**Course Descriptions**

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**MAT 1033 INTERMEDIATE ALGEBRA (3)**

Learning Outcomes and Course Objectives for MAT1033

This course includes the study of quadratic equations, rational exponents and their properties, radicals, rational expressions and equations, factoring (review), graphing linear and quadratic functions and interpreting their graphs, solving systems of linear equations and inequalities, and applications.

**Prerequisite: MAT0055, MAT0056, or MAT0057 with a grade of A; or MAT0022 or MAT0028 with minimum grade of C, or equivalent.**

**MAT 1032 INTERMEDIATE ALGEBRA PART I (3)**

Learning Outcomes and Course Objectives for MAT1032

This course in an in-depth study of the first half of material covered in MAT 1033. The course includes a review of factoring, an introduction to functions, graphing linear functions and interpreting graphs, graphing systems of linear inequalities, applications, as well as an emphasis on math study skills.

**Prerequisite: MAT0055, MAT0056, or MAT0057 with a grade of A; OR MAT 0022 or MAT 0028 with a grade of C or better, OR the equivalent.**

**MAT 1034 INTERMEDIATE ALGEBRA PART II (3)**

Learning Outcomes and Course Objectives for MAT1034

This course is an in-depth study of the second half of material covered in MAT 1033. This course includes solving linear systems; the study of quadratic equations, rational exponents and their properties, radicals, rational expressions and equations; applications; a review of the first half of MAT 1033; as well as an emphasis on math study skills.

**Prerequisite: MAT1032 with a grade of C or better, OR the equivalent; or special permission after successfully completing the first half of MAT1033.**

**MGF 1100 MATH READINESS (3)**

Learning Outcomes and Course Objectives for MGF 1100

This course includes the study of problem-solving approaches, study skills and habits, finding patterns, sets of numbers and their properties, number sense, order of operations and arithmetic with signed numbers, inequalities in one and two variables, functions and interpreting graphs, solving linear equations, solving systems of linear equations graphically, and applications.

**Prerequisite: MAT0018 or its equivalent.**

#### The primary General Education Learning Outcome for the courses listed below is Quantitative Reasoning which means to understand and apply mathematical concepts and reasoning and analyze and interpret various types of data.

**MAC1105 COLLEGE ALGEBRA (3) P**

Learning Outcomes and Course Objectives for MAC1105

This course includes the study of relations; linear, quadratic, exponential, logarithmic, radical, absolute value, rational and polynomial functions, including their properties and graphs; radicals, exponents, complex numbers, and absolute values; and systems of equations and inequalities.

**Prerequisite: MAT1033, MAT1034 or its equivalent**

**MAC1114 TRIGONOMETRY (3) P**

Learning Outcomes and Course Objectives for MAC1114

The course in combination with MAC1140 will prepare students to take the calculus sequence MAC2311, MAC2312, and MAC2313. The course includes an in-depth study of the trigonometric functions, their properties and graphs; inverse trigonometric functions, their properties and graphs; trigonometric identities; conditional trigonometric equations; vector algebra; parametric equations; polar coordinates; solutions of triangles; and applications.

**Prerequisite: MAC1105 or its equivalent**

**MAC1140 PRECALCULUS ALGEBRA (3) P**

Learning Outcomes and Course Objectives for MAC1140

This course, in combination with MAC1114, will prepare students to take the calculus sequence MAC2311, MAC2312 and MAC2313. The course includes an in-depth study of functions; polynomial, rational, algebraic, piecewise, logarithmic, and exponential functions, including their properties, graphs, and applications; conic sections; nonlinear inequalities; binomial theorem; induction; matrices and determinants; and sequences and series.

Prerequisite: MAC1105 with minimum of C or its equivalent

**MAC1147 PRECALCULUS AND TRIGONOMETRY (5) P**

Learning Outcomes and Course Objectives for MAC1147

This course is an intensive review of both Precalculus Algebra and Trigonometry topics. It is designed as a rigorous preparation for serious STEM (Science, Technology, Engineering, Mathematics) students for the calculus sequence MAC2311, MAC2312 and MAC2313. The course includes an in-depth study of functions; polynomial, rational, algebraic, piecewise, logarithmic, exponential, trigonometric, and inverse trigonometric functions, including their properties, graphs, and applications; conic sections; nonlinear inequalities; the binomial theorem; induction; matrices and determinants; sequences and series; trigonometric identities; conditional trigonometric equations and parametric equations; vector algebra; polar coordinates; and solutions of triangles.

**Prerequisite: MAC1105 with a grade of B or better, OR its equivalent.**

**MAC2233 SURVEY OF CALCULUS (4) P**

Learning Outcomes and Course Objectives for MAC2233

This is a one semester survey course in calculus and is not a substitute for any course(s) in the calculus sequence. This course includes the study of functions; limits; continuity; derivatives of algebraic, logarithmic, and exponential functions; interpretations of the derivative; applications of derivatives to optimization, growth, decay, business and social science problems; integrals of algebraic, exponential, and logarithmic functions; introduction to methods of integration, including numerical estimation; applications of the integral.

**Prerequisite: MAC1105 or its equivalent**

**MAC 2311 CALCULUS 1 WITH ANALYTIC GEOMETRY (4) P**

Learning Outcomes and Course Objectives for MAC2311

This is the first of three courses in the calculus sequence. This course includes the study of limits; continuity, and derivatives for functions of one-variable including polynomial, rational, algebraic, piecewise-defined, logarithmic, exponential and trigonometric functions; applications of derivatives; introduction to integration including the Fundamental Theorem of Calculus; approximating techniques for derivatives and integrals.

**Prerequisites: MAC1140 and MAC1114, or MAC1147, or its equivalent**

**MAC 2312 CALCULUS 2 WITH ANALYTIC GEOMETRY (4) P**

Learning Outcomes and Course Objectives for MAC2312

This is the second of three courses in the calculus sequence. This course includes the study of applications of definite integral; numerical integration; techniques of antidifferentiation; improper integral and indeterminate forms; parametric and polar representation of plane curves; sequences and series.

**Prerequisite: MAC2311 or its equivalent**

**MAC 2313 CALCULUS 3 WITH ANALYTIC GEOMETRY (4) P**

Learning Outcomes and Course Objectives for MAC2313

This is the third semester in a three semester calculus sequence. This course includes the study of multivariable calculus, including partial derivatives, multiple integrals, and their applications, parametric curves and surfaces in 3-space, solid analytic geometry, and the calculus of vector-valued functions including line integrals and flux integrals.

**Prerequisite: MAC2312 or its equivalent**

**MAP 2302 ELEMENTARY DIFFERENTIAL EQUATIONS (3) P**

Learning Outcomes and Course Objectives for MAP2302

This course includes the study of first order differential equations, higher order linear differential equations, Laplace transforms, numerical methods, boundary value and initial value problems, qualitative analysis of solutions, and applications of differential equations.

**Prerequisite: MAC2312 with a minimum grade of C or its equivalent**.

**MAS 2103 LINEAR ALGEBRA (4) P**

Learning Outcomes and Course Objectives for MAS2103

This is a one semester introductory course in linear algebra. This course includes, but is not limited to, the study of systems of linear equations, matrices, determinants, vectors and vector space, linear transformations, eigenvalues and eigenvectors, and their applications. Computer software and graphing calculators will be used to enhance the learning and teaching of topics and techniques covered**.**

**Prerequisite: MAC2312 with a grade of "C" or better, or the equivalent****.**

**MAS 2202 INTRODUCTION TO NUMBER THEORY with APPLICATIONS (3) P**

Learning Outcomes and Course Objectives for MAS2202

The course is designed as an introduction to elementary number theory, suited for scientifically oriented students interested in mathematical enrichment. The course is essentially a project-based seminar designed to integrate mathematical principles with the use of technology to enhance the performance or real world application activities. Students are tasked to present specific topics and prove various ideas with mathematical rigor. The basic topics include: logic, Pythagorean triples; divisibility and the greatest common divisor; the fundamental theorem of arithmetic; congruence; Euler Phi function; the Chinese remainder theorem, Mersenne prime numbers; RSA public-key cryptosystems; introduction to cryptology and cryptology and cryptography; algorithms; and spreadsheets**.**

**Prerequisite: MAC1140 and MAC1114 with a grade of "C" or better in each; or MAC1147, or its equivalent****.**

**MGF 1106 TOPICS IN MATHEMATICS (3) P**

Learning Outcomes and Course Objectives for MGF1106

This course gives an overview of the various branches of mathematics and their development. Topics to be studied are inductive and deductive reasoning, sets and Venn diagrams, logic, geometry, counting principles, permutations and combinations, probability and descriptive statistics.

**Prerequisite: MGF1100 with a minimum grade of C, or MAT1033 or MAT1034 with a grade of D or better, or its equivalent.**

**MGF 1107 CONTEMPORARY MATHEMATICS (3) P**

Learning Outcomes and Course Objectives for MGF1107

The intent of this course is to present topics which demonstrate the beauty and utility of mathematics to the general student population. Along with MGF1106, it is designed as a terminal course for students who do not intend to take other mathematics courses.

**Prerequisite: MAT1033 or MGF1100 or its equivalent**

**MGF 1121 INTRODUCTION TO LOGIC (3) P**

Learning Outcomes and Course Objectives for MGF1121

This course is a study of the formal nature of human thought through an examination of informal fallacies, symbolic logic, categorical propositions and syllogistic argument.

**Prerequisite: MAT1033 or its equivalent.**

**STA 2023 INTRODUCTION TO STATISTICS (3) P**

Learning Outcomes and Course Objectives for STA2023

This is an introductory course in statistics. Students are introduced to the fundamental concepts involved in using sample data to make inferences about populations. Included are the study of measures of central tendency and dispersion, finite probability, probability distributions, statistical inferences from large and small samples, linear regression, and correlation.

**Prerequisite: MAT1033 and ENC1101 with a minimum grade of C or MGF1106 and ENC1101 with a minimum grade of C or MAC1105 with a minimum grade of C or its equivalent.**