Review of kinematics and dynamics of particles – kinematics and dynamics of rigid bodies – constraint dynamics applied to mechanisms – conservation laws for rigid bodies.

Vibration of single dof systems – response of single dof system to transient loadings – multi dof systems and mode superposition.

• Programming with 8086 – 8-bit / 16-bit multiplication/division using repeated addition/subtraction.
• Programming with 8086 - code conversion, decimal arithmetic, bit manipulations.
• Programming with 8086 - matrix multiplication, floating point operations.

• Study of sensors (e.g., LVDT, Temperature and Optical Sensors, Strain gauge) and their signal conditioning techniques
• Illustration of measurement of process-variables such as pressure, flow, level, etc., and various calibration principles.
• Evaluation of different filter circuits (e.g., Sallen-Key Low-Pass filter, Twin-T notch filter, All-Pass filters) and phase detector schemes.
• Typical Measurement Circuits - Instrumentation amplifier and CMRR studies, Low current measurement techniques, Precision rectifiers, Charge amplifiers
• Virtual Instrumentation Usi

Exploring the Subject Matter of Economics: Why We Study Economics – Types - Definitions – Economic Systems – Economics as a Science. Principles and Concepts of Microeconomics: Demand – Supply – Production – Costs – Markets - Equilibrium. Basics of Macroeconomics: Role of Government – National Income Concepts – Inflation Concepts – Classical vs. Keynesianism. Economic Problems and Policies: Meaning of Development – Problems of Growth – Population – Agriculture and Industry – Balance of Payments – Planning – Study Report Related to Economics of Space Program.

Control Systems: Introduction to Control Theory - Control System Components, Modeling of Physical Systems - Transfer Function, Block Diagram, Signal-Flow Graph, and State-Space Representation. Time Domain and Frequency Domain Response - Relationship between the Time and Frequency Domain Responses. Stability - Concept of Pole and Zero - Routh-Hurwitz Criteria, Nyquist Criteria, Root Locus, and Bode Plot; P-I, P-D, P-I-D Controller Design, Tuning of Controllers; Lead and Lag Compensators. State Variable Representation and Solution of State Equations of LTI Control Systems.

Classification of signals and systems,Types of signals,Transformation of independent variable, Periodic signals and Periodicity, Types of systems, Analysis of Continuous Time Signals and LTI systems: Convolution, Impulse response, Trigonometric and exponential Fourier series, Eigen functions of LTI systems, Fourier Transform, Magnitude and Phase Spectra, Properties of Fourier Transform, Laplace Transform, Region of Convergence, Properties, Linear Constant coefficient Differential Equations, State Space Matrix for continuous time systems.

Introduction to Measurement and Instrumentation, Static Characteristics of Instruments; Types of Errors, Statistical Error Analysis, Propagation of Errors; Dynamic Characteristics of Instrumentation Systems, Sensor Reliability; Basic Analog Measuring Instruments (PMMC, Electrodynamometer, Rectifier) and its use as Electronic Voltmeter and Ammeter. Wattmeter and Energy Meters; High Current/Voltage Measurement – C.T., P.T., C.V.T; Null-Based Measurement - D.C. and A.C.

Integral Transforms: The Fourier transform pair – algebraic properties of Fourier transform – convolution, modulation, and translation – transforms of derivatives and derivatives of transform – inversion theory. Laplace transforms of elementary functions – inverse Laplace transforms – linearity property – first and second shifting theorem – Laplace transforms of derivatives and integrals – Laplace transform of Dirac delta function – applications of Laplace transform in solving ordinary differential equations.

Introduction to heat transfer – steady state heat conduction – transient heat conduction – introduc- tion to convective heat transfer – external forced convection – internal forced convection – natural/ free convection – introduction to boiling and condensation – heat exchangers – blackbody radiation and radiative properties – radiative exchange between surfaces.

Integral Transforms: The Fourier transform pair – algebraic properties of Fourier transform – con- volution, modulation, and translation – transforms of derivatives and derivatives of transform – inversion theory. Laplace transforms of elementary functions – inverse Laplace transforms – linearity property – first and second shifting theorem – Laplace transforms of derivatives and in- tegrals – Laplace transform of Dirac delta function – applications of Laplace transform in solving ordinary differential equations.

Introduction to measurement and instrumentation, Static characteristics of instruments; Types of Errors, Statistical Error Analysis, Propagation of Errors; Dynamic Characteristics of Instrumentation Systems, Sensor Reliability; Basic analog measuring instruments (PMMC, electrodynamometer, rectifier) and its use as electronic voltmeter and ammeter. Wattmeter and Energy meters; High Current/Voltage Measurement – C. T., P. T., C. V. T; Null-Based Measurement - D.C. and A.C.

Mathematical Introduction: Linear vector spaces, inner products, linear operators, eigenvalue problem, generalization to infinite dimensions.

Towards quantum mechanics: relevant experiments, wave particle duality, uncertainty principle, postulates of quantum mechanics, Schrodinger equation, probability current and conservation.

Simple one-dimensional potential problems: Free particle, particle in a box; scattering in step-potentials, transmission and reflection coefficients.