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  • MATH 2007: Mathematics Across the Ages

    3.00 Credits
    Hawaii Pacific University

    A survey of the historical development of mathematical thought from ancient times to the present. Possible topics include: Babylonian, Egyptian, Greek, Chinese, Hindu, and Arabian mathematics; European mathematics in the middle ages and the Renaissance; the development of calculus, number theory abstract algebra, non-Euclidean geometry, set theory, and information theory. Pre: MATH 1130 or higher.
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  • MATH 2214: Calculus I

    3.00 Credits
    Hawaii Pacific University

    A course in single variable calculus which emphasizes limit, continuity, derivative, and integral. Primary focus is on the derivative with an introduction to the integral and elementary applications of the integral. Differentiation topics include: chain rule, implicit differentiation, curve sketching and maxima and minima problems. Integration topics include: fundamental theorem of calculus, method of substitution, area between curves, and volumes of revolution. Pre: MATH 1140 or higher.
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  • MATH 2215: Calculus II

    3.00 Credits
    Hawaii Pacific University

    A continuation of Calculus I, completing the development of the integral. Integration topics include: integration by parts, trigonometric substitution, method of partial fractions, length of curves, surfaces and volumes of revolutions. Other topics include: infinite series, tests of convergence; power series, radius of convergence, and Taylor's series. Other topics may include calculus of conic sections, vector algebra, scalar and vector product. Pre: MATH 2214 or higher except MATH 23261/MATH 3301.
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  • MATH 2326: Mathematics for Decision-Making

    3.00 Credits
    Hawaii Pacific University

    A course developing the quantitative skills necessary for the effective formulation and solution of problems in business, management, economics, and the social and life sciences. Topics include: probability and probability distributions, functions and their graphs, differentiation and its application to max-min problems, linear programming, network models, project management with PERTCPM, and simulation. Pre: MATH 1123 and MATH 1130.
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  • MATH 3110: Foundations of Mathematical Logic and Applications

    3.00 Credits
    Hawaii Pacific University

    A course in mathematical logic covers Proof Theory, Model Theory, and the theory of Decidability. Topics include Sentential Logic, First order Logic, Deductive Calculus, Completeness and Soundness Theorems, Model theory, Isomorphisms, Compactness Theorem, and Global Incompleteness theorem, applications to theoretical computer science and complexity theory. Pre: MATH 2214 and MATH 3301 (can be taken concurrently).
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  • MATH 3220: College Geometry

    3.00 Credits
    Hawaii Pacific University

    This course provides geometry content and process for those planning to become secondary math teachers. The course is also appropriate for other mathematics majors. Included are activities and discussions in inductive and deductive reasoning in Euclidean geometry, classical geometry with constructions, transformations, dynamical geometry software, non-Euclidean Geometries, threedimensional Geometry, spatial reasoning and miscellaneous topics. Pre: MATH 2215.
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  • MATH 3301: Discrete Mathematics

    3.00 Credits
    Hawaii Pacific University

    This course focuses on the theory and application of mathematical principles critical to the computing sciences. Students study and apply key concepts in topics such as set theory, combinatorics, language and grammars, propositional and quantifier logic, boolean functions and circuit design, growth of functions and big-O notation, time complexity of algorithms, mathematical induction and program correctness, recursive definitions and recursive algorithms and solving recurrence relations. Pre: CSCI 2911 and MATH 2214 or higher.
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  • MATH 3302: Elementary Number Theory

    3.00 Credits
    Hawaii Pacific University

    Topics covered include prime and composite integers, factorization, divisibility, number theoretic functions, Diophantine equations, congruence of integers, quadratic reciprocity, mathematical inductions, cryptography, Pythagorean triples, real, complex and p-adic numbers. Pre: MATH 2215; or MATH 2214 and MATH 3301
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  • MATH 3305: Linear Algebra

    3.00 Credits
    Hawaii Pacific University

    Elementary linear algebra with applications in the sciences, to computers and economics. Topics include: systems of linear equations; matrix theory, determinants and eigenvalues, geometry of Euclidean n-space; abstract vector spaces, bases, linear independence, and spanning sets, linear transformations, null space and range, diagonalization of matrices; eigenvalues and eigenvectors of symmetric matrices; quadratic forms, inner products and orthonormalization. Pre: MATH 2214 or higher except MATH 2326/MATH 3301.
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  • MATH 3306: Calculus II

    3.00 Credits
    Hawaii Pacific University

    A course in calculus of several variables. The course begins with vector algebra, scalar and vector product, and elementary applications of vectors. Emphasis is placed on differentiation and integration of functions of several variables with peripheral focus on limits and continuity. Differentiation topics include: partial derivative, directional derivative, chain rule formula, gradient, maxima and minima problems, and Lagrange multipliers, divergence, and curl. Integration topics include: iterated integrals in rectangular, polar, and spherical coordinates, line integrals, Green's theorem, divergence theorem, Stoke's theorem. Pre: MATH 2215 or higher except MATH 2326/MATH 3301.
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