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Course Criteria
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3.00 Credits
This course concentrates on operations with vectors, matrices, systems of linear equations, determinants, vector spaces,l inear transformations, eigenvalues and eigenvectors. Prerequisite: MATH 1211.
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4.00 Credits
This course is a continuation of Calculus I. Topics include differentiation and integration of transcendental functions, techniques of integration, arc lenght, surface ar volumes, force, work, and introductin to differential equations, improper integrals, sequences and series and parametric equations. Prerequisite: MATH 1211 Caluclus I
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4.00 Credits
Topics include vectors, the calculus of vector-valued functins, polar coordinates, spherical coordinates, function of several variables, directional derivatives, Lagrange multipliers and multiple integrals. Prerequisite: MATH 2212 Calculus II.
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3.00 Credits
This course will include an introduction to probability and basic concepts of descriptive and inferential statistics. The computer and graphing calculators will be an integral part of this course. Prerequisite: MATH 1111 or MATH 1113.
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3.00 Credits
This course will cover the basic properties of the system of natural numbers, the system of whole numbers, the system of rational numbers and the system of real numbers. This course will also cover nomenclature and representations of numbers, number patterns, elements of number theory and applications. Prerequisite: MATH 1111 or MATH 1113.
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3.00 Credits
This course explores the technical tools to study concepts in Geometry, Algebra and Calculus. Software such as Geo- metric Pad, Maple V, Interactive Precalculus and Language Proofs and Logic will be used to explore precalculus and calculus concepts and their applications in problem solving. Graphing calculators will be used to demonstrate concepts in mathematics and to do problem solving. Prerequisite: MATH 1113.
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3.00 Credits
Introduction to the classical arithmetic properties of the integers. Divisibility properties, primes and their distribution, congruencies, Diophantine equations and their applications, number-theoretic functions, Fermat and Euler theorems, continued fractions, Fibonacci numbers, Pytha- gorean triples and perfect numbers. Prerequisite: MATH 2212 Calculus II.
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3.00 Credits
This course includes a study of topics in combinatorial mathematical processes. Topics in mathematical induction, set theory, number theory, combinations, permutations, probability theory including the induction principle, relations, recursions, the counting principle, generating functions, logic, and graph theory are covered. Prerequisite: MATH 1113.
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3.00 Credits
This course includes topics in ordinary differential equations: separable equations, homogeneous and nonhomo- geneous equations, exact equations, Euler equations, non- linear ordinary differential equations, the study of Laplace transforms and how to use them to solve practical problems as well as solving systems of linear differential equations. Prerequisite: MATH 2212.
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3.00 Credits
This course is the study of metric, affine and projective geometries by means of groups of transformations and their invariants on the Euclidean plan. Prerequisite: MATH 2111 Linear Algebra.
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