# SRMJEEE Exam Syllabus

#### SRMJEEE Exam Syllabus 2024:

SRMJEEE Exam Syllabus 2024 is published by the officials of the SRM University. It is released on the official website of the university. SRMJEEE Exam Syllabus 2024 helps the candidates to prepare for the exam in the best way possible. Given below is the detailed SRMJEEE Exam Syllabus 2024 for the aspirants. Have a look.

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#### SRMJEEE Exam Syllabus 2024

##### Mathematics
 Sets, relations and functions ·         Sets and their representation ·         Union, intersection and complement of sets and their algebraic properties ·         Power set; Relation, Types of relations, equivalence relations, functions; One-one, into and onto functions, the composition of functions. Complex numbers and quadratic equations ·         Complex numbers as ordered pairs of reals, ·         Representation of complex numbers in the form a+ib and their representation in a plane, ·         Argand diagram, ·         algebra of complex numbers, ·         modulus and argument (or amplitude) of a complex number, ·         square root of a complex number, ·         triangle inequality, ·         Quadratic equations in real and complex number system and their solutions. ·         Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots. Matrices and determinants ·         Matrices, ·         algebra of matrices, ·         types of matrices, ·         determinants and ·         matrices of order two and three. ·         Properties of determinants, ·         evaluation of determinants, ·         area of triangles using determinants. ·         Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, ·         Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices. Permutations and combinations ·         Fundamental principle of counting, ·         permutation as an arrangement and ·         combination as selection, ·         Meaning of P (n,r) and C (n,r), ·         simple applications. Mathematical induction ·         Principle of Mathematical Induction and its simple applications Binomial theorem and its simple applications ·         Binomial theorem for a positive integral index, ·         general term and middle term, ·         properties of Binomial coefficients ·         simple applications Sequences and series ·         Arithmetic and Geometric progressions, ·         insertion of arithmetic, ·         geometric means between two given numbers ·         relation between A.M. and G.M. sum upto n terms of special series: S n, S n2, Sn3 ·         Arithmetic – Geometric progression Limit, continuity and differentiability ·         Real – valued functions, ·         algebra of functions, ·         polynomials, ·         rational, ·         trigonometric, ·         logarithmic and exponential functions, ·         inverse functions ·         Graphs of simple functions ·         Limits, continuity and differentiability ·         Differentiation of the sum, difference, product and quotient of two functions ·         Differentiation of trigonometric, ·         inverse trigonometric, ·         logarithmic, ·         exponential, ·         composite and implicit functions ·         derivatives of order upto two ·         Rolle’s and Lagrange’s Mean Value Theorems ·         Applications of derivatives: Rate of change of quantities, monotonic – increasing and decreasing functions, ·         Maxima and minima of functions of one variable, ·         tangents and normals Integral calculus ·         Integral as an anti – derivative. ·         Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. ·         Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. ·         Evaluation of simple integrals of the type Integral as limit of a sum. ·         Fundamental Theorem of Calculus. ·         Properties of definite integrals. ·         Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form. Differential equations ·         Ordinary differential equations, their order and degree. ·         Formation of differential equations. ·         Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type: dy/dx+p(x)y=q(x) Co-ordinate geometry ·         Cartesian system of rectangular co-ordinates 10 in a plane, ·         distance formula, ·         section formula, ·         locus and its equation, ·         translation of axes, ·         slope of a line, ·         parallel and perpendicular lines, ·         intercepts of a line on the coordinate axes Straight lines: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines. Circles, conic sections: Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency. Three dimensional geometry ·         Coordinates of a point in space, the distance between two points, section formula, direction ratios and direction cosines, the angle between two intersecting lines. ·         Skew lines, the shortest distance between them and its equation. ·         Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines. Vector algebra ·         Vectors and scalars, ·         addition of vectors, ·         components of a vector in two dimensions and three-dimensional space, ·         scalar and vector products, scalar and vector triple product Statistics and probability Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution. Trigonometry ·         Trigonometrical identities and equations ·         Trigonometrical functions ·         Inverse trigonometrical functions and their properties ·         Heights and Distances Mathematical Reasoning ·         Statements, logical operations and, or, implies, implied by, if and only if ·         Understanding of tautology, contradiction, converse and contrapositive
##### Physics
 Physics And Measurement ·         Physics, technology and society, S I units, Fundamental and derived units ·         Least count, accuracy and precision of measuring instruments, ·         Errors in measurement, ·         Dimensions of Physical quantities, dimensional analysis and its applications Kinematics ·         Frame of reference ·         Motion in a straight line: Position-time graph, speed and velocity ·         Uniform and non-uniform motion, average speed and instantaneous velocity ·         Uniformly accelerated motion, velocity-time, position-time graphs, relations for uniformly accelerated motion. ·         Scalars and Vectors, Vector addition and Subtraction, Zero Vector, Scalar and Vector products, Unit Vector, Resolution of a Vector ·         Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion Laws Of Motion ·         Force and Inertia, ·         Newton’s First Law of motion; Momentum, Newton’s Second Law of motion; Impulse; Newton’s Third Law of motion. ·         Law of conservation of linear momentum and its applications, Equilibrium of concurrent forces. Static and Kinetic friction, laws of friction, rolling friction Dynamics of uniform circular motion: Centripetal force and its applications Work, Energy And Power Work done by a constant force and a variable force; kinetic and potential energies, work energy theorem, power The potential energy of a spring, conservation of mechanical energy, conservative and non-conservative forces; Elastic and inelastic collisions in one and two dimensions. Rotational Motion ·         Centre of mass of a two-particle system, Centre of mass of a rigid body; Basic concepts of rotational motion; the moment of a force, torque, angular momentum, conservation of angular momentum and its applications; moment of inertia, a radius of gyration. ·         Values of moments of inertia for simple geometrical objects, parallel and perpendicular axes theorems and their applications. ·         Rigid body rotation, equations of rotational motion Gravitation ·         The universal law of gravitation. ·         Acceleration due to gravity and its variation with altitude and depth. ·         Kepler’s laws of planetary motion. ·         Gravitational potential energy; gravitational potential. ·         Escape velocity. ·         Orbital velocity of a satellite. Geo-stationary satellites Properties Of Solids And Liquids ·         Elastic behaviour, Stress-strain relationship, Hooke’s Law, Young’s modulus, bulk modulus, modulus of rigidity. ·         Pressure due to a fluid column; Pascal’s law and its applications. ·         Viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow, Reynolds number. Bernoulli’s principle and its applications. ·         Surface energy and surface tension, angle of contact, application of surface tension – drops, bubbles and capillary rise. ·         Heat, temperature, thermal expansion; specific heat capacity, calorimetry; change of state, latent heat. ·         Heat transfer-conduction, convection and radiation, Newton’s law of cooling Thermodynamics ·         Thermal equilibrium, zeroth law of thermodynamics, concept of temperature. ·         Heat, work and internal energy. ·         First law of thermodynamics. ·         Second law of thermodynamics: reversible and irreversible processes. ·         Carnot engine and its efficiency. Kinetic Theory Of Gases ·         Equation of state of a perfect gas, work done on compressing a gas. ·         Kinetic theory of gases – assumptions, concept of pressure. ·         Kinetic energy and temperature: rms speed of gas molecules; Degrees of freedom, Law of equipartition of energy, applications to specific heat capacities of gases; Mean free path, Avogadro’s number Oscillations And Waves Periodic motion – period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase; oscillations of a spring -restoring force and force constant; energy in S.H.M. – kinetic and potential energies; Simple pendulum – derivation of expression for its time period; Free, forced and damped oscillations, resonance Wave motion - Longitudinal and transverse waves, speed of a wave. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect in sound Electrostatics Electric charges: Conservation of charge, Coulomb’s law-forces between two point charges, forces between multiple charges; superposition principle and continuous charge distribution. Electric field: Electric field due to a point charge, Electric field lines, Electric dipole, Electric field due to a dipole, Torque on a dipole in a uniform electric field. -Electric flux, Gauss’s law and its applications to find field due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell. Electric potential and its calculation for a point charge, electric dipole and system of charges; Equipotential surfaces, Electrical potential energy of a system of two point charges in an electrostatic field. -Conductors and insulators, Dielectrics and electric polarization, capacitor, the combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor. Current Electricity ·         Electric current, Drift velocity, Ohm’s law, Electrical resistance, Resistances of different materials, V-I characteristics of Ohmic and nonohmic conductors, Electrical energy and power, Electrical resistivity, Colour code for resistors; Series and parallel combinations of resistors; Temperature dependence of resistance. ·         Electric Cell and its Internal resistance, potential difference and emf of a cell, the combination of cells in series and in parallel. ·         Kirchhoff’s laws and their applications. ·         Wheatstone bridge, Metre bridge. ·         Potentiometer – principle and its applications. Magnetic Effects Of Current And Magnetism ·         Biot – Savart law and its application to current carrying circular loop. Ampere’s law and its applications to infinitely long current carrying straight wire and solenoid. Force on a moving charge in uniform magnetic and electric fields. Cyclotron. ·         Force on a current-carrying conductor in a uniform magnetic field. Force between two parallel current-carrying conductors-definition of ampere. Torque experienced by a current loop in uniform magnetic field; Moving coil galvanometer, its current sensitivity and conversion to ammeter and voltmeter. ·         Current loop as a magnetic dipole and its magnetic dipole moment. Bar magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements. Para-, dia- and ferro- magnetic substances. ·         Magnetic susceptibility and permeability, Hysteresis, Electromagnets and permanent magnets. Electromagnetic Induction And Alternating Currents ·         Electromagnetic induction; Faraday’s law, induced emf and current; Lenz’s Law, Eddy currents. ·         Self and mutual inductance. ·         Alternating currents, peak and rms value of alternating current/ voltage; reactance and impedance; LCR series circuit, resonance; Quality factor, power in AC circuits, wattless current. ·         AC generator and transformer Electromagnetic Waves ·         Electromagnetic waves and their characteristics. Transverse nature of electromagnetic waves. ·         Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays). ·         Applications of e.m. waves Optics Reflection and refraction of light at plane and spherical surfaces, mirror formula, Total internal reflection and its applications, Deviation and Dispersion of light by a prism, Lens Formula, Magnification, Power of a Lens, Combination of thin lenses in contact, Microscope and Astronomical Telescope (reflecting and refracting) and their magnifying powers. Wave optics ·         wavefront and Huygens’ principle, Laws of reflection and refraction using Huygen’s principle. Interference, Young’s double slit experiment and expression for fringe width. ·         Diffraction due to a single slit, width of central maximum. ·         Resolving power of microscopes and astronomical telescopes, Polarisation, plane polarized light; Brewster’s law, uses of plane polarized light and Polaroids. Dual Nature Of Matter And radiation ·         Dual nature of radiation. ·         Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation; particle nature of light. ·         Matter waves-wave nature of particle, de Broglie relation. ·         Davisson-Germer experiment. Atoms And Nuclei ·         Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum. ·         Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. ·         Radioactivity-alpha, beta and gamma particles/rays and their properties; radioactive decay law. Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission and fusion. Electronic Devices ·         Semiconductors; semiconductor diode: I-V characteristics in forward and reverse bias; diode as a rectifier; I-V characteristics of LED, photodiode, solar cell and Zener diode; Zener diode as a voltage regulator. ·         Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT, NAND and NOR). ·         Transistor as a switch. Communication Systems ·         Propagation of electromagnetic waves in the atmosphere; Sky and space wave propagation, ·         Need for modulation, ·         Amplitude and Frequency Modulation, ·         Bandwidth of signals, ·         Bandwidth of Transmission medium, ·         Basic Elements of a Communication System (Block Diagram only).