SOUTHWEST COLLEGE –STAFFORD CAMPUS
Department of Mathematics
Elements of Calculus with Applications
SYLLABUS FOR MATH 1325
Math 1325, CRN #26535 Tue Thur1:00PM-3:00PM SW Hub
Fall 2012
INSTRUCTOR
CONFERENCE HRS
CONTACT PHONE #
EMAIL ADDRESS
Ernest Nwachukwu
3:00pm – 4:00pm
(713) 718 7770
Ernest.Nwachukwu@hccs.edu
Catalog Description: MATH 1325 Elements of Calculus with Applications. A survey
of differential and integral calculus including the study of functions and graphs
from a calculus viewpoint as applied to problems in business and the natural and
social sciences. Prerequisites: MATH 1314 or equivalent.
3 credit (3 lecture).
Prerequisites: MATH 1314 or its equivalent.
Attendance policy:
Students are expected to attend classes regularly. If some special situation arises, which
calls for your missing classes, then please keep me informed. If I am not notified and
your absences exceed 12.5% of the number of classes, you will be administratively
withdrawn immediately.
Tardiness (lateness to class) policy:
Every student is expected to be in class on time. If a student is late on the examination
day, the student will not be given extra time.
Math 1325
Withdrawal policy:
Any student who is contemplating withdrawing from the class is encouraged to do so on
or before the final day for withdrawal. The final day for withdrawal is April 23, 2008. If a
student withdraws after the final day for withdrawal from the class, the student will get an
“F”.
Home Work policy:
Assignments will given every week but usually will not be collected. For a student to get
the best out of this class, it is very important that the student solves problems in the
textbook. If a student fails to do assignments, it is not likely that the student will pass the
examination.
Exam Policy:
Cheating is not allowed in the examination. If a student is caught cheating in an
examination, the student will lose all the marks for that examination. College policies on
cheating will be enforced. These are clearly outlined in the HCCS Student Handbook.
Make-up policy:
There will be no make-up of any test. An exception to this can be allowed if there is a
case of medical emergency and with a valid proof. There will be no make-up of the final
examination.
Grading policy:
Each of the first four examinations is worth 20%; and the final examination is worth 40%
of the final course grade. There will be one week notice before any examination. The
final course grade (call it FCG) will be calculated using the formula:FCG = Average of the best four grades (final counting double).
Letter grade will be assigned to the FCG.
Grade legend: 90% - 100% - A, 80% - 89% - B, 70% - 79% - C, 60% - 69% - D, below
60% - F.
Final Examination:
The final examination consists of 33 multiple-choice problems. The problems cover only
the material required in this course.
Americans With Disabilities Act (ADA): Students with Disabilities: Any student with a
documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who
needs to arrange reasonable accommodations must contact the Disability Services Office
at the respective college at the beginning of each semester.
Course Intent: The intent of this course is to provide the student certain manipulative
skills with limits insofar as they apply to concrete but elementary problems in the social
and natural sciences. Mathematical rigor will be kept to a minimum.
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Math 1325
FINAL GRADE OF FX Students who stop attending class and do not withdraw
themselves prior to the withdrawal deadline may either be dropped by their professor
for excessive absences or be assigned the final grade of “FX” at the end of the
semester. Students who stop attending classes will receive a grade of “FX”, compared
to an earned grade of “F” which is due to poor performance. Logging into a DE course
without active participation is seen as non-attending. Please note that HCC will not
disperse financial aid funding for students who have never attended class. Students
who receive financial aid but fail to attend class will be reported to the Department of
Education and may have to pay back their aid. A grade of “FX” is treated exactly the
same as a grade of “F” in terms of GPA, probation, suspension, and satisfactory
academic progress
EGLS3 -- Evaluation for Greater Learning Student Survey System
At Houston Community College, professors believe that thoughtful student feedback is
necessary to improve teaching and learning. During a designated time, you will be asked
to answer a short online survey of research-based questions related to instruction. The
anonymous results of the survey will be made available to your professors and division
chairs for continual improvement of instruction. Look for the survey as part of the Houston
Community College Student System online near the end of the term.
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Math 1325
Audience: This course is intended for students majoring in business, and the natural and
social sciences.
Textbook: “MATHEMATICS WITH APPLICATIONS, 10th Edition.
Lial & Hungerford. Publisher: Eddison Wesley
Student Learning Outcomes
1. Find limits of functions and determine
continuity of functions.
2. Find derivatives of algebraic,
logarithmic, and exponential
functions, and use derivatives to
solve applied problems and produce
graphs.
3. Find integrals, either approximate
and exact, of some algebraic and
exponential functions, and use
integrals to solve applied problems.
4. Find partial derivatives of multidimensional functions, and use partial
derivatives to solve applied problems
and produce graphs.
Course Objectives
1.1 Find the limit of a function as x approaches a.
1.2 Find the average and instantaneous rate of
change.
1.3 Use a limit to find the derivative of a function.
1.4 Tell if a function is continuous at given values
of x.
2.1 Use the quotient rule to find the derivative of a
function.
2.2 Use the power rule to find the derivative of a
function.
2.3 Find the derivative of exponential and
logarithmic functions.
2.4 Find the absolute extrema of a given function.
2.5 Use the second derivative to find all relative
extrema for a function.
2.6 Use derivatives for various applications and
sketching of curves.
3.1 Find antiderivatives for indefinite integrals and
find indefinite integrals using substitution.
3.2 Given a definite integral, find the area under
the curve.
3.3 Evaluate the results of a summation.
3.4 Using the fundamental theorem of calculus,
evaluate definite integrals.
3.5 Apply definite integrals for various applications
and use the table of integrals to find
antiderivatives.
3.6 Find general solutions for given differential
equations.
4.1 Graph the first octant portion of a given plane.
4.2 Given a function f(x,y), find all second-order
partial derivatives.
4.3 Given a function f(x,y), find the values of any
relative extrema and identify saddle points.
APPROXIMATE TIME
TEXT REFERENCE
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Math 1325
Algebra Review (6 hours)
1/2 hour
Course introduction
1/2 hour
1.3 Factoring
1 hour
2.3 Linear Models
1 hour
3.7 Rational Functions
1 hour
4.1 Exponential Functions
1 hour
4.3 Logarithmic Functions
Differential Calculus (10 hours)
1 hour
11.1 Limits
1 hour
11.2 Rates of Change
1 hour
11.3 Tangent Lines and Derivatives
11/2 hours
11.4 Techniques for Finding Derivatives
11/2 hours
11.5 Derivatives of Products and Quotients
1 hour
11.6 The Chain Rule
1 hour
11.7 Derivatives of Exponential and Logarithmic Functions
1 hour
11.8 Continuity and Differentiability
Applications of the Derivative (9 hours)
2 hours
12.1 Derivatives and Graphs
2 hours
12.2 The Second Derivative
2 hours
12.3 Optimization Applications
2 hours
12.4 Curve Sketching
Integral Calculus (13 hours)
2 hours
13.1 Antiderivatives
2 hours
13.2 Integration by Substitution
2 hours
13.3 Area and the Definite Integral
2 hours
13.4 The Fundamental Theorem of Calculus
2 hours
13.5 Applications of Integrals
2 hours
13.7 Differential Equations
Multivariate Calculus (7 hours)
2 hours
14.1 Functions of Several Variables
2 hours
14.2 Partial Derivatives
2 hours
14.3 Extrema of Functions of Several Variables
This chapter begins with functions of several variables. It concludes with sections
covering partial derivatives and extrema of functions of several variables.
Resource Materials: Any student enrolled in Math 1325 at HCCS has access to the
Academic Support Center where they may get additional help in understanding the theory
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Math 1325
or in improving their skills. The Center is staffed with mathematics faculty and student
assistants, and offers tutorial help, video tapes and computer-assisted drills. Also
available is a student’s Solutions manual which may be obtained from the Bookstore.
Americans With Disabilities Act (ADA): Persons needing accommodations due to a
documented disability should contact the ADA counselor for their college as soon as
possible.
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