**OJEE Syllabus 2022**: Odisha Joint Entrance Examinations Committee (OJEEC) prescribes the syllabus of Odisha JEE 2022. Also, all the OJEE aspirants must be familiar with the OJEE Syllabus. In order to score well in the Odisha Joint Entrance Examination, candidates need to be aware of the paper pattern, syllabus, and exam rules. Further, proper knowledge of the OJEE Paper Pattern will assist the candidates in performing well. In this article, we are going to elaborate * OJEE B.Tech (L.E.) Syllabus *for Diploma students & B.S. students. Also, every exam has a different syllabus. Hence, Odisha JEE aspirants must check the syllabus carefully.

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## OJEE Syllabus 2022

Below is the detailed syllabus for OJEE B.Tech lateral entry. So, the candidates must study according to the exam.

### For Lateral Entry to B.Tech (Diploma Students)

**Engineering Mathematics**

Algebra | Definition of complex number, Conjugate of complex number, Modulus and amplitude of a complex number. Algebra of complex numbers. Cube root of unity and their properties, De’Moivre’s theorem and its application, Permutation, Combination, Binomial Theorem for any rational index, Relationship between Binomial coefficients |

Determinant and Matrices | Properties of determinants. Crammer’s Rule, Types of matrices, Transpose, Adjoint and inverse of a matrix upto third order. Solution of simultaneous equation by matrix method. |

Trigonometry | Trigonometrical ratios, multiple and submultiple angles, solution of |

Analytical Geometry | Distance formula, Division formula, Area of trapezium, Area of Triangle, Equation of straight lines in different form, Distance of a point from a line, Equation of circle in different forms |

Vector Algebra | Definition, Algebra of vectors, Position Vector, Resolution of vector into components, normal vector, unit vector, Scalar and Vector product of two vectors and their application, scalar triple product and its application. |

Calculus | Limit and continuity of function, Derivative of standard functions, Derivative of composite functions. Differentiation of implicit functions, Differentiation of function in parametric form, Differentiation using logarithm, Differentiation of a function with respect to another function, Successive differentiation in simple cases, Maxima, minima and point of inflection, Partial derivative, Euler’s theorem for homogeneous functions. Standard methods of integration (by parts, by substitution, by partial fraction etc.). Definite integrals and their properties. Area bounded by curves. |

Ordinary Differential Equation | Order and degree of differential equation, formation of differential equation. Solution of first order and first degree differential equation. (Linear and homogeneous) |

Coordinate Geometry of three Dimension: | Distance and Division formulae, Direction cosine and direction ratio of a line, condition of perpendicularity and parallelism, Equation of plane under different conditions, angle between two planes, Distance of a point from a plane, General equation of a sphere, Equation of a sphere with given diameter. |

Probability and Statistics: | Measures of central tendency (Mean, Median, Mode), Measures of dispersion (Mean Deviation, Standard Deviation and Variance), Definition of probability, equally likely, Mutually exclusive and independent events. Addition theorem of probability |

**Engineering Mechanics**

Force and Moments | Force and its effects, Classification of forces, Principle of Transmissibility, Principle of Superposition, Action and Reaction, Tension and Compression, Free Body Diagram. Co-planer concurrent forces: Resultant of forces, Equilibrium of forces and equilibrant, Parallelogram law of forces and determination of the resultant of two concurrent forces, Components and resolve parts of a force, Principle of resolution of a force and any number of forces, Analytical determination of resultant of number of concurrent forces, Lami’s Theorem, Triangle law of forces and polygon law of forces. Coplanar non-concurrent forces: Moment of a force, Statement and proof of Varignon’s theorem, Conditions of equilibrium, Determination of resultant of two like and unlike parallel forces, Couple and its moment, Various types of supports with their reactions, Simple problems on coplanar non concurrent forces with the help of free body diagram. |

Center of Gravity and Moment of Inertia | Centroid and Center of Gravity(C.G.), Expression for C.G. of straight line (uniform rod),triangle, rectangle, circular, semicircular lamina. Expression for C.G. of solids like hemisphere and cone (Expression only). Different types of engineering sections (symmetrical and non-symmetrical built up sections). Location of the C.G. of the above sections. Definition of Moment of Inertia (M.I.) of plain figure as second moment of area. Perpendicular axes theorem, parallel axis theorem. M.I. of plane lamina like rectangle, triangle, circle, and semicircle (from 1st principle) M.I.of different engineering sections. |

Friction | Frictional force, angle of friction, limiting friction, co-efficient of friction, Laws of Static Friction. Simple problems on ladder, Body on Inclined planes with applied force parallel to the plane and horizontal, Screw Jack |

Gear Drive | Various types of gears, Gear terminology, Velocity ratio and expression for the velocity ratio for simple gears. Types of gear trains (simple and compound gear trains) |

Simple Lifting Machine | Definition of a machine. Simple and compound lifting machines. Mechanical Advantage (MA), Velocity Ratio (VR) and efficiency of lifting machine. Relationship between MA, VR and efficiency. Laws of machine, Friction in machines, Friction in terms of load and friction in terms of effort. Reversible machine and self-locking machine. Condition of reversibility of a machine. Velocity Ratio and efficiency of 1st, 2nd & 3rd system of pulleys; Simple and differential wheel & axle, Screw jack |

Simple Stress and Strain | Stress, strain, tensile, compressive and shear types of stress and strain, Hooke’s Law of elasticity, Poisson’s ratio, Elastic limit, Elastics Constants (E, G & K ) relationship between E,G &K, Stress-strain curve and salient points on stress-strain curve for ductile material. Simple problems on stress and strain in case of material with uniform cross-section |

Dynamics | Kinematics and kinetics of a particle, Principle of Dynamics:-Newton’s laws of motion, D’Alembert’s Principle and its application. Motion of particle acted upon by a constant force. Engineering Application of Work, Power and Energy: Work done, force-displacement diagram, Work done in stretching a spring, Power, Indicated Power, Brake Power and efficiency. Kinetic and potential energy & its application, Force, Momentum and Impulse, Conservation of energy and linear momentum, Collision of elastic bodies, Co-efficient of restitution (e), Velocity after impact. Impact of body with a fixed plane. |

**Basic Electrical and Electronics Engineering**

*Basic Electrical Engineering*

Fundamentals and AC Theory | Concept of Source and Load, Ohm’s Law, Concept of resistance, Series and Parallel DC circuits, Kirchhoff’s Laws, Faraday’s Laws of Electromagnetic Induction, Fleming’s Left 7 Hand Rule and Right Hand Rule. Generation of alternating emf, Difference between DC and AC, Amplitude, Cycle, Time period, Frequency, Phase, Phase Angle, Phase Difference, Instantaneous value, RMS value, Average value, Amplitude factor and Form factor, Phasor diagram representation of AC values, AC through pure resistance, inductance and capacitance, AC through RL, RC and RLC circuits, Impedance Triangle and Power Triangle. |

Conversion of Electrical Energy | DC machine and its main parts. DC generators: Principle of operation and emf equation. DC motors: Principle of operation, classification, torque equation and applied voltage V-back emf Eb relation. Starters used for DC motors, Use of different types of DC generators and motors, Concept of single phase Transformer and its application, Principle of operation of Three-phase and Single-phase Induction Motors. |

Power Billing | Calculation of Power used in small electrical appliances and installation, Calculation of Energy consumption in small electrical installations, Earthing installation, types (Pipe and Plate earthing) and uses. |

Measuring Instruments and Storage Devices | Introduction to measuring instruments, Expression for Torque in measuring instruments, Use of PMMC and MI type of instruments( Ammeters and Voltmeters). Connection diagram of AC/DC ammeter, voltmeter, energy meter and wattmeter for single phase electrical system only, Introduction to storage devices and their types. Charging, Discharging and Maintenance of Lead Acid battery. |

*Basic Electronics Engineering*

Electronic Devices | Classification of material according to electrical conductivity (Conductor, Semiconductor & Insulator) with respect to energy band diagram only. Principle of working and use of PN junction diode, Zener diode and Light Emitting Diode (LED), Integrated circuits (I.C) & its advantages. |

Electronic Circuits | Principles of working of different types of Rectifiers with their merits and demerits, Transistor, Different types of Transistor Configuration and state output and input current gain relationship in CE, CB and CC configuration (No mathematical derivation), Need of biasing and explain different types of biasing with circuit diagram (only CE configuration), Amplifiers (concept), Working principles of single phase CE amplifier. |

Communication System | Basic communication system (concept & explanation with help of Block diagram), Concept of Modulation and Demodulation, Difference between them, Different types of Modulations (AM, FM, and PM) based on signal, carrier and modulated wave (Only Concept, No Mathematical Derivations) |

Transducers And Measuring Instruments | Concept of Transducer and sensor with their differences, Working principle of photoemissive, photoconductive, photovoltaic transducer and its application, Multimeter and its applications. |

## Steps to Download OJEE Syllabus 2022

The syllabus will release in online mode. In order to download it, the candidates need to follow the step-wise process.

- Visit the official website of OJEE
- On the left side of the homepage, OJEE Syllabus 2021 link will appear
- Click on the link and the syllabus PDF will open
- Download the
for future uses**Odisha JEE Syllabus PDF**