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MATH 1223: Introduction to Mathematics Software
3.00 Credits
University of Arkansas at Little Rock
Prerequisites: grades of C or greater in MATH 1302 and 1303, equivalent transfer courses, or a suitable score on a mathematics placement test. Symbolic and numerical manipulations in a Computer Algebra System (CAS); graphing; simple programming; spreadsheet fundamentals and mathematical typesetting. Four hours lab. Two credit hours.
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MATH 1311: Applied Calculus I
3.00 Credits
University of Arkansas at Little Rock
Prerequisite: a grade of C or greater in MATH 1302, an equivalent transfer course, or a suitable score on a mathematics placement test (See "Mathematics Placement Tests" on page 177). Not intended for mathematical science majors or minors. Recommended co-requisite: MATH 1111. Introduction to analytic geometry, differential calculus of algebraic and transcendental functions; applications to curve sketching, maxima-minima and related rate problems, introduction to the integral with applications to area. Three hours lecture. Three credit hours.
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MATH 1311 - Applied Calculus I
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MATH 1312: Applied Calculus II
3.00 Credits
University of Arkansas at Little Rock
Prerequisites: grades of C or greater in MATH 1303 and 1311, equivalent transfer courses, or a suitable score on a mathematics placement test (See "Mathematics Placement Tests" on page 177). It is recommended that the lab course 1112 be taken concurrently with this course. Topics covered are differential and integral calculus of algebraic and transcendental functions of one and several variables, differential equations with applications to motion, decay and mixing. Three hours lecture. Three credit hours.
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MATH 1342: Business Calculus
3.00 Credits
University of Arkansas at Little Rock
Prerequisite: a grade of C or greater in MATH 1302, an equivalent transfer course, or a suitable score on a mathematics placement test (See "Mathematics Placement Tests" on page 177). Differential and integral calculus with applications to economics and management sciences. Three hours lecture. Three credit hours.
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MATH 2310: Discrete Mathematics
3.00 Credits
University of Arkansas at Little Rock
Prerequisite: a grade of C or greater in MATH 1302. Emphasizes applications of mathematics in computer science and other areas of modern technology. The topics include mathematical reasoning, set theory, proofs by induction, number systems, relations, directed graphs, trees, and related topics of study. Three hours lecture. Three credit hours.
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MATH 3301: Introduction to Topology
3.00 Credits
University of Arkansas at Little Rock
Prerequisites: grades of C or greater in MATH 2453, 3312. Topological spaces, metric spaces, sequences, compact and connected sets, continuous functions. Three hours lecture. Three credit hours.
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MATH 3310: Algebraic Structures I
3.00 Credits
University of Arkansas at Little Rock
Prerequisite: MATH 2310. An introduction to modern algebraic structures. The topics include equivalence relations, groups, isomorphisms, direct products, rings, fields, and integral domains. Three credit hours.
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MATH 3311: Number Theory
3.00 Credits
University of Arkansas at Little Rock
Prerequisite: a grade of C or greater in MATH 1302. Basic representation, the fundamental theorem of arithmetic, combinatorial and computational number theory, fundamentals of congruences, solving congruences, arithmetic functions, primitive roots, prime numbers, quadratic congruences, additivity. Three hours lecture. Three credit hours.
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MATH 3312: Linear Algebra
3.00 Credits
University of Arkansas at Little Rock
Prerequisites: grades of C or greater in MATH 1342 or 1312 or 1452; and 2310. Vector spaces, bases, polynomials, Cayley-Hamilton Theorem, invariant subspaces, linear transformations, eigenvalues and eigenvectors, selected applications, Jordan canonical form. Three hours lecture. Three credit hours.
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MATH 3322: Introduction to Differential Equations
3.00 Credits
University of Arkansas at Little Rock
Prerequisite: a grade of C or greater in MATH 1452 (may be corequisite with consent of instructor). Methods of forming and solving some important types of ordinary differential equations and their application to selected physical and biological models. Three hours lecture. Three credit hours.
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