ECAT (Engineering College Admission Test) 6-Month Plan

Describing motion using displacement, velocity, acceleration equations, and interpreting motion graphs.

Applying Newton's three laws to solve problems involving forces, friction, tension, and acceleration.

Understanding Coulomb's law, electric fields, electric potential, and field lines around charges.

Applying Ohm's law, Kirchhoff's laws, analysing complex circuits, and understanding emf and internal resistance.

Applying laws of reflection and refraction, lens and mirror formulas, and image formation in optical devices.

Calculating work, kinetic and potential energy, power, and understanding energy conversion and conservation.

Studying centripetal force, angular velocity, orbital motion, and Newton's law of gravitation.

Studying simple harmonic motion of pendulums and springs, period, frequency, and energy in oscillating systems.

Studying ionic, covalent, and metallic bonding, VSEPR theory, hybridisation, and intermolecular forces.

Writing balanced equations, performing mole calculations, and solving quantitative stoichiometric problems.

Understanding electron configuration, quantum numbers, orbital shapes, and periodic trends in element properties.

Calculating enthalpy changes, understanding Hess's law, bond energies, and energy profile diagrams.

Understanding reversible reactions, equilibrium constants (Kp and Kc), and Le Chatelier's principle applications.

Understanding acid-base theories, pH calculations, buffer solutions, hydrolysis, and indicators.

Understanding electrochemical cells, standard electrode potentials, electrolysis, and their industrial applications.

Learning IUPAC naming conventions, functional groups, isomerism, and structural representation.

Using trigonometric identities to simplify expressions and solving trigonometric equations within given intervals.

Differentiating polynomial, trigonometric, exponential, and logarithmic functions and applying derivatives to practical problems.

Integrating functions, evaluating definite integrals, and finding areas under curves using integration.

Solving quadratic equations by various methods and solving inequalities involving quadratic expressions.

Finding nth terms and sums of arithmetic progressions and solving AP-related word problems.

Understanding GP terms and sums, and applying the binomial theorem for positive integer indices.

Applying sine rule, cosine rule, and area of triangle formulas to solve non-right-angled triangle problems.

Finding equations of lines, distances, midpoints, angles between lines, and point-to-line distance formulas.

Reading passages critically to answer literal, inferential, and evaluative questions with accuracy and speed.

Expanding vocabulary through root words, prefixes, suffixes, and using new words correctly in context.

Identifying and correctly using nouns, pronouns, verbs, adjectives, adverbs, prepositions, and conjunctions.

Building grammatically correct sentences, avoiding fragments and run-ons, and varying sentence patterns.

Using all tenses accurately in simple, continuous, perfect, and perfect continuous forms in context.

Identifying grammatical errors in sentences including subject-verb agreement, tense consistency, and word choice.

Choosing the correct words to complete sentences using grammatical, contextual, and collocation cues.

Identifying words with similar and opposite meanings to improve language precision and reading comprehension.