Certificate in Dynamical Systems in Cognitive Science

Students will develop an understanding of problems introduced by a dynamical perspective on cognitive phenomena and of the theoretical and methodological means of addressing those problems as found in dynamical systems. Each student will apply this understanding and analysis to a content area of their choice including study of perception, cognition, motor behavior, neural networks, language, and development.

Specific Requirements

1. Prerequisites. Students should have taken courses in calculus (two to three semesters) at the very least. In addition, courses in differential equations, linear algebra, and (point set) typology would be helpful.
2. Required course. Students must take Q580 Introduction to Dynamical Systems in Cognitive Science.
3. Additional advanced electives. Students must complete an additional four courses selected from among the following: Q550 Models in Cognitive Science; P651 Perception/Action; X755 Philosophical Issues in Chaos and Nonlinear Dynamics; L541 Phonetics; L641 Advanced Phonetics; P561 Philosophy of Mind; B551 Element of Artificial Intelligence; B552 Knowledge-Based Computation; B553 Biomorphic Computation; B651 Natural Language Processing; B652 Computer Models of Symbolic Learning; B657 Computer Vision; B659 Topics in Artificial Intelligence; P717 Evolutionary Basis of Learning; P641 Dynamic Systems in Motor Organization and Motor Development; P615 Developmental Psychology; X755 Fractals; Q750 Neural Networks as Models of Cognition; P657 Theories of Development.
4. Qualifying exams. At least one question on dynamical systems must be included on the student's qualifying exams.
5. Dissertation. The student's dissertation must include application of dynamical systems to the specific problem under study.

Certificate in Human-Computer Interaction

Requirements for the Cognitive Science Certificate in HCI

(12 cr.) Students will demonstrate proficiency in a broad range of courses involving the applied cognitive analysis of human-computer interaction (HCI).The program will emphasize the theoretical and methodological issues associated with designing and evaluating cognitively compatible user interfaces to interactive technologies.

Specific Requirements

1. The student must submit a written proposal to the Certificate Steering Committee giving a detailed course of study. The proposal may be a revised draft of an earlier proposal, or an alteration of a previously approved proposal, and may contain a request for a revision of any of the stated requirements. The proposal must be approved by the Steering Committee. Students must take L542 Introduction to HCI (or equivalent).
2. Students for the Cognitive Science Certificate must complete an additional four courses selected from among the following to ensure courses are taken from at least two departments other than the student's home department:
   L578 User Interface Design for Information Systems
   L576 Digital Libraries
   L642 Information Usage and the Cognitive Artifact
   L697 Advanced Topics in Information Systems
   P450 Human Factors (graduate credit awarded with extra assignments)
   P544 Applied Cognition and Learning Strategies
   R685 Human-Computer Interface Design
   P600 Topical Seminar in Learning Cognition and Instruction
   A546 User Interface Programming
   P565-566 Software Engineering I-II
   B665/B666 Software Engineering Management/Implementation
   B581 Advanced Computer Graphics
   B582 Image Synthesis
   B689 Topics in Graphics and Human Computer Interaction
   B669 Topics in Database and Information Systems
   T541 Processes and Effects: Individual Level Theory and Research.
   T571 Applied Emotional and Cognitive Psychology Theory
   T602 Seminar in Processes and Effects: The Information processing of Media.
   S522 Digital Signal Processing
   S601 MIS Research Topics in Applications Systems Design
   S602 MIS Research Topics in Administration and Technology
3. 3. The student's dissertation must address issues related to human-computer interaction.

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Certificate in Language and Speech

Students will demonstrate proficiency in a broad range of topics that focus on issues related to language and speech. The program of study will emphasize mastery of language structure, language processing, and computational approaches to linguistic analysis. An independent research project exploring some facet of language and speech will be required.

Specific Requirements

1. Students must complete at least five approved graduate courses in the area of language and speech.
2. Courses in language and speech must be taken in at least two different departments.
3. Courses must include at least one dealing with language structure and at least one dealing with language processing or acquisition. Courses in language structure include most linguistics courses, Philosophy P520, and Philosophy P720. Courses in processing and acquisition include Psychology P623, Computer Science B651, Speech and Hearing Sciences S530, and periodic seminars on language-related topics in these departments.
4. Students must demonstrate familiarity with computer modeling of cognitive processes. This requirement can be met through course work (Q580, Psychology P556, or various courses in computer science, including B551, B552, B553, B651, and B652) or through a written report of research which includes a computer program written by the student. This report could be a master's or Ph.D. thesis.
5. The student's cognitive science qualifying examination must include at least one section on a topic in language and speech.
6. The student's dissertation must address issues related to language and speech.

Certificate in Logic, Language, and Computation

The area covered by this certificate is applied logic, i.e., logic as applied to information processing. It is an area of research which is of increasing importance in artificial intelligence and computer science. Students will demonstrate their mastery of courses having to do with symbolic information processing.

Specific Requirements
The requirements include at least 18 credit hours of course work (including research and seminars). At least two courses must be taken outside the student's home department. Each proposal for certification would need to demonstrate both breadth and depth in the general area of logic, language, and computation.

1. Prerequisites. Students should demonstrate mathematical maturity by having taken one or more courses in the following: set theory, discrete mathematics, abstract algebra, linear algebra, topology, and mathematical logic.
2. Students must take Philosophy P505-P506 Introduction to Logic Theory, or demonstrate equivalent knowledge of completeness for first-order logic, together with the Gödel incompleteness and undecidability results. If students demonstrate knowledge of this material, they may take other courses from the lists of advanced courses given below.
3. Students must select at least two or more advanced courses from a list that includes B501 Theory of Computing; B510 Introduction to Applied Logic; P550 Systems of Modal Logic; P551 Philosophy and the Foundations of Mathematics; P552 Philosophy of Logic; P600 Visual Reasoning; L626 Semantics of Natural Language; L640 Mathematical Methods in Linguistics; M682 Model Theory; M689 Logic and Decidability; and M583 Set Theory.
4. Students must take a research seminar, either one generally designated as such (e.g., P750 Logic Theory, P751 Logic, or M781-782 Selected Topics in Mathematical Logic) or another seminar approved by the Logic Certificate Committee.
5. Students will be expected to take active part in the weekly Logic Seminar.
6. The student's dissertation must address issues in the general area of logic, language, and computation.

Certificate in Modeling in Cognitive Science

Students will demonstrate their mastery with a broad selection of courses involving mathematical and computer simulation approaches to modeling, with a specialization in at least one area of modeling, and with a research project involving modeling. The program will emphasize both basic techniques and applications in particular content areas.

Specific Requirements

1. Students must fulfill 18 credit hours of courses in the modeling area. Required course: Q550 Models in Cognitive Science, and at least five additional courses in modeling (15 credits minimum).
2. These courses must demonstrate both breadth and specialization, and a grasp of both methods and applications. The course options given below provide examples of courses currently appropriate to accomplish these goals.
   The courses should include at least one course in basic techniques and methods (P605 Introduction to Mathematical Psychology; Q580 Introduction to Dynamic Systems in Cognitive Science; M447-M448 Mathematical Models and Applications; P550 Systems of Modal Logic); and at least one course in applications (Q750 Neural Networks as Models of Cognition; B651 Natural Language Processing; B652 Computer Models of Symbolic Learning; L611 Models of Linguistic Structure; P648 Choice Behavior). The selected courses must be taken from at least two departments excluding courses listed only in the Cognitive Science Program. These courses may not include a course whose content consists almost entirely of a research project (such courses and projects are separately covered below).
3. Students must demonstrate a grasp of modeling in research, either through course work (Q689 Computer Simulation Project; P556 Independent Computer Project), or through a written report of research involving modeling (includes master's or Ph.D. projects).
4. The Ph.D. qualifying examination in the Cognitive Science Program must contain at least one section on a modeling-related topic.

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Courses

Q520 Mathematics and Logic for Cognitive Science (3 cr.) Covers the mathematical backgrounds of contemporary work in cognitive science. Includes basic material on both the symbolic and connectionist approaches: machines, logics, networks, games, and probability.

Q530 Programming Methods in Cognitive Science (3 cr.) P: some programming experience. An introduction to computer programming methods for artificial intelligence and computer simulation of cognitive models. Emphasis on the necessary data structures and their applications to cognitive science. Programming projects may be related to state-space search for problem solving and game playing, production systems, and cognitive modeling tasks including memory models and neural simulations.

Q540 Philosophical Foundations of the Cognitive and Information Sciences (3 cr.) Causal issues: cognitive architecture, physical embodiment, neuroscience, networks, dynamic systems. Semantic issues: meaning, interpretation, representation, information flow. The role of both in language, logic, reasoning, action, perception, learning, categorization, and consciousness. Emphasis on writing, analysis, and exposition.

Q550 Models in Cognitive Science (3 cr.) P: Q530 and Q560. An introduction to modeling in various areas of cognitive science, including computer simulation models of complex cognition, models within artificial intelligence, models based on neural mechanisms and networks, and formal and mathematical models in areas such as psychology, linguistics, and philosophy.

Q551 The Brain and Cognition (3 cr.) An introduction to neural mechanisms underlying complex cognition, and a survey of topics in neuroscience related to cognition. It provides a solid background in human biopsychology.

Q560 Experimental Methods in Cognitive Science (3 cr.) Specific goals of this course include: a) an understanding of experimental design and the resources for future studies; b) an understanding of converging measures and programmatic research; c) discussion of current controversies in experimental design; and d) hands-on experience designing, conducting, and critiquing experiments.

Q580 Introduction to Dynamic Systems in Cognitive Science (3 cr.) Introduction to linear and nonlinear dynamic systems including catastrophe and chaos theory. Main aspects include: 1) understanding the basic quantitative theory and techniques of dynamic systems, 2) illustration of major concepts and systems behavior with the aid of computer graphics and numerical software and 3) examples from cognitive science.

Q689 Computer Simulation Project (3 cr.) The student will develop and test a computer simulation of some aspect of cognition. The student will produce a working, documented computer program, and a paper describing both the workings of the program and tests of the program (either theoretical tests, tests of the program against data, or both).

Q700 Seminar in Cognitive Science (3 cr.) Intensive study of specific topics in cognitive science. Topics and instructors will change regularly. May be repeated.

Q733 Colloquium Series (0-1 cr.) Four semesters required for majors, two for credit. The class will meet every week. At some meetings, invited speakers will present colloquia; at others students will present their own work. Each student will be required to make a presentation at least once during the year the course is taken for credit.

Q750 Neural Networks as Models of Cognition (3 cr.) Topical seminar featuring analysis of models based on neural networks. Will usually feature extensive exploration of one or more examples of models of this type.

Q799 Readings and Research in Cognitive Science (1-3 cr.) Tutorial research and study in specialized topics in cognitive science.

Q899 Dissertation Research (1-12 cr.) Dissertation research in specialized topics in cognitive science.

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Cross-Listed Courses

The following courses may be used to satisfy the credit hour requirements of the Cognitive Science Program. Additional courses whose content in a given year is sufficiently relevant to cognitive science (including seminars, new courses, or courses with topical content) may also be used to satisfy the requirements, conditional upon acceptance by the Cognitive Science Program of a petition including justification.

Anthropology
L580 Semiotics and Human Ethology (2 cr.)
L840 Ethnolinguistic Seminar (1-2 cr.)

Kelley School of Business
S505 Introduction to Management Information Systems (3 cr.)
S535 Advanced Topics in Management Information Systems (3 cr.)
S560 Management Information Systems Design and Applications (3 cr.)
S600 Research Design and Methods in Management Information Systems (3 cr.)
S601 Management Information Systems Research: Topics in Application Systems Development (3 cr.)
S602 Management Information Systems Research: Topics in Administration and Technology (3 cr.)

Communication and Culture
S523 Theory and Research in Persuasion (3 cr.)

Computer Science
B501 Theory of Computing (3 cr.)
B502 Computational Complexity (3 cr.)
B510 Introduction to Applied Logic (3 cr.)
B521 Programming Language Principles (3 cr.)
B522 Programming Language Foundations (3 cr.)
B551 Elements of Artificial Intelligence (3 cr.)
B552 Knowledge-Based Computation (3 cr.)
B553 Biomorphic Computation (3 cr.)
B621 Advanced Concepts in Programming Languages (3 cr.)
B622 Programming Language Type Systems (3 cr.)
B651 Natural Language Processing (3 cr.)
B652 Computer Models of Symbolic Learning (3 cr.)
B657 Computer Vision (3 cr.)
B659 Topics in Artificial Intelligence (1-6 cr.)

School of Education
H650 Theory of Knowledge and the Educational Process (3 cr.)
P544 Applied Cognition and Learning Strategies (3 cr.)
P530 Instructional Psychology (3 cr.)
P540 Learning and Cognition in Education (3 cr.)
P550 Cognition and Semiotics (3 cr.)
P591 Cognitive Assessment and Intervention (3 cr.)
P600 Topical Seminar in Learning, Cognition, and Instruction (3 cr.)
P640 Thinking and Learning in Social Contexts (3 cr.)
R542 Instructional Graphics Design (3 cr.)
R561 Evaluation and Change in the Instructional Development Process (3 cr.)
R586 Practicum in Instructional Systems Technology (1-3 cr.)
R611 Instructional Technology Foundations (1 cr.)
R622 Learning Environments Design (3 cr.)
R630 Learner Analysis in the Instructional Technology Process (3 cr.)
R695 Topical Inquiry Seminar in Instructional Systems Technology (3 cr.)
Y530 Topics in Computer Analysis of Educational Data (1-3 cr.)

Folklore and Ethnomusicology
F714 Paradigms of Ethnomusicology (3 cr.)
F722 Colloquium in Theoretical Folklore/Ethnomusicology (3 cr.)
F738 Psychological Issues in Folklore (3 cr.)

French and Italian
F576 French Linguistics I (Phonology) (3 cr.)
F577 French Linguistics II (Syntax and Semantics) (3 cr)
F580 Introduction to French Applied Linguistics (3 cr.)
F603-604 History of the French Language (3 cr.)
F670 Phonological Structure of French (3 cr.)
F671 Syntactic Structure of French (3 cr.)
F672 French Sociolinguistics and Dialectology (3 cr.)
F673 Topics in the Learning and Teaching of French (3 cr.)
F675 Studies in French Linguistics (3 cr.)
F676 Structure and Sociolinguistics of Haitian Creole (3 cr.)
F677 French Lexicology and Lexicography (3 cr.)
F678 French Morphology (3 cr.)

School of Health, Physical Education, and Recreation
K542 Neuromuscular Control of Movement (3 cr.)

History and Philosophy of Science
X551-X552 Survey of the Philosophy of Science I-II (3 cr.)
X755 Special Topics in the Philosophy of Science (2-5 cr.)

School of Library and Information Science
L542 Introduction to Human-Computer Interaction (HCI) (3 cr.)
L570 Online Information Retrieval (3 cr.)
L578 User Interface Design for Information Systems (1-3 cr.)
L597 Topics in Library and Information Science (1-4 cr.)
L642 Information Usage and the Cognitive Artifact (3 cr.)

Linguistics
L503 Survey of Linguistics I (3 cr.)
L530 Introduction to Historical Linguistics (3 cr.)
L541 Introductory Phonetics (4 cr.)
L542 Phonological Analysis (3 cr.)
L543 Syntactic Analysis (3 cr.)
L544 Morphological Analysis (3 cr.)
L545 Computation and Linguistic Analysis (3 cr.)
L611 Models of Linguistic Structure (3 cr.)
L614 Alternative Syntactic Theories (3 cr.)
L625 Bilingualism and Language Contact (3 cr.)
L630 Lexicology (3 cr.)
L641 Advanced Phonetics (3 cr.)
L642 Advanced Phonological Description (3 cr.)
L643 Advanced Syntax (3 cr.)
L645 Advanced Natural Language Processing (3 cr.)
L710 Seminar in Acoustic Phonetics (4 cr.)
L712 Seminar in Phonology (4 cr.)
L714 Seminar in Syntax (4 cr.)
L780 Seminar in Structural Semantics (4 cr.)
T522 Survey of Applied Linguistics (3 cr.)
T532 Second-language Acquisition (3 cr.)
T632 Current Research in Second-Language Acquisition (3 cr.)
T711 Seminar in Applied Linguistics (4 cr.)

Mathematics
M403-M404 Introduction to Modern Algebra I-II (3-3 cr.)
M441-M442 Introduction to Partial Differential Equations with Applications I-II (3-3 cr.)
M447-M448 Mathematical Models and Applications I-II (3-3 cr.)
M463-M464 Introduction to Probability Theory I-II (3-3 cr.)
M540-M541 Partial Differential Equations I-II (3-3 cr.)
M544-M545 Ordinary Differential Equations I-II (3-3 cr.)
M546 Control Theory (3 cr.)
M548 Mathematical Methods for Biology (3 cr.)
M560 Applied Stochastic Processes (3 cr.)
M563-M564 Theory of Probability I-II (3 cr.)
M568 Time Series Analysis (3 cr.)
M569 Statistical Decision Theory (3 cr.)
M571-M572 Analysis of Numerical Methods I-II (3-3 cr.)
M584 Recursion Theory (3 cr.)

School of Music
E519 Psychology of Music (3 cr.)
E530 Learning Processes in Music (3 cr.)
T561 Music Theory: Variable Topics (3 cr.) (when appropriate)

Neural Science
N500 Neural Science I (4 cr.)
N501 Neural Science II (3 cr.)
N510 Cellular and Molecular Neuroscience (3 cr.)
N550 Seminar: Sensorimotor Neuroplasticity (3 cr.)
N611 Neural Basis of Sensory Function (3 cr.)
N613 Neural Mechanisms of Hearing (3 cr.)

School of Optometry
V767 Electrophysiology of Vision (3 cr.)
V791 Quantitative Methods for Vision Research (3 cr.)

Philosophy
P350 Logic of Sets (3 cr.)
P351 Formal Semantics (3 cr.)
P505-P506 Logical Theory I-II (3-3 cr.)
P520 Philosophy of Language (3 cr.)
P550 Systems of Modal Logic (3 cr.)
P551 Philosophy and Foundations of Mathematics (3 cr.)
P552 Philosophy of Logic (3 cr.)
P560 Metaphysics (3 cr.)
P561 Philosophy of Mind (3 cr.)
P562 Theory of Knowledge (3 cr.)
P570 Philosophical Psychology (3 cr.)
P571 Philosophy of Nature (3 cr.)
P720 Seminar: Philosophy of Language (4 cr.)
P750 Seminar: Logical Theory (4 cr.)
P751 Seminar: Logic (4 cr.)
P760 Seminar: Metaphysics and Epistemology (4 cr.)

Political Science
Y673 Empirical Theory and Methodology (3 cr.) (When Appropriate)

Psychology
P417 Animal Behavior (3 cr.)
P435 Laboratory in Human Learning and Cognition (3 cr.)
P438 Language and Cognition (3 cr.)
P502 Developmental Psychology (3 cr.)
P503 Complex Cognitive Processes (3 cr.)
P505 Physiological Psychology (3 cr.)
P506 Sensory Psychology (3 cr.)
P507 Theories of Learning (3 cr.)
P510 Principles of Research in Psychology (2 cr.)
P511 Social Psychology (3 cr.)
P514 Methods in Biopsychology (2 cr.)
P517 Methods in the Direct Observation of Behavior (3 cr.)
P526 Neurobiology of Learning and Memory (3 cr.)
P527 Developmental Psychobiology (3 cr.)
P528 Experimental Analysis of Economic Behavior (3 cr.)
P541 Individual Differences in Intellectual Abilities (3 cr.)
P553-P554 Advanced Statistics in Psychology I-II (3-3 cr.)
P555 Computer Application in Psychological Research (3 cr.)
P557 Representation of Structure in Psychological Data (3 cr.)
P564 Psychophysics (3 cr.)
P565 Psychophysics of Vision (3 cr.)
P605 Introduction to Mathematical Psychology (3 cr.)
P615 Developmental Psychology I (3 cr.)
P616 Advanced Child Psychology (3 cr.)
P620 Attitudes and Attitude Change (3 cr.)
P623 Psychology of Language (3 cr.)
P635 Applied Human Learning (3 cr.)
P638 Experimental Psychology of Reading (3 cr.)
P643 Perception and Sensory Memory (3 cr.)
P644 Attention and Short-Term Memory (3 cr.)
P645 Learning and Long-Term Memory (3 cr.)
P646 Knowledge Systems and Problem Solving (3 cr.)
P647 Decision Making under Uncertainty (3 cr.)
P648 Choice Behavior (3 cr.)
P651 Perception/Action (3 cr.)
P653 Analysis of Variance (3 cr.)
P654 Multivariate Analysis (3 cr.)
P658-P659 Mathematical Models in Psychology I-II (4-4 cr.)
P665 Psychophysics of Hearing (3 cr.)
P747 Seminar in Cognitive Psychology (1-3 cr.)
P820 Social Perception (3 cr.)

Slavic Languages and Literatures
L599 Prague School Linguistics and Poetics (3 cr.)

Sociology
S650 Statistical Techniques in Sociology (3 cr.)
S651 Topics in Quantitive Sociology (3 cr.)
S652 Topics in Qualitative Methods (3 cr.)
S656 Mathematical Applications in Sociology (3 cr.)
S660 Advanced Topics (3 cr.) (When Appropriate)
S700 Topical Seminar (3-12 cr.) (When Appropriate)

Speech and Hearing Sciences
S501 Neural Bases of Speech and Language (3 cr.)
S502 Acoustic Phonetics (2 cr.)
S515 Topical Seminar in Speech Pathology (1-6 cr.)
S520 Theoretical Bases for Phonological Disorders (3 cr.)
S522 Digital Signal Processing (3 cr.)
S532 Early Communicative Development: Intervention Issues (3 cr.)
S534 Language Development in School Age Children (3 cr.)
S537 Diagnosis and Management of Adult Aphasia (2 cr.)
S538 Language Development in Atypical Populations: Learning Disabilities, Autism, and Mental Retardation (3 cr.)
S545 Adult Cognitive-Communication Disorders (3 cr.)
S550 Stuttering (2 cr.)
S555 Motor Speech Disorders (3 cr.)
S578 Audiological Instrumentation and Calibration (3 cr.)
S601 Experimental Phonetics II (3 cr.)
S674 Advanced Seminar in Audiology (1-3 cr.)
S702 Acoustic Research in Speech (3 cr.)

Telecommunications
T552 Cognitive Approaches to Media (3 cr.)
T571 Applied Cognitive and Emotional Psychology (3 cr.)
T602 Topical Seminar in Telecommunications Processes and Effects (1-3 cr.)
T641 Children and Media (3 cr.)

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