AEEE 2025 Syllabus

Chapters 

Topics in the Chapters 

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 

Chapters 

Topics in the Chapters 

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 

Chapters 

Topics in the Chapters 

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