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Management |
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MGT 5170 Quality Management Credit Hours: 3
Introduces principles and techniques for establishing quality goals, identification of customer needs, measurement of quality objectives and development of process features and controls for improving overall system performance.
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MGT 5171 Managerial Decision Modeling Credit Hours: 3
Covers solving problems with decision trees, decision models based on expected value/uncertainty, forecasting, PERT/CPM, utility-based decision-making, and decision support systems. Uses case studies and computer software, and emphasizes practical applications. Features decision scenarios, decision criteria and decision states.
Recommended: Background knowledge equivalent to MGT 5006 Introductory Managerial Statistics
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MGT 5211 Procurement and Contract Management Credit Hours: 3
Overviews in depth the federal acquisition process and introduces the basic concepts, policies and procedures incident to government contracting through the FAR and supplementing directives.
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MGT 5212 Advanced Procurement and Contract Management Credit Hours: 3
Covers principles, policies, concepts and procedures in management of contracts and subcontracts. Includes rules of interpretation, subcontracting terms and conditions, in-depth examination of significant contract clauses, patent/data provisions, risk allocation and assumption, impossibility of performance, product liability, warranties and claims.
Recommended: Background knowledge equivalent to MGT 5211 Procurement and Contract Management
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MGT 5213 Contract Changes, Terminations and Disputes Credit Hours: 3
Uses case studies and lectures to examine in depth the post-award management problems associated with contract administration. Covers contract changes, terminations, disputes and other issues.
Recommended: Background knowledge equivalent to MGT 5211 Procurement and Contract Management
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MGT 5215 Emergency Procurement and Contract Management Credit Hours: 3
Covers the basic concepts, policies and procedures incident to public agency contracting. Includes in-depth coverage of the acquisition process. Emphasizes using commercial organizations to supply goods and services; contingency contracting and interagency support; and establishing organizations for maintenance and continuity of operations.
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MGT 5216 Management of Logistics in Complex Emergencies Credit Hours: 3
Covers key institutional factors. Includes emergency rescue; military agencies; local, state and federal emergency agencies in the field; and international humanitarian and relief organizations. Explores emergency requirements for food, shelter, healthcare and public order.
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MGT 5217 Contract and Subcontract Formulation Credit Hours: 3
Studies in depth the pre-award phase of the federal acquisition process. Uses class discussions and case studies to examine the management problems from the perspective of the contracting office, requiring activity, courts, Congress and the contractors.
Recommended: Background knowledge equivalent to MGT 5211 Procurement and Contract Management
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MGT 5218 Contract Negotiations and Incentive Contracts Credit Hours: 3
Explores, analyzes and discusses negotiation concepts and techniques, and places them into practice using mock negotiations. Examines all types of contracts.
Recommended: Background knowledge equivalent to MGT 5211 Procurement and Contract Management
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MGT 5220 Contract Management Research Seminar Credit Hours: 3
Advanced study and research of topical government contract management issues. Involves a significant research paper or challenging capstone project designed to demonstrate mastery over the complete curriculum.
Requirement(s): Must be taken during the last 12 credit hours of the program
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MGT 5231 Government Contract Law Credit Hours: 3
Focuses on the method rather than the material. Uses the case method of study and basic source material to cover all facets of procurement law. Emphasizes legal methods, logic and the developmental concepts of procurement law.
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MGT 5240 Business and Legal Aspects of Intellectual Property Credit Hours: 3
Examines patents, trademark, copyright and trade secret law.
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MGT 5270 Special Topics in Contracts Management Credit Hours: 3
Independent study with a faculty member in an area of contract management in greater depth than is normally possible in a regular class. Requires a comprehensive term paper.
Requirement(s): Instructor approval
Recommended: Background knowledge equivalent to MGT 5211 Procurement and Contract Management
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MGT 5300 Healthcare Organizations Credit Hours: 3
Covers the development of the U.S. healthcare system. Includes the origins of the trends that led to the current and future American healthcare system; role of the manager in design of the organization with respect to procedures, resources and feedback; professional integration; and interaction of management and other healthcare professionals.
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MGT 5301 Healthcare Management Credit Hours: 3
Includes the ethical, legal and technological setting for organizational theory and concepts; strategic planning and marketing in the hospital setting; management engineering applied to problem-solving and decision-making; motivation for resource output and control; and leadership, interpersonal and organizational communication.
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MGT 5302 Healthcare Finance Credit Hours: 3
Provides students with theory, tools and practical experience in healthcare financial management. Examines payment sources and reimbursement arrangements, public and private financing of healthcare service organizations from both theoretical and practical perspectives, and emerging trends in the healthcare industry affecting decision-making.
Prerequisite: MGT 5000 and MGT 5002
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MGT 5303 Healthcare Ethics and Law Credit Hours: 3
Surveys the legal environment of the health services industry from a policy perspective. Emphasizes the tensions and trade-offs between quality and cost. Includes access to healthcare, antitrust laws, personnel licensure and institutional accreditation, malpractice, and professional and institutional liability, among other topics.
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MGT 5304 Healthcare Economics Credit Hours: 3
Applies fundamental microeconomic concepts to the analysis of the healthcare market and the study of the organization and delivery of medical care services. Includes demand of care and insurance, supply of care by physicians and organizations, and rational for government intervention.
Prerequisite: MGT 5132
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MGT 5305 Healthcare Quality Management Credit Hours: 3
Examines the systems that measure and maintain quality in healthcare. Includes how to improve the standards of care and hold the effectiveness and efficiency of care, and the functions and requirements of the new Total Quality Management discipline as it applies to healthcare.
Recommended: Background knowledge equivalent to MGT 5301 Healthcare Management
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MGT 5310 Healthcare Nursing Management Credit Hours: 3
Includes basic issues nursing professionals must handle. Also covers leadership, professional skills, personal issues, organizational behavior and development of peak performance psychology, management skills and career development.
Recommended: Background knowledge equivalent to MGT 5301 Healthcare Management
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MGT 5311 Healthcare Information Systems Management Credit Hours: 3
Overviews modern information technologies for locating health statistics. Covers basic concepts of data quality and presentation. Familiarizes students with the scope and range of data systems, and explores important health indicators. Emphasizes decision-making needs.
Prerequisite: MGT 5301
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MGT 5312 Healthcare Marketing and Strategy Credit Hours: 3
Examines the principles and concepts of marketing as they apply to healthcare organizations. Discusses the nature of marketing strategy, the environment in which marketing operates, the consumer decision-making process, market research, market mix, and monitoring and controlling the marketing process.
Prerequisite: MGT 5019
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MGT 5500 Integrated Logistics Management Credit Hours: 3
Provides the framework for integrated logistics support (ILS). Discusses the management tools available to logistics managers and places ILS in perspective within the acquisition process. Includes understanding of all elements of ILS, the relationship of ILS elements to ILS planning and current systems acquisition practices.
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MGT 5901 Master of Public Administration Capstone Project Credit Hours: 3
Involves team-based consulting activity for an outside client organization. Requires a project, written report and presentation assessed for synthesis of learned competencies in oral and written communication, critical thinking and public policy administration.
Requirement(s): Serves as capstone for the Master of Public Administration degree program. Must be taken during the last 12 credit hours of the program
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MGT 5902 Human Resources Management Capstone Project Credit Hours: 3
Involves a team-based consulting activity for an outside client organization. Requires a project, written report and presentation assessed for synthesis of learned competencies in oral and written communication, critical thinking and human resources management.
Requirement(s): Serves as the capstone for the Human Resources Management degree program. Must be taken during the last 12 credit hours of the program
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MGT 5903 Logistics Management Capstone Project Credit Hours: 3
Involves a team-based consulting activity for an outside client organization. Requires a project, written report and presentation assessed for synthesis of learned competencies in oral and written communication, critical thinking and logistics management.
Requirement(s): Serves as the capstone for the Logistics Management degree program. Must be taken during the last 12 credit hours of the program
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MGT 5904 Systems Management Capstone Project Credit Hours: 3
Involves a team-based consulting activity for an outside client organization. Requires a project, written report and presentation assessed for synthesis of learned competencies in oral and written communication, critical thinking and systems management.
Requirement(s): Serves as the capstone for the Systems Management degree program. Must be taken during the last 12 credit hours of the program
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MGT 5905 Technology Management Capstone Project Credit Hours: 3
Involves a team-based consulting activity with an outside client organization. Requires a project, written report and presentation assessed for synthesis of learned competencies in oral and written communication, and the use of technology in organizations.
Requirement(s): Serves as capstone for the Technology Management degree program. Must be taken during the last 12 credit hours of the program
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MGT 6000 Doctor of Business Administration Introduction and Orientation Credit Hours: 0
Introduces the doctoral program to each new cohort of students. Addresses curriculum, scheduling, research requirements and administrative aspects of the program. Also introduces faculty and staff before formal orientation.
Must be enrolled in Doctor of Business Administration (9062)
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MGT 6001 Issues in Strategic Management Credit Hours: 3
Overviews strategic management of a business. Emphasizes the specific problems using case studies in accounting, finance, economics and marketing. Focuses on strategies across all aspects of a business and how to analyze business cases. Requires extensive, academic-style writing and case study analysis.
Must be enrolled in Doctor of Business Administration (9062)
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MGT 6002 Organizational Behavior, Ethics and Leadership in Business Management Credit Hours: 3
Overviews strategic management of a business. Emphasizes specific problems using case studies in organizational behavior, ethics and social responsibility. Focuses on key areas of organizational behavior and managing change. Requires extensive, academic-style writing and case study analysis.
Must be enrolled in Doctor of Business Administration (9062)
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MGT 6003 Advanced Study of Human Resources in Modern Business Enterprises Credit Hours: 3
Examines all aspects of human resources management in global business enterprises. Requires extensive, academic-style writing and case study analysis.
Must be enrolled in Doctor of Business Administration (9062)
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MGT 6004 Advanced Study in Innovation and Entrepreneurship Credit Hours: 3
Examines innovation and entrepreneurship in modern society. Requires extensive, academic-style writing and case study analysis.
Must be enrolled in Doctor of Business Administration (9062)
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MGT 6005 Advanced Study in Business Leadership Credit Hours: 3
Examines modern topics in a global modern society. Includes theories in leadership from leading case studies and current research. Requires extensive, academic-style writing and case study analysis.
Must be enrolled in Doctor of Business Administration (9062)
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MGT 6006 Advanced Study in International Business Credit Hours: 3
Examines all aspects of business in a global context. Focuses on the challenges of business in international markets. Also examines the effects of global competition and currency fluctuations. Requires extensive, academic-style writing and case study analysis.
Must be enrolled in Doctor of Business Administration (9062)
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MGT 6007 Advanced Study in Financial Business Analysis Credit Hours: 3
Examines all aspects of financial management in a global modern business enterprise. Requires extensive, academic-style writing and case study analysis.
Must be enrolled in Doctor of Business Administration (9062)
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MGT 6008 Legal Environment in Business Credit Hours: 3
Explores the legal environment of business in an international and domestic context. Requires extensive, academic-style writing and case study analysis.
Majors in Doctor of Business Administration (9062)
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MGT 6899 Final Semester Dissertation Credit Hours: 0 - 2
Variable registration for dissertation completion after satisfaction of minimum registration requirements.
Must be enrolled in Doctor of Business Administration (9062)
Requirement(s): Approval by Office of Graduate Programs and accepted candidacy
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MGT 6990 Research Methods 1 Credit Hours: 3
Explores qualitative, quantitative and mixed method modes of research design. Involves extensive writing and exploration of research methods in preparation for the dissertation proposal. Reviews chapters of individual dissertations. Also explores sample dissertation topics.
Must be enrolled in Doctor of Business Administration (9062)
Requirement(s): Successful completion of doctoral comprehensive examination
May be repeated for credit
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MGT 6991 Research Methods 2 Credit Hours: 3
Explores qualitative research methods. Involves extensive writing and exploration of quantitative research methods in preparation for the dissertation proposal. Reviews chapters of individual dissertations and sample dissertation topics emphasizing quantitative methods.
Must be enrolled in Doctor of Business Administration (9062)
Requirement(s): Successful completion of doctoral comprehensive examination
Prerequisite: MGT 6990 Corequisite: MGT 6990
May be repeated for credit
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MGT 6992 Special Topics Seminar Credit Hours: 0
Addresses selected topics of special research interest of faculty. Advances critical issues within the business research community. Requires registration over three semesters with different topics.
Must be enrolled in Doctor of Business Administration (9062)
Must be repeated three times with different topics
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MGT 6993 Introduction to Doctoral Writing and Business Research Methods Credit Hours: 3
Introduces the nature, scope and significance of research methodologies. Exposes students to research through critical exploration of research language and approaches.
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MGT 6999 Dissertation Credit Hours: 3 - 12
Research and preparation of the doctoral dissertation.
Requirement(s): Successful completion of the doctoral comprehensive examination
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Military Science |
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MSC 1001 Military Science 1 Credit Hours: 1
Studies the history, mission and organization of Army ROTC and the U.S. Army; customs, courtesies, squad organization and first aid; and leadership development through practical exercises. Academic classes meet one hour weekly. Leadership lab meets 1.5 hours weekly. Optional: Ranger Company, Cadet Club, Color Guard, Drill Team and field exercises.
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MSC 1002 Military Science 1 Credit Hours: 1
Studies the history, mission and organization of Army ROTC and the U.S. Army; customs, courtesies, squad organization and first aid; and leadership development through practical exercises. Academic classes meet one hour weekly. Leadership lab meets 1.5 hours weekly. Optional: Ranger Company, Cadet Club, Color Guard, Drill Team and field exercises.
Prerequisite: MSC 1001
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MSC 1003 Leadership Laboratory 1 Credit Hours: 1
Students engage in a minimum of 4.5 hours of basic military leadership and management techniques to include physical training, troop leading procedures, field training and individual and small unit tactics and training.
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MSC 1004 Leadership Laboratory 2 Credit Hours: 1
Students engage in a minimum of 4.5 hours of basic military leadership and management techniques to include physical training, troop leading procedures, field training and individual and small unit tactics and training.
Prerequisite: MSC 1003
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MSC 2001 Military Science 2 Credit Hours: 2
Land navigation and map reading; basic leadership and continued leadership development through practical exercises; Army communications procedures. Academic classes meet two hours weekly. Leadership lab meets 1.5 hours weekly. Optional: Ranger Company, Cadet Club, Color Guard, Drill Team and additional weekend field exercises.
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MSC 2002 Military Science 2 Credit Hours: 2
Land navigation and map reading; basic leadership and continued leadership development through practical exercises; Army communications procedures. Academic classes meet two hours weekly. Leadership lab meets 1.5 hours weekly. Optional: Ranger Company, Cadet Club, Color Guard, Drill Team and additional weekend field exercises.
Prerequisite: MSC 2001
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MSC 3001 Military Science 3 Credit Hours: 3
Military estimates, operation orders and platoon tactics; weapons, land navigation, military skills and communications II; instructional techniques; and development of leadership through tactical exercises. Classes meet three hours weekly. Leadership lab meets 1.5 hours weekly. Optional: Ranger Company, Cadet Club and additional weekend field exercises (attendance required).
Prerequisite: MSC 1001 and MSC 1002 and MSC 2001 and MSC 2002
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MSC 3002 Military Science 3 Credit Hours: 3
Military estimates, operation orders and platoon tactics; weapons, land navigation, military skills and communications II; instructional techniques; and development of leadership through tactical exercises. Classes meet three hours weekly. Leadership lab meets 1.5 hours weekly. Optional: Ranger Company, Cadet Club and additional weekend field exercises (attendance required).
Prerequisite: MSC 3001
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MSC 4001 Military Science 4 Credit Hours: 3
Military correspondence, staff functions and logistics; military history; military personnel management, military justice and advanced ethics; and continued leadership development through practical exercises. Classes meet three hours weekly. Leadership lab meets 1.5 hours weekly. Field exercises (attendance is required). Optional: Ranger Company and Cadet Club.
Prerequisite: MSC 3002
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MSC 4002 Military Science 4 Credit Hours: 3
Military correspondence, staff functions and logistics; military history; military personnel management, military justice and advanced ethics; and continued leadership development through practical exercises. Classes meet three hours weekly. Leadership lab meets 1.5 hours weekly. Field exercises (attendance is required). Optional: Ranger Company and Cadet Club.
Prerequisite: MSC 4001
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MSC 4003 Independent Study in Military Science Credit Hours: 3
Provides a detailed systems approach to the study and understanding of military science, including the function of military organizations, command structures and military decision-making, and characteristics, attributes and new telecommunications technologies and components that shape innovation and technological advancement in the military.
Requirement(s): Department head approval
Prerequisite: MSC 4002
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Mathematical Science |
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MTH 0002 Final Program Examination Credit Hours: 0
Requires registration in order to sit for the final program examination.
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MTH 0003 Basic Algebra Credit Hours: 3
Builds a foundation for algebra. Includes algebraic expressions, order of operations, linear equations and inequalities. Introduces graphing, polynomials, exponents and factoring.
Requirement(s): Must be enrolled in Florida Tech Online and credit cannot be applied to any Florida Tech degree
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MTH 0004 Final Program Examination 2 Credit Hours: 0
Requires registration in order to sit for the final program examination.
Prerequisite: MTH 0002 Corequisite: MTH 0002
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MTH 0005 Final Program Examination 3 Credit Hours: 0
Requires registration in order to sit for the final program examination.
Prerequisite: MTH 0004 Corequisite: MTH 0004
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MTH 0111 Intermediate Algebra Credit Hours: 3
Basic operations on real numbers, algebraic expressions, linear equations, inequalities, exponents, polynomials, factoring, rational functions, roots, radicals, quadratic equations and quadratic functions.
Requirement(s): Credit cannot be applied toward any Florida Tech degree
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MTH 1000 Precalculus Credit Hours: 4
Algebra and trigonometry that are used to develop the skills needed in calculus. Required for students who have minimal algebra and/or trigonometry preparation, or whose placement test indicated such a need.
Requirement(s): Passing score on placement exam or prerequisite course
Prerequisite: MTH 0111
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MTH 1001 Calculus 1 Credit Hours: 4
Functions and graphs, limits and continuity, derivatives of algebraic and trigonometric functions, chain rule; applications to maxima and minima, and to related rates. Exponential logarithmic, circular and hyperbolic functions: their inverses, derivatives and integrals.
Requirement(s): High school algebra and trigonometry and a passing score on the placement test, or prerequisite course
Prerequisite: MTH 1000 or MTH 1012
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MTH 1002 Calculus 2 Credit Hours: 4
Integration and applications of integration, further techniques of integration, improper integrals, limits, l’Hospital’s rule, sequences and series, numerical methods, polar coordinates and introductory differential equations.
Prerequisite: MTH 1001 or MTH 1010
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MTH 1010 Honors Calculus 1 Credit Hours: 4
Provides a rigorous treatment of differential calculus. Emphasizes proofs. Includes functions and graphs, limits and continuity, differentiation, chain rule, Taylor’s formula, calculation of the limit of a differentiable function, applications to maxima and minima, constructing the graph of a function and the Riemann integral.
Prerequisite: MTH 1000
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MTH 1011 Precalculus A Credit Hours: 3
Includes a review of operations on real numbers, algebraic expressions, linear equations, inequalities, exponents, polynomials, factoring, rational functions, roots, radicals, quadratics, graphing and difference functions.
Requirement(s): Passing score on TMTH mathematics placement exam
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MTH 1012 Precalculus B Credit Hours: 3
Includes exponential and logarithmic functions including properties and graphs, and trigonometric functions including properties and graphs, and inverses and identities.
Prerequisite: MTH 1011 or MTH 1701
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MTH 1020 Honors Calculus 2 Credit Hours: 4
Provides a rigorous treatment of integral calculus. Emphasizes proofs. Includes integration and applications of integration, further techniques of integration, improper integrals, integrals depending on a parameter, sequences and series, uniform convergence of series and improper integrals.
Prerequisite: MTH 1010
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MTH 1051 Introductory Discrete Mathematics Credit Hours: 3
Elementary coverage of discrete mathematics. Includes logical arguments, mathematical induction in proofs, sets and relations (extension to functions and their properties), elementary counting principles (inclusion-exclusion), permutations and combinations.
Requirement(s): Must be enrolled in Florida Tech Online and credit can only be applied toward business, communication, humanities, management, psychology or computer information systems degrees at Florida Tech
Prerequisite: MTH 1701
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MTH 1603 Applied Calculus and Statistics Credit Hours: 3
Includes derivatives and integrals, and their applications, and probability and statistics, and their applications.
Requirement(s): Credit cannot be applied toward any Florida Tech degree that requires MTH 1001 Calculus 1
Prerequisite: MTH 1000
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MTH 1701 College Algebra Credit Hours: 3
Real-number system; arithmetic operations with polynomials, special products and factoring; linear, fractional and quadratic equations; inequalities, exponents, radicals and absolute values; functions and graphs; and complex numbers, logarithms, logarithmic and exponential functions. Credit can only be applied toward business, communication, humanities, management, psychology or computer information systems degrees at Florida Tech.
Requirement(s): Passing grade on placement exam or prerequisite course
Prerequisite: MTH 0111 or MTH 1011
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MTH 1702 Applied Calculus Credit Hours: 3
Elements of differential and integral calculus with application to business, economics, management and the social and life sciences, as well as maxima, minima, rates, exponential growth and decay, and some techniques of integration.
Prerequisite: MTH 1000 or MTH 1701
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MTH 1703 Finite Mathematics Credit Hours: 3
Studies topics in mathematics especially applicable to business, such as linear models, linear programming, mathematics of finance, counting methods, probability and statistics.
Requirement(s): Must be enrolled in Florida Tech Online
Prerequisite: MTH 1701
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MTH 1801 Trigonometry Review Credit Hours: 1
Reviews trigonometric topics necessary for calculus, including trigonometric functions, graphs, identities and solving trigonometric equations.
Requirement(s): High school trigonometry, appropriate score on placement test and may be taken with MTH 1001 Calculus 1
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MTH 2001 Calculus 3 Credit Hours: 4
Cylindrical and spherical coordinates, vectors, functions of several variables, partial derivatives and extrema, multiple integral, vector integral calculus.
Prerequisite: MTH 1002 or MTH 1020
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MTH 2010 Honors Calculus 3 Credit Hours: 4
Provides a rigorous treatment of multivariable differential and integral calculus. Emphasizes proofs. Includes vector functions, functions of several variables, partial derivatives and extrema, implicit function theorem, multiple integrals, Fubini’s theorem, Gauss-Green theorem, and Stokes’ theorem.
Prerequisite: MTH 1020
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MTH 2051 Discrete Mathematics Credit Hours: 3
Formulation of precise definitions and their negations using propositional and predicate logic; argument analysis and proof techniques including induction; number theory; and sets, relations, functions, directed graphs and elementary counting arguments.
Requirement(s): Passing score on placement test or prerequisite course
Prerequisite: MTH 1000 or MTH 1001 or MTH 1010 or MTH 1702
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MTH 2201 Differential Equations/Linear Algebra Credit Hours: 4
First-order differential equations, linear differential equations with constant coefficients, first-order systems of differential equations with constant coefficients, numerical methods, Laplace transforms, series solutions, algebraic systems of equations, matrices, determinants, vector spaces, eigenvalues and eigenvectors.
Prerequisite: MTH 1002 or MTH 1020
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MTH 2202 Linear Algebra for Differential Equations Credit Hours: 1
Includes systems of equations, matrices, determinants, vector spaces, eigenvalues, and eigenvectors. Supplements differential equations.
Requirement(s): Instructor approval
Prerequisite: MTH 1002 or MTH 1020
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MTH 2332 Primer for Biomath Credit Hours: 1
Introduces the separate languages of mathematics and biology such that students from the different disciplines can efficiently develop a biomath glossary to communicate with one another. Focuses on the current research projects in biology and ecology, and the relevant mathematical analysis.
Requirement(s): Instructor approval
Prerequisite: MTH 1000
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MTH 2401 Probability and Statistics Credit Hours: 3
Random variables, expectations, sampling and estimation of parameters, normal and other distributions and central-limit theorem, tests of hypothesis, linear regression and design experiments.
Prerequisite: MTH 1002 or MTH 1020
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MTH 3010 Functions and Modeling Credit Hours: 3
Provides prospective secondary education teachers discussions of case studies from different applications. Emphasizes the formulation of models and their analysis using mathematical tools from calculus, differential equations, linear algebra and probability statistics.
Minimum student level - junior
Requirement(s): Instructor approval
Prerequisite: MTH 2201 or MTH 3200 Corequisite: MTH 3102
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MTH 3051 Combinatorics and Graph Theory Credit Hours: 3
Elementary and advanced counting techniques including permutations, combinations, multisets, inclusion-exclusion, generating functions, recurrence relations and topics in graph theory including graphs, trees, binary tree, graph traversals and network flow.
Prerequisite: (MTH 1001 or MTH 1010 ), and (CSE 1400 or MTH 2051 )
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MTH 3101 Complex Variables Credit Hours: 3
Algebra of complex numbers, elementary analytic functions, complex integration, series representations for analytic functions, residue theory and conformal mapping and its applications.
Prerequisite: MTH 2001 or MTH 2010
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MTH 3102 Introduction to Linear Algebra Credit Hours: 3
Includes vectors and matrices, linear equations, vector spaces and subspaces, orthogonality, determinants, eigenvalues and eigenvectors, and linear transformations. Introduces students to solution and manipulation of matrix equations using a standard package of mathematical software.
Prerequisite: MTH 1002 or MTH 1020
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MTH 3107 Optimization Credit Hours: 3
Provides a rigorous introduction to the fundamental theory of optimization. Includes linear programming, duality, sensitivity, convex analysis, nonlinear optimization, optimal control and Pontryagin’s maximum principle. Emphasizes problem formulation, analytical theory, algorithmic methods and recent applications.
Prerequisite: (MTH 2001 or MTH 2010 ) and (MTH 2201 or MTH 3200 )
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MTH 3200 Honors Differential Equations Credit Hours: 4
Provides analysis of differential equations. Emphasizes proofs. Includes existence and uniqueness theorems, Lyapunov stability theory, differential and integral inequalities, Gronwall-Bellman lemma, matrix exponential, differential equations depending on a parameter, continuity, and differentiability or a solution with respect to a parameter.
Prerequisite: (MTH 1002 or MTH 1020 ) and MTH 3102
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MTH 3210 Introduction to Partial Differential Equations and Applications Credit Hours: 3
Includes heat, wave and Laplace equations, initial and boundary value problems of mathematical physics and Fourier series. Also covers Dirichlet problem and potential theory, Dalambert’s solutions for wave equation, Fourier and Laplace transforms, and Poisson integral formula. Also includes PDEs in higher dimensions and special functions of mathematical physics.
Prerequisite: (MTH 2001 or MTH 2010 ) and (MTH 2201 or MTH 3200 )
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MTH 3220 Honors Partial Differential Equations Credit Hours: 3
Rigorously analyzes partial differential equations of mathematical physics, initial and boundary value problems for diffusion, waves and Laplace equations. Covers Fourier series, Fourier and Laplace transforms and Green’s functions. Emphasizes proofs. Also includes PDEs in higher dimensions, special functions and general eigenvalue problems.
Prerequisite: MTH 2010 and MTH 3200
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MTH 3301 Finite Differences and Finite Elements Credit Hours: 3
Numerical methods for BVPs in one and two dimensions; finite difference methods for solving PDEs, finite element methods, variational formulation and Galerkin approximations for ODEs and two-dimensional PDEs, and writing programs.
Prerequisite: (CSE 1502 or CSE 1503 or CSE 2050 ), and MTH 3210
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MTH 3401 Introduction to Number Theory Credit Hours: 3
Covers divisibility, prime numbers, unique factorization, congruencies. quadratic reciprocity, Diophantine equations, properties of rational numbers, polynomials and dynamical systems. Includes computation, formulating conjectures, writing proofs and extended projects.
Prerequisite: MTH 1002 or MTH 1020
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MTH 3663 Mathematical Methods for Biology and Ecology Credit Hours: 3
Examines biological processes and mathematically reformulates the biological information into linear and nonlinear systems, and differential equations, and studies these formulations via matrix algebra, numerical techniques, approximation theory, stability and bifurcation analysis.
Requirement(s): Instructor approval
Prerequisite: (MAR 2332 or MTH 2332 ), and (MTH 1002 or MTH 1020 )
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MTH 3993 Selected Topics on Biostochastics Credit Hours: 3
Studies the influence of stochasticity on biological processes using statistical methods and Markov processes to analyze vital biological rates, including mutation rates for disease-associated DNA repeats, organismal growth and per-capita survival.
Requirement(s): Instructor approval
Prerequisite: (MTH 1002 or MTH 1020 ), and (MAR 2332 or MTH 2332 )
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MTH 4051 Abstract Algebra Credit Hours: 3
Groups, cyclic groups, permutation groups, isomorphisms, cosets and Lagrange’s theorem, rings, integral domains, vector spaces, and fields.
Prerequisite: MTH 3102
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MTH 4082 Introduction to Parallel Processing Credit Hours: 3
Introduces parallel algorithm development, architectures for parallel computers, programming paradigms SIMD and MIMD for shared and distributed memory computers. Presents parallel algorithms for matrix computations, sorting and searching, and various numerical algorithms. Includes analysis of performance of parallel algorithms and scalability of algorithms.
Recommended: Programming ability in Fortran or C
Prerequisite: CSE 1502 or CSE 1503 or CSE 2010 or CSE 2050
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MTH 4101 Introductory Analysis Credit Hours: 3
Rigorous treatment of calculus. Includes sequences and series of real numbers, limits of functions, topology of the real line, continuous functions, uniform continuity, differentiation, Riemann integration, sequences and series of functions, Taylor’s theorem; uniform convergence and Fourier series.
Prerequisite: MTH 2001 or MTH 2010 or MTH 2201 or MTH 3200
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MTH 4105 Topology Credit Hours: 3
Metric and topological spaces, continuity, homeomorphism connectedness, compact spaces, separation axioms, product spaces, homeotypic and fundamental group.
Prerequisite: MTH 2051 and MTH 3102
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MTH 4111 Honors Analysis Credit Hours: 3
Covers topologies and metric spaces, continuous and semicontinuous functions, measures, Vitali and Besicovitch covering theorems and Lebesgue integration. Also covers Jordan decomposition of measures, Radon-Nikodym Theorem and Lp-spaces.
Prerequisite: MTH 2010 and MTH 3200
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MTH 4201 Models in Applied Mathematics Credit Hours: 3
Allows students to formulate and construct mathematical models that are useful in engineering, physical sciences, biological sciences, environmental studies and social sciences.
Minimum student level - junior
Requirement(s): Instructor approval
Prerequisite: MTH 2201 or MTH 3200
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MTH 4202 Stochastic Modeling Credit Hours: 3
Includes discrete and continuous time parameter Markov processes and their applications to genetics, biology, ecology, Poisson and renewal processes and applications to reliability and queueing, time series, Brownian motion, martingales, Îto calculus and applications to finance.
Prerequisite: (MTH 2001 or MTH 2010 ) and (MTH 2201 or MTH 3200 ) and MTH 2401
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MTH 4311 Numerical Analysis Credit Hours: 3
Introduces numerical methods for solving equations in one variable, polynomial approximation, interpolation, numerical differentiation and integration, initial-value problems for ODE and direct methods for solving linear systems.
Prerequisite: (CSE 1502 or CSE 1503 or CSE 2050 ), and (MTH 2201 or MTH 3200 )
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