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NERIST EE 2024 or NEE 2024

North Eastern Regional Institute of Science and Technology Entrance Exam Offline

Pattern & Syllabus

Syllabus for NERIST EE 2022

Maths, Physics, Chemistry, Biology and topics from various engineering disciplines of Diploma level are to be studied while preparing for the exam. Questions related to the lessons from above mentioned subjects would feature in the exam.

The study materials in connection with the above mentioned subjects can be sourced from well-known book stores located across the country. They can be obtained from online book stores and many websites also provide them on their platforms at free of cost or at low cost. Candidates can consider these sources for procuring the study material. The syllabus is provided below for the sake of the candidates:

Physics

Units 

Topics

Unit 1

Physical World and Measurement

·         Physics-scope and excitement; nature of physical laws, Units of measurement; systems of units

Unit 2

Kinematics

·         Motion in a straight line, uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion velocity - time and position-time graphs.

Unit 3

Laws of Motion

·         Motion in a Plane - Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion, uniform circular motion.

Unit 4

Work, Energy and Power

·         Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power

Unit 5

Motion of System of Particles and Rigid Body

·         Moment of a force, torque, angular momentum, law of conservation of angular momentum and its applications

Unit 6

Gravitation

·         Kepler's laws of planetary motion, universal law of gravitation

Unit 7

Mechanical waves and Ray Optics

·         Oscillations and waves, wave motion, ray optics

Unit 8

Properties of Bulk Matter

·         Mechanical properties of solids, mechanical properties of fluids, thermal properties of matter

Unit 9

Behaviour of Perfect Gases and Kinetic Theory of Gases

·         Equation of state of a perfect gas, work done in compressing a gas

Unit 10

Thermodynamics

·         Thermal equilibrium and definition of temperature (zeroth law of thermodynamics), heat, work and internal energy

Chemistry

Units 

Topics

Unit 1

Some Basic Concepts of Chemistry

·         Nature of matter, Dalton's atomic theory, concept of elements, atoms and molecules

·         Chemical reactions and calculations based on stoichiometry

Unit 2

Structure of Atoms

·         Bohr's model and its limitations, concept of shells and subshells

·         Concept of orbitals, quantum numbers, shapes of s, p and d orbitals, rules for filling electrons in orbitals

Unit 3

Classification of Elements and Periodicity in Properties 

·         Modern periodic law and the present form of periodic table, periodic trends in properties of elements

Unit 4

Chemical Bonding and Molecular structure

·         Valence electrons, ionic bond, covalent bond, bond parameters

·         Resonance, geometry of covalent molecules

Unit 5

States of Matter: Gases, Liquids and Solids

·         Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, role of gas laws in elucidating the concept of the molecule

·         Liquid State: vapour pressure, viscosity and surface tension

·         Solid state: Classification of solids based on different binding forces

Unit 6

Chemical Thermodynamics

·         Concepts of System and types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions

·         First law of thermodynamics

·         Second law of Thermodynamics

·         Third law of thermodynamics

Unit 7

Equilibrium

·         Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant,factors affecting equilibrium- Le Chatelier's principle

Unit 8

Redox Reactions

·         Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions

Unit 9

Hydrogen

·         Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen

Unit 10

s-Block Elements (Alkali and Alkaline Earth Metals)

·         Group 1 and Group 2 Elements General introduction

·         Preparation and Properties of Some Important Compounds

·         Calcium Oxide and Calcium Carbonate and their industrial uses, biological importance of Magnesium and Calcium

Unit 11

p -Block Elements

·         General Introduction to p -Block Elements

Unit 12

Organic Chemistry - Some Basic Principles and Techniques

·         General introduction, methods of purification

·         Homolytic and heterolytic fission of a covalent bond

Unit 13

Hydrocarbons and Classification of Hydrocarbons

Unit 14

Environmental Chemistry

·         Environmental pollution, chemical reactions in atmosphere, smog, major atmospheric pollutants

Maths

  • Applications Of Matrices And Determinants
    • Adjoint, Inverse– Properties, Computation of inverses, solution of system of linear equations by matrix inversion method.
    • Rank of a Matrix− Elementary transformation on a matrix, consistency of a system of linear equations, Cramer’s rule,  Non-homogeneous equations, homogeneous linear system, rank method.   
  • Vector Algebra
    • Scalar Product – Angle between two vectors, properties of scalar product, applications of dot products
    • Vector Product− Right-handed and left-handed systems, properties of vector product, applications of cross product
    • Product of three vectors − Scalar triple product, properties of scalar triple product, vector triple product, vector product of four vectors, scalar product of four vectors
    • Lines− Equation of a straight line passing through a given point and parallel to a given vector, passing through two given points (derivations are not required) and angle between two lines.
    • Skew lines − Shortest distance between two lines, condition for two lines to intersect, point of intersection, collinearity of three points
    • Planes − Equation of a plane (derivations are not required), passing through a given point and perpendicular to a vector, given the distance from the origin and unit normal, passing through a given point and parallel to two given vectors, passing through two given points
    • Sphere − Equation of the sphere (derivations are not required) whose centre and radius are given, equation of a sphere when the extremities of the diameter are given
  • Complex Numbers
    • Conjugate−  properties, ordered pair representation
    • Modulus− properties, geometrical representation, meaning, polar form, principal value, conjugate, sum, difference, product, quotient, vector interpretation, solutions of polynomial equations, De Moivre’s theorem and its applications
    • Roots of a complex number − nth roots, cube roots, fourth roots
  • Analytical Geometry
    • Definition of a Conic− General equation of a conic, classification with respect to the general equation of a conic, classification of conics with respect to eccentricity
    • Parabola− Standard equation of a parabola (derivation and tracing the parabola are not required), other standard parabolas, the process of shifting the origin, general form of the standard equation, some practical problems
    • Ellipse− Standard equation of the ellipse (derivation and tracing the ellipse are not required), x2/a2 + y2/b2  = 1, (a > b), Other standard forms of the ellipse, general forms, some practical problems
    • Hyperbola− standard equation (derivation and tracing the hyperbola are not required), x2/a2 − y2/b2=1, Other forms of the hyperbola, parametric form of conics, chords
    • Tangents and Normals− Cartesian form
    • Parametric form, equation of chord of contact of tangents from a point (x1, y1)
    • Asymptotes, Rectangular hyperbola– standard equation of a rectangular hyperbola
  • Differential Calculus and its Applications
    • Derivative as a rate measure − rate of change − velocity − acceleration − related rates − Derivative as a measure of slope − tangent, normal and angle between curves. Maxima and Minima. Mean value theorem − Rolle’s Theorem − Lagrange Mean Value Theorem − Taylor’s and Maclaurin’s series, l’ Hôpital’s Rule, stationary points − increasing, decreasing, maxima, minima, concavity convexity, points of inflexion
    • Errors and approximations absolute, relative, percentage errors, curve tracing, partial derivatives − Euler’s theorem
  • Integral Calculus And Its Applications- Properties of definite integrals, reduction formulae for sinnx and cosnx (only results), Area, length, volume and surface area
  • Differential Equations- Formation of differential equations, order and degree, solving differential equations (1st order) − variable separable homogeneous, linear equations. Second-order linear equations with constant coefficients f(x) = emx, sin mx, cos mx, x, x2
  • Discrete Mathematics- Mathematical Logic − Logical statements, connectives, truth tables, Tautologies
  • Groups - Binary Operations − Semi groups − monoids, groups (Problems and simple properties only), order of a group, order of an element
  • Probability Distributions-  Random Variable, Probability density function, distribution function, mathematical expectation, variance, Discrete Distributions − Binomial, Poisson, Continuous Distribution − Normal distribution

Biology

Unit

Topic / Chapters

I

Diversity of Living Organisms

Chapter-1: The Living World

Chapter-2: Biological Classification

Chapter-3: Plant Kingdom

Chapter-4: Animal Kingdom

II

Structural Organisation in Plants & Animals

Chapter-5: Morphology of Flowering Plants

Chapter-6: Anatomy of Flowering Plants

Chapter-7: Structural Organisation in Animals

III

Cell: Structure and Function

Chapter-8: Cell-The Unit of Life

Chapter-9: Biomolecules

Chapter-10: Cell Cycle and Cell Division

IV

Plant Physiology

Chapter-11: Transport in Plants

Chapter-12: Mineral Nutrition

Chapter-13: Photosynthesis in Higher Plants

Chapter-14: Respiration in Plants

Chapter-15: Plant - Growth and Development

V

Human Physiology

Chapter-16: Digestion and Absorption

Chapter-17: Breathing and Exchange of Gases

Chapter-18: Body Fluids and Circulation

Chapter-19: Excretory Products and Their Elimination

Chapter-20: Locomotion and Movement

Chapter-21: Neural Control and Coordination

Chapter-22: Chemical Coordination and Integration

 

Unit

Topic / Chapters

VI

Reproduction

Chapter-1: Reproduction in Organisms

Chapter-2: Sexual Reproduction in Flowering Plants

Chapter-3: Human Reproduction

Chapter-4: Reproductive Health

VII

Genetics and Evolution

Chapter-5: Principles of Inheritance and Variation

Chapter-6: Molecular Basis of Inheritance

Chapter-7: Evolution

VIII

Biology and Human Welfare

Chapter-8: Human Health and Diseases

Chapter-9: Strategies for Enhancement in Food Production

Chapter-10: Microbes in Human Welfare

IX

Biotechnology and its Applications

Chapter-11: Biotechnology - Principles and Processes

Chapter-12: Biotechnology and its Application

X

Ecology and Environment

Chapter-13: Organisms and Populations

Chapter-14: Ecosystem

Chapter-15: Biodiversity and its Conservation

Chapter-16: Environmental Issues

Engineering discipline syllabus

Lessons of these subjects (mentioned below) taught at 3 year diploma level are to be studied while preparing for the exam

  • Agriculture Engineering
  • Civil Engineering
  • Computer Science
  • Electronics Engineering
  • Electrical Engineering
  • Mechanical Engineering

 

 

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