The Best CUET Maths + Chemistry + Biology + Physics Handwritten Notes

Types of relations, Equivalence relation, One-one and onto functions, Composition, Binary operations.

Domain and range table, Principal and general values, Properties, Sum and difference formulas.

Types of matrices, Transpose, Symmetric and skew-symmetric, Matrix operations, Elementary operations.

Order 1, 2 and 3, Properties, Area of a triangle, Minors and cofactors, Adjoint, Solving equations by inverse.

Continuity theorems, Differentiability, Chain rule, Logarithmic differentiation, Rolle's theorem.

Rate of change, Increasing and decreasing, Tangent and normal, Approximation, Maxima and minima.

Standard integrals, Substitution, Partial fractions, Integration by parts, Fundamental theorem, Definite integral properties.

Area under a curve, Area between two curves, Important sums.

Order and degree, Linear and non-linear, General and particular solution, Variable separable, First order linear.

Types of vectors, Section formula, Dot product, Cross product, Projection, Scalar triple product.

Direction cosines, Equation of a line, Angle between lines, Shortest distance, Equation of a plane, Angle between planes.

Formulation, Feasible region, Corner point method, Requirements of an LPP.

Conditional probability, Multiplication theorem, Independent events, Bayes' theorem, Random variable, Binomial distribution.

Mass and volume percentage, ppm, Mole fraction, Molarity and molality, Henry's law, Raoult's law.

EMF of a cell, Nernst equation, Molar conductivity, Kohlrausch's law, Faraday's laws, Gibbs energy.

Rate of reaction, Order, Integrated rate equations, Half life, Arrhenius equation, Collision theory.

Four transition series, Electronic configurations, Lanthanoids, Actinoids, Lanthanoids vs actinoids.

Nomenclature, Hybridisation, Isomerism, Stability constant, Colour of complexes.

Swarts, Sandmeyer, Finkelstein, Wurtz, Friedel-Crafts, Hunsdiecker.

Kolbe's reaction, Aspirin from salicylic acid, Williamson synthesis, Reimer-Tiemann.

Rosenmund, Stephen, Etard, Clemmensen, Wolff-Kishner, Cannizzaro.

Classification, Hoffmann bromamide, Gabriel phthalimide, Carbylamine, Diazo coupling, Schotten-Baumann.

Carbohydrates, Glucose and fructose, Amino acids, Nucleotides, Vitamins, Hormones and enzymes.

Flower and stamen, Anther and pollen grain, Ovule and embryo sac, Pollination, Double fertilisation, Seed and fruit.

Male and female systems, Gametogenesis, Menstrual cycle, Fertilisation and implantation, Pregnancy and lactation.

Reproductive health, Population growth, Birth control, MTP, STDs, Infertility and ARTs.

Mendel's laws, Monohybrid cross, Incomplete dominance, Dihybrid cross, Pedigree analysis, Sex determination.

DNA structure, Griffith and Hershey-Chase, Replication, Transcription, Genetic code, Lac operon.

Origin of life, Miller's experiment, Evidences of evolution, Natural selection, Adaptive radiation, Human evolution.

Health and disease, Immunity, Allergy, Common diseases table, AIDS, Cancer.

Household products, Industrial products, Antibiotics, Sewage treatment, Biogas, Biofertilisers.

Restriction enzymes, Cloning vectors, Steps of rDNA technology, PCR, Bioreactors, Downstream processing.

Bt cotton, RNA interference, Genetically engineered insulin, Gene therapy, Transgenic animals, Biopatent and biopiracy.

Population attributes, Age pyramids, Population growth, Life history variations, Population interactions.

Ecosystem structure, Productivity, Decomposition, Energy flow, Food chain and food web, Ecological pyramids.

Genetic, species and ecological diversity, Latitudinal gradients, Species-area relationship, Alien species, In-situ and ex-situ conservation.

Coulomb's law, Electric field and flux, Dipole, Gauss's law, Potential, Capacitors.

Ohm's law, Resistivity, Drift velocity, Resistors in series and parallel, Kirchhoff's laws, Wheatstone bridge.

Biot-Savart law, Ampere's law, Solenoid and toroid, Lorentz force, Cyclotron, Bar magnet.

Magnetic flux, Induced EMF, Self and mutual inductance, AC voltage, LCR resonance, Transformer.

Displacement current, Maxwell's equations, Energy density of EM waves.

Mirror formula, Snell's law, Lens formula, Prism, Microscope and telescope, Young's double slit.

Photoelectric equation, Threshold frequency, Photon energy and momentum, de Broglie wavelength, Uncertainty principle.

Bohr model, Hydrogen spectral series, Binding energy, Radioactive decay law, Half life, Alpha and beta decay.

Energy band gap, Zener diode, Transistor gain, Logic gates.

Transmission from a tower, Amplitude modulation, Side bands and power, Frequency modulation, Block diagrams.