unipolaris academy provides good quality, interactive and personalized online maths tuition for ISC Class 12. 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 Maths Tuition for ISC Class 12
We enrol qualified and experienced ISC Class 12 Online Maths 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
Syllabus in Online Maths Tuition for ISC Class 12
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).
Testimonials
⭐ Testimonial 1: Excelling in ISC Class 12 Mathematics
Aditya Verma, Class 12 ISC, New Delhi
“Class 12 ISC Mathematics is much more demanding than previous classes, especially topics like Calculus, Probability, and Differential Equations. I was initially nervous about managing the syllabus, but these online maths tuition classes made everything easier. The teacher explained every concept with patience using a digital pen tablet and provided plenty of practice questions. My confidence improved significantly, and I now solve complex problems with much greater accuracy.”
⭐ Testimonial 2: Remarkable Improvement in Board Exam Preparation
Mrs. Neha Chatterjee (Parent of Class 12 Student), Kolkata
“We were looking for a dependable online maths tuition program for ISC Class 12 because our son needed extra support with board exam preparation. unipolaris academy provided structured lessons, regular assessments, and individual attention that helped him strengthen his concepts. His understanding of Mathematics has improved tremendously, and we have noticed a significant increase in both his confidence and academic performance.”
⭐ Testimonial 3: Conceptual Clarity in Advanced Mathematics
Sanya Kapoor, Class 12 ISC, Jaipur
“Topics such as Integrals, Applications of Derivatives, and Vectors seemed quite challenging at first. These online maths classes helped me understand the concepts thoroughly rather than simply memorising formulas. The teachers focus on logical thinking, step-by-step problem solving, and exam-oriented preparation. Mathematics has now become one of my favourite subjects, and I feel well-prepared for my board examinations.”
⭐ Testimonial 4: Trusted Online Maths Tuition for International ISC Students
Mr. Arvind Menon (Parent), Singapore
“Living outside India, it was difficult to find experienced teachers familiar with the ISC Class 12 Mathematics syllabus. unipolaris academy has been an excellent choice for our daughter. The interactive live sessions, detailed explanations, recorded lectures, and continuous progress monitoring have helped her stay on track throughout the academic year. The quality of teaching is exceptional, and the flexibility of online learning is a major advantage.”
⭐ Testimonial 5: Building Strong Results for Boards and Competitive Exams
Karan Malhotra, Class 12 ISC, Chandigarh
“Joining these online maths tuition classes for ISC Class 12 has been one of the best decisions for my academic journey. The teachers not only helped me master the board syllabus but also improved my analytical and problem-solving abilities. Regular mock tests, doubt-clearing sessions, and personalised feedback have enhanced my speed, accuracy, and confidence. I now feel fully prepared for both board examinations and future competitive entrance tests.”