### MATH073 : Introduction to Algebra Iâ€”Prealgebra

#### Credits

4#### Prerequisites

Placement Test score

Mathematics

First of two courses designed for students who need remediation in some areas of arithmetic and beginning algebra as demonstrated by the results of the Placement Test. Concentration is on developing reasoning and problem-solving skills while emphasizing powers and roots of whole numbers, significant digits, order of operations, integers, fractions, first degree linear equations, percents and their applications, polynomials and an introduction to SI units, ratio, proportion and factor analysis. Does not meet General Education requirement for Mathematics.

Placement Test score

Second of two courses designed for students who need remediation in some areas of arithmetic and beginning algebra as demonstrated by their results on the Placement Test. Concentration is on developing reasoning and problem skills. Major topics include exponents, factoring of polynomials, graphing, rational expressions, systems of equations in two variables, radicals and quadratic equations and their applications. Does not meet General Education requirement for Mathematics.

MATH073 with a grade of C or better or Placement Test score

This course is a self-paced course designed for students to work at their own pace with supplemental instruction and group lectures. This course is designed for students who need remediation in some areas of arithmetic and beginning algebra as demonstrated by placement test score. The concentration is on developing reasoning and problem-solving skills while emphasizing: powers, significant digits, order of operations, integers, fractions, first degree linear equations, percents and their applications, polynomials, ratio, proportion, exponents, factoring of polynomials, graphing, rational expressions, radicals, and quadratic equations and their applications. Completion is equivalent to completing both MATH073 and MATH074. Does not meet General Education requirement for Mathematics.

Placement Test score

One-semester course that is intended for students who are not mathematics or science majors. Concepts are introduced through examples with a strong emphasis on practical applications. Topics of study include critical thinking skills, sets, logic, systems of numeration, geometry, mathematical systems, consumer mathematics, probability, statistics, and graph theory. Students will be required to work with a calculator and a computer software program. Meets General Education requirement for Mathematics.

MATH073 or MATH099 with a grade of C or better or Placement Test score or SAT score (ESLN092 and ESLN100 may be taken concurrently with permission of instructor).

Includes properties of real numbers, equations, inequalities, linear functions, polynomial and rational functions, exponential and logarithmic functions, inverse functions, analyzing graphs of functions, systems of equations and complex numbers. Meets General Education requirement for Mathematics.

MATH074 or MATH099 with a grade of C or better or Placement Test score or SAT score (ESLN092 and ESLN100 may be taken concurrently with permission of instructor).

Includes equations and inequalities, relations, linear functions, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, inverse trigonometric functions, trigonometric identities and equations, applications of trigonometry, systems of equations and complex numbers. Students will be required to work with a graphing calculator and a mathematical software program. Meets General Education requirement for Mathematics.

MATH074 or MATH099 with a grade of C or better or Placement Test score or SAT score. (ESLN092 and ESLN100 may be taken concurrently with permission of instructor).

Includes linear equations and matrices, linear dependence and independence, determinants, dimension and basis of a vector space, linear transformations, inner product and cross product, orthogonality, eigenvalues and eigenvectors. Students will be required to work with a graphing calculator and a computer software program. Meets General Education requirement for Mathematics.

MATH155 with a C or better or Placement Test score or SAT score

Students study concepts and techniques that are fundamental to mathematics and computer science. Selected topics are explored in depth from areas of set theory, logic, Boolean algebra, number systems, combinatorics, graph theory, complexity of algorithms and data structure and representation.

MATH122 or MATH150 with a C or better or Placement Test score or SAT score

Topics of study include properties of functions and their graphs, properties and applications of limits, techniques of differentiation, applications of differentiation, techniques of integration, applications of integration, differentiation and integration of logarithmic and exponential functions, differentiation and integration of trigonometric and inverse trigonometric functions, applied optimization, differentials, and hyperbolic functions. Meets the General Education requirement for Mathematics.

MATH150 or equivalent with a grade of C or better; or Placement Test score or SAT score

Topics of study include applications of integration, integration techniques, indeterminate forms, improper integrals, sequences, series, conics, parametric equations and polar coordinates. Students will be required to work with a graphing calculator and a mathematical software program. Meets the General Education requirement for Mathematics.

MATH155 or equivalent with a grade of C or better

Includes frequency distributions and graphs, data description, counting techniques, probability, discrete probability distributions, the normal distribution, confidence intervals and sample size, hypothesis testing, analysis of variance, correlation and regression. Students will be required to work with a graphing calculator and a computer software program. Meets General Education requirement for Mathematics.

MATH073 or MATH099 with a grade of C or better or Placement Test score or SAT score. (ESLN092 and ESLN100 may be taken concurrently with permission of instructor).

Topics of study include vectors in the plane, analytic geometry three-dimensional space, vectors in three-dimensional space, differentiation and integration of vector-valued functions, functions of several variables, Lagrange multipliers, multiple integration, applications of multiple integrals, Jacobians, vector analysis, Green's Theorem, Divergence Theorem, and Stoke's Theorem. Students will be required to work with a graphing calculator and a mathematical software program. Meets the General Education requirement for Mathematics.

MATH156 or equivalent with a grade of C or better

Topics of study include first and higher order equations, phase portraits and stability, numerical methods, initial-value and boundary value problems. Students will be required to work with a graphing calculator and a computer software program.

MATH255 with a grade of C or better