RUET Admission Test 6-Month Plan

Quadratic equations, polynomial functions, progressions (AP, GP), permutations and combinations, binomial theorem, matrices, and determinants for engineering entrance preparation.

Limits and continuity, differentiation and integration of polynomial, exponential, logarithmic and trigonometric functions, with applications to rates and areas.

Straight lines, circles, conic sections (parabola, ellipse, hyperbola), coordinate geometry in 3D, and transformation of axes for solving complex geometric problems.

Trigonometric ratios, identities, equations, inverse trigonometry, height and distance problems, and application of De Moivre's theorem for complex numbers.

Vector addition, subtraction, dot and cross products, scalar triple product, and application of vectors in geometry and physics problems.

Measures of central tendency (mean, median, mode), standard deviation, variance, probability theorems, conditional probability, Bayes theorem, and random variables.

Algebra of complex numbers, modulus and argument, polar form, De Moivre's theorem, cube roots of unity, and geometric interpretation on the Argand diagram.

Sets, Venn diagrams, operations on sets, truth tables, logical connectives, implications, converse, inverse, contrapositive, and proof techniques.

Laws of motion, friction, work-energy theorem, conservation of momentum, rotational dynamics, moment of inertia, angular momentum, and gravitation for engineering applications.

Heat transfer, specific heat, calorimetry, kinetic theory of gases, thermodynamic processes, laws of thermodynamics, entropy, and heat engines with efficiency calculations.

Wave motion, superposition principle, standing waves, sound waves, Doppler effect, reflection, refraction, interference, diffraction, polarization, and optical instruments.

Coulomb's law, electric field, potential, capacitance, Ohm's law, Kirchhoff's laws, magnetic field, Biot-Savart law, electromagnetic induction, AC circuits, and electromagnetic waves.

Photoelectric effect, Bohr atom model, de Broglie wavelength, Heisenberg uncertainty principle, wave-particle duality, nuclear physics, radioactivity, and semiconductor physics.

Pascal's law, Archimedes principle, Bernoulli's theorem, viscosity, surface tension, capillary action, and fluid dynamics applications in engineering systems.

Oscillations, simple pendulum, mass-spring systems, damped oscillations, forced oscillations, resonance, and energy in SHM with graphical analysis.

Newton's law of gravitation, variation of g, escape velocity, orbital velocity, Kepler's laws, satellite motion, and gravitational potential energy calculations.

Bohr's atomic model, quantum numbers, electron configuration, Aufbau principle, Hund's rule, Pauli's exclusion principle, and periodic properties of elements.

Ionic, covalent, and metallic bonds, VSEPR theory, hybridization (sp, sp², sp³), molecular orbital theory, bond parameters, and hydrogen bonding.

Nomenclature, structure, and reactions of alkanes, alkenes, alkynes, aromatic compounds, alcohols, aldehydes, ketones, carboxylic acids, and amines with reaction mechanisms.

Periodic table trends, s-block and p-block elements, coordination compounds, transition metals, lanthanides, actinides, and chemical periodicity across periods and groups.

Mole concept, stoichiometry, gas laws, liquid and solid states, colligative properties, chemical equilibrium, Le Chatelier's principle, and equilibrium constant calculations.

First and second laws of thermodynamics, enthalpy, entropy, Gibbs free energy, spontaneity of reactions, thermochemical equations, and Hess's law applications.

Redox reactions, electrochemical cells, standard electrode potentials, Nernst equation, electrolysis, Faraday's laws, batteries, and corrosion prevention methods.

Rate of reactions, rate laws, order and molecularity, activation energy, Arrhenius equation, collision theory, and factors affecting reaction rates.