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Graduate Program in Law

Detalhes
Quarta, 11 Julho de 2018

Master degree

Grade 4

Structure of the Curriculum


Total amount of class hours: 450
Total amount of credits:
Version: 2014/1

Nucleus of Common Obligatory Subjects

Code Discipline School Hours Credits Summary
P9569 Research Methodology in Human and Social Sciences 30 2
Complex thinking and organizing principles of knowledge. Paradigm (s) and the production of research and knowledge. Research in human and social sciences. The forms of knowledge and the scientific method. Scientific research and its classifications: research typologies. Academic processes in the Graduate: individual study, reading, writing. Academic-scientific works: memorial, articles, essays, reports, abstracts. Formalization of scientific research: phases and stages of projects and reports. Technical standards for the preparation and presentation of research: projects, articles, theses. The question of ethics in research.
P0316 Critical Theory of Human Rights 30 2
Premodern theoretical propositions on the origins of human rights. Humanistic Jusnaturalism and the Modern Bases of Human Rights. National State and Human Rights. Philosophical Foundations of Human Rights and the problem of its historicity. Universality and particularism of Human Rights. Identity and recognition in contemporary society. Interculturality and human rights. Human rights in Latin America and Brazil. Human rights and minorities. Decolonial thinking and human rights. Human rights and non-Western cultures.
P0317 Theories of Democracy and the State of Law 30 2
State and power: the specificity of the state phenomenon. The process of state formation. The State and the concept of sovereignty: internal dominion and external independence. The State and the Right: constitution, division of powers and fundamental rights. State, decentralization of power and autonomy. State, democracy and law: the rule of law. Democracy, human rights and political pluralism. The decline of the state and the future of democracy.
Total: 90 6

Line 1 - Fundaments and Concretization of Human Rights

Code Discipline School Hours Credits Contents
P0318 Biopolitics and Human Rights 30 2
Biopolitics and the Critique of Human Rights in Hannah Arendt. Michel Foucault: from disciplinary society to biopower society. Giorgio Agamben and the resumption of the concept of biopolitics as a key to understanding contemporary society and the systematic violation of Human Rights. State of exception and the field as paradigms of contemporary politics. Biopolitics and the immune paradigm of Roberto Esposito. The biopolitical resistance in Giorgio Agamben, Antonio Negri and Michael Hardt.
P1192 Human Rights, Recognition and Difference 30 2
Identity and recognition in contemporary society. National identity, globalization and local cultures. Human rights and minorities. Multiculturalism, interculturality and human rights. The debate between liberals and communitarians on recognition. Human rights, sexuality and gender issues. Body, recognition and identity. The indigenist struggles in the Brazilian and Latin American scene. Human Rights and the Black Question in Brazil. People with disabilities and inclusion. Religious diversity and Human rights. Immigrants, refugees and cosmopolitanism. Affirmative action policies in Brazil and comparative law. Redistribution or recognition?
P1193 Human Rights, Violence and Social Control 30 2
Typology of theories of deviant behavior and the crisis of legal-penal discourse. Political and ideological elements of penitentiary systems. Criminal systems and social exclusion. The culture of behavioral control. Social control and dangerous classes: who was and who are the enemies of the penal systems? State systems of criminal prosecution and human rights in Latin America. The human rights of victims. Retributive criminal justice, restorative criminal justice and criminal justice. The future of social control policies and the responses to delegitimisation and crisis.
P1194 State, Civil Society and Citizenship in Brazil 30 2
The formation of the Brazilian State. The construction of civil society in Brazil. State, civil society and citizenship: a different form of configuration. The emergence of social movements and the fight against inequalities. The new configurations of civil society and the alternatives of social inclusion: classic struggles and forms of self-organization. Modern Brazilian society, public policies and the configuration of society in networks.
P0324 Gender and Human Rights 30 2
Gender theories and their relation to the study of power, democracy, the State, and public policies. Gender as a construction of Feminism. Feminist theories. Intersectionality: race, class, generation. Body, gender and sexuality: bio-psycho-historical and social aspects. Gender, gender, sexual orientation and gender identity. Human Rights of Women. Gender Equality and Human Rights.
P9578 History, Memory and Human Rights 30 2
Studies on the theoretical and methodological unfolding of memory in contemporary society. Social memory, collective and individual as an instrument of identity elaboration. The memory linked to the processes of forgetting the rights of different social groups in Brazilian society. Elaboration of schemes - concepts of notions of places of memory and social identity in the - for the visualization of the human rights of the different groups that compose the current society.
Total: 180 12

Line 2 - Democracy, New Rights and Development

Code Discipline School Hours Credits Contents
P0319 Human Development, Social Transformations and Resilience of Law 30 2
Human development and social inequality, Social Transformations and implications for human development; Systemic Constructivism, New Technologies and Human Rights; Observation, Communication and Decision on Human Rights; Resilience of Law, Change Management and Human Development; Empirical Research, Transdisciplinarity and Learning for Human Rights; Evolution of the Law from a systemic perspective; Trust, Organization and Decision and in favor of Human Rights.
P0320 Right to City, Social Inequalities and Human Rights 30 2
From the origin of cities to urban society. Right to the city. Territory, urban reform and citizenship. Social inequalities in the 21st century. Human rights to sustainable cities. Sustainability in the context of Latin American cities.
P9575 Human Rights, Environment and Sustainability 30 2
The Right to the Environment ecologically balanced as Fundamental Law. The legal protection of the environment and sustainability. Environmental Knowledge, Environmental Education and the consumer society. Climate change, environmental crisis and globalization. Socio-environmental responsibility, the green economy and the right to ecologically balanced development. Policies and instruments of protection / local, national and international environmental management. Socio-environmentalism, traditional communities, biopiracy and biodiversity. Human rights, citizenship and fight for Environmental Justice.
P1195 Globalization, Regulation and Democracy 30 2
Globalization: economy, law and democracy. The dangers of the global order: sovereignty and citizenship. Globalization and the emptiness of international public law. The deregulated powers of the market. Capitalism: between liberalism and neoliberalism. Neoliberal economic regulation. The guarantee of democracy in the age of globalization. The rule of law in the crisis of political democracy. The rule of law in the crisis of civil democracy. The rule of law and violations of the rights of freedom. The rule of law and violations of social rights. The dimensions of international democracy: for a global public sphere.
P0321 Public Policies, Right to Health and Bioethics 30 2
History, concept and social and legal evolution of public policies, health, and bioethics, as well as their respective methods of analysis in the context of the debate on the Contemporary State and its transformations. Public policies, health and complex dialogues with bioethics, based on interrelationships between State, civil society, and private sector. The paradox of health legislation after 1988 as a citizen's right and the duty of the State.
P0322 Information Society, Education in Human Rights and Citizenship 30 2
Information Society, culture and human rights. The Right to Information and Communication. Media, citizenship and human rights. Flows of information, new technologies and new media. Media languages, culture and human rights. Cultural frontiers and human rights. Cultural Mediations. Education in Human Rights.
Total: 180 12

Nucleus of Elective Subjects

Code Discipline School Hours Credits Contents
P9583 Special Topic 30 2
Specific contents to be given according to the needs and emerging demands (current aspects of human rights), with a Teaching Plan approved by the Program Collegiate.
Total: 30 2

Nucleus of complementary Subjects

Code Discipline School Hours Credits Contents
P9587 Teaching Traineeship 30 2
Development of teaching activities in the undergraduate course in Law and related areas. It is a compulsory course for all Master's students who hold a CAPES scholarship.
P0323 Internship Abroad 30 2
Development of a set of activities abroad, provided that it is authorized by the Program Collegiate, through the presentation of a work plan and the acceptance of a foreign teacher, under the coordination of the tutor in the Master Course. The minimum period of internship abroad is 30 days.
P9588 Methodology of Higher Education 30 2
Teaching today: theoretical-methodological challenges. Learning: from a dual behavioral perspective to cognitive, interactionist and constructivist propositions. University teaching: conceptualization about the components of a school education process. Planning: pedagogical project, program plan and class.
Total: 90 6

Nucleus of Applied Research

Code Discipline School Hours Credits Contents
P1199 Master Thesis 105 7
It is intended to carry out the research and the preparation of the Master thesis itself, and the defense before the examining bank.
P1198 Thesis Project 30 2
It is intended to carry out the research, including individual activities (Guidelines), for the conclusion and defense of the master thesis project.
P1197 Thesis Seminar 15 1
Planning and Master thesis project. Definition of the study topic. Elaboration of the objectives and justification of the research. Construction of the theoretical framework of reference. Description of methodological procedures. Schedule of execution of activities. Defense of the Master thesis project. Structuring the thesis. Preparation of thesis defense.
Total: 150 10

Graduate Program in Law

Detalhes
Quarta, 11 Julho de 2018

Master degree

Grade 4

Scholarships


Possibilities of scholarships for the Master’s degree:


  • UNIJUÍ Master’s Scholarships are granted in quotas defined annually. Partial scholarships of 50% of the monthly fee are granted in addition to full scholarships. In order to get the scholarship it is necessary to obey a ranking order of the students in the selection process established by the Program and not have an employment at UNIJUÍ. In addition, you must have at least two shifts a week to dedicate yourself to the activities of the Program when you benefit from a partial scholarship, and four shifts a week when you benefit from a full scholarship. Check out the resolution (Portuguese only).

Development agencies  like CAPES / FAPERGS, CNPq, and CAPES eventually grant through specific notices and regulations.


Graduate Program in Law

Detalhes
Quarta, 11 Julho de 2018

Master degree

Grade 4

Linguistic Proficiency


Within a period of 24 months, and before the thesis Defense Board, the student must  have passed a foreign language proficiency examination carried out by the Department of UNIJUÍ responsible for the area of letters or by an external institution officially accredited for this purpose by the Official bodies of promotion to the Stricto Sensu Postgraduate Courses in the Country.


The approval of the proficiency exam for the Master's Course must be in a foreign language, and the English, Spanish, French, Italian and German languages are accepted by the Program.


Graduate Program in Law

Detalhes
Quarta, 11 Julho de 2018

Master degree

Grade 4

History and Proposal of the Program


The creation of the Graduate Program in Law and the implementation of the Master Course in Human Rights in 2012 was the result of a work carried out by the Department of Legal and Social Sciences, by the Master Course in Development (particularly its research line in Law, Citizenship and Development) and the Research Group on Human Rights and Development. The Program aims at generating and consolidating research and scientific production through the training of researchers, teachers and other professionals qualified to work in the field of law and related areas. It has interdisciplinarity as a methodological reference as well as the recognition, institutionalization and protection of human rights as its fundamental subject. The program also intends to intervene in reality through critical reflection and the search for alternatives that may contribute to a greater awareness of the centrality of human rights, democratic societies and their greater effectiveness within States and at international level.


Target Audience


The main target audience of the Master Course are Law Graduates and professionals from related areas.


Graduate Program in Law

Detalhes
Quarta, 11 Julho de 2018

Master degree

Grade 4

Faculty and Coordinator


Permanent Faculty


Name E-mail Title Lattes 
André Leonardo Copetti Santos andre.leonardo@unijui.edu.br Doctor View lattes
Daniel Rubens Cenci danielr@unijui.edu.br Doctor View lattes
Doglas Cesar Lucas doglasl@unijui.edu.br Doctor View lattes
Elenise Felzke Schonardie elenise.schonardie@unijui.edu.br Doctor View lattes
Enio Waldir da Silva eniowsil@unijui.edu.br Doctor View lattes
Gilmar Antonio Bedin (Coordenador) gilmarb@unijui.edu.br Doctor View lattes
Ivo dos Santos Canabarro ivo.canabarro@unijui.edu.br Doctor View lattes
Janaína Machado Sturza janaina.sturza@unijui.edu.br Doctor View lattes
Luís Gustavo Gomes Flores luis.flores@unijui.edu.br Doctor View lattes
Maiquel Ângelo Dezordi Wermuth maiquel.wermuth@unijui.edu.br Doctor View lattes
Mateus de Oliveira Fornasier mateus.fornasier@gmail.com Doctor View lattes
Véra Lucia Spacil Raddatz verar@unijui.edu.br Doctor View lattes


Collaborating Faculty


Name E-mail Title Lattes 
Anna Paula Bagetti Zeifert anna.paula@unijui.edu.br Doutor View lattes
Jóice Graciele Nielsson joice.nielsson@unijui.edu.br Doutor View lattes

Graduate Program in Law

Detalhes
Quarta, 11 Julho de 2018

Master degree

Grade 4

Concentration area and lines of research


Fundamentals and Implementation of Human Rights


The problem of the founding of human rights. Historicity and universality of human rights. State, citizenship and fundamental rights. State, public policies and social inclusion in Brazil. Cultural diversity, minorities and recognition. Social vulnerability, violence and citizenship. Justice system and human rights. History, memory and human rights.


Research Line: Democracy, New Rights and Development


Rule of law, human rights and equity. Information society, human rights and citizenship. Globalization, transnationality and democracy. Environment, sustainability and development. Consumer society and citizenship. The right to the city, democracy and social inclusion. Human rights, new technologies and socio-legal resiliency. Education in Human Rights, public policies and the right to health.


Graduate Program in Mathematical Modeling

Detalhes
Quarta, 11 Julho de 2018

Master's and Doctoral Degree

Grade 4

Structure of the Curriculum


Total amount of class hours: 480
Total amount of credits: 32
Version: 2015/1


Master of Science Degree

Obligatory Subjects

Code Subject School Hours Credits Summary
P0075 Scientific Computing I 60 4
Notions of Programming Logic. Conceptualization of Algorithms. Basic components (variable, constant, assignment, instruction, operators and expressions). Use of control structures (selection and iteration). Basic data types (variable types, strings, vectors, arrays). Construction and declaration of new types. Sub-Algorithms
P0076 Ordinary Differential Equations 60 4
First order differential equations. Theorems of existence and oneness. Methods of resolution. Differential equations of order n. Theorems of existence and oneness. Methods of resolution. Linear differential equations. Linear differential equations solutions theory. Systems of differential equations. Theorems of existence and oneness. Laplace transform and its application to differential equations. Theory of stability. Stability settings. Stability of linear and non-linear systems. The second Lyapunov method. Lyapunov theorems. Applications of Ordinary Differential Equations
P0078 Numeric Methods 60 4
Numerical methods of algebra. Linear systems. Direct and iterative methods. Criteria for convergence and acceleration. Systems of nonlinear equations and optimization problems. Convergence criteria. Newton's method. Methods of descent (by coordinates, by gradient). Interpolation and numerical derivation. Numerical Integration. Ordinary Differential Equations and Systems. The problem of Initial Value (of Cauchy). Runge-Kutta methods (explicit and implicit). Methods Predictor-Corrector (Adams, Milne). Consistency, stability, and convergence of methods. Border Value Problem. Shooting Methods. Finite difference methods. Approximate analytical methods.
P0077 Mathematical Modeling I 30 2
Basic concepts in mathematical modeling: definitions, applications, and characterization. Modeling techniques: white box, black box, gray box. Main steps of mathematical modeling: problem definition (parameters, variables), formulation of the phenomenon, determination of parameters, experimentation, validation, analytical and/or numerical resolution, analysis and modification. Examples of applications of mathematical modeling in problems of mechanical systems.
P0079 Introduction to Research 30 2
The proposed study themes will approach research as a factor of knowledge production; Criteria of scientific knowledge; Nature and assumptions of scientific knowledge; Phases of the construction and elaboration of the research project; Presentations on funding and research promotion agencies and the applicability of didactic strategies in science. In addition, the art of scientific writing and the processes of reviewing and publishing scientific journals will be addressed.
Total: 240 16

Subjects of Applied Research

Code Subject School Hours Credits Summary
P0081 Seminar on the Thesis 30 2
This course marks the moment of presentation and collective discussion of the master's research project, regarding the delimitation of the subject, the definition of the problem, the objectives, the theoretical- methodological mediation and the schedule. Scheduled for the month of March and April of the third semester of the course, the Thesis Seminar course consists of an expanded and collective discussion of the master's research intentions, providing contributions from colleagues and invited teachers for these sessions.
P0082 Thesis Work 90 6
This course aims to offer a space for the student to perform the practical and theoretical activities related to the execution and writing of the Thesis document.
P0080 Research Work 30 2
This course aims to offer a space for the student to start the research work, which will be developed during the Master Course. In this context, the definition of the research project is defined with regard to the delimitation of the topic, the definition of the problem, as well as the survey of the material that will support the research and the bibliographic review. In order to receive the credits of this subject, the master must present proof of publication of the article, of the research initiated in this discipline, in a scientific and/or periodic quality event, as established in Table 5 of the Program Rules
Total: 150 10

Complementary Subjects

Code Subject School Hours Credits Summary
P9587 Teaching Practice Internship 30 2
Development of teaching activities in the Degree in Law and related areas. It is a compulsory course for all Master's students who hold a CAPES scholarship.
Obligatory for holders of CAPES grants
P6706 Methodology of Higher Education 30 2 -
Total: 60 4

Elective Subjects

Code Subject School Hours Credits Summary
P0085 Scientific Computing II 30 2
Computational modeling at system and subsystem level. Block diagram. Use of computational tools with block diagram and customized libraries. Simulation of systems in continuous time and in discrete time. Simulation of dynamic systems applied in different areas of science. Interface with high level languages.
P0097 Computational Fluid Dynamics (Cfd) 30 2
Partial Differential Equations. Problems of Dirichlet, Neuman, Robin. Application of finite differences to solve the partial differential equations. Understanding Consistency, Stability, Convergence. Numerical methods of solving partial differential equations (explicit and implicit schemes of 1st, 2nd and 3rd order). Flows with and without viscosity. Deduction of Navier-Stokes equations. Numerical methods of solving the Navier-Stokes equations. Several formulations of the pressure-velocity problem, current function). Equations of Euler, Reynolds. Models of turbulence.
P0098 Dynamics of Fluids in Porous Media 30 2
Introduction. Porous Media (Basics, definitions, classification). Porosity. Fundamental Equations in Porous Media (Conservation of Mass, Moment and Energy). Tortuosity and Permeability. Equation of Homogeneous Fluid Movement. Darcy's Law, Isotropic and Anisotropic Permeability. Derived from Darcy's Law. Equations of Continuity and Conservation in Homogeneous Flow. Initial and Contour Value Problems.
P0089 Dynamics of Nonlinear Systems 30 2
Basic concepts in nonlinear systems: definitions, types of nonlinearities (dynamic x static, soft x hard), motivation and justification of application, autonomous and non-autonomous systems. Typical examples of nonlinearities. Behavior of non-linear systems: comparison with linear systems, points of equilibrium and classification, limit cycles, bifurcations, chaos. Characterization of the dynamics of nonlinear systems: multiple attractors, limit cycles, chaotic dynamics. Analysis of nonlinear systems: phase plane, trajectory, phase portrait, singular points, stability, Lyapunov method. Methods of control of nonlinear systems.
P0087 Partial Differential Equations I 30 2
Fourier series and integrals. Partial Differential Equations. Theorems of existence and oneness. Problems of values in the contour. Problems of Sturm-Liouville. Development in self-functions. The equation of the One-dimensional Wave. One-dimensional Heat Diffusion. Variable Separation Method (Product Method): Homogeneous and Non-Homogeneous Problem
P0088 Partial Differential Equations II 30 2
Partial Differential Equations. Vibrant Membrane. Two-dimensional wave equation. Two-dimensional Heat Diffusion. Variable Separation Method (Product Method): Homogeneous and Non-Homogeneous Problem. Laplacian in Polar Coordinates. Circular Membrane. The equation of Bessel. Laplace equation. Potential.
P0099 Transport Phenomena 30 2
Introduction. Main concepts. Heat transfer, mass, linear momentum. Control of magnitudes. Laws of Fourier, Fick, Newton, Statics of Fluids. Heat transfer by radiation. Fluid fields and basic equations (Euler): conservation of the mass of linear momentum, energy. Navier-Stakes equations. Laminar flow of fluids in incomprehensible cases. Turbulent flow of viscous fluids. The analogy of Reynolds. Mass transfer by convection. Free convection heat transfer. Flow through porous media.
P0101 Identification of Systems I 30 2
Introduction. Equations the difference. Transform Z. Time Series. Classification of systems. Identification of linear systems. Linear estimators: types and properties. Treatment of data. Linear models and structure. Validation of models. Case Study.
P0102 Identification of Systems II 30 2
Introduction. Identification of non-linear systems. Nonlinear estimators: types and properties. Treatment of data. Nonlinear models and structure. Validation of models. Case Study.
P0084 Instrumentation and Data Acquisition 30 2
Energy Conversion. Metrology. Laboratory environment and standardization. Constructive aspects of test benches. Measures of magnitudes. Measurement techniques and methods. Theory of errors and uncertainties. Basic methods for data processing. Use of software for processing and presentation of information. Measuring systems. The instrument. Basic Principles of Transduction. Transducers: Sensors and Actuators. Conditioning and basic structures of signal conditioning. Electrical and electronic instruments: analog and digital. Automatic, intelligent and virtual instruments. Characterization of an instrument. General aspects in instrumentation. Techniques of acquisition and transection of data in instrumentation. Computerized systems for instrumentation. Cards for data acquisition. Applications and design.
P0086 Artificial intelligence 30 2
Main concepts of Artificial Intelligence; Historical Notes of A. I. and its impact on society; Main AI techniques: search systems and heuristics, artificial neural networks, genetic algorithms, fuzzy logic and intelligent agents.
P0109 Discrete Element Methods 30 2
Introduction to the Discrete Element Method. Particle modeling. Particle collision detection. Application of forces and iteration of the method. Temporal integration. Post Processing of results.
P0090 Finite Element Methods 30 2
Basic Concept of the Finite Element Method; Variable Formulations and Approximations; Discretization of a Structure; Elements and Functions of Interpolation, Element Matrix Computation; Assembly of the Matrices of the Elements; Solution of the System of Equations; Applications in Structural Analysis, Heat Transfer and Magnetic Field Evaluation; Execution of a Finite Element program.
P0091 Optimization Methods 30 2
Formulation of the linear programming problem; Geometric interpretation; Applications of linear programming: a production problem, a diet problem; Convex sets; Simplex method; The dual of the linear programming problem; Theorems of duality.
P0093 Matrix Methods I 30 2
Solution methods of large linear systems. Eigenvalues and eigenvectors. Self-systems, decompositions (from Schur, QR, in singular values). The condition of self-systems. Circles of Gerschgorin. Unitary and orthogonal transformations. Pseudo-Inverse Matrix (Generalized). Greville's method. Quadratic Forms. Symmetric and Hermitian Matrices.
P0094 Matrix Methods II 30 2
The best approximation of the system of algebraic linear equations. Least squares method. Quadratic Forms. Lagrange method. Position of the Quadratic Form. Law of inertia of Sylvester's Quadratic Forms. Gram- Schmidt process. Symmetric and Hermitian Matrices. Theorems about eigenvalues of the symmetric matrix. Reduction of Quadratic form to canonical form by orthogonal transformation. Theorem on extreme properties of eigenvectors. Positive definite quadratic forms. Sylvester Criterion (with demonstration). Matrix Functions. Regular Functions. Application for EDO. Calculation of matrix etA. Two Quadratic Forms. Eigenvalues and eigenvectors of two matrices. D-orthogonalization of two vectors. Simultaneous reduction of two Quadratic Forms to canonical forms.
P0096 Numerical Methods for Partial Differential Equations 30 2
Physical and Mathematical Classification of EDP. Problems well put. Problems of Dirichlet, Neuman, Robin. Problems of Evolution. Application of finite differences to solve EDP. Methods of obtaining equations for differences. Local and global approach error. Understanding Consistency, Stability, Convergence. Lax's theorem. Numerical solution schemes of the EDP (explicit and implicit schemes for parabolic, hyperbolic, elliptic equations). Methods for stability analysis (Neumann methods, Lax methods, Matrix methods), convergence. Methods for nonlinear equations.
P0107 Kinematic Modeling of Industrial Robots 30 2
Basic concepts in industrial robotics: definitions, types of kinematic chains, types of joints, justifications and potential applications. The Denavit-Hatenberg Convention and the design of the reference coordinate systems for links. Calculation of homogeneous transformation matrices. Mathematical formulation of the direct kinematics equation. Mathematical formulation of the inverse kinematics equation. Calculation of the Jacobian matrix. Mathematical formulation of the differential kinematics equation. Examples of kinematic modeling of typical serial robots. Computer-assisted kinematic modeling.
P0108 Dynamic Modeling of Industrial Robots 30 2
Fundamentals of dynamic modeling of robots, importance, and applications. Main components of an industrial robot: mechanism (serial, parallel, mixed structure, types of joints), drive (electric, pneumatic or hydraulic) and control system. Methods for mathematical formulation of the dynamic model of robots. Representation of the dynamic model in compact matrix form: inertia matrix, matrix of centrifugal and Coriolis effects, vector of gravitational effects, vector of the effects of friction dynamics and vector of torques and/or joint forces. Properties of the dynamic model of industrial robots and its application in control and stability analysis. Computational simulation of the dynamic robot model.
P0083 Mathematical Modeling II 30 2
Modeling as a scientific method of knowledge: examples of mathematical models: classical models of physics (mechanical and electrical systems); ECONOMIC models (economic growth model, Leontiev model); models of population dynamics (Malthus, Verhulst, Lotka-Volterra); compartmental models (epidemiological, immunological, etc.). Main steps of Mathematical Modeling: formulation of the problem in terms of the phenomenon; experimentation; formulation of the problem in terms of the mathematical model.
P0100 Constitutive Models of Materials 30 2
Atomic Arrays: Molecular structures, crystalline structure, metallic structure, non-crystalline structures, phases. Structural imperfections: impure phases, crystalline imperfections, atomic movements, crystal vibrations. Phases and properties of materials, deformation of materials, ruptures of materials. Mechanisms of atomic motion (diffusion). Solid state reactions, reaction velocity, metastable phases. Modifications of the properties through changes of the microstructure: physical properties (mechanical, thermal and electrical) of materials, control of microstructures. Solid State Device Models, Band Theories. The Structure of Solids. Physical Properties of Materials. Properties of Polymers and Ceramics. Microstructural Characterization of Materials. Physics of Materials and Semiconductor Devices.
P0103 Control Systems Design 30 2
Basic concepts, fundamental principles, overview and a brief history of control systems with feedback. Modeling and linearization of dynamic systems for control. Transfer function, block diagrams algebra and dynamic response analysis. Design by the roots place method. Design based on frequency response. Control project in state space. The design of computer aided control systems.
P0110 Artificial neural networks 30 2
Introduction to the Discrete Element Method. Particle modeling. Particle collision detection. Application of forces and iteration of the method. Temporal integration. Post Processing of results.
P0106 Sensors and Actuators, Technologies and Applications 30 2
Introduction to microsystems sensors and actuators. Introduction to MEMS and the basic techniques of manufacturing sensor and actuator microstructures. Introduction to physical-mathematical models of semiconductor devices in meso, micro and manometric scale. Technology development of sensing devices and actuators in micrometric scale. Historical aspects, main applications, technological and commercial importance of MEMS. Main techniques of microfabrication, compatibility with CMOS processes. Application examples. Micro substrate manufacturing. Silicon as a mechanical material. Wet corrosion, isotropy and anisotropy, corrosion mechanism. Plasma corrosion, corrosion mechanisms. Isotropic versus anisotropic corrosion, relationship with Si crystallography and other semiconductor thin films. Micromanufacturing in Surface, Structural and sacrificial layers. Materials and properties of films used as structural and sacrificial layers. Mechanical properties of films used as structural layers. Communication protocols. Integration of Radiofrequency systems. Application examples. Encapsulation techniques, Materials used. Specific applications. Methodologies of integration of Microelectronics and Sensors Actuators. Electronic compatibility and signal conditioning. Integration of Microsystems and Communication Systems.
P0095 Theory of Probability and Statistics 30 2
The discipline of Probability and Statistical Theory deals with the analysis of quantitative and qualitative categorized and numeric data, the definition of probability and its distribution (Binomial and Poisson, Normal, T and F and Chi-square). Also, from the study of parametric and non-parametric analysis, regressions and correlation and multivariate analysis. However, it will cover the study of descriptive statistics, the calculation of probabilities and statistical inference. Including, the processes related to the planning, execution, data analysis and interpretation of the results of a hypothesis of research from experimental designs, bringing together the use of computational programs.
P0092 Search-based Optimization Techniques 30 2
Introduction to Heuristics and Metaheuristics; Search Heuristics; Genetic Algorithms; Simulated Annealing; Hill Climbing; Genetic Programming.
P0104 Special Topics in Software Engineering 30 2
Software Process Models; Software Requirements and Specification; Methods for Analysis and Design; Reuse of Software; Development of model-driven software; Software Verification and Validation; Fault Tolerance; Software quality.
P0105 Special Topics in Scientific Programming 30 2
Software Process Models; Software Requirements and Specification; Methods for Analysis and Design; Reuse of Software; Development of model-driven software; Software Verification and Validation; Fault Tolerance; Software quality.
Total: 840 56

Doctorate degree

Complementary Subjects

Code Subject School Hours Credits Summary
P9587 Teaching Internship (obligatory for holders of grants from CAPES) 30 2
Development of teaching activities in the Degree in Law and related areas. It is a compulsory course for all Master's degree students who hold a CAPES scholarship.
P6706 Methodology of Higher Education 30 2 -
Total: 60 4

Subjects on Applied Research

Code Subject School Hours Credits Summary
P9739 Qualification Exam 60 4
This course aims to offer a space for the student to carry out the practical and theoretical activities related to the execution and writing of the qualification examination document, for presentation and defense before an Examining Committee composed of three professors of the Program, one of whom is its supervisor , and two teachers outside the Program. Foreseen for the sixth semester of the Course, the course allows the student a critical evaluation of his research proposal, carried out by other teachers together with his supervisor, so that he can improve it, correct it and reorient it before its completion.
P9735 Thesis Seminar 30 2
This discipline marks the moment of presentation and collective discussion of the doctoral research project, regarding the delimitation of the subject, the definition of the problem, the objectives, the theoretical-methodological mediation and the schedule. Foreseen for the third semester of the course, the Thesis Seminar consists of an expanded and collective discussion of the doctorate's research intentions, offering contributions from colleagues and teachers invited to these sessions.
P9736 Research Work I 30 2
This course aims to offer a space for the student to start the research work, which will be developed during the PhD course. In this context, the definition of the research project is defined with regard to the delimitation of the topic, the definition of the problem, as well as the survey of the material that will support the research and the bibliographic review. In order to receive the credits of this subject, the doctoral student must present proof of publication of an article, of the research begun in this discipline, in a scientific and / or periodic quality event, as established in Table 5 of the Program's Rules of Procedure.
P9737 Research Work II 30 2
This course aims to offer a space for the student to continue the research work, initialized in the discipline of Research Paper I and presented in the subject Seminar of Thesis. The activities developed in this discipline aim at valuing the researcher's training, and can be worked in the form of seminars, production and publication of articles, communications of works in scientific events, exchanges with lines and research programs, or other activities that contribute decisively to the process of training researchers. In order to receive credits related to this subject, the doctoral student must present proof of the publication of an article, in a scientific and / or periodic quality event, as established in Table 5 of the Program Rules.
P9738 Research Work III 30 2
This course aims to offer a space for the student to continue the research work, initialized in the disciplines of Research Work I and II, which is being developed during the PhD course. The activities developed in this discipline aim at valuing the researcher's training, and can be worked in the form of seminars, production and publication of articles, communications of works in scientific events, exchanges with lines and research programs, or other activities that contribute decisively to the process of training researchers. In order to receive credits related to this subject, the doctoral student must present proof of the publication of an article, in a scientific and / or periodic quality event, as established in Table 5 of the Program Rules.
P9740 Working on the Doctorate Thesis 30 2
This course aims to offer a space for the student to perform the practical and theoretical activities, defined in the Qualification Exam, referring to the execution and writing of the final thesis document.
Total: 210 14

Elective Subjects

Code Subject School Hours Credits Summary
P0085 Scientific Computation II 30 2
Computational modeling at system and subsystem level. Block diagram. Use of computational tools with block diagram and customized libraries. Simulation of systems in continuous time and in discrete time. Simulation of dynamic systems applied in different areas of science. Interface with high level languages.
P0097 Computational Fluids Dynamics (Cfd) 30 2
Partial Differential Equations. Problems of Dirichlet, Neuman, Robin. Application of finite differences to solve the partial differential equations. Understanding Consistency, Stability, Convergence. Numerical methods of solving partial differential equations (explicit and implicit schemes of 1st, 2nd and 3rd order). Flows with and without viscosity. Deduction of Navier-Stokes equations. Numerical methods of solving the Navier-Stokes equations. Several formulations of the pressure-velocity problem, current function). Equations of Euler, Reynolds. Models of turbulence.
P0098 Dynamics of Fluids in Porous Media 30 2
Introduction. Porous Media (Basics, definitions, classification). Porosity. Fundamental Equations in Porous Media (Conservation of Mass, Moment and Energy). Tortuosity and Permeability. Equation of Homogeneous Fluid Movement. Darcy's Law, Isotropic and Anisotropic Permeability. Derived from Darcy's Law. Equations of Continuity and Conservation in Homogeneous Flow. Initial and Contour Value Problems.
P0089 Dynamics of Non Linear Systems 30 2
Basic concepts in nonlinear systems: definitions, types of nonlinearities (dynamic x static, soft x hard), motivation and justification of application, autonomous and non-autonomous systems. Typical examples of nonlinearities. Behavior of non-linear systems: comparison with linear systems, points of equilibrium and classification, limit cycles, bifurcations, chaos. Characterization of the dynamics of nonlinear systems: multiple attractors, limit cycles, chaotic dynamics. Analysis of nonlinear systems: phase plane, trajectory, phase portrait, singular points, stability, Lyapunov method. Methods of control of nonlinear systems.
P0087 Partial Differential Equations I 30 2
Fourier series and integrals. Partial Differential Equations. Theorems of existence and uniqueness. Problems of values in the contour. Problems of Sturm-Liouville. Development in self-functions. Equation of the One-dimensional Wave. One-dimensional Heat Diffusion. Variable Separation Method (Product Method): Homogeneous and Non Homogeneous Problem
P0088 Partial Differential Equations II 30 2
Partial Differential Equations. Vibrant Membrane. Two-dimensional wave equation. Two-dimensional Heat Diffusion. Variable Separation Method (Product Method): Homogeneous and Non Homogeneous Problem. Laplacian in Polar Coordinates. Circular Membrane. Equation of Bessel. Laplace equation. Potential.
P0099 Transport Phenomena 30 2
Introduction. Main concepts. Heat transfer, mass, linear momentum. Control of magnitudes. Laws of Fourier, Fick, Newton, Statics of Fluids. Heat transfer by radiation. Fluid fields and basic equations (Euler): conservation of the mass of linear momentum, energy. Navier-Stakes equations. Laminar flow of fluids in incomprehensible cases. Turbulent flow of viscous fluids. Analogy of Reynolds. Mass transfer by convection. Free convection heat transfer. Flow through porous media.
P0101 System Identification I 30 2
Introduction. Equations the difference. Transform Z. Time Series. Classification of systems. Identification of linear systems. Linear estimators: types and properties. Treatment of data. Linear models and structure. Validation of models. Case Study.
P0102 System Identification II 30 2
Introduction. Identification of non-linear systems. Nonlinear estimators: types and properties. Treatment of data. Nonlinear models and structure. Validation of models. Case Study.
P0084 Instrumentation and Data Acquisition 30 2
Energy Conversion. Metrology. Laboratory environment and standardization. Constructive aspects of test benches. Measures of magnitudes. Measurement techniques and methods. Theory of errors and uncertainties. Basic methods for data processing. Use of software for processing and presentation of information. Measuring systems. The instrument. Basic Principles of Transduction. Transducers: Sensors and Actuators. Conditioning and basic structures of signal conditioning. Electrical and electronic instruments: analog and digital. Automatic, intelligent and virtual instruments. Characterization of an instrument. General aspects in instrumentation. Techniques of acquisition and transection of data in instrumentation. Computerized systems for instrumentation. Cards for data acquisition. Applications and design.
P0086 Artificial Intelligence 30 2
Main concepts of Artificial Intelligence; Historical Notes of I.A and its impact on society; Main AI techniques: search systems and heuristics, artificial neural networks, genetic algorithms, fuzzy logic and intelligent agents.
P0109 Discrete Element Methods 30 2
Introduction to the Discrete Element Method. Particle modeling. Particle collision detection. Application of forces and iteration of the method. Temporal integration. Post Processing of results.
P0090 Finite Element Methods 30 2
Basic Concept of the Finite Element Method; Variable Formulations and Approximations; Discretization of a Structure; Elements and Functions of Interpolation, Computation of the Element Matrix; Assembly of the Matrices of the Elements; Solution of the System of Equations; Applications in Structural Analysis, Heat Transfer and Magnetic Field Evaluation; Execution of a Finite Element program.
P0091 Optimization Methods 30 2
Formulation of the linear programming problem; Geometric interpretation; Applications of linear programming: a production problem, a diet problem; Convex sets; Simplex method; The dual of the linear programming problem; Theorems of duality.
P0093 Matrix Methods I 30 2
Solution methods of large linear systems. Eigenvalues and eigenvectors. Self-systems, decompositions (from Schur, QR, in singular values). The condition of self-systems. Circles of Gerschgorin. Unitary and orthogonal transformations. Pseudo-Inverse Matrix (Generalized). Greville's method. Quadratic Forms. Symmetric and Hermitian Matrices.
P0094 Matrix Methods II 30 2
The best approximation of the system of algebraic linear equations. Least squares method. Quadratic Forms. Lagrange method. Position of the Quadratic Form. Law of inertia of Sylvester's Quadratic Forms. Gram-Schmidt process. Symmetric and Hermitian Matrices. Theorems about eigenvalues of the symmetric matrix. Reduction of Quadratic form to canonical form by orthogonal transformation. Theorem on extreme properties of eigenvectors. Positive definite quadratic forms. Sylvester Criterion (with demonstration). Matrix Functions. Regular Functions. Application for EDO. Calculation of matrix eA. Two Quadratic Forms. Eigenvalues and eigenvectors of two matrices. D-orthogonalization of two vectors. Simultaneous reduction of two Quadratic Forms to canonical forms.
P0096 Numerical Methods for Partial Differential Equations 30 2
Physical and Mathematical Classification of EDP. Problems well put. Problems of Dirichlet, Neuman, Robin. Evolution Problems. Application of finite differences to solve EDP. Methods of obtaining equations for differences. Local and global approach error. Understanding Consistency, Stability, Convergence. Lax's theorem. Numerical schemes of solution of the EDP (explicit and implicit schemes for parabolic, hyperbolic, elliptic equations). Methods for stability analysis (Neumann methods, Lax methods, Matrix methods), convergence. Methods for nonlinear equations.
P0107 Kinematic Modeling of Industrial Robots 30 2
Basic concepts in industrial robotics: definitions, types of kinematic chains, types of joints, justifications and potential applications. Denavit-Hatenberg Convention and the mapping of reference coordinate systems for links. Calculation of homogeneous transformation matrices. Mathematical formulation of the direct kinematics equation. Mathematical formulation of the inverse kinematics equation. Calculation of the Jacobian matrix. Mathematical formulation of the differential kinematics equation. Examples of kinematic modeling of typical serial robots. Computer assisted kinematic modeling.
P0083 Mathematical Modeling II 30 2
Modeling as scientific method of knowledge: Examples of mathematical models: classical models of physics (mechanical and electrical systems); economic models (economic growth model, Leontiev model); models of population dynamics (Malthus, Verhulst, Lotka-Volterra); compartmental models (epidemiological, immunological, etc.). Main steps of Mathematical Modeling: formulation of the problem in terms of the phenomenon; experimentation; formulation of the problem in terms of the mathematical model.
P0100 Constitutive Models of Materials 30 2
Atomic Arrays: Molecular structures, crystalline structure, metallic structure, non-crystalline structures, phases. Structural imperfections: impure phases, crystalline imperfections, atomic movements, crystal vibrations. Phases and properties of materials, deformation of materials, ruptures of materials. Mechanisms of atomic motion (diffusion). Solid state reactions, reaction velocity, metastable phases. Modifications of the properties through changes of the microstructure: physical properties (mechanical, thermal and electrical) of materials, control of microstructures. Solid State Device Models, Band Theories. Structure of Solids. Physical Properties of Materials. Properties of Polymers and Ceramics. Microstructural Characterization of Materials. Physics of Materials and Semiconductor Devices.
P0103 Control Systems Design 30 2
Basic concepts, fundamental principles, overview and brief history of control systems with feedback. Modeling and linearization of dynamic systems for control. Transfer function, block diagrams algebra and dynamic response analysis. Design by the roots place method. Design based on frequency response. Control project in state space. Design of computer-aided control systems.
P0106 Sensors and Actuators, Technologies and Applications 30 2
Introduction to microsystems sensors and actuators. Introduction to MEMS and the basic techniques of manufacturing sensor and actuator microstructures. Introduction to physical-mathematical models of semiconductor devices in meso, micro and manometric scale. Technology development of sensing devices and actuators in micrometric scale. Historical aspects, main applications, technological and commercial importance of MEMS. Main techniques of microfabrication, compatibility with CMOS processes. Application examples. Micro substrate manufacturing. Silicon as mechanical material. Wet corrosion, isotropy and anisotropy, corrosion mechanism. Plasma corrosion, corrosion mechanisms. Isotropic versus anisotropic corrosion, relationship with Si crystallography and other semiconductor thin films. Micro manufacturing in Surface, Structural and Sacrificial layers. Materials and properties of films used as structural and sacrificial layers. Mechanical properties of films used as structural layers. Communication protocols. Integration of Radiofrequency systems. Application examples. Encapsulation techniques, Materials used. Specific applications. Methodologies of integration of Microelectronics and Sensors Actuators. Electronic compatibility and signal conditioning. Integration of Microsystems and Communication Systems.
P0095 Theory of Probability and Statistics 30 2
The discipline of Probability and Statistical Theory deals with the analysis of quantitative and qualitative categorized and numeric data, the definition of probability and its distribution (Binomial and Poisson, Normal, T and F and Chi-square). Also, from the study of parametric and non-parametric analysis, regressions and correlation and multivariate analysis. However, it will cover the study of descriptive statistics, the calculation of probabilities and statistical inference. Including, the processes related to the planning, execution, data analysis and interpretation of the results of a hypothesis of research from experimental designs, bringing together the use of computational programs.
P0092 Search-based Optimization Techniques 30 2
Introduction to Heuristics and Metaheuristics; Search Heuristics; Genetic Algorithms; Simulated Annealing; Hill Climbing; Genetic Programming.
P0104 Special Topics in Software Engineering 30 2
Software Process Models; Software Requirements and Specification; Methods for Analysis and Design; Reuse of Software; Development of model-driven software; Software Verification and Validation; Fault Tolerance; Software quality.
P0105 Special Topics in Scientific Programming 30 2
Software Process Models; Software Requirements and Specification; Methods for Analysis and Design; Reuse of Software; Development of model-driven software; Software Verification and Validation; Fault Tolerance; Software quality.
P0108 Dynamic Modeling of Industrial Robots 30 2
Fundamentals of dynamic modeling of robots, importance and applications. Main components of an industrial robot: mechanism (serial, parallel, mixed structure, types of joints), drive (electric, pneumatic or hydraulic) and control system. Methods for mathematical formulation of the dynamic model of robots. Representation of the dynamic model in the compact matrix form: inertia matrix, matrix of centrifugal and Coriolis effects, vector of gravitational effects, vector of the effects of friction dynamics and vector of torques and / or joint forces. Properties of the dynamic model of industrial robots and its application in control and stability analysis. Computational simulation of the dynamic robot model.
P0110 Artificial neural networks 30 2
Introduction to the Discrete Element Method. Particle modeling. Particle collision detection. Application of forces and iteration of the method. Temporal integration. Post Processing of results.
Total: 840 56

Obligatory Subjects

Code Subject School Hours Credits Summary
P0075 Scientific Computing I 60 4
Notions of Programming Logic. Conceptualization of Algorithms. Basic components (variable, constant, assignment, instruction, operators and expressions). Use of control structures (selection and iteration). Basic data types (variable types, strings, vectors, arrays). Construction and declaration of new types. Sub-Algorithms.
P0076 Differential Equations 60 4
Differential equations of the first order. Theorems of existence and uniqueness. Methods of resolution. Differential equations of order n. Theorems of existence and uniqueness. Methods of resolution. Linear differential equations. Linear differential equations solutions theory. Systems of differential equations. Theorems of existence and uniqueness. Laplace transform and its application to differential equations. Theory of stability. Stability settings. Stability of linear and non-linear systems. The second Lyapunov method. Lyapunov theorems. Applications of Ordinary Differential Equations.
P0070 Introduction to Research 30 2
The proposed study themes will approach research as a factor of knowledge production; criteria of scientific knowledge; nature and assumptions of scientific knowledge; phases of the construction and elaboration of the research project; presentations on funding and research promotion agencies and the applicability of didactic strategies in science. In addition, it will address the art of scientific writing and the processes of reviewing and publishing scientific journals.
P0078 Numeric Methods 60 4
Numerical methods of algebra. Linear systems. Direct and iterative methods. Criteria for convergence and acceleration. Systems of nonlinear equations and optimization problems. Convergence criteria. Newton's method. Methods of descent (by coordinates, by gradient). Interpolation and numerical derivation. Numerical Integration. Ordinary Differential Equations and Systems. Problem of Initial Value (of Cauchy). Runge-Kutta methods (explicit and implicit). Methods Predictor-Corrector (Adams, Milne). Consistency, stability and convergence of methods. Border Value Problem. Shooting Methods. Finite difference methods. Approximate analytical methods.
P0077 Mathematical Modeling I 30 2
Basic concepts in mathematical modeling: definitions, applications and characterization. Modeling techniques: white box, black box, gray box. Main steps of mathematical modeling: definition of the problem (parameters, variables), formulation of the phenomenon, determination of parameters, experimentation, validation, analytical and / or numerical resolution, analysis and modification. Examples of applications of mathematical modeling in problems of mechanical systems.
Total: 240 16

Graduate Program in Mathematical Modeling

Detalhes
Quarta, 11 Julho de 2018

Master's and Doctoral Degree

Grade 4

Scholarships for Master of Science


UNIJUÍ Masters Scholarships: are granted in quotas defined annually. Partial scholarships are granted, of 50% of the monthly fee, in addition to full scholarships. In order to win the scholarship, it is necessary to obey a ranking order of the students in the selection process established by the Program and not have an employment relationship with UNIJUÍ. In addition, you must have at least two shifts a week to dedicate yourself to the activities of the Program when you benefit from a partial scholarship, and four shifts a week when you benefit from a full scholarship. Check out the resolution (Portuguese only).


Master and Doctorate scholarships:


Development agency that grant through specific notices and regulations: CAPES / FAPERGS grants, CNPq grants, and CAPES grants.


Graduate Program in Mathematical Modeling

Detalhes
Quarta, 11 Julho de 2018

Master's and Doctoral Degree

Grade 4

Linguistic Proficiency


Within a period of 24 months, and before the Thesis Defense Banking, the student must  have passed a foreign language proficiency examination carried out by the Department of UNIJUÍ responsible for the area of letters or by an external institution officially accredited for this purpose by the Official bodies of promotion to the Stricto Sensu Postgraduate Courses in the Country.


The approval of the proficiency exam for the Master's Course must be in a foreign language. The English, Spanish, French, Italian and German languages are accepted by the Program.


Graduate Program in Mathematical Modeling

Detalhes
Quarta, 11 Julho de 2018

Master's and Doctoral Degree

Grade 4

History and Proposal of the Program


Mathematical Modeling is a scientific area that extensively uses Mathematics and Scientific Computing. It uses mathematical and computational methods in the elaboration of mathematical models and the search for solutions to current problems in the most diverse areas of knowledge.

Currently modeling is used in areas such as mathematics, physics, condensed matter physics, systems identification, dynamical systems, mechanical systems control, grain storage and drying, gap control strategies in the production of petroleum, wireless sensor networks, mobile robotics, mathematical modeling through metaheuristics; plant breeding, physiology of cultivated plants, veterinary medicine, production of new materials for engineering, control and automation of systems, microelectronics among others.

Mathematical modeling has the improvement of production processes as its fundamental theme, especially in the regional agro-industrial sector and in all of Brazil, as well as the training of professionals to work in higher education.

The Master's degree lasts 24 months and offers 25 vacancies yearly. 32 credits, that is, 480 hours, are organized and offered on a semester basis, with classes on Mondays, Tuesdays, and Wednesdays.

The Doctorate degree lasts 48 months and offers yearly 10 vacancies.  48 credits, that is, 720 hours, are offered from Monday to Wednesday.


Target Audience


The Program covers professionals with a higher education diploma in Mathematics, Physics, Engineering, Agrarian Sciences, Veterinary Medicine, Computing and / or related areas.


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