
ISM Kinematics of Machines Sem  III Unit 1 : Kinematics of Machines(Kinematic pairs, inversion, mobility and range of movements Displacement, velocity and acceleration analysis of planar linkages Dimensional synthesis for motion Simple Mechanism, Devis and Ackermann steering mechanisms, Hooke s joint Mechanical Couplings, Cam profiles Velocity, Acceleration, Synthesis Types of gears, motion and synthesis of simple, reverted and planetary gear trains Brakes Types, Analysis Clutches Types, Analysis Dynamometers) 



2. Finite Automata and Conversion from NFA to DFA(Computer Science) 
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The extension to NFA  a "feature" called epsilon transitions, denoted by E, the empty string. The E transition lets us spontaneously take a transition, without receiving an input symbol. This is another mechanism that allows NFA to be in multiple states at once.
Title: MSCS516C Theory of Computation




3. Algebra of sets  Sigma Algebra and Borel Sets(Mathematics) 
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In this unit, we introduce the concept of algebra of sets. this unit also explains the concept of sigma algebra along with some examples. This unit provides an insight into Borel sets along with some examples.
Title: Math 3.2 Measure Theory




4. Metric Spaces, Completeness(Mathematics) 
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In this unit, we introduce the concept of metric spaces. We give the
properties of metric spaces and some theorems related to metric space.
Finally, we explain the Metric Completion Theorem.
Title: Math 3.3 Functional Analysis




5. Suitability, Advantage, Application of Simulation(Computer Science) 
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Simulation is process of imitating how the real world process or a system operates over time. This can be done either on a computing system or manually which involves the generation of an artificial history of any system and its observations, to infer the characteristics of a real system. To simulate is to copy the behavior of a system or phenomenon under study. Over time, the system's behavior is
......
Title: MSCS516B Simulation and Modeling




6. Design of NFA/DFA(Computer Science) 
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DFA and NFA are often used in the design of lexical analyzer. This unit deals with design of DFA and NFA for different applications. It also explains the process involved in converting an NFA to DFA. This unit helps in making comparative analysis between NFA and DFA.
Title: MSCS516C Theory of Computation




7. Outer measure and measurable sets(Mathematics) 
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This unit explains Lebesgue outer measure and its properties. It also explains Lebesgue measurable sets and its properties (Theorems).
Title: Math 3.2 Measure Theory




8. System Models(Computer Science) 
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In this unit we elaborate on the term model, discuss various types of models. In unit 2 a brief description of models may be found. Here we stress on the two important models 'stochastic / deterministic' and on 'discrete / continuous'. Later we mention sequence of steps in a simulation study and formally make a flow chart.
Title: MSCS516B Simulation and Modeling





10. Setting up of First Order Differential Equations and their Solutions(Mathematics) 
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Differential equations occur quite frequently in our daily life. The motion of an object can always be associated with a differential equation. The change in prices of commodities, the flow of fluids, the concentration of chemicals etc., often lead to differential equations. Such equations may depend on one or more independent variables. Further, it may include the derivatives of the first or high
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Title: Math 3.4 Mathematical Modeling




11. The Metric Topology(Mathematics) 
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Our main objective is to study the definition and some properties of metric topology in this unit.
Title: Math 3.1 Topology




12. Mathematical Modeling of Some Fundamental Problems(Mathematics) 
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Mathematical Modeling in terms of differential equations arises when the situation modeled involves some continuous variables varying with respect to other continuous variables and we have reasonable hypothesis about the rate of change of dependent variables with respect to independent variables. Mathematical models in terms of ordinary differential equations will be studied in this unit and the u
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Title: Math 3.4 Mathematical Modeling




13. Continuous Functions(Mathematics) 
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We define continuous function and homeomorphism in this unit.
Title: Math 3.1 Topology




14. Measurable functions, Littlewood's three principles(Mathematics) 
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This unit defines measurable functions along with examples. It also explains the Littlewood's three principles and states some theorems on measurable functions.
Title: Math 3.2 Measure Theory




15. Banach Contraction Mapping Theorem and Applications(Mathematics) 
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In this unit, we introduce the concept of Banach Contraction Mapping
Theorem and its Applications.
Title: Math 3.3 Functional Analysis




16. NonDeterministic Finite Automata and Applications(Computer Science) 
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An interesting connection lies between the ideas of Nondeterminism and the theory of finite automata, which is part of the theory of computation. Earlier, it was mentioned that determining whether there exists some string that is accepted by a DFA is equivalent to a discrete feasible planning problem. In addition, in real time environment, there may be some complex.situations where it is very dif
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Title: MSCS516C Theory of Computation




17. Components of a System(Computer Science) 
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For modeling a system, it is required to understand concepts such as system and its boundary. The term system is used in such a wide variety of ways that it is difficult to produce a definition broad enough to cover the many uses and at the same time, concise enough to serve a useful purpose. We purpose a simple definition of a system to start with and extend it to include some terms that are ofte
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Title: MSCS516B Simulation and Modeling




18. Closed Sets, limit points, Hausdorff spaces(Mathematics) 
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This unit deals with the definition of closed sets, limit points and neighborhood in a topological space. The Hausdorff spaces will we defined in the unit which deals with separation axioms.
Title: Math 3.1 Topology




19. Programming Languages and Operating Systems(Mathematics) 
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System software is a program or a group of programs written for computer system management. The system software's are developed by the manufactures. They are supervisory programs that help executing the user's program effectively. The operating systems, language processors (such as interpreters and compliers), and utility programs (such as loaders and linkers) are examples of system software are s
......
Title: Math 3.5 Computer Programming




20. Building Blocks of Computer Programs(Mathematics) 
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The specification of the sequence of computational steps in a particular programming language is termed as a program. The task of developing programs is called programming. The person engaged in programming activity is called programmer. In this unit, we study on program analysis, Algorithm development, Flow chart, Decision tables and pseudo code.
Title: Math 3.5 Computer Programming




21. Parallel Computers and Network(Mathematics) 
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Parallel computing is a form of computation in which many instructions are carried out simultaneously operating on the principle that large problems can often be divided into smaller ones, which are then solved concurrently (in parallel). A network computing environment is one in which an organization has linked together personal computers that have been cOlU1ected into a network.
Title: Math 3.5 Computer Programming




22. Lebesgue measure, nonmeasurable sets(Mathematics) 
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This unit defines Lebesgue measure and proves certain theorems given in this unit. It also helps in distinguishing measurable and non measurable sets.
Title: Math 3.2 Measure Theory




23. Unit 1(Theory of MachinesI) 
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Fundamentals Kinematics of motion: Plane, rectilinear and curvilinear motion. Equation and graphical representation of linear and angular motion, displacement, velocity, acceleration. Relationship between linear and angular quantities of motions. Acceleration of a particle along a circular path. Simple problems on basics Kinetics: Force, centrifugal and centripetal force, momentum of force, couple
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Title: Theory of Machines 1




24. Introduction to Finite Automata and DFA(Computer Science) 
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A Finite State Machine (FSM) is a model of behavior using states and state
transitions. A transition is a state change triggered by an input event, i.e. transitions map some stateevent pairs to other states. As indicated in the name, the set of states should be finite. Also, it is assumed that there is a finite set of distinct input events or their categories (types, classes). Subsequently, the
......
Title: MSCS516C Theory of Computation




25. Simulation Examples(Computer Science) 
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In this unit details of hand simulation of several simulation' problems are given. These examples provide insight into the methodology of discrete system simulation and some of the accompanying analysis. The examples are so chosen that some models are continuous and some are discrete. You will realize that continuous simulations are simpler to understand and program as compared to discrete systems
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Title: MSCS516B Simulation and Modeling






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