MRSG 1010 COURSE SYLLABUS
INTER AMERICAN UNIVERSITY OF PUERTO RICO
DEPARTMENT OF SCIENCE AND TECHNOLOGY
I. General Information about the Course:
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
2.3 Applications to algebra
2.4 Additional application problems
2.5 Solution of linear inequalities
2.6 Solution of equations and inequalities with absolute values
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.
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
Strategies for problem solving
Definition of statistics, population and sample
Measures of central tendency
Measures of dispersion
Four exams ...400
Final exam 100
Special Assignments .100
Total Score 600
VI. Resources and materials
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.
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.