AEEE 2025 Syllabus

Units and dimensions

• Units for measurement
• Dimensions (their applications)
• Fundamental and derived units

Mechanics

• Motion in a straight line
• Non-uniform and uniform motion
• Vector and scalar products
• Concept of work, energy, and power
• Gravitation

Solids and Fluids

• Solids
• Oscillations and waves
• Heat and thermodynamics
• Electrostatics, magneto statistics, and current electricity
• Magnetic effects

Electromagnetic waves/induction

• Faraday’s law
• Lenz’s law
• Transformer and AC generator
• Electromagnetic waves (their characteristics)

Ray and wave optics

• Diffraction
• Refraction/reflection of light at plane/curved surfaces
• Newton’s rings
• Polarization

Modern physics

• Dual nature of radiation
• Radioactive decay law
• Nuclear binding energy
• Transistor as an amplifier

Basic concepts

• Molecular/atomic masses
• Chemical reactions
• Stoichiometry

Molecular structure, chemical bonding, atomic structure

• Bohr’s model
• Bond formation/ bond bond parameters
• VSEPR theory
• Hydrogen bond

Thermodynamics/equilibrium

• Heterogeneous/homogeneous bond
• Ionic equilibrium
• Acids, bases, and salts
• Gibb’s free energy

Kinetics/electrochemistry/ surface chemistry

• Kohlrausch law
• Nernst equation
• Collision theory
• Colloids and emulsions

Solutions/solid state

• Molecular, ionic, metallic solids
• Magnetic/electrical properties
• Ideal/non-deal solutions

Hydrogen

• Position of hydrogen in periodic table
• Hydrogen as fuel

P, D, F block elements

• Group 13 to 17 elements
• Ionization enthalpy
• Lanthanides and actinoids

Coordination compounds

• Werner’s theory
• Coordination number and isomerism

Basic organic chemistry (techniques)

• Electronic displacement in covalent bond
• Purification methods in organic compounds
• Qualitative/quantitative analysis

Hydrocarbons, haloarenes, haloalkanes

• Alkynes, alkenes, alkanes, and aromatic hydrocarbons
• IUPAC nomenclature
• Mechanism of substitution reactions

Alcohols, ethers, and phenols

• Mechanism of dehydration
• Primary and secondary identification of tertiary and secondary alcohols.

Aldehydes, ketones, carboxylic acids, and amines

• Nomenclature
• Reaction of alpha hydrogen in aldehydes
• Physical/chemical properties of group members

Biomolecules/polymers

• Synthetic/natural polymers
• Molecular weight of polymers
• Carbohydrates

Environmental chemistry

• Water/air/soil pollution
• Acid rain
• Ozone and its depletion

Chemistry in everyday life

• Drugs (its interaction)
• Chemical in food
• Artificial sweetening agents

Complex numbers

• Argand diagram
• Complex numbers algebra
• Cube roots of unity

Linear inequalities

• Linear inequalities and their algebraic solutions

Combinations/permutations

• Fundamental principles of counting
• Permutation as arrangement

Binomial theorem

• Pascal’s triangle
• Simple applications
• General/middle terms in binomial theorem

Sequence and series

• Geometric/arithmetic/harmonic progressions
• Geometric/exponential/logarithmic series

Determinants/matrices

• Determinant’s properties
• Addition/multiplication of matrices
• Inverse and adjoint matrix

Quadratic equations

• Relation between root and coefficient
• Nature of roots

Functions/relations

• Relation’s definition
• Real valued function of real variable
• Types of relations

Trigonometry

• Trigonometric equations/identities
• Triangle’s properties
• Solutions of triangles
• Heights and distances

Measures of central tendency/dispersion

• Calculation of mean, mode, and median for grouped/ungrouped data
• Standard deviation calculation

Probability

• Conditional probability
• Bayes theorem
• Poisson/binomial distributions

Differential calculus

• Graph of simple functions
• Continuity and limits
• Applications of derivatives
• Minima and maxima of functions one variable

Integral calculus

• Integral as an antiderivative
• Integration by substitution, parts, and partial functions
• Definite integrals and properties

Differential equations

• Ordinary differential equations
• Differential equations formations
• Solution for homogeneous and linear differential equations

Two dimensions geometry

• Distance formula
• Area of triangle
• Slope of a line, perpendicular, and parallel lines

Straight line/pair of straight lines

• Intersection of lines
• Point of intersection and angles between two lines
• Various form of equations in a line

Circles/family of circles

• Standard/general form of equation of circle
• Equation of circle in parametric form

Conic section

• Sections for cones
• Conic sections equations

Vector algebra

• Scalars and vectors
• Vectors/scalar products

Three dimensional geometry

• Two points distance
• Shortest distance between two lines
• Vector/cartesian equation of a line

Articles

Synonyms and antonyms

Prepositions

Verbs