Graduate Catalog 2009-2010
UDM Academic PoliciesCourse DescriptionsList of All ProgramsFaculty


MED 5430 Data Structures for Teachers
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Object-oriented principles, standard data structures, big-O notation, NP completeness, stacks, queues, generic data types, dynamic memory, recursion, linked lists, circular lists, doubly-linked lists, trees, binary search tree heaps, graphs, sorting algorithms, searching algorithms, object-oriented language implementation of data structures and algorithms.
300

MED 5450 Obj-Oriented Prog for Teachers
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Object-oriented programming techniques, encapsulation, constructors, destructors, overloading, single and multiple inheritance, polymorphism, composition, templates, iterators, member function access, data hiding, abstract classes, exception handling, projects.
300

MED 5490 Grad Res Project
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Semester-long research into a current topic or trend in mathematics or computer science education, leading to a Master's quality exposition on said research. Students will select and investigate a specific topic of their own interest with the approval and supervision of a graduate advisor.
300

MED 5540 Databases for Teachers
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Database management, database system architecture, relational databases, SQL, domains, relations, relational algebra, relational calculus, integrity, views, normalization, database security, database connectivity, database programming, projects.
300

MED 5590 Mathematical Modeling
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Introduction to the ideas of a mathematical model and model building, linear programming models, game-theoretic models, regression analysis models. Applications in business ecology, psychology, sociology, and political science.
300

MED 5600 Psychology of Mathematics
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Learning theories in a mathematical context, use of classroom technology, types of knowledge including conceptual and procedural knowledge, assessment, current research on educational psychology.
300

MED 5610 Instruct Tech Math
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Advanced study of mathematics and science pedagogies using computer assisted instruction, such as mathematical software, spreadsheets, and graphing calculators.
300

MED 5630 Teaching Math w Graphing Calcs
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Intensive 2-week class on the functions of graphing calculators, focusing on teaching techniques which use graphing utilities to facilitate conceptual understanding. There is a K-8 version of this course, and a separate version for grades 7-12 mathematics teachers.
300

MED 5700 Math Modeling for Teachers
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Mathematical modeling studies and solving real-world problems. Emphasis on setting up assumptions and methodology required to achieve a solution. Practical problems concentrating on the reasoning behind the set-up of the problem's solution.
300

MED 5710 Computer Sci for Teachers I
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


An introduction to computer science. Problem solving and algorithm development. Basic programming and program structures using the modern structuring language C++.
300

MED 5720 Computer Sci for Teachers II
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


A continuation of MED 571. Topics include recursion, data structures and their relation to algorithms, data abstraction, encapsulation, and object-oriented programming.
300

MED 5730 Computer Sci for Teachers III
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Java applications, Java applets, control structures, methods, arrays, strings and characters, object-oriented programming, graphics and Java 2D, basic graphical user interface components, exception handling, files and streams, Java utilities.
300

MED 5740 Advanced Java for Teachers
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Advanced graphical user interfaces, multithreading, Java Beans, Java networking, Java Database Connectivity (JDBC), Java servlets, Java security, Remote Method Invocation (RMI), Java Native Interface (JNI), Java 2 Micro Edition, Java programming with COBRA.
300

MED 5750 Mod Concepts of Calculus I
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Functions, limits and continuity, derivatives and applications, definite integrals and applications.
400

MED 5760 Mod Concepts of Calculus II
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Topics in analytic geometry, applications of the definite integral, advanced techniques of integration, improper integrals, Taylor polynomials, theory of infinite sequence and series.
400

MED 5770 Elem Math with Manipulatives
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Project-oriented exploration of tangible models used in teaching fundamentals of mathematics at the elementary level, conceptual versus procedural knowledge.
300

MED 5790 Topics In Math Ed
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Topics selected from current research and trends in mathematics education.
300

MED 5810 Modern Algebra for Teachers
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Structure of a mathematical system, set theory, symmetries, groups, rings, fields, homomorphisms, isomorphisms; in the context of number systems relevant to topics in K-12 mathematics teaching.
300

MED 5820 Linear Algebra for Teachers
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Vectors, matrices, linear systems, determinants, inverse matrices, linear inequalities, linear programming.
300

MED 5830 Geometry I
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Intuitive and project-based computational study of Euclidean geometry and coordinate geometry, highlighting the major results in elementary and secondary geometry.
300

MED 5840 History of Mathematics
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


A historical development of mathematics from primitive origins to the present, concentrating on numeration systems, arithmetic models, Euclidean and non-Euclidean geometries, number theory, theory of equations, and the beginnings of calculus, Computer Science Evolution, Computer Generations, History of Programming Languages.
300

MED 5850 Prob & Statistics for Teachers
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Organization and presentation of data, frequency distribution, measures of central tendency and variance, percentiles and standard scores, sampling theory, significance tests, correlation, standard forms of continuous distributions.
300

MED 5860 Number Theory
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Divisibility, greatest common divisors, Euclid's algorithm, congruencies, the infinitude of the primes, sieve of Eratosthanes, sigma and tau functions, perfect numbers, Mersenne primes, Fermat's Little Theorem, Euler's Theorem, cryptography.
300

MED 5870 Finite Mathematics
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Sets, Functions and Proof Techniques, Logic and Logic Circuits, elations, Combinatorics, Graph Theory, Applications to Computer Science.
300

MED 5900 Logic and Mathematical Inquiry
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Basic forms of philosophical argument as they appear in mathematics, symbolic logic, identifying salient points of an argument, construction of common forms of proof.
300

MED 5930 Geometry II
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Formal Euclidean axiomatic geometry with emphasis on proof construction, chains of proofs, topics in non-Euclidean geometry.
300

MED 5990 Research Project
Credit HoursRecitation/Lecture HoursStudio HoursClinical HoursLab Hours


Semester-long research into a current topic or trend in mathematics education, leading to a Master's quality exposition on said research. Students select and investigate a specific topic of their own interest with the approval and supervision of a graduate advisor.
300

College of Business Administration

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College of Health Professions & McAuley School of Nursing

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School of Architecture

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School of Law

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For more information about UDM, or to apply online, go to www.udmercy.edu/apply.


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