differentials
Applications of Derivatives
Extreme Values of Functions
The Mean Value Theorem
Monotonic Functions and the First Derivative Test
Concavity and Curve Sketching
Applied Optimization Problems
Indeterminate Forms and L'Hopital's Rule
Newton�s Method
Anti-derivatives
Integration
Estimating with Finite Sums
Sigma Notation and Limits of Finite Sums
The Definite Integral
The Fundamental Theorem of Calculus
Indefinite Integrals and the Substitution Rule
Substitution and Area Between Curves
Specific Course Requirements:
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Connection to the web through a dependable Internet Service Provider (ISP)
Required Textbook (see below)
Scientific or approved Graphing Calculator (see below)
Some proficiency in using the email, discussion board, and drop box components of
D2L
A valid Picture ID (e.g., driver's license)
Textbooks, Supplementary Materials, Hardware and Software
Requirements
Required Textbooks:
Calculus: Early Transcendentals, 7e, by Stewart
Bundle ISBN: 111164957X (This includes the full text, WebAssign access for the
length of the edition of the book, and the Student Start Smart Guide for
WebAssign.)
Copies of this textbook bundle are available for purchase in the VSCC Bookstore or Online at the
VSCC Bookstore.
NOTE: This is the required textbook also for MATH 1920 and MATH 2110.
Academic Honesty:
Cheating, in any form, is absolutely forbidden. Anyone caught cheating will receive a grade of
zero, a grade of F in the course, and may face other punitive measures.
WARNING: D2L provides the instructor with many tools for detecting cheating. Don't do it; dishonest
actions will be detected! Your moral character is more valuable than any unearned grade in this
course.
Assignments and Participation
Assignments and Projects:
PowerPoint Presentations: Students enrolled in this course are required to view the online
PowerPoint presentation for each lesson before doing the homework. Each presentation contains a
"keyword" on a randomly selected slide. Students are required to submit this keyword to the
instructor (one of the questions in the Mod Check). Viewing the animated presentations diligently
has proven to greatly increase the probability of success in this course!
Homework: Homework assignments in WebAssign consist of algorithmically generated problems,
tied to the course textbook. Homework must be submitted by 11:59 pm (Central time) on the
due date listed in the D2L Course Calendar (and in WebAssign). Extra Credit on Tests 1, 2,
3, and 4 is contingent upon submitting the relevant Homework by this due date. An
individual student who occasionally may need additional time to complete an assignment may
obtain an automatic 1-day extension by emailing the Instructor. All Homework
assignments are set to "allow students to work and change score after due date," but
keep in mind that late homework submissions will reduce the amount of Extra Credit for
which you are eligible on Tests 1, 2, 3, and 4. You may submit each question up to 5
times. Your last submission will be automatically graded and recorded. Homework grades
will be transferred from WebAssign to D2L Grades at the end of the semester.
Warning: Doing the assigned homework is absolutely essential for students to learn the skills
necessary to successfully complete the course. Any student who has not completed the relevant
homework before a scheduled Test may be denied access, will be graded more harshly, and is not
eligible for any extra credit and/or grading curve that might otherwise be available.
Mod Checks: The Mod Checks will count in the Homework Average and are to be done online after
viewing the PowerPoint Presentation and completing the assigned Homework for that lesson. A detailed
solution of the included problem may be viewed immediately after submitting the Mod Check.
Class Participation:
Discussions: Online discussions among students are to be posted at the appropriate time in the
appropriate folder of the course message board. Students are required to regularly read and post courserelated messages. D2L allows the instructor to track discussion messages posted, as well as messages
read. Both quantity (articles "read" and "posted") and quality of participation in these threaded discussions
will count in the student's Discussions grade, which counts 5% of the overall grade.
TUTORIAL ASSISTANCE: A student may get additional tutorial assistance from the instructor during
regular office hours in W-100H or by calling (615)741-3215 or (615)452-8600 or 1-888-335-8722,
extension 3386. For online interaction with the instructor, use D2L Email.
Math Lab: Trained tutors are also available in the Math Lab (Warf 123) or by calling extension 3387.
Lab hours are posted on the Math Lab web site at http://www.volstate.edu/MathScience/Lab. Any time a
student needs additional tutorial assistance, e.g. homework help, the Vol State Math Lab is highly
recommended. At times when the Instructor and other resources are not available, the trained staff in the
Math Lab stand ready and willing to offer free tutoring six days a week.
Punctuality:
Homework assignments must be delivered (or at least postmarked) on or before the due dates
posted in the course Calendar. Quizzes and Tests must be completed on the scheduled dates. Any
student who is unable to meet a stated deadline should contact the instructor before the deadline to
request an extension.
Course Ground Rules
Students are expected to participate in all interactive aspects of the course. You should regularly
communicate with other students and the instructor using the D2L online communication tools,
including email and discussions. View the online PowerPoint Presentation for each Lesson before
attempting the homework. Practice until you can navigate proficiently in D2L. Check the course
message board every day or two for new postings. For this course, use the email component of D2L,
in lieu of your regular email address, such as one supplied by your Internet Service Provider. When
you have technical problems with your computer or the online components of this course, get the
necessary assistance immediately. Observe course netiquette at all times.
Instructor Response Times
The primary means of communication in this course will be D2L Email. Messages should be sent to
the Instructor any time a student feels the need. Messages will be read and responded to every day
--- even two or three times a day in the first week and at other critical times during the semester.
Whenever a student has something to share with classmates, the Discussion component of D2L
should be used. Tests and Quizzes will be graded and grades posted within a few days after the
availability period has ended. Homework grades will be posted periodically, e.g. a few days after
each of the four major Tests.
Guidelines for Communications
Email:
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Always include a subject line.
Remember without facial expressions some comments may be taken the wrong way. Be
careful in wording your emails. Use of emoticons might be helpful in some cases.
Use standard fonts.
Do not send large attachments without permission.
Special formatting such as centering, audio messages, tables, html, etc. should be avoided
unless necessary to complete an assignment or other communication.
Respect the privacy of other class members.
Discussion Groups:
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Review the discussion threads thoroughly before entering the discussion. Be a lurker then a
discussant.
Try to maintain threads by using the "Reply" button rather starting a new topic.
Do not make insulting or inflammatory statements to other members of the discussion group.
Be respectful of other�s ideas.
Be patient and read the comments of other group members thoroughly before entering your
remarks.
Be cooperative with group leaders in completing assigned tasks.
Be positive and constructive in group discussions.
Respond in a thoughtful and timely manner.
Chat:
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Introduce yourself to the other learners in the chat session.
Be polite. Choose your words carefully. Do not use derogatory statements.
Be concise in responding to others in the chat session.
Be prepared to open the chat session at the scheduled time.
Be constructive in your comments and suggestion.
Web Resources:
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Click on [Contents], and scroll down near the bottom to [References], under [Study Tools].
Library
The VSCC Library is available to all Vol State students. Links to library materials (such as electronic
journals, databases, interlibrary loans, digital reserves, dictionaries, encyclopedias, maps, and
librarian support) are available.
Students With Disabilities
It is the student�s responsibility to self-identify with the Office of Disability Services to receive
accommodations and services in accordance with The Americans with Disabilities Act (ADA). Only
those students with appropriate documentation and who are registered with the Office of Disability
Services will receive accommodations. For further information, contact the Office of Disability
Services at (615) 230-3472, TDD (615)-230-3488, or visit the office which is located in Room 108,
Wood Campus Center.
Equal Opportunity Statement
Volunteer State Community College is an equal opportunity Affirmative Action Educational
Institution. No person shall be excluded from participation in, be denied the benefit of, or be
subjected to discrimination under any program or activity of the College because of race, color,
national origin, age, or handicap. The college also complies with the Age Discrimination in
Employment Act of 1967, as amended and with the Vietnam Era Veterans' Readjustment Act of
1974. The commitment to equal opportunity applies to all aspects of recruitment, employment and
education of individuals at all levels throughout the College.
Syllabus Changes
The instructor reserves the right to make changes as necessary to this syllabus. If changes are
necessitated during the term of the course, the instructor will immediately notify students of such
changes both by individual email communication and posting both notification and nature of
change(s) on the course bulletin board.
Technical Support
Telephone Support:
If you are having problems logging into your course, timing out of your course, using your course web
site tools, or other technical problems, please use the MyVolState Online Support Website at
http://www.volstate.edu/DLSuccess/. If the necessary assistance is not found there, call the VSCC Help
Deskat extension 3302. If necessary, you may also contact the Instructor.
VSCC Phone Numbers: (615) 452-8600, (615) 741-3215, (888) 335-8722
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NOTE:
Help Desk, ext 3302
Instructor, click on [Instructor
Information] in the course Content
Technical advice is free; however, neither the Help Desk nor the Instructor will attempt to make
needed repairs to your computer.
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