IOE Entrance (Nepal) 1-Year Plan

Linear and quadratic equations, polynomials, logarithms, sequences and series (AP, GP), permutations and combinations, binomial theorem, and inequalities — core Nepal engineering entrance math.

Limits, continuity, derivatives of algebraic and transcendental functions, chain rule, implicit differentiation, applications (tangents, normals, maxima/minima, rate problems).

Indefinite and definite integrals, integration by parts, by substitution, partial fractions, area under curves, and differential equations (first order, separable).

Trigonometric ratios, identities, equations, inverse trig, heights and distances, and applications of trigonometry in geometry and physics contexts.

Cartesian coordinates, straight lines, circles, ellipses, parabolas, hyperbolas, and conic sections — frequently combined with calculus in IOE entrance problems.

Vector operations, scalar and cross products, 3D coordinate geometry, lines and planes in space, and direction cosines/ratios.

Newton's laws, friction, projectile motion, work-energy theorem, conservation of momentum, equilibrium conditions, and center of mass — frequently tested in IOE entrance physics but overlaps with mathematics.

Permutations and combinations, probability of events, Bayes' theorem, binomial distribution, mean, median, mode, and standard deviation.

Motion in one and two dimensions, Newton's laws, friction, circular motion, momentum conservation, and collisions — highest-weight CMAT physics topic.

Electrostatics, Coulomb's law, electric circuits, Ohm's law, Kirchhoff's laws, magnetic effects of current, electromagnetic induction, and AC/DC circuits — heaviest CMAT physics topic.

Work done by forces, kinetic and potential energy, conservation of mechanical energy, power, and applications to real-world scenarios.

Heat transfer, calorimetry, specific and latent heat, kinetic theory of gases, first and second laws of thermodynamics, and heat engines.

Wave equation, superposition, standing waves, sound, Doppler effect, reflection, refraction, lenses, mirrors, and introductory wave optics.

Photoelectric effect, Bohr model, energy levels, radioactivity, semiconductor basics, logic gates, and digital electronics — growing importance in CMAT and management entrance exams.

Fluid pressure, Pascal's principle, Archimedes' principle, Bernoulli's equation, surface tension, viscosity, and elastic properties of solids.