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MED 543 Data Structures for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 545
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. | 3 | 0 | 0 | | |
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MED 545 Object-Oriented Programming for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 572
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. | 3 | 0 | 0 | | |
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MED 549 Research Project
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
completion of all other degree requirements, or instructor approval
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. | 3 | 0 | 0 | | |
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MED 554 Databases for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 572
Database management, database system architecture, relational databases, SQL, domains, relations, relational algebra, relational calculus, integrity, views, normalization, database security, database connectivity, database programming, projects. | 3 | 0 | 0 | | |
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MED 560 Psychology of Mathematics and Computer Science
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Learning theories in a mathematical context, use of classroom technology, types of knowledge including conceptual and procedural knowledge, assessment, teaching ethics, selected topics in science education relevant to educational psychology. | 3 | 0 | 0 | | |
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MED 561 Instructional Technology in the Sciences
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Advanced study of mathematics and science pedagogies using computer assisted instruction, such as mathematical software, spreadsheets, and graphing calculators. | 3 | 0 | 0 | | |
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MED 570 Mathematical Modeling for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab 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. | 3 | 0 | 0 | | |
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MED 571 Computer Science for Teachers I
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
An introduction to computer science. Problem solving and algorithm development. Basic programming and program structures using the modern structuring language C++. | 3 | 0 | 0 | | |
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MED 572 Computer Science for Teachers II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 571
A continuation of MED 571. Topics include recursion, data structures and their relation to algorithms, data abstraction, encapsulation, and object-oriented programming. | 3 | 0 | 0 | | |
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MED 573 Computer Science for Teachers III
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 572
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. | 3 | 0 | 0 | | |
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MED 574 Advanced Java for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 573
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. | 3 | 0 | 0 | | |
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MED 575 Modern Concepts of Calculus I
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 140 or MTH 480 or equivalent.
Functions, limits and continuity, derivatives and applications, definite integrals and applications. | 3 | 0 | 0 | | |
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MED 576 Modern Concepts of Calculus II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
Pre-requisite MED 575 or equivalent
Topics in analytic geometry, applications of the definite integral, advanced techniques of integration, improper integrals, Taylor polynomials, theory of infinite sequence and series. | 3 | 0 | 0 | | |
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MED 577 Teaching Elementary Mathematics with Manipulatives
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Project-oriented exploration of tangible models used in teaching fundamentals of mathematics at the elementary level, conceptual versus procedural knowledge. | 3 | 0 | 0 | | |
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MED 579 Topics in Mathematics and Computer Science Education
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Topics selected from current research and trends in mathematics education. | 3 | 0 | 0 | | |
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MED 581 Modern Algebra for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab 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. | 3 | 0 | 0 | | |
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MED 582 Linear Algebra for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Vectors, matrices, linear systems, determinants, inverse matrices, linear inequalities, linear programming. | 3 | 0 | 0 | | |
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MED 583 Geometry I
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
Pre-requisites MTH 477 and MTH 478, or equivalent
Intuitive and project-based computational study of Euclidean geometry and coordinate geometry, highlighting the major results in elementary and secondary geometry. | 3 | 0 | 0 | | |
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MED 584 History of Mathematics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab 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. | 3 | 0 | 0 | | |
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MED 585 Elementary Statistics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab 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. | 3 | 0 | 0 | | |
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MED 586 Number Theory
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab 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. | 3 | 0 | 0 | | |
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MED 587 Finite Mathematics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Sets, Functions and Proof Techniques, Logic and Logic Circuits, elations, Combinatorics, Graph Theory, Applications to Computer Science. | 3 | 0 | 0 | | |
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MED 590 Logic and Mathematical Inquiry
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab 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. | 3 | 0 | 0 | | |
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MED 593 Geometry II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
Pre-requisites MED 583 and MED 590
Formal Euclidean axiomatic geometry with emphasis on proof construction, chains of proofs, topics in non-Euclidean geometry. | 3 | 0 | 0 | | |
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MED 599 Research Project
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
completion of all other degree requirements.
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. | 3 | 0 | 0 | | |
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