UNIVERSE INC

TEXTILE ENGINEERING AND FIBRE SCIENCE - TFSyllabi --> Textile Engineering and Fibre ScienceEngineering MathematicsLinear Algebra: Matrices and Determinants, Systems of linear equations, Eigen values and eigen vectors. Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and minima; Sequences and series; Test for convergence; Fourier series. Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and Green's theorems. Diferential Equations: Linear and non-linear first order...

PRODUCTION AND INDUSTRIAL ENGINEERING - PISyllabi --> Production and Industrial EngineeringEngineering MathematicsLinear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's...

PHYSICS - PHSyllabi --> PhysicsMathematical Physics: Linear vector space; matrices; vector calculus; linear differential equations; elements of complex analysis; Laplace transforms, Fourier analysis, elementary ideas about tensors. Classical Mechanics: Conservation laws; central forces, Kepler problem and planetary motion; collisions and scattering in laboratory and centre of mass frames; mechanics of system of particles; rigid body dynamics; moment of inertia tensor; noninertial frames and pseudo forces; variational principle; Lagrange's and...

MINING ENGINEERING - MNSyllabi --> Mining EngineeringEngineering MathematicsLinear Algebra: Matrices and Determinants, Systems of linear equations, Eigen values and Eigen vectors.Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and minima; Sequences and series; Test for convergence; Fourier series.Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and Green's theorems.Diferential Equations: Linear and non-linear first order ODEs; Higher order linear ODEs with constant...

METALLURGICAL ENGINEERING - MTSyllabi --> Metallurgical EngineeringEngineering MathematicsLinear Algebra: Matrices and Determinants, Systems of linear equations, Eigen values and Eigen vectors.Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and minima; Sequences and series; Test for convergence; Fourier series.Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and Green's theorems.Diferential Equations: Linear and non-linear first order ODEs; Higher order linear ODEs...

MECHANICAL ENGINEERING - MESyllabi --> Mechanical EngineeringEngineering MathematicsLinear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigen vectors.Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.Differential equations:...

MATHEMATICS - MASyllabi --> MathematicsLinear Algebra: Finite dimensional vector spaces; Linear transformations and their matrix representations, rank; systems of linear equations, eigen values and eigen vectors, minimal polynomial, Cayley-Hamilton Theroem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, self-adjoint operators. Complex Analysis: Analytic functions, conformal mappings, bilinear transformations; complex integration: Cauchy's integral...

INSTRUMENTATION ENGINEERING - INSyllabi --> Instrumentation EngineeringEngineering MathematicsLinear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Differential equations: First order equation (linear and nonlinear),...

GEOLOGY and GEOPHYSICS - GGSyllabi --> Geology and GeophysicsPart A: Common to Geology and GeophysicsEarth and Planetary system, size, shape, internal structure and composition of the earth; atmosphere and greenhouse effect; isostasy; elements of seismology; physical properties of the interior of the earth; continents and continental processes; physical oceanography; geomagnetism and paleomagnetism, continental drift, plate tectonics. Weathering; soil formation; action of river, wind, glacier and ocean; earthquakes, volcanism and orogeny. ...

ELECTRICAL ENGINEERING - EESyllabi --> Electrical EngineeringEngineering MathematicsLinear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Differential equations: First order equation (linear and nonlinear),...

ELECTRONICS and COMMUNICATION ENGINEERING - ECSyllabi --> Electronics and Communication EngineeringEngineering Mathematics Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Differential equations: First...

CHEMISTRY - CYSyllabi --> ChemistryPhysical ChemistryStructure: Quantum theory: principles and techniques; applications to a particle in a box, harmonic oscillator, rigid rotor and hydrogen atom; valence bond and molecular orbital theories, Hückel approximation; approximate techniques: variation and perturbation; symmetry, point groups; rotational, vibrational, electronic, NMR, and ESR spectroscopyEquilibrium: Kinetic theory of gases; First law of thermodynamics, heat, energy, and work; second law of thermodynamics and entropy; third law and...

COMPUTER SCIENCE & INFORMATION TECHNOLOGY - CSSyllabi --> Computer Science & Information TechnologyEngineering MathematicsMathematical Logic: Propositional Logic; First Order Logic.Probability: Conditional Probability; Mean, Median, Mode and Standard Deviation; Random Variables; Distributions; uniform, normal, exponential, Poisson, Binomial.Set Theory & Algebra: Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra.Combinatorics: Permutations; Combinations; Counting; Summation; generating functions; recurrence...

CHEMICAL ENGINEERING - CHSyllabi --> Chemical EngineeringEngineering MathematicsLinear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluationof definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector dentities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.Differential equations:...

CIVIL ENGINEERING - CESyllabi --> Civil EngineeringEngineering MathematicsLinear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.Differential equations: First...

BIOTECHNOLOGY - BTSyllabi --> Biotechnology Linear Algebra: Matrices and determinants, Systems of linear equations, Eigen values and Eigen vectors.Calculus: Limit, continuity and differentiability, Partial derivatives, Maxima and minima, Sequences and series, Test for convergence, Fourier Series.Differential Equations: Linear and nonlinear first order ODEs, higher order ODEs with constant coefficients, Cauchy’s and Euler’s equations, Laplace transforms, PDE- Laplace, heat and wave equations.Probability and Statistics: Mean, median, mode and...