unipolaris academy provides good quality, interactive and personalized online tuition for ISC Class 12 for Maths and Science(Physics, Chemistry, Biology) subjects. At unipolaris academy, we offer comprehensive ISC online tuition for Class 12, designed to help students grasp key concepts with clarity and confidence.
Benefits in Online Tuition for ISC Class 12
We enrol qualified and experienced ISC Class 12 Online Tuition Tutors with pen tablet. The tutors have good command over subjects and have fluent communication skills
One to one teacher to student ratio ensures personal attention to the student
Regular Assignments are given and their evaluation is done timely
Questions complementing school curriculum are given for practice and solved along with students
Regular Doubts Resolution – Doubts of the students are cleared before moving on to the next concepts
Recording after the live class is provided in a folder for revision purpose so that student can go through concepts again if they are not able to understand in the live class
Focus is on clearing the basics of the student as once the basics are cleared they can build upon the basics to solve higher order problems
Personal Attention to the Student for focused learning – Personal attention is given to the student as teacher asks questions regularly during the live class thus enabling the teacher to understand the comprehension level of the student
Free Live Demo offered before Parent and student decides to go for regular classes
Subjects Offered in Online Tuition for ISC Class 12
Maths
The Mathematics syllabus is structured into three sections: Section A is compulsory for all students, while students can choose to attempt questions from either Section B or Section C.
Section A (Compulsory)
- Relations and Functions
- Types of Relations: Reflexive, symmetric, transitive, and equivalence relations.
- Functions: One-to-one (injective), onto (surjective), composite functions, and invertible functions.
- Inverse Trigonometric Functions: Definition, domain, range, principal value branches, graphs, and elementary properties of inverse trigonometric functions.
- Algebra
- Matrices: Concept, notation, order, equality, types (zero, identity, transpose, symmetric, and skew-symmetric matrices), operations (addition, scalar multiplication, and matrix multiplication), non-commutativity, and invertible matrices.
- Determinants: Properties of determinants (up to $3 \times 3$), minors, cofactors, applications in finding the area of a triangle, adjoint and inverse of a square matrix, consistency/inconsistency, and solving systems of linear equations using the matrix method (Martin’s Rule).
- Calculus
- Continuity and Differentiability: Continuity, differentiability, chain rule, derivatives of implicit, exponential, logarithmic, and inverse trigonometric functions, second-order derivatives, and Mean Value Theorems (Rolle’s and Lagrange’s).
- Applications of Derivatives: Rate of change of quantities, increasing/decreasing functions, tangents and normals, approximations, and maxima/minima (local, absolute, first and second derivative tests).
- Integrals: Indefinite and definite integration using substitution, partial fractions, and integration by parts; fundamental properties and evaluation of definite integrals.
- Differential Equations: Definition, order, degree, formation of differential equations, and methods of solving first-order, first-degree differential equations (variable separable, homogeneous, and linear differential equations)
- Probability
- Conditional probability, multiplication theorem, independent events, total probability theorem, Bayes’ Theorem, random variables and their probability distributions, mean and variance of a discrete random variable, Bernoulli trials, and binomial distribution.
Section B
- Vectors: Vectors and scalars, magnitude and direction, direction cosines/ratios, types of vectors (equal, unit, zero, position, negative, parallel, collinear), components of a vector, addition, scalar multiplication, dot (scalar) product, cross (vector) product, and scalar triple product.
- Three-Dimensional Geometry: Direction cosines and direction ratios of a line joining two points, vector and Cartesian equations of lines and planes, coplanar and skew lines, shortest distance between two lines, angle between two lines/planes/line and a plane, and distance of a point from a plane.
- Applications of Integrals: Area under simple curves, area between two curves, and regions bounded by lines and coordinate axes.
Section C
- Application of Calculus (Commerce-focused): Total cost, revenue, and profit functions; marginal cost (MC) and marginal revenue (MR); breakeven point; profit maximization and cost minimization using calculus concepts.
- Linear Regression: Lines of regression, scatter diagrams, method of least squares, regression coefficients and their properties, correlation coefficient, and rank correlation.
- Linear Programming: Introduction to constraints, objective functions, formulating linear programming problems (LPP), and solving via the graphical method (identifying feasible/infeasible regions, bounded/unbounded solutions, and optimal feasible solutions).
Physics
Unit 1: Electrostatics
Coulomb’s Law, principle of superposition, electric field, electric field lines, electric dipole, and torque on a dipole.
Electric flux and Gauss’s Law with its applications (infinitely long straight wire, uniformly charged infinite plane sheet, uniformly charged thin spherical shell).
Electric potential, potential difference, potential energy of a system of charges, equipotential surfaces, and the relation between electric field and potential.
Capacitors and capacitance, combination of capacitors (series and parallel), dielectrics and polarization, energy stored in a capacitor.
Unit 2: Current Electricity
Electric current, drift velocity, mobility, and their relation with electric current; Ohm’s Law, electrical resistance, V-I characteristics, electrical energy, and power.
Resistivity, conductivity, temperature dependence of resistance, and internal resistance of a cell, potential difference, and EMF of a cell.
Kirchhoff’s Laws and their applications to simple circuits.
Wheatstone Bridge and Potentiometer (principles, comparing EMF of two cells, and measuring internal resistance).
Unit 3: Magnetic Effects of Current and Magnetism
Biot-Savart Law and its application to a current-carrying circular loop; Ampere’s Circuital Law and its applications to infinitely long straight wires and solenoids.
Force on a moving charge in uniform magnetic and electric fields (Lorentz force); Cyclotron principle.
Force on a current-carrying conductor in a uniform magnetic field, force between two parallel current-carrying conductors, definition of an ampere, torque on a current loop, and the Moving Coil Galvanometer (conversion to ammeter and voltmeter).
Magnetic field lines, earth’s magnetic elements, and magnetic properties of materials (diamagnetic, paramagnetic, ferromagnetic substances with examples).
Unit 4: Electromagnetic Induction and Alternating Currents
Faraday’s laws of electromagnetic induction, Lenz’s Law, induced EMF and current, eddy currents, self-induction, and mutual induction.
Alternating Current (AC) fundamentals, peak and RMS values of AC current/voltage, reactance, and impedance.
LCR series circuit, phasor diagrams, resonance, quality factor, power in AC circuits, power factor, and wattless current.
AC generator and transformer principles, working, and energy losses.
Unit 5: Electromagnetic Waves
Displacement current, Maxwell’s equations (qualitative idea), and basic characteristics of electromagnetic waves.
The Electromagnetic Spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including their production, properties, and applications.
Unit 6: Optics
Ray Optics: Reflection at spherical mirrors (mirror formula), refraction at spherical surfaces, lenses, thin lens formula, lens maker’s formula, magnification, power of a lens, combination of thin lenses, total internal reflection and its applications (optical fibers), refraction through a prism (deviation, dispersion), and optical instruments (human eye, microscopes, astronomical telescopes).
Wave Optics: Wavefronts, Huygens’ Principle and its application to reflection and refraction, coherent sources, interference of light, Young’s double-slit experiment, expression for fringe width, diffraction due to a single slit, central maximum width, and polarization (plane-polarized light, Brewster’s Law, polaroids).
Unit 7: Dual Nature of Radiation and Matter
Photoelectric effect, Hertz and Lenard’s observations, Einstein’s photoelectric equation, particle nature of light, and photons.
Matter waves, wave nature of particles, de Broglie relation, and the Davisson-Germer experiment (qualitative conclusion).
Unit 8: Atoms and Nuclei
Alpha-particle scattering experiment, Rutherford’s atomic model, Bohr’s atomic model, energy levels, and the hydrogen spectrum.
Composition and size of nucleus, atomic masses, radioactivity (alpha, beta, gamma particles/rays and their properties), radioactive decay law, half-life, mean life, mass defect, binding energy per nucleon, nuclear fission, and nuclear fusion.
Unit 9: Electronic Devices
Energy bands in solids (conductors, semiconductors, and insulators classification).
Intrinsic and extrinsic semiconductors ($n$-type and $p$-type), $p\text{-}n$ junction diode, I-V characteristics in forward and reverse bias, diode as a rectifier (half-wave and full-wave), Zener diode as a voltage regulator, and digital logic gates (OR, AND, NOT, NAND, NOR).
Unit 10: Communication Systems
Elements of a communication system (block diagram), bandwidth of signals and transmission medium, propagation of electromagnetic waves (ground, sky, and space waves), modulation and its necessity, amplitude modulation (AM) and frequency modulation (FM), and elementary ideas of internet, mobile telephony, and GPS.
Chemistry
Section A: Physical Chemistry
- Solutions
- Types of solutions, expression of concentration of solutions of solids in liquids (molarity, molality, mole fraction, ppm).
- Solubility of gases in liquids (Henry’s Law), Raoult’s Law for volatile and non-volatile solutes, ideal and non-ideal solutions, and azeotropic mixtures.
- Colligative properties: Relative lowering of vapour pressure, elevation of boiling point, depression of freezing point, and osmotic pressure; determination of molecular mass using colligative properties.
- Abnormal molecular mass, van ‘t Hoff factor, degree of dissociation, and association with related numerical problems.
- Electrochemistry
- Redox reactions, conductance in electrolytic solutions, specific and molar conductivity, variations of conductivity with concentration, and Kohlrausch’s Law.
- Electrolytic cells and Galvanic cells, EMF of a cell, standard electrode potential, Nernst equation and its applications, and the relationship between cell potential and Gibbs energy change.
- Faraday’s Laws of electrolysis, dry cell, electrolytic cells, lead accumulator, fuel cells, and the mechanism of corrosion.
- Chemical Kinetics
- Rate of a reaction (average and instantaneous), factors affecting rates (concentration, temperature, catalyst).
- Rate law, specific rate constant, order and molecularity of a reaction.
- Integrated rate equations and half-life (restricted to zero and first-order reactions).
- Concept of collision theory (elementary idea, no mathematical treatment), activation energy, and the Arrhenius equation.
Section B: Inorganic Chemistry
d- and f-Block Elements
- General introduction, electronic configuration, occurrence, and characteristics of transition metals.
- General trends in properties of the 3d-series: Metallic character, ionization enthalpy, oxidation states, ionic radii, color, catalytic properties, magnetic properties, interstitial compounds, and alloy formation.
- Preparation, structures, and chemical properties of $KMnO_4$ and $K_2Cr_2O_7$.
- Lanthanoids: Electronic configuration, oxidation states, chemical reactivity, and lanthanoid contraction with its consequences.
- Actinoids: Electronic configuration, oxidation states, and comparison with lanthanoids.
Coordination Compounds
- Introduction, ligands, coordination number, color, magnetic properties, shapes, and IUPAC nomenclature of mononuclear coordination compounds.
- Isomerism (structural and stereoisomerism).
- Werner’s coordination theory, Valence Bond Theory (VBT), and Crystal Field Theory (CFT) (octahedral and tetrahedral splitting); importance of coordination compounds in qualitative analysis, extraction of metals, and biological systems.
Section C: Organic Chemistry
Haloalkanes and Haloarenes
- Haloalkanes: Nomenclature, nature of C–X bond, physical and chemical properties, mechanisms of nucleophilic substitution reactions
- Haloarenes: Nature of C–X bond, electrophilic substitution reactions, and the directive influence of halogens in monosubstituted compounds.
- Uses and environmental effects of dichloromethane, trichloromethane, tetrachromethane, iodoform, freons, and DDT.
Alcohols, Phenols, and Ethers
- Alcohols: Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only); identification of primary, secondary, and tertiary alcohols (Lucas test); mechanism of dehydration.
- Phenols: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electrophilic substitution reactions, Kolbe’s reaction, and Reimer-Tiemann reaction.
- Ethers: Nomenclature, methods of preparation (Williamson’s synthesis), physical and chemical properties, and uses.
Aldehydes, Ketones, and Carboxylic Acids
- Aldehydes and Ketones: Nomenclature, nature of carbonyl group, methods of preparation, physical and chemical properties, mechanism of nucleophilic addition, reactivity of $\alpha$-hydrogen in aldehydes, Aldol condensation, Cannizzaro reaction, and nucleophilic addition-elimination reactions.
- Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical and chemical properties, and reactions (salt formation, decarboxylation, Hell-Volhard-Zelinsky reaction).
Organic Compounds Containing Nitrogen (Amines)
- Amines: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, basic character of amines, and secondary/tertiary distinction tests.
- Aniline: Preparation, properties, and electrophilic substitution reactions.
- Cyanides and Isocyanides: Preparation and synthetic importance.
- Diazonium Salts: Preparation, chemical reactions, and importance in synthetic organic chemistry.
Biomolecules
- Carbohydrates: Classification (aldoses and ketoses), monosaccharides (glucose and fructose structure/reactions), oligosaccharides (sucrose, lactose, maltose), and polysaccharides (starch, cellulose, glycogen); importance.
- Proteins: Elementary idea of $\alpha$-amino acids, peptide bonds, polypeptides, proteins, primary/secondary/tertiary/quaternary structures (qualitative idea only), and denaturation of proteins; enzymes.
- Nucleic Acids: Chemical composition of DNA and RNA, double-helical structure of DNA.
- Vitamins: Classification (fat-soluble and water-soluble) and their deficiency diseases
Biology
Unit 1: Reproduction
- Sexual Reproduction in Flowering Plants: Flower structure, development of male and female gametophytes, pollination (types, agencies, and examples), outbreeding devices, pollen-pistil interaction, artificial hybridization, double fertilization, post-fertilization events (development of endosperm, embryo, seed, and fruit formation), special modes (apomixis, parthenocarpy, polyembryony), and seed dispersal significance.
- Human Reproduction: Male and female reproductive systems, microscopic anatomy of testis and ovary, gametogenesis (spermatogenesis and oogenesis), menstrual cycle, fertilization, embryonic development up to blastocyst formation, implantation, pregnancy, placenta formation, parturition, and lactation.
- Reproductive Health: Need for reproductive health and prevention of Sexually Transmitted Diseases (STDs), birth control (need and methods), contraception, Medical Termination of Pregnancy (MTP), amniocentesis, infertility, and assisted reproductive technologies (IVF, ZIFT, GIFT).
Unit 2: Genetics and Evolution
- Principles of Inheritance and Variation: Heredity and variation, Mendelian inheritance, deviations from Mendelism (incomplete dominance, co-dominance, multiple alleles, pleiotropy, polygenic inheritance), chromosomal theory of inheritance, sex determination (humans, birds, honey bees), linkage and crossing over, mutation, sex-linked inheritance (hemophilia, color blindness), and Mendelian/chromosomal disorders in humans (Down’s, Turner’s, Klinefelter’s syndromes, Thalassemia, Sickle cell anemia).
- Molecular Basis of Inheritance: Search for genetic material (Griffith’s, Hershey-Chase experiments), structure of DNA and RNA, DNA packaging, DNA replication, central dogma, transcription, genetic code, translation, regulation of gene expression (lac operon), Human Genome Project (HGP), and DNA fingerprinting.
- Evolution: Origin of life, biological evolution and evidences (paleontological, comparative anatomy, embryological, and molecular), Darwin’s contribution, modern synthetic theory of evolution, mechanisms of variation (mutation and recombination), natural selection with examples, gene flow, genetic drift, Hardy-Weinberg’s principle, adaptive radiation, and human evolution.
Unit 3: Biology and Human Welfare
- Human Health and Diseases: Pathogens and parasites causing human diseases (malaria, filariasis, ascariasis, typhoid, pneumonia, common cold, amoebiasis, ringworm) and their control; basic concepts of immunology (vaccines), cancer, HIV and AIDS; adolescence, drug, and alcohol abuse.
- Microbes in Human Welfare: Microbes in household food processing, industrial production, sewage treatment, energy generation (biogas), and microbes as biocontrol agents and biofertilizers; antibiotics production and uses.
Unit 4: Biotechnology and its Applications
- Biotechnology – Principles and Processes: Recombinant DNA technology (Genetic Engineering) tools including restriction enzymes, polymerases, ligases, vectors, and competent hosts; downstream processing.
- Biotechnology and its Applications: Applications in health and agriculture: human insulin and vaccine production, stem cell technology, gene therapy, genetically modified organisms (GMOs) like Bt crops (Bt cotton), transgenic animals, biosafety issues, biopiracy, and biopatents.
Unit 5: Ecology and Environment
- Organisms and Populations: Organisms and environment (habitat and niche), population attributes (growth, birth rate, death rate, age distribution), population growth models (exponential and logistic), and population interactions (mutualism, competition, predation, parasitism, commensalism, amensalism).
- Ecosystem: Ecosystem patterns, components, productivity, decomposition, energy flow, ecological pyramids (number, biomass, energy), and ecological succession (hydrarch and xerarch).
- Biodiversity and its Conservation: Concept, patterns, and importance of biodiversity; loss of biodiversity, extinctions, and conservation strategies (in-situ and ex-situ conservation including national parks, sanctuaries, biosphere reserves, and seed banks)
Testimonials
⭐ Testimonial 1: Cracking the Board Exam Pressure
- Name: Ishaan Malhotra (Student, Class 12 ISC, New Delhi)
- Feedback: “Class 12 Boards felt incredibly intimidating, especially with Physics Electromagnetism and Calculus. The 1-on-1 attention here made all the difference. My tutor tailored the pace to my learning speed, and practicing previous years’ question papers during the live sessions gave me the confidence to score 95% in my boards.”
⭐ Testimonial 2: Mastering Organic Chemistry Conversions
Name: Dr. Anjali Sen (Parent, Mumbai)
Feedback: “My son was struggling to keep up with ISC Class 12 Organic Chemistry conversions and Physical Chemistry numericals. unipolaris academy provided a brilliant tutor who simplified the mechanisms step-by-step. The continuous evaluations and detailed progress reports kept us fully aware of his growth. It completely transformed his final grades.”
⭐ Testimonial 3: Visualizing Complex Biology Concepts
Name: Sneha Fernandes (Student, Class 12 ISC, Goa)
Feedback: “ISC Class 12 Biology requires a genuine conceptual grasp of topics like Genetics and Biotechnology rather than just rote memorization. The interactive whiteboards used by my tutor made these intricate processes highly visual and easy to digest. The recorded sessions became my ultimate revision toolkit right before the board exams.”
⭐ Testimonial 4: Perfect Alignment with the ISC Blueprint
Name: Mr. Vikram Shah (Parent, London)
Feedback: “Living overseas, finding an online tuition platform that perfectly aligns with the rigorous, nuanced demands of the ISC Class 12 blueprint was tough. This academy delivered flawlessly. The personalized 1-on-1 classes ensured our daughter mastered the exact answer-writing techniques and marking schemes required by the council.”
⭐ Testimonial 5: Seamless Doubt Resolution & Confidence Building
Name: Aditya Verma (Student, Class 12 ISC, Patna)
Feedback: “What sets this platform apart is the strict policy of clearing every single doubt before moving to the next chapter. In Class 12 Maths and Physics, missing one foundation link can ruin an entire unit. The absolute patience of the teachers and the high-quality assignments completely eliminated my exam anxiety.”
