TOMBALL COLLEGE
Magnolia West High School
Course Syllabus Fall 2015
MATH 1325: ELEMENTS OF CALCULUS WITH APPLICATIONS
COURSE INFORMATION
INSTRUCTOR INFORMATION
Course Title: ELEMENTS OF CALCULUS WITH
APPLICATIONS
Course No: 3301
Credit Hours: 3 semester credit hours
Prerequisite:
Completion of MATH 1314 with a 'D' or better.
Semester: Fall 2015
Room: Room # 2101
Instructor: Dr. Andrzej Sokolowski
Office: Room 2101
Office Phone: 281-252-2550
Tutoring: Tuesdays and Thursdays: 2:45 PM
-3:30 PM
Office Hours: 6:45 A.M. - 3:15 P.M.
E-mail: asokolowski@magnoliaisd.org
DESCRIPTION
This course is to provide a concise yet broad introduction to the theory, methods, and
applications of calculus especially as they apply to business, life, and social sciences.
Elements of Calculus integrates numerous math concepts studied in previous math courses as
well as it intends to provide a strong foundation for university math and science courses.
TEACHING STRATEGIES
Presentation of New Concept







Brief introduction with underlined connections to previously studied concepts
A demonstration or a visual representation (power-point, simulation, virtual lab) of a
studied concept
Analogies, and correlation to other subjects especially to physics
A few examples of solved problems that involve newly derived concepts. These
examples will correspond to homework questions and will be sequencing from lower to
upper taxonomy level.
Potential areas for mistakes during the solution processes will be underlined to alert the
students.
Each new major idea will be attempted to examine the concept graphically, numerically,
and symbolically. I will illustrate connections among the three.
Graphing calculator will enhance the process of evaluating the derivative and
antiderivatives.
1
Laboratory Activities
Laboratory activities are essential not only to science but also to major mathematics courses as
they provide opportunity to test the validity of studied laws and encourage communications
among students. The labs will focus on the following methodologies:



They will lead to discovery of a fundamental quantities; for example the magnitude of
earth’s acceleration; formulas for volume or area, rate of change or parametric
representations.
Students will apply or verify concepts studied in class; Riemann sums; rate of flow;
applications of related rates; sinusoidal functions etc. Labs will also enhance the process
of utilizing graphing calculator whenever it will be possible.
Students will be required to complete a lab in each of the major sections. The focus of
labs will be placed on the analysis of the outcomes. I will recommend and encourage the
students to have lab analysis adhere to the guidelines of technical paper.
All labs will have thought-provoking questions and should provide a transition to text based
problems.
Assessments
Assessment in this class will be composed of variety of elements.
One of the elements is to ensure that students are familiar with using graphing calculator to
perform the four basic operations; graphing a function in an arbitrary window, finding roots and
points of intersection, finding numerical value for derivatives, and evaluating definite integrals.
Students will be asked to use the calculator to investigate concepts such as limits by using the
trace and table operations to make conjectures about the answers.
Quizzes will be assigned frequently to assess students’ understanding of the material. A 10 -15
minute quiz will combine multiple choice and/or free response questions. This type of quizzes
needs to be announced. Quiz results will be discussed by the teacher and possible sources of
errors (concept not learned, calculation problems, question not clearly stated) will be
highlighted.
Tests will be usually assigned at the end of a chapter followed by a review.
The content of the tests will contain free response and multiple choice questions. Some of the
tests will require a graphing calculator; some will be taken without it. Since the tests will reflect
an AP level, the instructor might curve them accordingly. The expectations should be gradually
increasing and the curve eliminated as the students are gearing toward the end of the course.
Requirement
Percent of
Final grade
Letter
Grade
Percentage Range
MAJOR TESTS
54%
A
90% -100%
HOMEWORK & QUIZZES
14%
9-WEEK EXAM
12%
B
C
D
80% - 89%
70% - 79%
60% - 69%
FINAL EXAM
20%
F
<60%
2
OBJECTIVES
In completing this course, students will:







Be able to apply functions expressed graphically, numerically, analytically, and verbally
to model real life situations.
Understand the differences between the process of differentiation and integration as
they apply to real life situations.
Expand their mathematical knowledge including, theories, techniques, concepts, and
generalization.
Improve their problem solving ability; ability to ask mathematical questions and to obtain
solutions to problems by use of quantitative and qualitative reasoning and experimental
investigation.
Experience appreciation of mathematical world.
Develop curiosity, creativity, and reasoned skepticism.
Explore connections of calculus to other disciplines especially to physics.
TEXTBOOKS AND MATERIALS


Calculus for Business, Economics, Life Sciences and Social Sciences (12th Edition) by
Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen.
A graphing calculator or any scientific calculator with trigonometric functions and functions to
evaluate derivatives and integrals (TI - 83+, 86 or 89).
MAKE – UP TESTS AND LATE WORK


Late work evaluation is determined by the school policy
Retesting is not allowed in a dual credit class
WITHDRAWAL POLICY:
I do not “withdraw” students. That would be up to you. However, if you are considering
withdrawing from this course – I encourage that you see me first! Let’s talk about it. Perhaps
we can find a way to help you be successful!
Withdrawal from the course after the official day of record (see current catalog) will result
in a final grade of “W” on the student transcript and no credit will be awarded. It is the student’s
responsibility to initiate and complete a request for withdrawal from any course. Withdrawals are
processed only if the student completes and submits for signature(s) the required withdrawal
form(s) available from the Admission Office.
If you are considered a first-time college student, a new law was passed in Fall 2007 that
limits to six the number of courses you may drop (withdraw with a grade of "W") while enrolled
at any Texas public institution of higher education. A first time in college student is a student
not currently enrolled in high school and who has never taken a college or university course
anywhere at any time.
If you consider dropping this course during the semester, you might want to go to
advising prior to dropping and get more information about the Six-Drop Rule.
3
REFERENCE MATERIALS AND RESOURCES:
A number of resources are available to you in the Math Center, including free tutoring,
videotapes of individual topics, and other study aids. In addition, you are encouraged to find a
study partner or study group with which to study. I encourage you to visit me during office hours
or at other times for help or clarification of questions you may have.
MATH CENTER HOURS (TOMBALL)
Monday – Thursday 9:00 am – 8:00 p.m.
Friday 9:00 am – 2:30 p.m.
Saturday 11:00 am – 2:00 p.m.
MATH CENTER HOURS
(WILLOW CHASE CENTER)
Monday-Wednesday 9:00 a.m. to 9:00 p.m.
Thursday
9:00 a.m. to 3:00 p.m.
Friday
9:00 a.m. to 12 noon
Saturday
9:00 a.m. to 4:00 p.m.
Sunday
1:00 p.m. to 4:00 p.m.
CODE FOR ACADEMIC HONESTY:
The LSC System upholds the core values of learning: honesty, trust, respect, fairness,
and accountability. We promote the importance of personal and academic honesty. We
embrace the belief that all learners-students, faculty, staff and administrators-will produce their
own work and must give appropriate credit to the work of others. No fabrication of sources or
unauthorized collaboration is permitted on any work submitted within the System. Even
inadvertent cheating or plagiarizing must be avoided by careful documentation of other people’s
ideas and language. Please refer to the Academic Honesty and Student Success brochure for
more information. http://lonestar.edu/31695.pdf.
MATH SCHOLARSHIPS:
The LSC-Tomball Math Department offers six $500 Math Scholarships each
semester (Fall and Spring). To be considered for this scholarship, a student must: have
earned an "A" in the Math course most recently completed at LSC-Tomball; have a GPA of 2.5
or higher; be enrolled in at least 6 hours including a Math class at LSC-Tomball; and have
completed a LSC-Tomball Scholarship Application. There are two, $1,000 Math Excellence
Scholarships available to students majoring in a math-related field; maintaining a 3.0 GPA; and
having completed a LSC-Tomball Scholarship Application. Scholarship Applications may
be downloaded from the LSC-Tomball website. Scholarship applications are due April 1 for the
Fall semester; and October 1 for the Spring semester. If you have any questions, please
contact the Financial Aid Department.
ADA STATEMENT:
Check the LSC System Catalog for the statement concerning people with disabilities.
EQUAL OPPORTUNITY STATEMENT:
Check the LSC System Catalog for the statement concerning the equal opportunity principle.
GUARANTEED GRADUATE POLICY:
Check the LSC System Catalog for the statement concerning guarantees for graduates.
4
5