LURLEEN B. WALLACE COMMUNITY COLLEGE
ONLINE COURSE SYLLABUS
CONTACT INFORMATION
Instructor Name: Paige Feibelman
Campus Location: Andalusia Campus
Office Location: ADM 215
Office Phone: 334-881-2286
Office Email: pfeibelman@lbwcc.edu
Office Hours: 2:00 – 4:00 pm M – TH, 8:00 am – 1:00 pm F
Campus Mailing Address: Paige Feibelman
LBWCC
1000 Dannelly BLVD
Andalusia, AL 36420
COURSE NUMBER AND TITLE
MTH 125 Calculus I
PREREQUISITES
A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an
appropriate mathematics placement score. An alternative to this is that the student should
successfully pass with a C or higher MTH 113.
DIVISION AND DEPARTMENT
Math/Science Division, Math Department
SEMESTER HOURS CREDIT
Three hours
CATALOG DESCRIPTION
This is the first of three courses in the basic calculus sequence taken primarily by
students in science, engineering, and mathematics. Topics include the limit of a function;
the derivative of algebraic, trigonometric, exponential, and logarithmic functions; and the
definite integral and its basic applications of area problems. Applications of the
derivative are covered in detail, including approximations of error using differentials,
maximum and minimum problems, and curve sketching using calculus.
TEXTBOOK(S)
Calculus, 8th edition by Larson, Hostetler, and Edwards. Publisher is Houghton Mifflin.
TECHNOLOGY REQUIREMENTS
A. General requirements
 A personal computer (not WebTV) with Windows 2000 or Windows XP
(computer labs are available on all three campuses)
 A VGA (or equivalent) or better monitor

Reliable Internet access. (If using a dial-up connection, at least 28.8k
modem is recommended. Slower dial-up connections will affect course
performance. If you are an AOL user: You will need AOL version 7.0 or
higher)
 Netscape Navigator/Communicator 7.1 higher or Internet Explorer 6.0
 or higher
 Sound Card
 Most recent versions of plug-ins and viewers. These are free
additions to browsers that allow students to view special course
components such as video, clips, or animations.
B. Course specific requirements
 none
SUPPLEMENTARY MATERIAL
Paper
Three ring binder or spiral notebook
Scientific or graphing calculator
COURSE OBJECTIVES
UNIT ONE: Limits and Their Properties
Upon successful completion of this unit the student will be able to understand what
calculus is and how it compares with precalculus, understand that the tangent line
problem is basic to calculus, understand that the area problem is also basic to calculus,
estimate a limit using a numerical or graphical approach, learn different ways that a limit
can fail to exist, study and use a formal definition of limit, evaluate a limit using
properties of limits, develop and use a strategy for finding limits, evaluate a limit using
dividing out and rationalizing techniques, evaluate a limit using the Squeeze Theorem,
determine continuity at a point and continuity on an open interval, determine one-sided
limits and continuity on a closed interval, use properties of continuity, understand and use
the Intermediate Value Theorem, determine infinite limits from the left and from the
right, and find and sketch the vertical asymptotes of the graph of a function.
UNIT TWO: Differentiation
Upon successful completion of this unit the student will be able to find the slope of the
tangent line to a curve at a point, use the limit definition to find the derivative of a
function, understand the relationship between differentiability and continuity, find the
derivative of a function using the Constant Rule, find the derivative of a function using
the Power Rule, find the derivative of a function using the Constant Multiple Rule, find
the derivatives of the sine and cosine functions, use derivatives to find rates of change,
find the derivative of a function using the Product Rule, find the derivative of a function
using the Quotient rule, find the derivative of a trigonometric function, find a higherorder derivative of a function, find the derivative of a composite function using the Chain
rule, find the derivative of a function using the General Power Rule, simplify the
derivative of a function using algebra, find the derivative of a trigonometric function
using the Chain Rule, distinguish between functions written in implicit form and explicit
form, use implicit differentiation to find the derivative of a function, find a related rate,
and use related rates to solve real-life problems.
UNIT THREE: Applications of Differentiation
Upon successful completion of this unit the student will be able to understand the
definition of extrema of a function on an interval, understand the definition of relative
extrema of a function on an open interval, find extrema on a closed interval, understand
and use Rolle’s Theorem, understand and use the Mean Value Theorem, determine the
intervals on which a function is increasing or decreasing, apply the first derivative test to
find relative extrema of a function, determine intervals on which a function is concave
upward or concave downward, find any points of inflection of the graph of a function,
apply the second derivative test to find relative extrema of a function, determine (finite)
limits at infinity, determine the horizontal asymptotes, if any, of a graph of a function,
determine infinite limits at infinity, analyze and sketch the graph of a function, solve
applied minimum and maximum problems, approximate a zero of a function using
Newton’s Method, understand the concept of a tangent line approximation, compare the
value of the differential, dy, with the actual change in y, estimate a propagated error using
a differential, and find the differential of a function using differentiation formulas.
UNIT FOUR: Integration
Upon successful completion of this unit the student will be able to write the general
solution of a differential equation, use indefinite integral notation for antiderivatives, use
basic integration rule sot find antiderivatives, find a particular solution of a differential
equation, use sigma notation to write and evaluate a sum, understand the concept of area,
approximate the area of a plane region, find the area of a plane region using limits,
understand the definition of a Riemann sum, evaluate a definite integral using limits,
evaluate a definite integral using properties of definite integrals, evaluate a definite
integral using the Fundamental Theorem of Calculus, understand and use the Mean Value
Theorem for integrals, find the average value of a function over a closed interval,
understand and use the Second Fundamental Theorem of Calculus, use pattern
recognition to find an indefinite integral, use a change of variables to find an indefinite
integral, use the General Power Rule for Integration to find an indefinite integral, use a
change of variables to evaluate a definite integral, evaluate a definite integral involving
an even or odd function, approximate a definite integral using the Trapezoidal Rule,
approximate a definite integral using Simpson’s Rule, and analyze the approximate errors
in the trapezoidal rule and Simpson’s Rule.
UNIT FIVE: Logarithmic, Exponential, and Other Transcendental Functions
Upon successful completion of this unit the student will be able to develop and use
properties of the natural logarithmic function, understand the definition of the number e,
find derivatives of functions involving the natural logarithmic function, use the Log Rule
for Integration to integrate a rational function, integrate trigonometric functions, verify
that one function is the inverse function of another function, determine whether a
function has an inverse function, find the derivative of an inverse function, develop
properties of the natural exponential function, differentiate natural exponential functions,
integrate natural exponential functions, define exponential functions that have bases other
than e, differentiate and integrate exponential functions that have bases other than e, use
exponential functions to model compound interest and exponential growth, develop
properties of the six inverse trigonometric functions, differentiate an inverse
trigonometric function, review the basic differentiation rules for elementary functions,
integrate functions whose antiderivatives involve inverse trigonometric functions, use the
method of completing the square to integrate a function, review the basic integration rules
involving elementary functions, develop properties of hyperbolic functions, differentiate
and integrate hyperbolic functions, develop properties of inverse hyperbolic functions,
and differentiate and integrate functions involving inverse hyperbolic functions.
UNIT SIX: Differential Equations
Upon successful completion of this unit the student will be able to use initial conditions
to find particular solution of differential equation, use slope fields to approximate
solutions of differential equations, use Euler’s Method to approximate solutions of
differential equations, use separation of variable to solve a simple differential equation,
use exponential functions to model growth and decay in applied problems, recognize and
solve differential equations that can be solved by separation of variables, recognize and
solve homogeneous differential equations, use differential equations to model and solve
applied problems, and solve and analyze logistic differential equations.
ONLINE TEACHING METHODS
A variety of teaching methods and student involvement exercises will be utilized to
address different learning styles.
ATTENDANCE POLICY
In a Web class students are still expected to accept responsibility for covering the
assigned material and completing assignments on time. The student is responsible for
keeping pace with the assignment calendar. This requires a mature attitude and selfdiscipline.
Students are expected to attend all classes for which they are registered. Students who are
unable to attend class regularly, regardless of the reason or circumstance, should
withdraw from that class before poor attendance interferes with the student's ability to
achieve the objectives required in the course.
Tracking of student activity and performance will be conducted weekly. Students must
email Ms. Feibelman at least once per week to verify attendance. Attendance for the
weekly on campus meetings is required. All students are expected to complete their
assignments by the indicated deadlines. A minimum of two hours per week of online
work is required. Not meeting these requirements could result in failure of the course.
WITHDRAWAL
College catalog page 30
EVALUATION PROCEDURES FOR ONLINE STUDENTS
The final average for MTH 125 Online will be calculated as follows:
40%
10%
10%
10%
10%
10%
10%
Turn-In homework and video summaries
Written Exam on Unit 1 (Proctored)
Written Exam on Unit 2 (Proctored)
Written Exam on Unit 3 (Proctored)
Written Exam on Unit 4 (Proctored)
Written Exam on Unit 5 (Proctored)
Written Exam on Unit 6 (Proctored)
The College grading scale will be used:
90 – 100
A
80 – 89
B
70 – 79
C
60 – 69
D
0 – 59
F
MAKE-UP POLICY
There will be no make-up exams. Exceptions will be made only under extremely
extenuating circumstances and then only with written documentation of excuse. If a
student knows in advance that they must miss an exam, he or she should contact Ms.
Feibelman to make other arrangements. A missed exam will be calculated in the final
average as a zero.
LATE WORK
Homework problems and online work must be completed by the dates scheduled. Failure
to turn in work on time could result in the recording of a grade of zero.
ACADEMIC HONESTY
Students are expected to follow the Student Code of Conduct as described in the current
college catalog (pages 157-159). Cheating and plagiarism violate these standards and
may result in disciplinary action, including expulsion.
POLICY ON REASONABLE ACCOMODATIONS FOR PEOPLE WITH
DISABILITIES
Lurleen B. Wallace Community College complies with Section 504 of the Rehabilitation
Act of 1973 and the Americans with Disabilities Act of 1990. If you have a disability
that might require special materials, services, or assistance, or if you have any questions
relating to accessibility, please contact the ADA Coordinator on the respective campuses.
For TDD users in Alabama, the Alabama Relay Center is available by calling 1-800-5482546. All materials related to compliance with the Americans with Disabilities Act are
maintained by the college coordinators.
Andalusia Campus
Bridges Anderson
334-881-2247
SATETY
Greenville Campus
Dr. Jean Thompson
334-382-2133 ext. 3102
MacArthur Campus
Jason Cain
334-493-3573 ext. 5363
Safety procedures will be addressed during the first on campus meeting.
OTHER
Additional course information may be announced by the instructor, and the instructor
may make changes to this syllabus.