TS ECET 2015 Syllabus Engineering Common Entrance Test Telangana JNT University : tsecet.in

Organisation : JNT University, Hyderabad Telangana
Announcement : Syllabus
Entrance Exam : TS ECET-2015 Engineering Common Entrance Test

Syllabus : https://www.entrance.net.in/uploads/491-ECET_2015_SYLLABUS.pdf
Home Page : tsecet.in/Content/index.html

FOR DIPLOMA HOLDERS Syllabus for common entrance Test ECET [FDH & B.Sc (Mathematics)]-2015

1. MATHEMATICS (FDH Common Syllabus)
Unit-I: Matrices
Matrices of 3rd order: Types of matrices-Algebra of matrices-Transpose of a matrix- Symmetric, skew symmetric matrices-Minor, cofactor of an element-Determinant of a square matrix-Properties-Laplace‘s expansion-singular and non singular matrices- Adjoint and multiplicative inverse of a square matrix-System of linear equations in 3 variables-Solutions by Crammer‘s rule, Matrix inversion method,-Gauss-Jordan methods.
Partial Fractions: Resolving a given rational function into partial fractions.

Unit–II:
Trigonometry: Properties of Trigonometric functions – Ratios of Compound angles, multiple angles, sub multiple angles – Transformations of Products into sum or difference and vice versa – Simple trigonometric equations – Properties of triangles – Inverse Trigonometric functions.

Complex Numbers: Properties of Modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex number—Modulus-Amplitude form (Polar form)-Euler form (exponential form)-Properties- De Movire‘s Theorem and its applications.

Unit–III: Analytical Geometry
Circles-Equation of circle given center and radius, given ends of diameter-General equation- finding center and radius. Standard forms of equations of Parabola, Ellipse and Hyperbola – simple properties.

Unit–IV: Differentiation and its Applications
Functions and limits – Standard limits – Differentiation from the First Principles – Differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, Hyperbolic functions, implicit, explicit and parametric functions – Derivative of a function with respect to another function-Second order derivatives –Geometrical applications of the derivative (angle between curves, tangent and normal) – Increasing and decreasing functions – Maxima and Minima (single variable functions) using second order derivative only – Derivative as rate measure -Errors and approximations – Partial Differentiation – Partial derivatives up to second order – Euler‘s theorem.

Unit–V: Integration and its Applications
Indefinite Integral – Standard forms – Integration by decomposition of the integrand of trigonometric, algebraic, exponential, logarithmic and Hyperbolic functions – Integration by substitution – Integration of reducible and irreducible quadratic factors – Integration by parts – Definite Integrals and properties, Definite Integral as the limit of a sum – Application of Integration to find areas under plane curves and volumes of Solids of revolution – Mean and RMS value.

Unit–VI: Differential Equations
Definition of a differential equation-order and degree of a differential equation- formation of differential equations-solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact, linear differential equation of the form dy/dx + Py = Q, Bernoulli‘s equation, nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the Particular Integrals for The functions eax, xm, sin ax, cos ax.

2. PHYSICS (FDH Common Syllabus)
Unit-I: Units and dimensions:
Physical quantity-fundamental and derived physical quantities-units-fundamental and derived units-SI units-multiples and sub-multiples in SI units-advantages of SI units-dimensions and dimensional formulae-dimensionless quantities- applications and limitations of dimensional analysis-problems.

Unit-II: Elements of vectors:
Scalar and vector quantities-examples–graphical representation of a vector-types of vectors- addition and subtraction of vectors-triangle law-parallelogram law and its cases-polygon law- resolution of a vector-unit vectors (i, j, k)-dot product and cross product of two vectors- characteristics of dot and cross products-examples-problems.

Unit-III: Kinematics and Friction
Equations of motion-acceleration due to gravity-equations of motion under gravity- expressions for maximum height, time of ascent, time of descent, time of flight, velocity on reaching the point of projection in vertical motion–motion of a body projected from the top of a tower-projectile motion-examples-horizontal and oblique projections-expressions for maximum height, time of ascent, time of flight, horizontal range, magnitude and direction of resultant velocity in oblique and horizontal projections-problems. Friction- causes and types of friction-normal reaction-laws of friction-coefficients of friction- angle of friction-methods of reducing friction-advantages and disadvantages of friction- motion of a body over a rough horizontal surface, a smooth inclined plane and a rough inclined plane–problems.

Unit-IV: Work, Power and Energy
Work, power and energy-definitions and units-potential and kinetic energies-examples and expressions-work-energy theorem-law of conservation of energy-problems-renewable and non-renewable sources of energy (solar, wind, biogas, tidal, nuclear energies etc)

Unit-V: Simple harmonic motion and Sound
Definition-conditions of SHM-examples of SHM-expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM-time period of a simple pendulum- seconds pendulum-problems. Sound-musical sound and noise-noise pollution-Effects and methods of control of Noise Pollution-Beats and echoe-problems-Doppler effect – Explanation, cases and Applications Acoustics of buildings-Reverberation-Sabines‘ formula- characteristics of a good building-problems.

Unit-VI: Heat and Thermodynamics
Expansion of gases-Boyle‘s law-Absolute scale of temperature-charle‘s laws-Ideal gas equation-Universal gas constant and its value-SI Units-problems-external work done by a gas-isothermal process-adiabatic process-first law of thermodynamics and its applications to isothermal process and adiabatic process-two specific heats of a gas-relation between Cp and Cv-problems-second law of thermodynamics and its applications.

Unit-VII: Modern physics
Photoelectric effect – explanation and its laws-applications of photoelectric effect (photocell) – critical angle and total internal reflection – optical fibers – principle, working , types and applications-concept of super conductivity – its properties and applications.