# Course Descriptions

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Course Descriptions

## Mathematics Course Descriptions

#### MAT 096   Pre-Algebra ...  4

Prerequisites: Placement in MAT 096.

Topics include percents, conversions, area and volume, signed numbers, algebraic expressions, linear equations, statistical graphs, mean, median, mode and their applications. Pass/fail course; does not count toward graduation.

#### MAT 098   Beginning Algebra ...  4

Prerequisites: Grade of "P" (pass) in MAT 096 or placement in MAT 098.

Topics include linear equations and inequalities, quadratic equations, operations on polynomials, exponent properties, factoring, Pythagorean Theorem, operations on rational expressions, graphs of points and linear equations, systems of two equations in two variables, square roots and applications.

#### MAT 098C   Beginning Algebra (combined track) ...  4

Prerequisites: Grade of "P" (pass) in MAT 096 or ASMNT MAT 098.

Topics include linear equations and inequalities, solving quadratic equations by factoring, operations on polynomials, exponent properties, factoring, Pythagorean Theorem, operations on rational expressions, graphs of points and linear equations, slope, writing the equations of lines, relationship between graph and equation of first-degree equations, and applications.

#### MAT 105   Applied Math ...  3

Prerequisites: Grade of P (pass) in MAT 096 or ASMNT MAT 098.

For career students to develop quantitative reasoning skills. Includes basic logic, financial decision-making, probability, statistical reasoning, linear and exponential modeling, and right triangle applications. Relevance of mathematics discussed as it relates to other disciplines.

#### MAT 108   Understanding K-8 Mathematics ...  3

Prerequisites: Grade of P (pass) in MAT 096 or ASMNT MAT 098.

Basic concepts of the K-8 math curriculum. Concepts experienced through multiple representations ? numerically, algebraically, geometrically, and verbally.

#### MAT 121   Intermediate Algebra ...  4

Prerequisites: Grade of C or better in MAT 098, MAT 098C or placement in MAT 121.

Topics include linear, quadratic, absolute value, rational, exponential, and radical forms and related expressions, equations, inequalities, and applications; relationship between graph and equation of first/second degree and exponential functions; systems of equations in two or three variables; and equations and graphs of circles.

#### MAT 121C   Intermediate Algebra (combined track) ...  4

Prerequisites: Grade of C or better in MAT 098, MAT 098C, or ASMNT MAT 121.

Topics include linear, quadratic, absolute value, exponential, and radical forms and related expressions, equations, inequalities and applications; relationship between graph and equation of first/second degree and exponential functions; systems of equations in two or three variables; and equations and graphs of circles.

#### MAT 122   Euclidean Geometry ...  3

Prerequisites: Grade of C or better in MAT 098 or ASMNT MAT 121.

Study of geometrical properties and formal Euclidean proofs developed from definitions, postulates, theorems, and corollaries. Topics include intersecting and parallel lines, triangles, quadrilaterals, circles, area and volume, and coordinate geometry.

#### MAT 150   Trigonometry ...  3

Prerequisites: Grade of C or better in MAT 121 or ASMNT MAT 160.

Grade of C or better in MAT 160 College Algebra strongly recommended. Study of trigonometric functions and applications. Topics include angles, length of arc, trigonometric functions, law of cosines, law of sines, identities, trigonometric equations, inverse trigonometric functions, complex numbers, and polar coordinates. Students may not receive credit for both MAT 150 and MAT 171.

#### MAT 160   College Algebra ...  4

Prerequisites: Grade of C or better in MAT 121 or ASMNT MAT 160.

Designed for students in transfer programs. Topics include linear and quadratic equations and inequalities; complex numbers and solution of higher degree polynomial equations; systems of linear equations; matrices; graphing functions including exponential, logarithmic, and rational polynomial functions; conic sections; sequences, and series. Students may not receive credit for both MAT 160 and MAT 171.

#### MAT 165   Contemporary College Math ...  3

Prerequisites: Grade of C or better in MAT 121 or ASMNT MAT 160.

Provides appreciation of mathematics and understanding of role of mathematics in today's society. Topics include history of mathematics, math in humanities and social sciences, consumer math, logic, set theory, algebra, geometry, trigonometry, probability, and statistics.

#### MAT 171   Pre-Calculus Mathematics ...  6

Prerequisites: Grade of B or better in MAT 121 or ASMNT MAT 171.

Unified study of College Algebra and Trigonometry provides necessary background for Calculus. Includes linear, quadratic, rational, and higher degree polynomial equations and inequalities; systems of equations; relations and functions along with graphs and equations; exponentials and logarithms; inverse; degree and radian measure; trigonometric functions; identities; triangles; vectors; polar coordinates; complex numbers; matrices and determinants; sequences and series; binomial theorem; mathematical induction; and applications. Students may not receive credit for MAT 171 and either MAT 150 and MAT 160. Students not planning to take Calculus may satisfy mathematics requirement for A.A. degree with MAT 160 or MAT 165 in lieu of MAT 171.

#### MAT 175   Introductory Statistics ...  3

Prerequisites: Grade of C or better in MAT 160, ASMNT MAT 180, or ASMNT MAT 210.

Topics include descriptive statistics, sampling techniques, counting techniques, probability, probability distributions, confidence interval estimates, hypothesis testing, simple linear regression, and one-way ANOVA.

#### MAT 180   Calculus and Analytic Geometry I ...  5

Prerequisites: Grade of C or better in MAT 171 or both MAT 150 and MAT 160 or ASMNT MAT 180.

First in a sequence of three courses including analytic geometry, differential calculus, and integral calculus. Recommended for majors in mathematics, computer science, physical sciences, or engineering. Includes analytic geometry, functions, limits, continuity, the derivative and differentials, applications of the derivative and differentials, antidifferentiation, indefinite and definite integrals, and applications of definite integral.

#### MAT 201   Structure of Math Systems I ...  3

Prerequisites: Grade of C or better in MAT 160 or ASMNT MAT 180.

For potential elementary teachers. Topics include sets, logic, number bases, systems of numeration, system of whole numbers, systems of integers, system of rational numbers, development of real number system, field properties, algorithms for whole numbers, and terminology of mathematics.

#### MAT 202   Structure of Math Systems II ...  3

Prerequisites: Grade of C or better in MAT 160 College Algebra or ASMNT MAT 180.

Intuitive study of elementary geometry, including constructions, congruence, similarity, motion geometry tessellation, and deductive theory of geometry. Study of measurement, including area and volumes. Introduction to concepts of probability and statistics.

#### MAT 210   Survey Calculus ...  4

Prerequisites: Grade of C or better in MAT 160 or ASMNT MAT 210.

Recommended for business, life sciences, and social science majors. Focus on techniques of differential and integral calculus with application to business, life sciences, and social sciences. Trigonometry not used.

#### MAT 230   Calculus and Analytic Geometry II ...  5

Prerequisites: Grade of C or better in MAT 180 or ASMNT MAT 230.

Second course in sequence of three recommended for majors in mathematics, computer science, physical sciences, or engineering. Topics include transcendental functions, techniques of integration, indeterminate forms, improper integrals, infinite series, and polar curves.

#### MAT 240   Calculus and Analytic Geometry III ...  5

Prerequisites: Grade of C or better in MAT 230.

Third course in sequence of three recommended for mathematics, computer science, physical science, or engineering majors.  Topics include calculus of vectors in two or three dimensions, partial derivatives, multiple integrals and their applications; and introductory topics from differential equations.

#### MAT 242   Introductory Linear Algebra ...  3

Prerequisites: MAT 230 with a grade of C or better.

A first course in linear algebra intended for mathematics, computer science, science, and engineering majors. Topics include matrix algebra, determinants, and vector spaces, linear transformations, and eigenvalues and eigenvectors. Offered Fall semester.

#### MAT 250   Differential Equations ...  3

Prerequisites: Grade of C or better in MAT 240.

First course in differential equations for mathematics, science, and engineering majors. Topics include solution and application of ordinary differential equations including n-th order nonhomogeneous equations with variable coefficients and simultaneous differential equations. Methods used include Laplace transform, power series, variation of parameter, matrix methods and introduction to numerical solutions. Offered Spring, Summer semester.

#### MAT 260   A Transition to Theoretical Mathematics ...  3

Prerequisites: Grade of C or better in MAT 230.

First course in theoretical mathematics for mathematics, computer science, engineering and science majors. Includes logic and proofs, set theory, relations and functions, cardinality, introductory abstract algebra and introductory real analysis.  Offered Spring semester.