Dr. Leveille leveillen@uhd.edu 713-221-2723 (office S748)
http://cms.uhd.edu/Faculty/LeveilleN
Fall 2009 Office Hours: MW 9:45-10:30am(from A610); 5:15-5:45pm(from A628);
TR 2:15-2:45pm(from A607); 5:15-5:45pm(from A628)
Course Syllabus for: MATH 1305 – 11303 (3 credit hours) at 8:30-9:45am MW in A610
Catalog Description: Graphs and functions, vectors, matrices, linear programming using the simplex method, mathematics of finance, and an introduction to probability with applications to business, economics and the social sciences.
Prerequisites: A grade of “C” or better in MATH 1301 or placement by exam.
This course with a C, or better, is one of the prerequisites for STAT 3309.
Purpose: This course provides the student with some of the standard mathematical models and techniques needed to make quantitative decisions about “real-life” problems that arise in business, economics, and the social sciences.
Learning Outcomes: At the completion of the course, the student should be able to:
1. |
Perform operations with matrices and apply matrix methods to solve systems of linear equations. |
2. |
Solve a linear programming problem by graphical methods as well as by the simplex method. |
3. |
Compute compound interest and annuities, including present and future values. |
4. |
Know and use various counting principles such as the Fundamental Principle of Counting, permutation, combinations, and basic probability. |
Textbook: College
Mathematics, 11^{th} Edition by Barnett, Ziegler, and Byleen, Prentice Hall, 2008,
MyMathLab Access Kit, Pearson Prentice Hall,
Textbooks available in the UHD bookstore are bundled with a student access code
for MyMathLab which is a comprehensive mathematics
program that algorithmically generates and automatically grades online
homework/quizzes. With your code you will access assignments for your course
using the directions on the hardcopy handout. The code provides online access
to a complete electronic version of the text. Through the UHD Portal, http://www.pearsoncustom.com/tx/uhd_math
, students have access to all Pearson student services as well as current
course materials and review materials for prerequisite courses.
Resource Material: The student has access to the Math Lab (N-925) where (s)he may work independently or with a tutor on mastering the required skills. The Math Lab, staffed by mathematics faulty, provides free tutorial services, video tapes, and computers with web access for use by any student who is enrolled in a Math 1305 course at UH-Downtown.
Course Content:
UNITS (Total time – 39 hours) |
TEXT REFERENCE |
Unit I – Math of
Finance (7 hours) The unit begins with a brief discussion of simple interest followed by a more detailed discussion of compound interest and effective interest rates. Future and present value of an annuity are then presented, along with a discussion of sinking fund payments and amortization payments. |
Sections 3.1 – 3.4 |
Unit II – Matrix
Theory (11 hours) A review of the solution of systems of linear equations with two variables using algebraic methods. Next, matrices are introduced as a means of solving linear systems. Gauss-Jordan Elimination for solving linear systems of equations is then presented. The basic operations of matrices, including multiplication of matrices, are introduced. Matrix inverses and finding solutions of linear systems using the inverse of the coefficient matrix follow. |
Sections 4.1 – 4.6 |
Unit III – Linear
Programming (11 hours) This unit begins with a review of graphing systems of linear inequalities with two variables. Linear programming models and the solution of linear programming problems by the graphical method are then introduced. A discussion of cases in which the graphical method is not suitable (i.e., 3 or more variables) may be made to lead into the simplex method for solving maximization and minimization linear programming problems. A discussion of the formation of the dual linear programming problem is presented. |
Sections 5.1 – 5.3 Sections 6.1 – 6.3 |
Unit IV – Counting
Principles and Probability (10 hours) This unit contains discussion of sets, counting techniques such as the addition principle and the multiplication principle, and permutations and combinations. It also contains sample spaces, events and probability, including union, complement, odds, conditional probability, and the product rule of independent events. |
Sections 7.2 – 7.4 Sections 8.1 – 8.3 |
STATEMENT ON REASONABLE ACCOMMODATIONS: UHD adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with disabilities. Students covered by the Americans with Disabilities Act should register for services in S409 (713-221-8430) and contact me in a timely manner to arrange for appropriate accommodations.
GENERAL UNIVERSITY POLICIES: all students are subject to the University of Houston-Downtown’s Academic Honesty Policy and to all other university-wide policies and procedures as they are set forth in the UHD Catalog and Student Handbook.
EVALUATION:
Title Value Due Date
Test I 1/6 W, September 9^{th}
Test II 1/6 W, October 7^{th}
Test III 1/6 W, November 11^{th}
Time and Effort 1/6 daily
MyMathLab: online
Etc.: attendance, class work, and hardcopy homework*
Comprehensive Final Exam 1/3 W, December 16^{th} at 8:30-11am
Note: NO make-ups will be
given. YOU are expected to come to every
class, be on time, take notes, read the textbook corresponding to the class
material, and complete the MyMathLab online
assignments. If you miss a test, see me as soon as possible. (I will do your
current average and we can discuss your options.) You will take the test as a required “Etc. points”
assignment.
There are no classes September 7, November 25-29. Pass in
a bluebook by the last day of class, December 2^{nd}, if you want scrap
paper on the final.
*Hardcopy Homework to be passed in on day of appropriate test:
Chapter 3 Review PP171-174 #1-12, 15, 19, 21, 23, 27,
31, 35,37,41,45,46
Chapter 4 Review PP254-257 #1,3,4,5,7,13,15-23, 25,
26B,27,40,41,44A,B,45,46
Chapter 5 Review PP289-290
#1,2,3,4,5,6,7,8,9,10,11,12,14A,15
Chapter 6 Review PP347-349 #1,2,3,5,6,7,8,9,10,11,12,13,14
Chapter 7 Review (online only)
Chapter
8 Review (online only)
:)