Expertise: STRONG SUBJECTS & TOPICS Number System & Arithmetic: Integers, fractions, decimals, percentages, ratios, proportions, profit & loss, averages. Algebra: Expressions, equations, linear equations, polynomials, inequalities, sequences & series, functions, quadratic equations. Geometry: Lines & angles, triangles, quadrilaterals, circles, coordinate geometry, mensuration, transformations. Trigonometry: Trigonometric ratios, identities, equations, graphs, heights & distances. Statistics & Probability: Data handling, graphs, mean, median, mode, measures of dispersion, probability. Academic Support: Homework help, exam preparation, assignments, revision, remedial learning, and competitive mathematics. Core Skills: Logical reasoning, critical thinking, mathematical modelling, problem-solving, and conceptual understanding.

Expertise: Algebra, Discrete Mathematics Number theory

Expertise: Mathematics

Expertise: Mathematics

Expertise: Mathematics

Expertise: Mathematics/Calculus

Expertise: 1) Arithmetic Progressions (समान्तर श्रेणियाँ) 2) Quadratic Equations (द्विघात समीकरण) 3) Some Applications of Trigonometry (त्रिकोणमिती के कुछ अनुप्रयोग) 4) Surface Area and Volume (पृष्ठों का क्षेत्रफल एवं आयतन) 5) Circles (वृत्त) 6) Constructions (रचनाएँ) 7) Mathematical Modelling (Excluded) 8) Proof in Mathematics (Excluded) The subtopics of each chapter are as shown below: 1) Arithmetic Progressions (समान्तर श्रेणियाँ) Introduction, Arithmetic Progressions, nth Term of an AP, Sum of First n Terms of an AP, Miscellaneous solved problems, IIT Foundation perspective, exercise. 2) Quadratic Equations (द्विघात समीकरण) Introduction, Quadratic Equations, Solution of a Quadratic Equation by Factorisation, Solution of a Quadratic Equation by Completing the Square, Nature of Roots, sum of the roots, product of rools, Miscellaneous solved problems, exercise. 3) Some Applications of Trigonometry (त्रिकोणमिती के कुछ अनुप्रयोग) Introduction, Heights and Distances, angle of elevation, angle of depression, Basic trigonometric table, Solved examples, Miscellaneous problems, Pythagoras theorem application, exercise. 4) Surface Area and Volume (पृष्ठों का क्षेत्रफल एवं आयतन) Introduction, Basic Shapes identification and their properties, cube, cuboid, circle, sphere, hemisphere, cone, pyramids, cylinder, total surface area, curved surface area, volume, lateral surface area, perimeter, puzzles, TSA, CSA, Volume of a Combination of Solids, Conversion of Solid from One Shape to Another, Frustum of a Cone, exercise. 5) Circles (वृत्त) Introduction, Technical words, Tangent to a Circle, Number of Tangents from a Point on a Circle, theorem, solved problems, Miscellaneous solved problem, exercise. 6) Constructions (रचनाएँ) Introduction, Division of a Line Segment, writing Steps of Construction, Construction of Tangents to a Circle, Solved problem, miscellaneous problems, Exercises.

Expertise: Mathematics