Document 15276888

advertisement
SOUTHWEST COLLEGE –STAFFORD CAMPUS
Department of Mathematics
MATHEMATICS FOR BUSINESS & SOCIAL SCIENCES : Course Syllabus
Math 1324, CRN # 46693
SPRING 2015 Mon Wed: 11:00AM – 12:30PM Room: SW Hub
INSTRUCTOR
Ernest Nwachukwu
CONTACT PHONE #
EMAIL ADDRESS
(713) 718 7770
Ernest.Nwachukwu@hccs.edu
Office Hour:
Mon, Wed: 2:30pm – 3:30pm
Catalog Description: MATH 1324 Mathematics for Business & Social Sciences.
The application of common algebraic functions, including polynomial, exponential,
logarithmic, and rational, to problems in business, economics, and the social sciences are
addressed. The applications include mathematics of finance, including simple and
compound interest and annuities; systems of linear equations; matrices; linear
programming; and probability, including expected value. 3 credit (3 lecture).
Prerequisite: A grade of C or better in Math 0312 or its equivalent or Meet TSI
college-readiness standard for Mathematics.
Course Intent: This course is intended for students majoring in liberal arts and
secondary education.
Audience: Students who are enrolled in the business area may take this course
as an elective in order to obtain a broader background in the technique of linear
programming and to further expand their mathematical knowledge.
Math 1324
Textbook: Mathematics with Applications by Margaret L. Lial, Thomas W.
Hungerford, &John
Holcomb
Publisher:
Addison-Wesley
10th Edition
Student Learning Outcomes
Course Objectives
1.1 Be able to graph systems of linear equations in two
variables.
1.2 Be able to solve systems of linear equations using
Gauss-Jordan elimination.
1.3 Know how to add, subtract, and multiply matrices.
1.4 Be able to find the inverse of a square matrix.
1.5 Be able to graph systems of linear inequalities in
two variables.
1. Solve business / financial problems
by the use of systems of equations,
systems of inequalities, and
matrices.
2. Formulate and solve linear programming
problems by graphing and the Simplex
Method.
3. Analyze information and make
conclusions based on set data.
2.1 Know the graphical method for solving a linear
programming problem.
2.2 Know the simplex method for solving standard
maximization and standard minimization problems.
3.1 Be able to perform the basic set operations.
3.2 Be able to use the multiplication principle of
counting.
3.3 Understand permutations and combinations.
3.4 Be able to use the basic counting techniques.
4.1 Understand conditional probability.
4.2 Be able to use Bayes’ Formula.
4.3 Be able to find expected values.
4.4 Be able to find the standard deviation of a set of
values.
4.5 Be able to find the binomial distribution and the
normal distribution of a set of data.
4. Comprehend, analyze, and synthesize
statistical data in order to make
predictions.
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.
Home Work policy:
Assignments will given every day but usually will not be collected. For a
student to get the best out of this class, it is very important that the student
2
Math 1324
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. 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.
Textbook: MATHEMATICS WITH APPLICATIONS; 1 0 TH Edition; Lial
& Hungerford.Addison Wesley
Withdrawal Policy:
If you plan on withdrawing from your class, you MUSTcontact a HCC counselor or your
professor prior to withdrawing (dropping) the class for approval and this must be done
PRIOR to the withdrawal deadline to receive a “W” on your transcript. **Final withdrawal
deadlines vary each semester and/or depending on class length, please visit the online
registration calendars, HCC schedule of classes and catalog, any HCC Registration
Office, or any HCC counselor to determine class withdrawal deadlines. Remember to
allow a 24-hour response time when communicating via email and/or telephone with a
professor and/or counselor. Do not submit a request to discuss withdrawal options less
than a day before the deadline. If you do not withdraw before the deadline, you will
receive the grade that you are making in the class as your final grade.
3
Math 1324
Repeat Course Fee:
The State of Texas encourages students to complete college without having to repeat
failed classes. To increase student success, students who repeat the same course more
than twice, are required to pay extra tuition. The purpose of this extra tuition fee is to
encourage students to pass their courses and to graduate. Effective fall 2006, HCC will
charge a higher tuition rate to students registering the third or subsequent time for a
course. If you are considering course withdrawal because you are not earning passing
grades, confer with your instructor/counselor as early as possible about your study habits,
reading and writing homework, test taking skills, attendance, course participation, and
opportunities for tutoring or other assistance that might be available.
Classroom Behavior:
As your instructor and as a student in this class, it is our shared responsibility to develop
and maintain a positive learning environment for everyone. Your instructor takes this
responsibility very seriously and will inform members of the class if their behavior makes it
difficult for him/her to carry out this task. As a fellow learner, you are asked to respect the
learning needs of your classmates and assist your instructor achieve this critical goal.
Academic Honesty:
A student who is academically dishonest is, by definition, not showing that the coursework
has been learned, and that student is claiming an advantage not available to other
students. The instructor is responsible for measuring each student's individual
achievements and also for ensuring that all students compete on a level playing field.
Thus, in our system, the instructor has teaching, grading, and enforcement roles. You are
expected to be familiar with the University's Policy on Academic Honesty, found in the
catalog. Students are responsible for conducting themselves with honor and integrity in
fulfilling course requirements. Penalties and/or disciplinary proceedings may be initiated by
College System officials against a student accused of scholastic dishonesty.
Resources and Supplemental instruction:
Any student enrolled in Math 1324 at HCC has access to the tutoring labs
where they may get additional help in understanding the theory or improving
their skills. The math tutoring labs are staffed with student assistants who can
aid students with math problems. Another helpful resource is the student
solutions manual that may be purchased in the bookstore.
Students with Disabilities:
Students who require reasonable accommodations for disabilities are encouraged to
report to Dr. Becky Hauri at 713-718-7910 to make necessary arrangements. Faculty is
only authorized to provide accommodations by the Disability Support Service Office.
4
Math 1324
Use of Camera and/or Recording Devices:
As a student active in the learning community of this course, it is your responsibility to be
respectful of the learning atmosphere in your classroom. To show respect of your fellow
students and instructor, you will turn off your phone and other electronic devices, and will
not use these devices in the classroom unless you receive permission from the instructor.
Use of recording devices, including camera phones and tape recorders, is prohibited in
classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or
testing occurs. Students with disabilities who need to use a recording device as a
reasonable accommodation should contact the Office for Students with Disabilities for
information regarding reasonable accommodations.
Martin Luther king, Jr. Observance Holiday
January 19, 2015
Presidents Day Holiday
February 16, 2015
Spring Break
March 16-March 22, 2015
Last Day to Drop Classes
March 24, 2015
Course Outline:
UNIT I
Algebra Review
2.1 Graphs
2.2 Equations of Lines
UNIT II
Nonlinear Functions
3.4 Quadratic Functions
3.7 Rational Functions
4.1 Exponential Functions
4.3 Logarithmic Functions
4.4 Logarithmic and Exponential Equations
UNIT III
Systems of Linear Equations
6.1 Systems of Linear Equations
6.2 The Gauss-Jordan Method
6.3 Applications of Systems of Linear Equations
6.4 Basic Matrix Operations
5
Math 1324
6.5 Matrix Products
UNIT IV
Linear Programming
7.1 Graphing Linear Inequalities in Two Variables
7.2 Linear Programming: The Graphical Method
7.3 Applications of Linear Programming
7.4 The Simplex Method: Maximization
7.5 Maximization Applications
UNIT V
Sets and Probability
8.1 Sets
8.2 Applications of Venn Diagrams
8.3 Introduction to Probability
8.4 Basic Concepts of Probability
8.5 Conditional Probability and Independent Events
UNIT VI
Counting, Probability Distributions, and Further Topics in Probability
9.1 Probability Distributions and Expected Value
9.2 The Multiplication Principle, Permutations, and Combinations
9.3 Applications of Counting
9.4 Binomial Probability
UNIT VII
Mathematics of Finance
5.1 Simple Interest and Discount
5.2 Compound Interest
5.3 Annuities, Future Value, and Sinking Funds
5.4 Annuities, Present Value, and Amortization
MATH 1324: Mathematics for Business
6
Course Objectives
Math 1324
& Social Sciences
Student Learning Outcomes
1. Solve business / financial problems
by the use of systems of equations,
systems of inequalities, and
matrices.
1.1 Be able to graph systems of linear equations in
two variables.
1.2 Be able to solve systems of linear equations
using Gauss-Jordan elimination.
1.3 Know how to add, subtract, and multiply matrices.
1.4 Be able to graph systems of linear inequalities in
two variables.
2. Formulate and solve linear
programming problems by graphing
and the Simplex Method.
2.1 Know the graphical method for solving a linear
programming problem.
2.2 Know the simplex method for solving standard
maximization and standard minimization problems.
3. Analyze information and make
conclusions based on set data.
3.1 Be able to perform the basic set operations.
3.2 Be able to use the multiplication principle of
counting.
3.3 Understand permutations and combinations.
3.4 Be able to use the basic counting techniques.
4. Demonstrate fundamental probability
techniques and application of those
techniques, including expected value, to solve
problems.
4.1 Understand conditional probability.
5. Apply elementary functions, including linear,
quadratic, polynomial, rational, logarithmic,
and exponential functions to solving real-world
problems.
5.1 Apply matrix skills and probability analyses to
model applications to solve real-world problems.
6. Solve mathematics of finance problems.
6.1 Compute interest, annuities, and amortization of
loans.
4.2 Be able to find expected values.
4.3 Be able to find the binomial distribution.
Disclaimer: The rules, policies, terms and guidelines of this syllabus are subject to
change and may be updated, corrected, or modified by the instructor, at any time, due to
unforeseen circumstances, and changing needs of the class. The student shall be notified
of any such changes in the provisions of this document.
7
Download