Mathematical Physics I

Course Objective

1. To acquire knowledge and understanding of the fundamental concepts of basic integral and differential calculus
2. To gain preliminary knowledge and understand the fundamental concepts of vector calculus, orthogonal co-ordinate system, and vector operations
3. To apply the acquired mathematical skills, vector properties and co-ordinate transformation in suitable physics problems
4. To acquire preliminary knowledge of probability, statistics, and Dirac-delta function.
5. To acquire computational skill (using PYTHON, C, C++) to model physical system and solve numerical problems
6. To gain sufficient mathematical skills required for higher level physics

Learning Outcome

After the completion of the course, the student will be able to

1. Describe the concepts of integral and differential calculus in relation to the varied physical context.
2. Solve first, second order differential equations, and partial differential equation
3. Apply integral, differential calculus, and various theorems to solve numerical problems of physical interests.
4. Analyse the different orthogonal co-ordinate systems, and perform their mutual and operator transformation
5. Apply the concepts of Dirac delta function in numerical and real-life problems
6. Apply the concepts of probability in solving numerical problems

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Computational method
5. Assignment method
6. ICT method

Mechanics

Course Objective

1. To demonstrate knowledge and understanding of the fundamental concepts of dynamics of system of rigid bodies
2. To represent motion of physical systems by equations
3. To bolster mathematical skills applied to physics
4. To describe the general properties of matter viz. Elasticity, Viscosity, Surface Tension and gravitation
5. To analyse oscillations in relation to the physical systems
6. To acquire a basic knowledge of Special Theory of Relativity
7. To determine physical constants in laboratory using suitable methods

Learning Outcome

After the completion of the course, the student will be able to

1. Define the fundamental concepts of dynamics
2. Describe the different laws and principles in own words
3. Analyse the state of motion of a particle or system(rigid body)
4. Distinguish between inertial and non-inertial frames of reference
5. Apply the concepts of mechanics to solve numerical and real-life problems
6. Analyse the general properties of matter and handle instruments/setups to calculate various physical constants
7. Compare between translational and rotational motion
8. Justify the necessity of Theory of Relativity and hence the limitations of Newtonian Mechanics

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Laboratory method
5. Assignment method
6. ICT method

Electricity & Magnetism

Course Objective

1. To acquire preliminary knowledge and understand the fundamental concepts of electrostatics for visualizing the space modified by the static charges
2. To acquire preliminary knowledge and understand the fundamental concepts of electrostatics for visualizing the space modified by the steady current carrying element.
3. To demonstrate knowledge and understanding of electrostatics and magneto-statics as the basic foundation of electrodynamics
4. To understand and appreciate the underlying unity of electrical andmagnetic forces
5. To acquire basic knowledge and skills to understand electrical circuits, solve complex AC and DC circuits applying suitable network theorems.

Learning Outcome

After the completion of the course, the student will be able to

1. Describe the concepts of electrostatics in relation to various aspects of electrical charge
2. Calculate electric field, potential and energy stored for discrete and continuous charge systems using suitable methods.
3. Apply vector methods, phasor algebra to solve various electrical problems.
4. Calculate magnetic field, potential, and energy stored for various steady current carrying systems using various methods.
5, Solve and simplify complex AC and DC circuit using appropriate methods
6. Determine electrical properties using various circuits, power sources, equipment and instruments

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Laboratory method
5. Assignment method
6. ICT method

Waves and Optics 

Course Objective

1. To acquire and demonstrate preliminary knowledge and understand the fundamental concepts of wave properties
2. To acquire mathematical skills to understand the physics of superposition and apply in mechanical, acoustic and electromagnetic waves.
3. To demonstrate knowledge and understanding of the fundamental concepts of physical optics
4. To understand and demonstrate the various phenomena that establishes the wave nature of light
5. To acquire knowledge to understand the physics of light in terms of wavefronts

Learning Outcome

After the completion of the course, the student will be able to

1. Apply the superposition principle in finding resultant displacement in various kinds of physical situations
2. Describe the wave of various kinds and their properties in terms of differential equations and their solutions
3. Define holography, interference and diffraction of light
4. Differentiate between interference and diffraction
5. Describe different phenomena of wave optics using Huygen’s Principle
6. Handle standard light sources, spectrometer, grating, slits, prisms and other various optical instruments to calculate various optical properties

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Laboratory method
5. Assignment method
6. ICT method

Mathematical Physics II 

Course Objective

1. To introduce and impart knowledge about standard mathematical and computational tools employed to study physics problems.
2. To acquire knowledge and properties of special functions such as Fourier series, Bessel functions, Legendre functions: generating function, Hermite functions, Laguerre functions.
3. To understand the various properties of Fourier and special functions applicable in various physical problems
4. To acquire knowledge and understanding of partial differential equation and variational calculus in relation to classical mechanics and other branches of physics

Learning Outcome

After the completion of the course, the student will be able to

1. Find Fourier series of a given function in suitable range using Fourier expansion properties.
2. Describe importance of special function and state their generating functions, recurrence relations and other properties
3. Solve complex integral using beta and gamma function
4. Apply variational calculus in handling simple systems like harmonics oscillators, simple pendulum, spherical pendulum, coupled oscillators in relation to conservation and symmetry.
5. Solve PDE of physics interests like Laplace's, Poisson's equation in waves and electrodynamics.
6. Solve numerical problems using standard computer language like python and/or c++

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Laboratory method
5. Assignment method
6. ICT method

Thermal Physics 

Course Objective

1. To introduce and impart knowledge of the laws of thermodynamics, concepts of heat, work, entropy, and their relation
2. To acquire knowledge and understanding of thermodynamic potential as variable to describe the evolution of physical systems
3. To acquire knowledge and properties of Maxwell relations in solving thermodynamics problems
4. To determine the thermal properties of various substances using suitable practical methods
5. To acquire knowledge and understanding of the kinetic theory of gases as the foundation of thermodynamics

Learning Outcome

After the completion of the course, the student will be able to

1. State and explain the laws of thermodynamics and elaborate on the concept of heat, work, and entropy
2. Solve various physical problems with given conditions using suitable thermodynamic relations
3. Explain and illustrate the physical significance of thermodynamic potentials
4. Apply Maxwell relation to solve and simplify thermodynamics problem in relation to transition and evolution of physical systems.
5. Differentiate the ideal and real gases, write their equations of states and solve numerical problems to calculate thermodynamic variables
6. Handle instruments and setup meant for determining thermal properties in laboratory

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Laboratory method
5. Assignment method
6. ICT method

Digital Systems & Applications 

Course Objective

1. To demonstrate the knowledge and understanding the rudiments of digital electronics
2. To apply Boolean algebra, K-maps, POS and SOP methods to simplifyproblems
3. To study data processing circuits
4. To describe the working of basic elements of digital systems (flip-flops, gates, registers, counters, etc.)
5. To construct and digital Circuits using ICs and study their performances
6. To build a basic idea of Computer organization

Learning Outcome

After the completion of the course, the student will be able to

1. Differentiate between digital and analog electronics
2. Explain the computer organization in own words
3. Apply Boolean algebra and different numerical systems
4. Draw timing diagrams
5. Use ICs, bread boards, discrete component, etc. efficiently
6. Construct digital circuits using discrete components
7. Convince herself/himself the advantage of digital systems over analog ones

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Laboratory method
5. Assignment method
6. ICT method

Mathematical Methods III 

Course Objective

1. To acquire knowledge and understanding of complex number in relation to the application in various branches of physics
2. To gain understanding and learn mathematical transformation of space using Laplace and Fourier transformation
3. To understand the properties of matrices, their transformation and find application in solving various numerical problems
4. To acquire knowledge and understanding of the eigen value and eigen vectors as foundation of classical and quantum mechanics

Learning Outcome

After the completion of the course, the student will be able to

1. State and explain various properties of complex variables and solve numerical problems mapped onto complex space
2. Explain and illustrate the physical significance of Laplace's and Fourier transformation, and perform the same.
3. State and explain various matrix properties, transformation and theirutility in physics
4. Write computer programs to solve complex problems in field of complex analysis, differential equations and data analysis

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Laboratory method
5. Assignment method
6. ICT method

Elements of Modern Physics 

Course Objective

1. To acquire knowledge and understanding of paradigm shift from classical to quantum physics in the background of historical development
2. To gain understanding of the wave-matter duality in the framework of phenomena that the birth to the modern physics
3. To understand the postulates and mathematical foundation of wave formulation in quantum mechanics
4. To gain understanding the physics of atomic nucleus in terms of empirical properties and insight to the strong nuclear force
5. To understand the basic physics of Lasers in terms of optical pumping and population inversion
6. To calculate various physical constants related to modern physics in laboratory using suitable methods

Learning Outcome

After the completion of the course, the student will be able to

1. State and explain various experimental observation that led to the birth of quantum mechanics
2. Explain wave particle duality and illustrate the mathematical framework of wave formulation of quantum mechanics
3. State and explain various nuclear properties, radioactive transformation in relation to stellar burning and energy production
4. Explain the working principle, types and applications of Laser
5. Handle modern physics equipment and instruments to calculate physical constants relevant to quantum mechanics

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Laboratory method
5. Assignment method
6. ICT method

Analog Systems and Applications 

Course Objective

1. To demonstrate knowledge and understanding of the fundamental concepts of analog systems
2. To understand physics behind the working of semiconductor devices
3. To study the diode, BJT, FET
4. To analyse different analog circuits
5. To bolster mathematical skills applied to physics
6. To study the performance of different electronic circuits in the laboratory

Learning Outcome

After the completion of the course, the student will be able to

1. Describe the mechanism of current flow in different semiconductor devices
2. Explain the behaviour of amplifiers using their characteristics curve
3. Use OPAMP for basic mathematical operations and other purposes (comparator, detector, etc.)
4. Analyse an oscillator using Barkhausen criterion
5. Draw circuit diagrams with proper conventions and symbols
6. Appreciate the necessity of unconventional representation of amplifier gain
7. Acquire basic skill and attitude for experimentation

Teaching Methodology

1. Lecture method
2. Flipped Classroom
3. Lecture-cum-demonstration method
4. Laboratory method
5. Assignment method
6. ICT method