OJEE 2026 LE Tech Diploma Syllabus PDF - Download OJEE LE Tech Diploma Syllabus Topic wise

A. Engineering Mathematics

Algebra

1. Definition of complex number, conjugate, modulus, and amplitude

2. Algebra of complex numbers

3. Cube root of unity and its properties

4. De Moivre's theorem and applications

5. Permutation and combination

6. Binomial theorem for any rational index

7. Relationship between binomial coefficients

Determinant and Matrices

1. Properties of determinants

2. Crammer’s Rule

3. Types of matrices

4. Transpose, adjoint, and inverse of matrices (up to third order)

5. Solution of simultaneous equations using matrix method

Trigonometry

1. Trigonometric ratios

2. Multiple and submultiple angles

3. Solution of trigonometric equations

4. Properties of triangles

5. Inverse circular functions and properties

Analytical Geometry

1. Distance formula

2. Division formula

3. Area of trapezium

4. Area of triangle

5. Equation of straight lines (various forms)

6. Distance of a point from a line

7. Equation of a circle (various forms)

Vector Algebra

1. Definition and algebra of vectors

2. Position vector

3. Resolution into components

4. Normal vector, unit vector

5. Scalar and vector product of two vectors

6. Scalar triple product

Calculus

1. Limit and continuity of functions

2. Derivative of standard, composite, implicit, and parametric functions

3. Logarithmic differentiation

4. Successive differentiation

5. Maxima, minima, points of inflection

6. Partial derivatives

7. Euler’s theorem for homogeneous functions

Integration

1. Methods: by parts, substitution, partial fractions

2. Definite integrals and properties

3. Area bounded by curves

Ordinary Differential Equations

1. Order and degree

2. Formation and solution of first order and first degree (linear and homogeneous)

Coordinate Geometry (3D)

1. Distance and division formulae

2. Direction cosine and direction ratios

3. Conditions for perpendicularity and parallelism

4. Equation of a plane

5. Angle between two planes

6. Equation of a sphere

Probability and Statistics

1. Measures of central tendency: mean, median, mode

2. Measures of dispersion: mean deviation, standard deviation, variance

3. Probability: Definition, equally likely, mutually exclusive and independent events

4. Addition theorem of probability

B. Engineering Mechanics

Force and Moments

1. Force and its effects

2. Classification of forces

3. Principles of transmissibility and superposition

4. Action and reaction

5. Tension and compression

6. Free body diagram

7. Coplanar forces: Resultant, equilibrium, parallelogram law, components, Lami’s theorem

Center of Gravity & Moment of Inertia

1. Centroid, center of gravity (C.G.) of geometric shapes (line, triangle, rectangle, circle, etc.)

2. Moment of inertia (M.I.) of plane figures (rectangles, triangles, circles, etc.)

3. Perpendicular and parallel axis theorems

Friction

1. Frictional force, angle of friction, limiting friction, coefficient of friction

2. Laws of static friction

3. Problems on ladder and inclined planes

Gear Drive

1. Types of gears

2. Gear terminology

3. Velocity ratio for simple gears

4. Types of gear trains (simple and compound)

Simple Lifting Machines

1. Definition of machine

2. Mechanical advantage, velocity ratio, efficiency

3. Laws of machines

4. Simple, differential pulleys, screw jack

Simple Stress and Strain

1. Types of stress (tensile, compressive, shear)

2. Hooke’s Law

3. Poisson’s ratio

4. Elastic constants (E, G, K)

5. Stress-strain curve for ductile materials

Dynamics

1. Kinematics and kinetics

2. Newton’s laws of motion

3. D’Alembert’s principle

4. Work, power, energy, momentum, impulse

5. Conservation of energy, linear momentum

C. Basic Electricla & Electronics Engineering

C 1. Basic Electrical Engineering

Fundamentals and AC Theory

1. Concept of source and load, Ohm’s Law, series and parallel DC circuits

2. Kirchhoff’s laws

3. Faraday’s laws

4. Fleming’s left and right-hand rules

5. AC and DC: differences, concepts, values, phasor diagrams, AC circuits, impedance and power triangles

Conversion of Electrical Energy

1. DC machine components

2. DC generators (operation and emf equation)

3. DC motors (operation, classification, torque, back emf)

4. Transformers (single and three-phase)

5. Induction motors

Power Billing

1. Power calculation for electrical appliances

2. Energy consumption

3. Earthing installation (pipe and plate earthing)

Measuring Instruments and Storage Devices

1. Measuring instruments: PMMC, MI type

2. Connection diagrams for AC/DC ammeter, voltmeter, wattmeter

3. Storage devices and types (lead-acid batteries, maintenance)

C 2. Basic Electronics Engineering

Electronic Devices

1. Electrical conductivity of materials (conductor, semiconductor, insulator)

2. PN junction diode, Zener diode, LED

3. Integrated circuits

Electronic Circuits

1. Rectifiers (types, merits, demerits)

2. Transistor configurations (CE, CB, CC)

3. Biasing (CE configuration)

4. Amplifiers (CE)

Communication System

1. Basic communication system

2. Modulation and demodulation (AM, FM, PM)

Transducers & Measuring Instruments

1. Transducers and sensors

2. Working of photo emissive, photoconductive, photovoltaic transducers

3. Multimeter and applications

1. Engineering Mathematics

Algebra

1. Complex numbers: Modulus, argument, De’Moivre’s Theorem

2. Permutation and combination

3. Binomial theorem and its applications

Determinants and Matrices

1. Properties of determinants

2. Matrix operations and Cramer’s rule

3. Solving systems of equations

Trigonometry

1. Trigonometrical ratios and identities

2. Properties of triangles

3. Inverse trigonometric functions

Calculus

1. Limits, continuity, and differentiability

2. Maxima and minima

3. Standard methods of integration

4. Definite integrals and their properties

Ordinary Differential Equations

1. First-order differential equations

2. Linear and homogeneous equations

Probability and Statistics

1. Measures of central tendency (Mean, Median, Mode)

2. Basic probability and addition theorem

2. Engineering Mechanics

Force and Moments

1. Resultant and equilibrium of forces

2. Coplanar and concurrent forces

Center of Gravity and Moment of Inertia

1. Calculating CG of basic shapes

2. Parallel and perpendicular axis theorems

Friction

1. Laws of static friction and applications

2. Ladder and inclined plane problems

Simple Stress and Strain

1. Hooke’s Law and stress-strain curves

2. Elastic constants and relationships

3. Basic Electrical and Electronics Engineering

AC Theory

1. AC through resistance, inductance, and capacitance

2. Phasor diagrams and impedance

Electrical Machines

1. DC generators and motors

2. Single-phase transformers

Basic Electronics

1. Diodes (PN junction, Zener)

2. Transistor configurations

3. Rectifiers and amplifiers