**Course Descriptions - Mathematics**

**MAT085 Essential Algebra I (3-0-3)**

Essential Algebra I prepares the student for the study of algebra. Numerical
topics include operations with numbers; simple powers and roots; factoring
of natural numbers; properties and order of operations; and real numbers.
The course introduces basic algebraic ideas as well as graphing in the
rectangular coordinate plane. Problem solving is stressed throughout the
course.
PR: recommendation based on placement test or equivalent
SCCC courses below the 100-level are developmental in nature and the
3 credit equivalents do not satisfy degree or certificate progam requirements.
All deveopmental courses are offered on a pass/fail basis.

**MAT095 Essential Algebra II (3-0-3)**

Essential Algebra II is a basic course in algebra. Topics include linear
equations in one and two variables, graphing solutions of equations,
polynomials and factoring, rational expressions and equations, and
quadratic equations.
PR: MAT 085, Equivalent preparation, or placement test scores
SCCC courses below the 100-level are developmental in nature and the
3 credit equivalents do not satisfy degree or certificate progam requirements.
All deveopmental courses are offered on a pass/fail basis.

**MAT118 Technical Math (3-0-3)**

This course stresses basic algebraic functions, functional notation,
trigonometric functions, exponential and logarithmic functions, exponents,
radicals, complex numbers, vectors and an introduction to statistics.
PR: MAT 095 or equivalent

**MAT124 Technical Discrete Math (3-0-3)**

This course stresses the discrete mathematics needed for career programs in
the technologies. Topics include sets, algorithms, truth tables, operations on
functions, arithmetic of matrices, logic circuits, permutations and combinations,
and trees. In addition, the course introduces the binary and hexadecimal
systems.
PR: Exemption from placement testing as defined by the Academic Code or
placement testing scores allowing bypass of MAT 095, or successful
completion of MAT 095

**MAT126 Descriptive Statistics (3-0-3)**

This practical statistics course focuses on simple
statistical presentations common to a variety of career
fields. The course focuses on the following topics:
descriptive vs. inferential statistics; organizing and describing data;
measures of central tendency; measures of variation;
measures of the position; the normal distribution with
applications; linear correlation, and regression.
Students are required to work with Excel spreadsheets and should
be comfortable using computers.
Note: Credit for this course does not satisfy the A.A. or
A.S. degree program requirements

**MAT128 Algebra I (3-0-3)**

This course focuses on the real number system,
polynomials, solving first degree linear equations, solving
linear inequalities in one variable, the Cartesian
Coordinate System, graphing linear equations by point
plotting, slope, equations of lines in general form and in
slope-intercept form, factoring polynomials, solving
polynomial equations by factoring and the zero property,
rational expressions, integer exponent and problem solving.
PR: CSS 120 or equivalent
F,S
Note: Credit for this course does not satisfy the A.A. or
A.S. degree program requirements

**MAT129 Algebra II with Trigonometry (4-0-4)**

This course focuses on functional notation, linear
functions, absolute value functions, quadratic
functions and equations, other basic algebraic functions and
the graphs of those basic algebraic functions with the
translations of those graphs. Also included are linear
equations and inequalities, methods of solving polynomial
equations, the basics of radicals and rational exponents,
the basics of exponential and logarithmic functions and
their graphs, geometry, and right triangle trigonometry.
PR: MAT 128
F,S
Note: Credit for this course does not satisfy the A.A. or
A.S. degree program requirements

**MAT145 Mathematical Topics (3-0-3)**

This course is designed to acquaint the student with
various areas of mathematics. Topics may include
mathematical systems, groups, logic,
truth tables, Euclidean and non-Euclidean geometries,
probability, statistics, and modeling with linear,
quadratic, exponential, and logarithmic functions.
PR: MAT 129 or equivalent

**MAT147 Statistics (3-0-3)**

This course focuses on the following topics: descriptive
statistics, an introduction to probability, random variables
and probability distributions, the binomial and normal
probability distributions, sampling, estimation, hypothesis
testing, chi-square distributions, linear correlation and
regression.
PR: MAT 129 or equivalent
F, S

**MAT148 College Algebra (3-0-3)**

This course concentrates on the application and analysis of algebraic
problems as they occur in a variety of disciplines. Topics include linear,
quadratic, exponential and logarithmic functions and models and an
introduction to regression analysis. Other topics include solution of
equations and inequalities, sequences and matrices. Methods of proof
such as algebraic derivation as well as the use of counterexamples to
disprove mathematical statements are explored.
PR: MAT 095 or equivalent

**MAT149 Topics in Finite Mathematics (3-0-3)**

This course introduces the student to topics in finite math with applications to
business, social sciences, and/or life sciences. Tolpics include functions, linear
functions and mathematical models, the Method of Least Squares, systems of
linear equations and matrices, linear programming, sets and counting,
probability, probability distributions, random variables, expected value, and
Markov chains.

**MAT154 College Algebra & Trigonometry (3-0-3)**

This course includes functions, functional notation, linear and quadratic functions, graphs of basic functions and graphing techniques such as shifts and reflections, constant slope and average rate of change, solving systems of linear and nonlinear systems, and constant slope and average rate of change, solving systems of linear and nonlinear systems, and complex numbers. The course also covers solving quadratic equations using factoring, the square root property and the quadratic formula, exponential and logarithmic equations and functions, trigonometric functions, the graphs of sine, cosine and tangent functions, and a brief introduction to vectors.
PR: Eligible to register for a 100 level math course

**MAT160 Discrete Structures (3-0-3)**

Topics in this course include sets, relations and functions,
equivalence relations, sequences, recursively defined
sequences, recursively defined sequences, recurrence
relations, logic, truth tables, techniques of mathematical
proof, mathematical induction, the Binominal Theorem,
counting techniques, and alorithms. Also covered are graph
theory and networks. Additional topics may include Boolean
algebras, partial orders, and Hasse Diagrams, or basic group
theory.
PR: MAT 129 or equivalent

**MAT167 Precalculus With Analytic Geometry (4-0-4)**

This course includes the following topics: functions,
inverse functions, polynomial functions, rational functions
exponential and logarithmic functions,
trigonometric functions, graphs, polar coordinates, analytic
geometry, systems of equations, sequences, and applications.
Enrichment topics permitted.
PR: MAT 129 or equivalent

**MAT180 Calculus I (4-0-4)**

This course, in the calculus of a single variable, includes,
limits, continuity, derivatives of algebraic and transcendental functions,
implicit differentiation, related
rates, the Mean Value Theorem, antiderivatives, definite
integral, and the Fundamental Theorem of Calculus. The course introduces
applications of differentiation such as curve sketching and optimiation problems as well as applications of integration such as area and average value.
PR: MAT 167 or equivalent

**MAT181 Calculus II (4-0-4)**

This course, in the calculus of a single variable, concerns
recognizing, analyzing, and calculating problems in the
following topic areas: the calculus of inverse trigonometric
functions, integration techniques, application of
integration, L'Hopital's Rule, improper integrals, infinite
sequences and series, plane curves, parametric equations,
polar coordinates, and polar curves.
PR: MAT 180 or consent of the department

**MAT210 Discrete Structures: Logic & Proof (3-0-3)**

This course provides an introduction to the non-continuous side of
mathematics. The course focuses on techniques of mathematical proof
including mathematical induction, direct proof,indirect proof, and proof by
contradiction. Topics include relations and functions, symbolic logic and
predicate calculus, number thoery, combinatorial methods as well as an
introduction to graph theory.
PR: MAT 180

**MAT222 Ordn Differential Equations (3-0-3)**

This course provides an introduction to ordinary differential equations. The course includes linear differential equations, systems of differential equations, series solutions, boundary value problems, existence theorems, Laplace transforms and applications to the sciences.
PR: MAT 181

**MAT240 Calculus III (4-0-4)**

Topics covered in this course include three-
dimensional analytic geometry, vectors, calculus of
functions of several variables, partial differentiation
and multiple integration. Additionally, The Fundamental
Theorem of Line Integrals and Green's Theorem, as well
as vector fields are covered.
PR: MAT 181

**MAT242 Linear Algebra (3-0-3)**

This course covers the following topics: vector spaces, the
structure of Rn, matrix algebra, systems of linear
equations, determinants, eigenvectors, eigenvalues,
eigenvectors, and applications. Linear transformations and
inner product spaces are also covered.
PR: MAT 180

**MAT244 Differential Equations (4-0-4)**

This course introduces students to techniques to solve
ordinary differential equations. Topics covered are first-
order differential equations and applications, higher-order
linear differential equations and applications, differential
equations with variable coefficients (power series), linear
differential equations with constant coefficients revisited
via Laplace transforms. In addition, the instructor may
choose to cover numerical methods or solutions around
singular points, Bessel and Legendre equations.
PR: MAT 181

Last Updated: 05/24/15 08:04pm ET