# GCET Syllabus 2019, Check Section & Subject Wise Syllabus Here

The Directorate of Technical Education is conducted the Goa Common Entrance Test (GCET) and it is providing the various courses to candidates and those applicants are seeking to get admission in the institute of Goa can fill the application form of GCET to give the examination. Every year most of the candidates may appear for this examination.

The courses are provided by GCET is in the field of Medicine, Dentistry, Engineering, Pharmacy, Architecture, Homeopathy and Nursing and other allied courses for candidates. The various professional colleges of DTE are located in the Goa and the Goa resident candidates can apply for this exam.

Here, through this article, the candidates will be able to get complete information of GCET in which includes GCET Syllabus, exam pattern, exam dates, etc.

**GCET Syllabus**

The candidates have to prefer the syllabus for better preparation of examination and those candidates will prefer the syllabus, they will be able to prepare well.

**Physics Syllabus**

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- The 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**

- The 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**

- The 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 their 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

**The unit**** I: RELATIONS AND FUNCTIONS****1. Relations and Functions Types of relations:** Reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, the inverse of a function. Binary operations. 2. Inverse Trigonometric Functions Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions. **UNIT II: ALGEBRA****1.** Matrices Concept, notation, order, equality, types of matrices, zero matrices, the transpose of a matrix, symmetric and skew-symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix

(restrict to square matrices of order 2). The concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

**2.** Determinants Determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency, and number of solutions of the system of linear equations by examples, solving system of linear equations in two or three variables (having a unique solution) using the inverse of a matrix.

**UNIT III: Calculus****1.** Continuity and Differentiability Continuity and differentiability, the derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Concepts of exponential, logarithmic functions.

Derivatives of x e log and x e. Logarithmic differentiation. The derivative of functions expressed in parametric forms. Second order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretations**2.** Applications of Derivatives Applications of derivatives: Rate of change, increasing/decreasing functions, tangents, and normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test

given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations). 3. Integrals Integration as the inverse process of differentiation. Integration of a variety.

**Recommended books**

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S.No. | Title | Author |

1. | Vector Analysis | Spiegal |

2. | Mathematical Physics | Rajput & Gupta |

3. | Physics | Resnick & Halliday |

4. | Optics | Brijlal & Subramaniam |

5. | Sound | Subramaniam |

6. | Sound | Khanna & Bedi |

7. | Fibre Optics | Ghatak, Tyagrajan |

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