Assam CEE

Units and Measurement

SI units, dimensional analysis, errors and significant figures.

Motion in One Dimension

Displacement, velocity, acceleration, equations of uniformly accelerated motion.

Motion in Two or Three Dimensions

Projectile motion, uniform circular motion, relative velocity in 2D.

Laws of Motion

Newton's laws, friction, free-body diagrams, dynamics on inclines.

Work, Energy and Power

Work-energy theorem, conservative forces, collisions, power.

Rotational Motion and Moment of Inertia

Moment of inertia, torque, angular momentum, rolling motion.

Gravitation

Kepler's laws, escape velocity, satellites, gravitational potential.

Solids and Fluids

Elastic moduli, Bernoulli, viscosity, surface tension.

Heat and Thermodynamics

Calorimetry, laws of thermodynamics, heat engines and refrigerators.

Transference of Heat

Conduction, convection, radiation, Stefan's law.

Oscillations

SHM, energy in SHM, simple and compound pendulum.

Waves

Wave equation, beats, standing waves, Doppler effect.

Electrostatics

Coulomb's law, field, potential, Gauss's law, dielectrics.

Current Electricity

Ohm's law, Kirchhoff, Wheatstone bridge, drift velocity.

Thermal and Chemical Effects of Currents

Joule's law, Peltier, Seebeck, Thomson effects, electrolysis.

Magnetic Effects of Currents

Biot-Savart, Ampere's law, force on charge, cyclotron, solenoid.

Magnetostatics

Magnetic dipole, Earth's magnetism, dia/para/ferromagnetism.

Electromagnetic Induction and Alternating Currents

Faraday, Lenz, self/mutual inductance, RLC circuits, transformer.

Electromagnetic Waves

Maxwell's equations, EM spectrum.

Ray Optics

Reflection, refraction, lenses, prism, optical instruments.

Wave Optics

Huygens, interference, diffraction, polarisation.

Electron and Photons

Photoelectric effect, Einstein's equation, work function.

Atoms

Rutherford and Bohr models, hydrogen spectrum.

Molecules and Nuclei

Mass defect, fission, fusion, decay laws.

Solids and Semiconductor Devices

P-N junction, diodes, BJT, logic gates.

Some Basic Concepts

Mole concept, stoichiometry, empirical and molecular formulae.

States of Matter

Gas laws, ideal vs real gases, van der Waals, liquid state.

Atomic Structure

Bohr model, quantum numbers, orbitals, electron configuration.

Solutions

Concentration units, Raoult's law, colligative properties.

Chemical Energetics and Thermodynamics

First law, enthalpy, entropy, Gibbs energy.

Chemical Equilibrium

Kc, Kp, ionic equilibrium, pH, buffers, Ksp.

Redox Reactions and Electrochemistry

Oxidation numbers, balancing, galvanic cells, Nernst equation.

Rates of Chemical Reactions and Chemical Kinetics

Rate laws, order, integrated rate equations, Arrhenius.

Surface Chemistry

Adsorption, catalysis, colloids, emulsions.

Chemical Families – Periodic Properties

Periodic trends, classification of elements.

Chemical Bonding and Molecular Structure

Ionic, covalent, coordinate; VSEPR, hybridization, MOT.

Chemistry of Non-Metals (I)

Hydrogen, group 14 non-metals.

Chemistry of Non-Metals (II)

Group 15-18 non-metals — preparation, properties.

Heavy Metals

Iron, copper, lead, zinc — metallurgy and compounds.

Chemistry of Representative Elements

s-block and p-block representative elements.

Alkali Metals

Group 1 — properties, compounds, biological role.

Alkaline Earth Metals

Group 2 — properties, compounds, hardness of water.

Boron and Carbon Family

Group 13 and 14 — properties and important compounds.

Nitrogen and Oxygen Family

Group 15 and 16 — properties and important compounds.

Halogen Family and Noble Gases

Group 17 and 18 — properties and uses.

Transition Metals including Lanthanides

d- and f-block elements, oxidation states, complexes.

Coordination Compounds

Werner's theory, IUPAC, isomerism, VBT, CFT.

Nuclear Chemistry

Radioactivity, decay laws, fission, fusion, isotopes in tracer.

Some Basic Principles of Organic Chemistry

IUPAC nomenclature, isomerism, electron displacement effects.

Classification of Organic Compounds

Functional groups, homologous series.

Hydrocarbons

Alkanes, alkenes, alkynes, aromatic hydrocarbons.

Organic Compounds containing Halogens

Haloalkanes and haloarenes — SN1/SN2, elimination.

Organic Compounds containing Oxygen

Alcohols, phenols, ethers, aldehydes, ketones, carboxylic acids.

Organic Compounds containing Nitrogen

Amines, nitro compounds, diazonium salts.

Synthetic and Natural Polymers

Addition, condensation, biodegradable polymers.

Biomolecules and Biological Processes

Carbohydrates, proteins, enzymes, vitamins, nucleic acids.

Chemistry in Action

Drugs, soaps, detergents, food preservatives.

Environmental Chemistry

Air, water, soil pollution, green chemistry.

Sets and Functions

Set operations, types of relations, domain/range, composite functions.

Algebra

Quadratic equations, sequences, binomial theorem, complex numbers.

Matrices and Determinants

Operations, properties, inverse, system of linear equations.

Trigonometry

Identities, equations, sum/difference and multiple angle formulas, ITF.

Coordinate Geometry (2D)

Straight lines, circles, parabola, ellipse, hyperbola.

Three-Dimensional Geometry

Direction cosines/ratios, lines, planes, angles.

Limits and Continuity

Limits, continuity, differentiability.

Differential Calculus

Differentiation rules, applications — tangent, normal, max-min.

Integral Calculus

Indefinite and definite integrals, applications — area.

Differential Equations

Order, degree, variable separable, linear, homogeneous.

Vector Algebra

Dot/cross product, scalar triple product, projections.

Statistics

Mean deviation, variance, SD, coefficient of variation.

Probability

Conditional probability, Bayes' theorem, binomial distribution.

Linear Programming

LPP formulation, graphical method, feasible region.

Permutations and Combinations

nPr, nCr, circular arrangements.

Mathematical Reasoning

Logical statements, validity of arguments.