GCET 2021 Syllabus (Available) – Check Section & Subject Wise Syllabus Here

The Directorate of Technical Education organizes the Goa Common Entrance Test (GCET) and offers various courses to the candidates, and applicants who wish to enter the Goa Institute can complete the GCET application form to take the exam. Every year, most candidates can take this exam.

Courses are provided by GCET in the field of Medicine, Dentistry, Engineering, Pharmacy, Architecture, Homeopathy and Nursing, and other related courses for applicants. The various professional DTE colleges are located in Goa and applicants who are Goa residents can apply for this exam.

Here through this article, candidates will be able to get full information about GCET including GCET syllabus, exam template, exam dates, etc.

GCET 2020 Syllabus

Candidates should prefer the study program for better preparation for the exam, and these candidates will prefer the study program, they can prepare well.

Physics Syllabus

  • Unit I: Electrostatics
  • Unit Ii: Current Electricity
  • Unit Iii: Magnetic Effects Of Current And Magnetism
  • Unit Iv: Electromagnetic Induction And Alternating Currents
  • Unit V: Electromagnetic Waves
  • Unit Vi: Optics
  • Unit Vii: Dual Nature Of Matter And Radiation
  • Unit Viii: Atoms And Nuclei
  • Unit Ix: Electronic Devices
  • Unit X: Communication Systems

Chemistry Syllabus

  • Unit I: Solid State
  • Unit Ii: Solutions
  • Unit Iii: Electrochemistry
  • Unit Iv: Chemical Kinetics
  • Unit V: Surface Chemistry
  • Unit Vi: General Principles And Processes Of Isolation of elements
  • Unit Vii: P-Block Elements
  • Unit Viii: D And F Block Elements
  • Unit Ix: Coordination Compounds
  • Unit X: Haloalkanes And Haloarenes
  • Unit Xi: Alcohols, Phenols, And Ethers
  • Unit Xii: Aldehydes, Ketones, And Carboxylic Acids
  • Unit Xiii: Organic Compounds Containing Nitrogen
  • Unit Xiv: Biomolecules
  • Unit Xv: Polymers
  • Unit Xvi: Chemistry In Everyday Life

Mathematics Syllabus

  • Unit I: Relations And Functions
  • Unit Ii: Algebra
  • Unit Iii: Calculus
  • Unit Iv: Vectors And Three-Dimensional Geometry
  • Unit V: Linear Programming
  • Unit Vi: Probability

Biology

Class 12th

  • Reproduction
  • Genetics And Evolution
  • Iii Biology And Human Welfare
  • Iv Biotechnology And Its Applications
  • V Ecology And Environment

Section A: Unit.1 Mathematical Physics

  • Review of Vector Algebra
  • Scalar and Vector fields
  • The gradient of a Scalar field
  • Divergence and curl of a vector field and their physical significance
  • Solenoidal fields
  • Guess Divergence theorem
  • Stokes theorem and its applications
  • Vector Identities

Unit. II Electromagnetic fields and waves

  • Gauss’s law in vector notation (differential and integral forms)
  • Applications of Gauss’s law to find electric fields due to a long straight charged wire
  • Cylindrical and Spherical charge distributions.
  • Derivation of Ampere’s Circuital law
  • Application of Ampere’s circuital law to find magnetic intensity due to long cylindrical wire
  • Due to a long solenoid
  • Differential & Integral form of Faraday’s law of electromagnetic induction
  • Equation of continuity
  • Displacement current and its significance
  • Maxwell’s field equations (differential and integral forms)
  • Betatron
  • Electromagnetic wave propagation in free space (e.m wave equations for fields for free space and their solutions (plane-wave solution)
  • The velocity of e.m. waves
  • The relation between Eo & Bo
  • Definition of Poynting Vector
  • Poynting theorem

Section B: Unit III – Applied optics

  • Interference in thin films (by reflection and transmission of light)
  • Theory of Newton’s rings by reflected light
  • Determination of wavelength and the refractive index of monochromatic light by Newton’s theory
  • Fraunhofer & Fresnel’s diffractions Fresnel’s half-period zones and rectilinear propagation of light
  • Fraunhofer diffraction due to a single slit
  • The plane diffraction grating & its theory for secondary maxima and minimum
  • Unpolarized and polarized light, Nicol Prism
  • The mathematical representation of the polarization of different types
  • Quarter & half-wave plates

Unit IV – Oscillations

  • Free damped and forced oscillations and their differential equations
  • Logarithmic decrement
  • Power dissipation & Quality factor
  • Ultrasonic waves and their production by piezoelectric method and applications (General)

Unit V – Fibre optics

  • Propagation of light in fibers
  • Numerical aperture
  • Single-mode and multimode fibers
  • General applications

Unit I: Relations and Functions

  1. Relationships and functions Types of relationships: Reflective, symmetric, transitive, and equivalence relationships. One by one and on functions, compound functions, the inverse of a function. Binary operations. 2. Inverse trigonometric functions Definition, range, domain, branches of the principal value. Graphs of inverse trigonometric functions. Elemental properties of inverse trigonometric functions.

UNIT II: Algebra

  1. Concept of matrices, notation, order, equality, types of matrices, null matrices, transposition of a matrix, symmetric and asymmetric matrices.

Addition, multiplication, and scalar multiplication of matrices, simple properties of addition, multiplication, and scalar multiplication. Non-commutativity of matrix multiplication and existence of nonzero matrices whose product is zero matrices (restricted to square matrices of order 2).

The concept of elementary operations in rows and columns. Invertible matrices and inverse uniqueness test, if any; (Here, all matrices will have real inputs.)

  1. Determinants Determination of a square matrix (up to 3 × 3 matrices), properties of the determinants, minors, cofactors, and applications of the determinants to find the area of ​​a triangle.

Adjoint and inverse of a square matrix. Consistency, inconsistency, and a series of solutions of the system of linear equations, for example, solving the system of linear equations in two or three variables (which have only one solution) using the inverse of a matrix.

UNIT III: Calculus

  1. Continuity and differentiability Continuity and differentiability, derived from compound functions, chain rule, derivatives of inverse trigonometric functions, derived from implicit function. Concepts of exponential logarithmic functions.

Derivatives of x e log and x e. Logarithmic differentiation. A derivative of functions expressed in parametric forms. Derivatives of the second order. Rolle and Lagrange mean value theorems (no proof) and their geometric interpretations

  1. Applications of derivatives: rate of change, increasing/decreasing functions, tangents and normals, approximations, maxima, and minima (the first proof of geometrically motivated derivative and second proof of derivative

given as a demonstrable tool). Simple problems (illustrating the basics and understanding of the topic, as well as real-life situations). 3. Integral integration is an inverse process of differentiation. Integration of a variety.

Recommended books (Available)

Title Author
Vector Analysis Spiegal
Mathematical Physics Rajput & Gupta
Physics Resnick & Halliday
Optics Brijlal & Subramaniam
Sound Subramaniam
Sound Khanna & Bedi
Fibre Optics Ghatak, Tyagrajan

 

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