MATH Mathematics



MATH-010 Fundamentals of Algebra 2 cr.
Fall and Spring
Review of fundamental principles of elementary algebra. Credit earned for MATH-010 will not count toward graduation.

MATH-110 Intermediate Algebra 4 cr.
Fall, Spring and Summer
Basic algebraic skills: factoring, exponents, rational expressions, linear equations and inequalities, systems of equations, quadratic equations, and an introduction to functions. One year of high school algebra and math placement test is required, or MATH-010.

MATH-118 Concepts of Mathematics 4 cr.
ANRSN MATH Fall, Spring and Summer
Elementary concepts in mathematical language and reasoning, sets, number systems and theory, algebraic equations, statistics and probability, geometry, computers; historical survey. One year of high school algebra and math placement test required, or Math-010.

MATH-120 Introductory College Mathematics I 4 cr.
ANRSN MATH

Fall, Spring and Summer
Review of basic algebra, solving equations and inequalities, applications of equations and inequalities, functions and their graphs, polynomial equations, and systems of equations. Math placement test required, or MATH-110.

MATH-121 Introductory College Mathematics II 4 cr.
ANRSN MATH

Fall, Spring and Summer
Continuation of MATH-120. Study of functions to include rational, exponential, logarithmic, and trigonometric functions and two dimensional analytic geometry. Math placement test required or MATH-120.

MATH-123 Finite Mathematics With Applications 4 cr.
ANRSN MATH
Fall, Spring and Summer

Real number system, systems of linear equations and inequalities, sets, functions, vectors, matrices, probability, linear programming, theory of games, Markov chains. Math placement test required, or MATH-110 or MATH-120.

MATH-153 Calculus I 4 cr.
ANRSN MATH

Fall, Spring and Summer
Functions, limits, continuity, bounds, sets; the derivative of functions and applications; exponential, logarithmic, trigonometric and inverse functions. Not open to those with credit in MATH-154, MATH-156, MATH-157 or MATH-158. Math placement test score of 4 or higher, or Math-121.

MATH-154 Calculus II 4 cr.
GE ANRSN MATH

Fall and Spring
Continuation of MATH-153: antiderivatives; integration theory and techniques, applications; parametric equations, vectors.

Prerequisites: take MATH-153 or MATH-156.

MATH-156 Calculus and Analytic Geometry I 5 cr.
GE ANRSN MATH

Fall and Spring
Review of real numbers, inequalities, absolute values, intervals and continuity; analytic geometry of the plane, limit concepts, derivatives of algebraic functions, definite integral.

Math placement test score of 4 or higher, or MATH-121.

MATH-157 Calculus and Analytic Geometry II 5 cr.
GE ANRSN MATH

Fall and Spring
Application of derivative and definite integral; conic sections and other algebraic curves; calculus for rational, algebraic, circular, exponential and trigonometric functions; formal integration.

Prerequisites: take MATH-153 or MATH-156.

MATH-158 Calculus III 3 cr.
Fall and Spring
Formal integration continued; parametric equations, polar representation, Cauchy's formula, Taylor's theorem, infinite series, vectors, partial differentiation, multiple integration.
Prerequisites: take MATH-154 or MATH-157.

MATH-250 Differential Equations With Linear Algebra 3 cr.
Spring

Differential equations: first-order and higher-order equations, systems of linear differential equations. Linear algebra: matrices, determinants, systems of linear equations, vector spaces, linear transformations, eigenvalues, eigenvectors.
Prerequisites: take MATH-154 or MATH-157.

MATH-255 Differential Equations 3 cr.
Spring
Common types of ordinary differential equations of first and second order; linear equations with constant coefficients; series solutions, numerical approximations, systems of ordinary equations.
Prerequisites: take MATH-154 or MATH-157.

MATH-262 Modern Geometry 3 cr.
Spring
Development of logical discourse, betweenness properties and plane separation, geometric models of axiomatic systems, modern geometry of triangle and circle, transformations (linear, circular), orthogonal systems of circles, elliptic and hyperbolic geometry.

Prerequisites: take MATH-153 or MATH-156.

MATH-275 Linear Algebra 3 cr.
Fall and Spring
Algebra of linear transformations and matrices. Determinants, equivalence relations, rank systems of equations, vector spaces, orthogonal transformations, characteristic equations and quadratic forms.

Prerequisites: take MATH-153 or MATH-156.

MATH-350 Vector Analysis 3 cr.
Fall, Spring and Summer
Basic theory of vectors. Vector differential calculus and vector integral calculus of two and three dimensions with applications.

Prerequisites: take MATH-158.

MATH-370 Modern Algebra I 3 cr.
Fall
Set theory, mappings, equivalence relations and classes, mathematical induction, Peano's postulates, isomorphisms; development of natural numbers, integers, rational, and real numbers; introduction to integral domains and rings.

Prerequisites: take MATH-154 and MATH-275 or MATH-157 and MATH-275.

MATH-371 Modern Algebra II 3 cr.
Spring
Continuation of MATH-370; rings, integral domains, fields, polynomials, groups, vector spaces; introduction to algegra of matrices.
Prerequisites: take MATH-370.

MATH-380 Cryptography 3 cr.
Spring
Classical, public-key and symmetric-key cryptosystems. Basic number theory. Digital signature schemes. Applications to information assurance and cyber security.
Prerequisites: take MATH-370.

MATH-450 Real Analysis I 3 cr.
Fall Semester
Rigorous development of advanced topics in analysis; functions, real numbers, sequences, Cartesian spaces, sequences of functions, limit superior and inferior, continuous functions.
Prerequisites: take MATH-154 or MATH-157.

MATH-451 Real Analysis II 3 cr.
Spring
Continuation of MATH-450; differentiation, integration, infinite series.

Prerequisites: take MATH-450.

MATH-460 Complex Variables With Applications 3 cr.
Spring
Complex numbers, analytic functions, elementary functions of complex variables, mapping of elementary functions, integration techniques, power series and calculus of residues.
Prerequisites: take MATH-158.