EMU Entrance (Ethiopia) 2-Month Plan

Real numbers, algebraic expressions, linear and quadratic equations, logarithms, inequalities, progressions (AP, GP), and the binomial theorem — core EUEE quantitative topics.

Limits and continuity, derivative rules (power, product, quotient, chain), implicit differentiation, higher-order derivatives, and applications (tangents, rates of change, optimization).

Domain and range, inverse functions, composite functions, polynomial and rational functions, exponential and logarithmic functions, and graphing techniques.

Trigonometric ratios and identities, inverse trigonometry, solving trig equations, and applications to geometry — frequently combined with calculus problems.

Indefinite and definite integrals, integration techniques (substitution, by parts), areas under curves, and applications of integration in physics and geometry contexts.

Plane geometry theorems, coordinate geometry (lines, circles, conic sections), distance and section formulas, and transformation geometry.

Combinatorics (permutations and combinations), probability of simple and compound events, conditional probability, Bayes' theorem, and basic statistical measures.

Vector operations in 2D and 3D, scalar and vector products, matrix operations, determinants, solving systems of linear equations, and applications.

Motion in one and two dimensions, Newton's laws, friction, circular motion, work-energy theorem, and momentum conservation. Core EUEE physics topic with frequent numerical problems.

Coulomb's law, electric fields and potential, capacitors, DC circuits, Kirchhoff's laws, magnetic fields, electromagnetic induction, and AC circuits. Highest-weight EUEE physics topic.

Simple harmonic motion, wave properties (amplitude, frequency, wavelength, speed), wave equations, superposition, standing waves, and sound waves.

Heat transfer, specific heat capacity, latent heat, first and second laws of thermodynamics, heat engines, and entropy concepts.

Reflection and refraction, lenses and mirrors, optical instruments, wave optics (interference, diffraction), and the human eye as an optical system.

Photoelectric effect, Bohr model of the atom, energy levels, radioactivity (alpha, beta, gamma decay), half-life, nuclear fission and fusion, and fundamental particles.

Pressure, Pascal's principle, Archimedes' principle, Bernoulli's equation, viscosity, and surface tension — concept-based and application-oriented problems.