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LINK-SYSTEMS INTERNATIONAL, INC.

Organization Directory Page

• Organization description

• Source of official student records

• Titles of evaluated learning experiences

• Descriptions and credit recommendations

Preparatory Courses
The two courses in this section have not been recommended for college credit. They are described here because they are a prerequisite for entrance into the courses in the next section and are comparable to the non-credit prerequisite courses offered by many colleges. Colleges may wish to consider either or both of these courses as suitable replacements to waive college preparatory courses, a placement examination, or to satisfy certain entrance requirements.

Basic Math (MAT 0002)
(formerly Pre-Algebra [MAT 1011])
Location:  Self-paced programmed instruction and proficiency examination program administered online by Link-Systems International.
Length:  Self-paced programmed instruction.
Dates:  June 2004 - Present.*
Objectives:    Add, subtract, multiply, divide, order, and simplify: whole numbers, integers, fractions, mixed numbers, and decimals; describe and be able to use the order of operations; solve word problems involving: percentage, addition, subtraction, multiplication, division, proportion, time, fractions, powers of ten; describe the relationship between fractions, decimals, and percents; find the perimeter of a rectangle and polygon; find the area of a rectangle and piecewise rectangular figure; find the volume of a rectangular solid; find the greatest common factor and least common multiple; find the absolute value of an integer and perform operations with absolute value; find the average of two numbers; evaluate expressions with exponents; identify and factor prime numbers; find the square root of a perfect square. 
Instruction:  This online self-paced course is intended for the pre-algebra student or the student wishing to review basic mathematical skills before studying the fundamentals of algebra.   Following completion of all elements of the course, student mastery is assessed through an online proctored examination.  Areas covered include addition, subtraction, multiplication and division, as applied to the structure of whole numbers, integers, fractions, mixed numbers, and decimals; introduction to geometry.  Specifically, the following lessons are addressed:  whole numbers: expanded form, numeral translation, addition, subtraction, multiplication, division, order of operations, rounding, ordering, and averaging, and factors and prime numbers; fractions: equivalent fractions, ordering, addition and subtraction, multiplication and division, and mixed numbers; decimal numbers: basics, conversion to and from fraction, addition and subtraction, and multiplication and division; proportions and percents; integers and signed numbers: integers, signed fractions and decimals, exponents, and radicals.
Credit recommendation:  *NOTE: This course has not been recommended for college credit.  It is described here because it, or prior knowledge commensurate with this learning experience, is a prerequisite for entrance into the courses in the next section and is comparable to a non-credit prerequisite course offered by many colleges. Colleges may wish to consider this learning experience or both experiences in this section as suitable replacements to waive college preparatory courses, a placement examination, or to satisfy certain entrance requirements (9/03). 

Beginning Algebra (MAT 0020)
(formerly Beginning Algebra [MAT 1022])
Location: Self-paced programmed instruction and proficiency examination program administered online by Link-Systems International.
Length: Self-paced programmed instruction.
Dates:  June 2004 - Present.*
Objectives:  Add, subtract, multiply, divide, order, and simplify real numbers; discuss the relationship between fractions, decimals, and percents; find the absolute value of an integer and perform operations with absolute value; evaluate linear expressions in two variables; discuss and use the addition and multiplication properties of equality; discuss and use the distributive property; write and solve linear equations and inequalities and systems of linear equations and inequalities, including those involving absolute value; plot and read points in the coordinate plane; find the x- and y-intercepts of a line: from its graph, given its equation in standard form; graph linear equations and inequalities and systems of linear equations and inequalities, including those involving absolute value; graph a vertical or horizontal line; determine the slope of a line: given its graph or given its equation; find the mean and median of a set of data; find the area of a rectangle and piecewise rectangular figure; find the perimeter of a rectangle and polygon; solve word problems involving: percentage, addition, subtraction, multiplication, division, proportion, time, fractions, powers of ten.
Instruction: This online self-paced course is geared toward students who have a thorough knowledge of arithmetic.  Following completion of all elements of the course, student mastery is assessed through an online proctored examination. Areas covered include real numbers and their properties, algebraic expressions, linear equations and inequalities and their applications, systems of equations and inequalities, linear graphing, introduction to statistics.  Specifically, the following lessons are addressed:  arithmetic prerequisites; real numbers: number systems, substitution and evaluation, algebraic symbols, data and graphs, properties of real numbers, solving linear equations: one occurrence of the variable and several occurrences of the variable; graphing linear equations: ordered pairs, graphing, and writing; inequalities and systems of equations: inequalities, absolute values, and systems of linear equations; applications: linear equations and systems of linear equations.  (Prerequisite: MAT 1011.)
Credit recommendation:  *NOTE: This course has not been recommended for college credit.  It is described here because it, or prior knowledge commensurate with this learning experience, is a prerequisite for entrance into the courses in the next section and is comparable to a non-credit prerequisite course offered by many colleges. Colleges may wish to consider this learning experience or both experiences in this section as suitable replacements to waive college preparatory courses, a placement examination, or to satisfy certain entrance requirements (9/03).

Courses Recommended for College Credit

Algebra for College Students (MAT 1033)
(formerly College Algebra [MAC 1105])
Location: Self-paced programmed instruction and proficiency examination program administered online by Link-Systems International.
Length: Self-paced programmed instruction.
Dates: December 2005 - Present.
Objectives: Use the rules of exponents and logarithms; translate logarithmic equations/graphs into exponential equations/graphs and conversely; solve exponential and logarithmic equations; add, subtract, and multiply matrices; find the determinant of 2x2 and 3x3 matrices; find the inverse of a matrix using Gauss-Jordan Elimination; use Cramer’s Rule to solve a system of linear equation; use an augmented matrix to solve a system of linear equations; identify the consistency and independence of a system of linear equations; add, subtract, multiply, divide, and simplify complex numbers; find the complex solution(s) of a quadratic equation; identify the domain and range of relations and functions; find the inverse of linear and rational functions; find the sum, product, quotient, and composition of two functions; graph a circle, parabola, ellipse, hyperbola, system of nonlinear inequalities, and integer function; translate the graph of a function: vertically, horizontally; sketch the graph of logarithmic, exponential, and rational functions; use the horizontal and vertical line tests; write the equation of a circle, given the center and an arbitrary point and given the endpoints of a diameter, comprehend set builder notation and find the union/intersection of sets; solve word problems involving: systems of linear equations and exponential equations. 
Instruction: This online self-paced course reviews standard topics of algebra.  Following completion of all elements of the course, student mastery is assessed through an online proctored examination. Areas covered include linear and quadratic equations, graphing, functions and functional notation, quadratic, rational, logarithmic and exponential functions, systems of equations and matrix algebra.  Specifically, the following lessons are addressed:  sets; relations; functions; matrices and systems of linear equalities; radicals and rational exponents; complex numbers; exponentials and logarithms; laws of logarithms; solving equations; graphing; conic sections; distance and midpoint formulas; graph of a parabola; graph of a circle; graph of an ellipse; graph of a hyperbola; systems of nonlinear equations.  (Prerequisites: Basic Math [MAT 0002], Beginning Algebra [MAT 0020], and Intermediate Algebra [MAT 1022], placement examination, or discretion of president of Link-Systems International.)
Credit recommendation:  In the lower division baccalaureate/associate degree category, 3 semester hours as College Algebra (college-level Mathematics) (9/03).

Intermediate Algebra (MAT 1022)
(formerly Intermediate Algebra [MAT 1033])
Location: Self-paced programmed instruction and proficiency examination program administered online by Link-Systems International.
Length: Self-paced programmed instruction.
Dates: December 2005 - Present.
Objectives:  Add, subtract, multiply, divide, and simplify polynomials and rational and radical expressions; find the degree of a multivariate polynomial; find the least common multiple and greatest common factor of two monomials; describe and use the rules of exponents; complete the square; factor polynomials; solve equations involving radicals and rational expressions; solve quadratic inequalities; describe and use the Quadratic Formula; find the distance between two points in the coordinate plane; describe and use the Pythagorean Theorem; graph a parabola and quadratic inequality; write numbers in scientific notation; write a quadratic equation given the roots and the leading coefficient; solve word problems involving: direct and inverse variation, proportion, and quadratic equations. Instruction: This online self-paced course is geared toward students who have a thorough knowledge of arithmetic.  Following completion of all elements of the course, student mastery is assessed through an online proctored examination. Areas covered include operations with polynomials, solving equations, factoring, fractional and radical expressions, and solving and graphing quadratic equations and inequalities.  Specifically, the following lessons are addressed:  exponents and polynomials; factoring: quadratic polynomials, special formulas, and multivariable polynomials; rational expressions: simplifying expressions, solving equations, and direct and inverse variations; radicals and rational exponents: simplifying expressions and solving equations; quadratic equations: solving equations and graphing.  (Prerequisites: Basic Math [MAT 0002] and Beginning Algebra [MAT 0020], placement examination, or discretion of president of Link-Systems International.)
Credit recommendation:  In the lower division baccalaureate/associate degree category, 3 semester hours as an elective or in selected fields of study (9/03). NOTE: This course is not recommended to meet the usual college-level Mathematics requirement.

Introduction to Statistics (MAC 1155)
 Location:  Self-paced programmed instruction and proficiency examination program administered online by Link-Systems International.
Length:  Self-paced programmed instruction.
Dates:  December 2005 - Present.
Objectives:  Summarize data using frequency tables and graphs; calculate the mean, median, mode, variance, and standard deviation; discuss the relationship between probability and statistics; calculate the probability of a given event which is a realization of a random variable having a: binomial distribution, normal distribution; use normal distribution to approximate a binomial distribution; apply the theory of sampling distributions; find large and small sample confidence intervals; perform large and small sample hypothesis tests; employ the chi-square distribution; test two sets of data using the F-distribution; use  basic concepts of analysis of variance; utilize techniques of linear regression; complete the sign test.
Instruction:  In this online self-paced course principles of both descriptive and inferential statistics are discussed, illustrated and applied in situations close to most students’ experience.  The mathematics involved requires that students have a proficiency in algebra.  Following completion of all elements of the course, student mastery is assessed through an online proctored examination.  Areas covered include the nature and implication of basic principles of statistics and how they play an important role in our daily lives, organizing and summarizing data, and representing graphically the important information contained in a data set, and the basic properties of probability. Specifically, the following lessons are addressed:  descriptive statistics: graphical displays and descriptive measures; probability: counting, events and probability and conditional probability; random variables: one random variable and two random variables; distributions:  fundamental distributions and central limit theorem; inferential statistics: confidence intervals, hypothesis tests, ANOVA, and goodness-of-fit and non-parametric tests; correlation and regression: correlation and simple linear regression and multiple regression; time series and quality control.  (Prerequisites: Basic Math [MAT 0002], and Beginning Algebra [MAT 0020], Intermediate Algebra [MAT 1022], placement examination, or discretion of president of Link-Systems International.)
Credit recommendation:  In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics (9/03).

Precalculus (MAC 1147)
Location:  Self-paced programmed instruction and proficiency examination program administered online by Link-Systems International.
Length:  Self-paced programmed instruction.
Dates:  December 2005 - Present.
Objectives:  Use the properties of real and complex numbers; perform defined operations on matrices, vectors, complex numbers, rational and radical expressions, linear functions, trigonometric functions and their inverses, and sets; write and solve equations and systems including: linear and nonlinear, exponential and logarithmic, radical and rational expressions, trigonometric, circles, parabolas, ellipses, hyperbolas; identify the domain and range of relations and functions; find and graph the inverse of relations and one-to-one functions; graph a linear equation, inequality, circle, parabola, ellipse, and hyperbola; sketch the graphs of rational, exponential, logarithmic, and trigonometric functions; convert between degree-minute-second and decimal degrees, degree and radian measure, complex number and trigonometric form, rectangular and polar coordinates, rectangular and polar equations; evaluate factorial expressions and finite sums; find the inverse and determinant of 2x2 and 3x3 matrices; plot a point in polar coordinates; find the trigonometric value of an angle: given a point on its terminal side or given its quadrant or using sum and difference formulas; identify coterminal, complementary, and supplementary angles; recall common trigonometric and inverse trigonometric values, trigonometric identities, and trigonometric ratios of a right triangle; solve a triangle using laws of sines and cosines; use rules of exponents and logarithms; solve application/word problems involving right triangle trigonometry, sequences and series, permutations and combinations, systems of linear equations and inequalities, linear programming, direct and inverse variation, and exponential equations. 
Instruction:  This is an online self-paced intensive course in algebra and trigonometry.  Following completion of all elements of the course, student mastery is assessed through an online proctored examination.  Areas covered include functions and their graphs, exponential and logarithmic functions, trigonometric identities and equations, sequences and series, and applications.  Specifically, the following lessons are addressed: sets, relations, and functions; polynomials, rational expressions and functions, and radical expressions; exponential and logarithmic expressions: laws of logarithms, solving equations and graphing; trigonometry: angles, trigonometric values, trigonometry functions, inverse trigonometric functions, trigonometric equations, law of sines and cosines, and trigonometric identities; complex numbers, vectors, and polar coordinates; linear equations and matrices: number system, absolute value, and line segment, systems of linear equations, and matrices; sequences and series; permutations and combinations; conic sections: circles, parabola, ellipses, and hyperbolas.  (Prerequisites: Basic Math [MAT 0002, Beginning Algebra [MAT 0020], and Intermediate Algebra [MAT 1022], placement examination, or discretion of president of Link-Systems International.)
Credit recommendation: In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics if Algebra for College Students (MAT 1033) is also successfully completed or 5 semester hours without Algebra for College Students (9/03).

Updated 4/17/08

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