Syllabus for Module 3 JEE Main & Advanced

Physics

Module 3
Descriptions

12. Properties Of Solids And Liquids

Heat: Heat, temperature, thermal expansion;

13. Properties Of Solids And Liquids

Calorimetry: Specific heat capacity, calorimetry; change of state, latent heat. Heat transfer-conduction, convection, and radiation.
14. Thermodynamics: Thermal equilibrium, zeroth law of thermodynamics, the concept of temperature. Heat, work, and internal energy. The first law of thermodynamics, isothermal and adiabatic processes. The second law of thermodynamics: reversible and irreversible processes.
15. Kinetic Theory Of Gases: Equation of state of a perfect gas, work done on compressing a gas, kinetic theory of gases - assumptions, the concept of pressure, kinetic interpretation of temperature, rms speed of gas molecules: degrees of freedom. Law of equipartition of energy, applications to specific heat capacities of gases; mean free path. Avogadro's number.
16. Oscillations & Waves: Periodic motion - period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (s.h.m.) and its equation; phase: oscillations of a spring -restoring force and force constant: energy in s.h.m. - kinetic and potential energies; simple pendulum - derivation of expression for its time period:
17. Oscillations And Waves
Wave Motion: Periodic motion - period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (s.h.m.) and its equation; phase: oscillations of a spring -restoring force and force constant: energy in s.h.m. - kinetic and potential energies; simple pendulum - derivation of expression for its time period:


Chemistry

Module 3

14. Organic Chemistry -Some Basic Principles and Technique: Tetravalency of carbon: Shapes of simple molecules - hybridization (s and p): Classification of organic compounds based on functional groups: and those containing halogens, oxygen, nitrogen, and sulphur; Homologous series: Isomerism - structural and stereoisomerism.

Nomenclature (Trivial and IUPAC): Covalent bond fission - Homolytic and heterolytic: free radicals, carbocations, and carbanions; stability of carbocations and free radicals, electrophiles, and nucleophiles.

Electronic displacement in a covalent bond: -Inductive effect, electromeric effect, resonance, and hyperconjugation.

Common types of organic reactions-  Substitution, addition, elimination, and rearrangement.

15. Hydrocarbons: Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties, and reactions.

Alkanes - Conformations: Sawhorse and Newman projections (of ethane): Mechanism of halogenation of alkanes.

Alkenes - Geometrical isomerism: Mechanism of electrophilic addition: addition of hydrogen, halogens, water, hydrogen halides (Markownikoffs and peroxide effect): Ozonolysis and polymerization. 

Alkynes - Acidic character: Addition of hydrogen, halogens, water, and hydrogen halides: Polymerization. 
16. Aromatic Hydrocarbons: 

Nomenclature, benzene - structure and aromaticity: Mechanism of electrophilic substitution: halogenation, nitration.

Friedel - Craft's alkylation and acylation, directive influence of the functional group in mono-substituted benzene.
17. Environmental Chemistry: 

Environmental pollution - Atmospheric, water, and soil.

Atmospheric pollution - Tropospheric and Stratospheric

Tropospheric pollutants - Gaseous pollutants: Oxides of carbon, nitrogen, and sulphur, hydrocarbons; their sources, harmful effects, and prevention; Greenhouse effect and Global warming: Acid rain; 


Particulate pollutants: Smoke, dust, smog, fumes, mist; their sources, harmful effects, and prevention. 
Stratospheric pollution- Formation and breakdown of ozone, depletion of the ozone layer - its mechanism and effects.

Water Pollution - Major pollutants such as. pathogens, organic wastes, and chemical pollutants; their harmful effects and prevention.

Soil pollution - Major pollutants such as; Pesticides (insecticides. herbicides and fungicides), their harmful effects, and prevention. Strategies to control environmental pollution.

 

Mathematics

Module 3
Descriptions
15. Introduction To Three Dimensional Geometry: Coordinates of a point in space. Distance between two points and section formula. directions ratios, and direction cosines, and the angle between two intersecting lines. Skew lines, the shortest distance between them, and its equation.

16. Limits & Continuity: Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. Graphs of simple functions. Limits, continuity.
17. Differentiation, Continuity, & Differentiability: Differentiation of the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable.

18. Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate.