**APPENDIX
A**

**MRSG
1010 COURSE SYLLABUS**

INTER AMERICAN UNIVERSITY OF PUERTO RICO

PONCE CAMPUS

DEPARTMENT OF SCIENCE AND TECHNOLOGY

COURSE SYLLABUS

FALL 2000

I. General Information about the Course:

Name: |
Mathematical Reasoning |

Code: |
MRSG 1010 |

Credit Hours: |
Three (3) |

Prerequisites: |
A score no lower than the level established by the University in the mathematics achievement test of the College Entrance Examination Board or its equivalent. Students whom performance is lower than the level established by the University, should take first a mathematics basic skills course. MRSG 1010 is a core course. |

II.
Course
Description:

It is focused in the application of the mathematical
reasoning to outline procedures in order to solve problems. Estimation use, interpretation of graphs,
equation solving and statistics. The
study of the first level equations with one and two variables, systems of
linear equations and their graphs, finance mathematics, representation of
numeric information through graphs, measures of central tendency. It is emphasized the use of the calculator
as important tool to work.

III.
General
Objectives:

1.
To describe the
terminology and the mathematics concepts introduced in the course.

2.
To use the
calculator in a correct and appropriate way.

3.
To organize,
represent, and interpret numeric information through equations, tables, and
graphs.

4.
To solve linear
equations in one or two variables in the set of real numbers.

5.
To apply
strategies and mathematical techniques to solve problems of the daily life.

6.
To appraise the
utility of mathematics in sciences, business, technology and arts.

IV.
Course Content:

Chapter 1 Basic Concepts

1.3 Properties of real numbers and operations

1.4 Order of operations

Chapter 2 Equations and Inequalities

2.1 Solution of linear equations

2.2
Formulas

2.3
Applications to
algebra

2.4
Additional
application problems

2.5
Solution of
linear inequalities

2.6
Solution of
equations and inequalities with absolute values

First Exam

Chapter 3 Graphs and functions

3.1
The system of the
Cartesian coordinates, distance formula between points, and mid point formula

3.2
Graphs of linear
equations

3.3
Forms of the
linear equations: slope-y axes intercept and point-slope.

3.4
Relations and functions

3.5
Linear functions
and not linear

Chapter 4 Systems of linear equations and
inequalities

4.1
Solution of
systems of linear equations

4.2
Systems of linear
equations of third order

4.3
Applications to
the systems of linear equations

4.4
Solution of
systems of linear equations through determinants and Cramer Rule

4.5
Solution of
systems of linear equations through matrixes.

Second Exam

Chapter 5 Polynomials and polynomials functions

5.1
Exponents and
scientific notation

5.2
More about
exponents

5.3
Addition,
difference and multiplication of polynomials

5.4
Division of
polynomials

5.5
Polynomial
functions

Chapter 6 Factorization

6.1
Factorization by
grouping

6.2
Factorization of
trinomials

6.3
Formulas of
special factorizations

6.4
Solutions of
equation through factorization

Third Exam

Problem solving

Strategies for problem solving

Definition of statistics, population and sample

Measures of central tendency

Measures of dispersion

Finance Mathematics

Fourth Exam

V.
Evaluation

Four
exams
...400

Final exam
100

Special
Assignments
.100

Total
Score
600

VI.
Resources and
materials

a. Textbook

Angel, A.
R. (2000). __Αlgebra Intermedia__ [Intermediate Algebra]. Fourth Edition. Mexico:
Prentice Hall Hispanoamericana, S.A.

b. Supplementary Book:

Rodrνguez-Ahumada,
J. G., et al. (2000). __Razonamiento Matemαtico, Fundamentos y Aplicaciones__
[Mathematical Reasoning: Fundaments and Applications]. Second Edition. Mexico: International
Thompson Editores, S.A.

c. Equipment

It is
strongly recommended that students bring daily to the classroom a calculator
(scientific or graphic) with statistical functions. It is suggested the TI-83 Plus from Texas Instruments.