# Course Descriptions and Policies

__Math
Department General Policies; see your syllabus for
specific information__

__Student
Rights and Responsibilities__

**Mathematics
Course Sequence Flowchart**

**Math
Placement**

### Click below for a complete description of your course

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 graphs; solving systems of linear equations and inequalities; and applications.

Prerequisite: MAT0022 or MAT0028 or its 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; OR a documented decision by an SB1720 exempt student stating they have opted into college level classwork, intentionally bypassing any recommended developmental prerequisites.

MAT 1034 INTERMEDIATE ALGEBRA PART I (3)

**Learning Outcomes and Course Objectives for MAT1033**

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: MAT0018 with a “C” or better, OR the equivalent; or a documented decision in eSantaFe by an SB1720 exempt student that states they have intentionally chosen to opt out of any recommended prerequisites.

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

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

Learning Outcomes and Course Objectives for MAC1140

This course in combination with MAC1114 will prepare students to take the calculus sequence MAC2311, 2312, and 2313. The course includes an in-depth study of functions; polynomial, rational, algebraic, piecewise, logarithmic, and exponential functions; their properties, graphs, and applications; conic sections; non linear inequalities; binomial theorem; induction; matrices and determinants; sequences and series.

Prerequisite: MAC1105 or its equivalent

Prerequisite: MAC1105 or its equivalent

MAC1147 PRECALCULUS AND TRIGONOMETRY (5) P

Learning Outcomes and Course Objectives for MAC1147

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 their inverses; their properties, graphs, and applications; conic sections; non linear inequalities; binomial theorem; induction; matrices and determinants; sequences and series; trigonometric identities; conditional trigonometric equations; vector algebra; parametric equations; polar coordinates; and solutions of triangles.

Prerequisite: MAC1105 with a grade of “B” or better, OR the 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

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

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 differential equations; and the LaPlace transform.

**.**

Prerequisite: MAC2312 or its equivalent

Prerequisite: MAC2312 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

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

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: sets and Venn diagrams; inductive and deductive reasoning; counting principles; permutations and combinations; probability; descriptive statistics; logic; geometry; and an introduction to algebra.

Prerequisite: MAT1033 or MGF1100 or its equivalent

Prerequisite: MAT1033 or MGF1100 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.

Prerequisite: MAT1033 or its equivalent.

**STA 2023
INTRODUCTION TO STATISTICS (3) P
Learning Outcomes and Course Objectives for
STA2023**

The student is 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 or its equivalent

Prerequisite: MAT1033 or its equivalent

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