Units and Measurements
SI units, fundamental and derived units, Significant figures and rounding off, Dimensions of physical quantities and dimensional analysis...
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SI units, fundamental and derived units, Significant figures and rounding off, Dimensions of physical quantities and dimensional analysis...
Frame of reference, distance and displacement, Average speed, instantaneous velocity, acceleration, Kinematic equations for uniformly accelerated motion (v=u+at, s=ut+1/2at^2, v^2=u^2+2as)...
Scalar and vector quantities, vector addition, subtraction, dot product, cross product, Unit vectors and resolution of vectors in 2D, Projectile motion (Time of flight, Maximum height, Horizontal range, Equation of trajectory)...
Intuitive concept of force, inertia, Newton's first law of motion, Momentum and Newton's second law of motion (F=ma), Impulse-momentum theorem...
Work done by a constant force and a variable force, Kinetic energy, Work-Energy Theorem, Potential energy, conservative and non-conservative forces...
Centre of mass of a two-particle system and rigid body, Momentum conservation and centre of mass motion, Torque and angular momentum, conservation of angular momentum...
Kepler's laws of planetary motion, Universal law of gravitation, gravitational constant G, Acceleration due to gravity (g) and its variation with altitude, depth, and rotation...
Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, shear modulus of rigidity, Poisson's ratio, elastic energy stored in a stretched wire...
Pressure in a fluid, Pascal's law and hydraulic lift, Variation of pressure with depth, atmospheric pressure, Viscosity, Stokes' law, terminal velocity, Streamline and turbulent flow...
Heat and temperature, thermal expansion of solids, liquids, and gases, Specific heat capacity, calorimetry, latent heat, Heat transfer: Conduction, Convection, and Radiation...
Thermal equilibrium and Zeroth law of thermodynamics, First law of thermodynamics, internal energy, work done in isothermal and adiabatic processes, Second law of thermodynamics, reversible and irreversible processes...
Equation of state of a perfect gas, ideal gas law, Postulates of kinetic theory of gases, RMS speed, average speed, most probable speed, Degrees of freedom, law of equipartition of energy...
Periodic motion, period, frequency, Simple Harmonic Motion (SHM), Displacement, velocity, and acceleration in SHM, Energy in SHM (kinetic and potential energy)...
Transverse and longitudinal waves, speed of wave motion, Displacement relation for a progressive wave, Principle of superposition of waves, reflection of waves...
General introduction, importance of chemistry, Atomic and molecular masses, mole concept and molar mass, Percentage composition, empirical and molecular formula...
Bohr's model and its limitations, Dual nature of matter and light, de Broglie's relationship, Heisenberg uncertainty principle...
Modern periodic law and present form of periodic table, Periodic trends in properties of elements: atomic radii, ionic radii, inert gas radii, Ionization enthalpy, electron gain enthalpy, electronegativity, valency...
Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond, dipole moment, Valence Shell Electron Pair Repulsion (VSEPR) theory...
Concepts of system, surroundings, work, heat, internal energy, enthalpy, First law of thermodynamics, heat capacity and specific heat, Measurement of ΔU and ΔH, Hess's law of constant heat summation...
Dynamic nature of equilibrium, law of mass action, equilibrium constant (Kc and Kp), Le Chatelier's principle and its applications, Ionic equilibrium: ionization of acids and bases, strong and weak electrolytes...
Concept of oxidation and reduction, redox reactions, Oxidation number rules, balancing redox reactions (oxidation number method and ion-electron method), Applications of redox reactions...
General introduction, classification and IUPAC nomenclature of organic compounds, Electronic displacements in a covalent bond: Inductive effect, Electromeric effect, Resonance/Mesomeric effect, Hyperconjugation, Homolytic and heterolytic fission, free radicals, carbocations, carbanions, electrophiles and nucleophiles...
Alkanes: Nomenclature, isomerism, conformation (Ethane sawhorse and Newman projections), physical and chemical properties, Alkenes: Nomenclature, structure of double bond, geometrical isomerism (cis-trans), addition of H2, X2, H2O, HX (Markovnikov's and Anti-Markovnikov's rule), ozonolysis, oxidation, Alkynes: Nomenclature, structure of triple bond, acidic character of alkynes, addition reactions...
Sets and their representations (Roster and Set-builder form), Empty set, finite and infinite sets, equal sets, subsets, power set, universal set, Venn diagrams, set operations (Union, Intersection, Difference, Complement)...
Ordered pairs, Cartesian product of two sets, Domain, co-domain, and range of a relation, Function as a special relation, pictorial representation of functions...
Positive and negative angles, measuring angles in radians and degrees, conversion, Trigonometric functions definition using unit circle, domain and range, signs in quadrants, Graphs of trigonometric functions...
Need for complex numbers, square root of -1 (i), Algebraic properties of complex numbers (addition, multiplication, conjugate, modulus), Argand plane and polar representation of a complex number...
Linear inequalities in one variable and two variables, Algebraic solutions of linear inequalities in one variable and graphical representation, Graphical solution of system of linear inequalities in two variables...
Fundamental principle of counting (addition and multiplication principles), Factorial notation (n!), Permutations (nPr): derivation and applications...
Historical background, statement and proof of Binomial Theorem for positive integral index, Pascal's triangle, general term and middle term in binomial expansion, Properties of binomial coefficients...
Sequence and Series, Arithmetic Progression (AP), arithmetic mean (AM), Geometric Progression (GP), general term, sum of n terms of GP, geometric mean (GM), Relation between AM and GM...
Slope of a line, angle between two lines, condition for parallel and perpendicular lines, Various forms of equations of a line: slope-intercept, point-slope, two-point, intercept, normal form, General equation of a line, distance of a point from a line, distance between parallel lines...
Sections of a cone: Circle, Parabola, Ellipse, Hyperbola, Standard equations and properties of Circle (center and radius), Standard equations and properties of Parabola (focus, directrix, axis, latus rectum)...
Coordinate axes and coordinate planes in 3D space, Coordinates of a point in space, Distance formula between two points in 3D...
Intuitive idea of limit, left hand and right hand limits, Standard limits: lim (x^n - a^n)/(x - a), lim sin(x)/x, lim (e^x - 1)/x, Derivative of a function, derivative as rate of change, slope of tangent...
Measures of dispersion: Range, Mean deviation, Variance, Standard deviation for ungrouped and grouped data, Analysis of frequency distributions with equal means but different variances...
Random experiments, sample space, events (impossible, certain, mutually exclusive, exhaustive), Axiomatic definition of probability, addition theorem of probability...
What is living? Biodiversity, Need for classification, Taxonomy and Systematics, Concept of species and taxonomic hierarchy, Binomial Nomenclature (rules and conventions)...
Five kingdom classification (Whittaker): Monera, Protista, Fungi, Plantae, Animalia, Salient features and classification of Monera, Protista, and Fungi, Lichens, Viruses, Viroids, and Prions...
Salient features and classification of plants into major groups: Algae, Bryophytes, Pteridophytes, Gymnosperms, Angiosperms, Alternation of generations (Haplontic, Diplontic, Haplo-diplontic life cycles)...
Salient features and classification of animals (non-chordates up to phyla level, chordates up to classes level), Basis of classification: levels of organisation, symmetry, diploblastic/triploblastic, coelom, segmentation, notochord...
Morphology and modifications of root, stem, and leaf, Inflorescence (racemose and cymose), Flower structure (calyx, corolla, androecium, gynoecium), Fruit and Seed, Description of family Solanaceae / Fabaceae / Liliaceae...
Meristematic and permanent tissues (simple and complex), Tissue systems: Epidermal, Ground, and Vascular tissue systems, Anatomy of dicotyledonous and monocotyledonous root, stem, and leaf...
Animal tissues: Epithelial, Connective, Muscular, and Neural tissues, Morphology, anatomy, and functions of digestive, circulatory, respiratory, nervous, and reproductive systems of Cockroach...
Cell theory and cell as basic unit of life, Prokaryotic vs Eukaryotic cell structure, Plant cell vs Animal cell, Cell envelope, cell membrane (Fluid Mosaic Model), cell wall...
Chemical constituents of living cells: Biomolecules (Carbohydrates, Proteins, Lipids, Nucleic acids), Structure and function of Proteins (primary, secondary, tertiary, quaternary), Enzymes: types, properties, enzyme action, factors affecting enzyme activity, competitive inhibition...
Cell cycle phases: Interphase (G1, S, G2) and M phase, Mitosis: Karyokinesis phases (Prophase, Metaphase, Anaphase, Telophase), Cytokinesis, Significance of mitosis, Meiosis: Meiosis I and Meiosis II, Crossing over, Synapsis, Chiasmata, Significance of meiosis...
Photosynthesis as a means of autotrophic nutrition, site of photosynthesis (chloroplast), Pigments involved (chlorophyll a, b, carotenoids), Light reaction: Electron transport chain, Photophosphorylation (cyclic and non-cyclic), Chemiosmotic hypothesis...
Exchange of gases, Cellular respiration, Glycolysis (EMP pathway), Fermentation (lactic acid and alcoholic), Aerobic respiration: TCA cycle (Krebs cycle), Electron transport system (ETS) and oxidative phosphorylation...
Phases of plant growth, growth rate (arithmetic and geometric), Conditions for growth, Differentiation, Dedifferentiation, Redifferentiation, Plant Growth Regulators (PGRs): Auxins, Gibberellins, Cytokinins, Ethylene, Abscisic acid (ABA)...
Respiratory organs in animals, Human respiratory system, Mechanism of breathing and its regulation in humans (inspiration, expiration, respiratory volumes and capacities), Exchange of gases (partial pressures), Transport of gases (O2 transport and Oxygen-Hemoglobin dissociation curve, CO2 transport)...
Composition of blood, blood groups (ABO and Rh factor), Coagulation of blood, Lymph, Human circulatory system: Structure of human heart and blood vessels, Cardiac cycle, Cardiac output, Electrocardiogram (ECG)...
Modes of excretion: Ammonotelism, Ureotelism, Uricotelism, Human excretory system: Structure of kidney, Nephron (Glomerulus, PCT, Loop of Henle, DCT, Collecting duct), Urine formation: Glomerular filtration, Reabsorption, Secretion...
Types of movement: Amoeboid, Ciliary, Flagellar, Muscular, Skeletal muscle structure, Myofibrils, Sarcomere, Actin and Myosin filaments, Sliding filament theory of muscle contraction...
Neuron as structural and functional unit of nervous system, Types of neurons, Conduction and transmission of nerve impulse along axon and across synapse, Central nervous system: Brain structure (Forebrain, Midbrain, Hindbrain) and Spinal cord...
Endocrine glands and hormones, Human endocrine system: Pituitary, Pineal, Thyroid, Parathyroid, Adrenal, Pancreas, Gonads (Testis and Ovary), Hormones of heart, kidney, and gastrointestinal tract...