RUET Admission Test 5h 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.

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.

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.