Common to All Branches
Mathematics
* Linear Algebra: Systems of linear equations, matrix algebra, determinants, vector spaces, subspaces, linear independence, basis, dimension, rank-nullity theorem.
* Calculus: Functions, limits, derivatives, integrals, applications of derivatives and integrals.
* Differential Equations: First-order differential equations, linear differential equations of higher order, Laplace transforms.
Physics
* Mechanics: Laws of motion, work and energy, conservation laws, rotational motion, gravitation.
* Thermodynamics: Laws of thermodynamics, heat engines, entropy.
* Optics: Geometrical optics, wave optics, interference, diffraction, polarization.
Chemistry
* Atomic Structure: Atomic theory, electronic configuration, periodic properties.
* Chemical Bonding: Ionic bonding, covalent bonding, metallic bonding, hydrogen bonding.
* States of Matter: Solids, liquids, gases, phase transitions.
* Solutions: Colligative properties, solubility, electrolytes.
* Chemical Reactions: Stoichiometry, kinetics, equilibrium.
English
* Communication Skills: Reading, writing, listening, speaking.
* Grammar and Usage: Parts of speech, sentence structure, punctuation.
* Vocabulary Building: Synonyms, antonyms, homonyms, idioms, phrasal verbs.
Computer Science
* Introduction to Computing: Computer systems, hardware, software, operating systems.
* Programming Fundamentals: Data types, operators, control structures, functions, arrays, strings.
SEMESTER II
Mathematics
* Calculus: Sequences and series, convergence and divergence, power series, Taylor series.
* Differential Equations: Systems of differential equations, Laplace transforms, Fourier series.
* Probability and Statistics: Probability theory, random variables, probability distributions, sampling, estimation, hypothesis testing.
Physics
* Electromagnetism: Electric fields, Gauss's law, electric potential, capacitors, magnetic fields, Biot-Savart law, Ampere's law, Faraday's law, Lenz's law.
* Modern Physics: Atomic physics, nuclear physics, particle physics.
* Electronics: Semiconductor devices, diodes, transistors, amplifiers, oscillators.
Chemistry
* Organic Chemistry: Hydrocarbons, alcohols, ethers, aldehydes, ketones, carboxylic acids, esters, amides.
* Inorganic Chemistry: Coordination compounds, organometallic compounds, bioinorganic chemistry.
* Physical Chemistry: Chemical thermodynamics, chemical kinetics, electrochemistry.
English
* Technical Writing: Technical reports, proposals, presentations, emails.
* Business Communication: Communication in the workplace, interpersonal skills, conflict resolution.
* Literature: Reading and analysis of literary texts.
Computer Science
* Data Structures: Arrays, linked lists, stacks, queues, trees, graphs.
* Algorithms: Sorting, searching, hashing, divide-and-conquer, greedy algorithms, dynamic programming.