Apply critical thinking skills to solve complex problems involving complex numbers, trigonometric ratios, vectors, and statistical measures.
To Explain the basic principles and concepts underlying a broad range of fundamental areas of physics and to Connect their knowledge of physics to everyday situations
To Explain the basic principles and concepts underlying a broad range of fundamental areas of chemistry and to Connect their knowledge of chemistry to daily life.
Understand the interplay and connections between mathematics, physics, and chemistry in various applications. Recognize how mathematical models and physical and chemical principles can be used to explain and predict phenomena in different contexts.
To explore the history and evolution of the Internet and to gain an understanding of network security concepts, including threats, vulnerabilities, and countermeasures.
COURSE 2: ADVANCES IN MATHEMATICAL, PHYSICALAND CHEMICAL SCIENCES
Explore the applications of mathematics in various fields of physics and chemistry, to understand how mathematical concepts are used to model and solve real-world problems.
To Explain the basic principles and concepts underlying a broad range of fundamental areas of physics and to Connect their knowledge of physics to everyday situations.
Understand the different sources of renewable energy and their generation processes and advances in nanomaterials and their properties, with a focus on quantum dots. To study the emerging field of quantum communication and its potential applications. To gain an understanding of the principles of biophysics in studying biological systems. Explore the properties and applications of shape memory materials.
Understand the principles and techniques used in computer-aided drug design and drug delivery systems, to understand the fabrication techniques and working principles of nanosensors. Explore the effects of chemical pollutants on ecosystems and human health.
Understand the interplay and connections between mathematics, physics, and chemistry in various advanced applications. Recognize how mathematical models and physical and chemical principles can be used to explain and predict phenomena in different contexts.
Understand and convert between different number systems, such as binary, octal, decimal, and hexadecimal. Differentiate between analog and digital signals and understand their characteristics.Gain knowledge of different types of transmission media, such as wired (e.g., copper cables, fiber optics) and wireless (e.g., radio waves, microwave, satellite).
COURSE 3: DIFFERENTIAL EQUATIONS
solve first order first degree linear differential equations.
convert a non-exact homogeneous equation to exact differential equation by using an integrating factor.
know the methods of finding solution of a differential equation of first order but not of first degree.
solve higher-order linear differential equations for both homogeneous and non-homogeneous, with constant coefficients.
understand and apply the appropriate methods for solving higher order differential equations.
COURSE 4: ANALYTICAL SOLID GEOMETRY
understand planes and system of planes
know the detailed idea of lines
understand spheres and their properties
know system of spheres and coaxial system of spheres
understand various types of cones
COURSE 5: GROUP THEORY
acquire the basic knowledge and structure of groups
get the significance of the notation of a subgroup and cosets.
understand the concept of normal subgroups and properties of normal subgroup
study the homomorphisms and isomorphisms with applications.
understand the properties of permutation and cyclic groups
solve Algebraic and Transcendental equations
Understand various finite difference concepts and interpolation methods
understand the subject of various numerical methods that are used to obtain approximate solutions
understand the concept of Curve fitting
COURSE 7: LAPLACE TRANSFORMS
understand the definition and properties of Laplace transformations
get an idea about first and second shifting theorems and change of scale property
understand Laplace transforms of standard functions like Bessel, Error function etc
know the reverse transformation of Laplace and properties
5. get the knowledge of application of convolution theorem
Understand the Beta and Gamma functions, their properties and relation between these two functions, understand the orthogonal properties of Chebyshev polynomials and recurrence relations.
Find power series solutions of ordinary differential equations.
Solve Hermite equation and write the Hermite Polynomial of order (degree) n, also Find the generating function for Hermite Polynomials, study the orthogonal properties of Hermite Polynomials and recurrence relations.
Solve Legendre equation and write the Legendre equation of first kind, also find the generating function for Legendre Polynomials, understand the orthogonal properties of Legendre Polynomials.
Solve Bessel equation and write the Bessel equation of first kind of order n, also find the generating function for Bessel function understand the orthogonal properties of Bessel unction.
COURSE 9: RING THEORY
acquire the basic knowledge of rings, fields and integral domains
get the knowledge of subrings and ideals
construct composition tables for finite quotient rings
study the homomorphisms and isomorphisms with applications.
get the idea of division algorithm of polynomials over a field.
get clear idea about the real numbers and real valued functions.
Know the geometrical interpretation of meanvalue theorems.
know about the fundamental theorem of integral calculus
COURSE 11: INTEGRAL TRANSFORMS WITH APPLICATIONS
understand the application of Laplace transforms to solve Simultaneous DEs
understand the application of Laplace transforms to Integral equations
basic knowledge of Fourier-Transformations
COURSE 12: LINEAR ALGEBRA
understand the concepts of basis, dimension and their properties
understand the concept of linear transformation and its properties
apply Cayley- Hamilton theorem to problems for finding the inverse of a matrix and higher powers of matrices without using routine methods
learn the properties of inner product spaces and determine orthogonality in inner product spaces.
COURSE 13: VECTOR CALCULUS