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•    SCHOOL PREP
Classes - IX    X    XI    XII
•    TEST PREP   Subject No. of Chapters No. of Lectures Taught Solved Problems No. of Hours
Physics 23 641 354 110
Chemistry 27 211 343 60
Maths 27 771 1328 130
PCM-Combo 77 1623 2025 300

 Straight Lines Introduction to Coordinate geometry, Coordinate geometry of two dimensions, Polar system, Coordinate geometry Vs Plane geometry External division formula of line, slope of line, angle between two lines Forms of equation of straight line, Parametric equation of line, Advanced application of perpendicular distance of a point from a line Equation of family of lines passing through thte intersections of two lines, Necessary condition for concurrency Change of origin, Rotation of axes Advanced theory and result on line, two points and two lines, Angular bisector of two lines, Incenter, Orthocentre Pair of lines:General equation of second degree, homogeneous equation, homogenizing, Reflection of point in a line, reflection in cordinate geometry Formulas for various centres of triangles Problems Circles Definitions and problems General equation of circle Equation of tangent at any point on the circle, equation of chord of contact Director circle and problems Equation of common chord of two circles, Radical axis of two circles Problems Orthogonal circle Four points to be concyclic, second degree curve and problems Equation of Circumcircle of triangle, Common tangent of two circles and problems Standard situations in circles Problems Parabola Introductution on parabola and some problems Theory on parabola Standard results on parabola Properties of parabola Reduction of Semi-General Parabola Reduction of General Parabola Problems Ellipse Ellipse, Equation of Ellipse Latusrectum of ellipse, how to trace the ellipse, position of point, auxiliary circle of the ellipse Focal distance, Centre of ellipse Result on ellipse Equation of tangent, Normal and Chord of contact, equation of chord joining two points on ellipse, Slope of tangent Director circle, Combined equation of tangent Problems Hyperbola Hyperbola, Equation of hyperbola Conjugate hyperbola, Rectangular hyperbola Results on hyperbola, Focal distances Results on Asymptotes, find the asymptotes to the hyperbola Problems Trigonometry Degree/Radian- Rotation- Angle Transformation Formulae Trigonometric Ratio of an Arbitrary Angle Trigonometric Formulae Numerical Equalities and problems Polynomials Proofs of Numerical Equalities Trigonometric Equation, Special Trigonometric Equation Various Methods of Solving Trigonometric Equations Problems Trigonometric Inequations and problems Maximum - Minimum Values and Basic Trigonometric Inequalities Properties of Triangle Properties of triangle Notations and Basic Formulae Altitude, Median, Angle bisector Some standard conditional identies Advanced result and problems on properties of triangle Results related to orthocentre and pedal triangle Solutions of Triangles Problems Complex Numbers Introduction ,properties of conjugate and modulus, algebra of complex number Argand plane, Methods for finding arguments Various Forms of Circle Equation Problems Sequence and Series Sequence as a Function and Various Types of a Sequence AP,GP,HP Results Inserting Means Between Given Numbers Results and Techniques of Summation of Series Problems Equations and Inequations Algebraic Inequations, Methods for solving Algebraic Inequations, Variations in inequations Quardratic Inequations Modulus Equations Inequations Square Root Inequations Logarithm Theory and Formulae Inversion property, Variable base logarithimic functions Problems Inequalities Fundamental Algebraic Inequality and problems Problems on Fundamental Algebraic Inequality AM Greater than or Equal to GM Inequality Problems Cauchy Scwarz Inequality and its problems Triangle Inequality and its problems Problems on Triangle Inequality Theory of polynomials, fundamental theorem on Algebra Standard Problems on Polynomials Proving Divisibility using Complex Numbers Problems Permutations and Combinations Fundamental principle of counting and problems Basic Problems, difference between permutation and combinations Definition of nPr Typical arrangements and problems Standard problems of circular permutations, clockwise and anticlockwise permutation Selection from Distinct and Non Distinct Objects Distribution of Distinct Objects in Distinct Boxes Typical Problem on Last Distribution Distribution of Distinct Objects in Distinct Boxes where Number of Objects in a Box is Specified Proving Divisibility by D2 Distribution Distribution of Identical Objects in Distinct Boxes Distribution of Identical Objects in Distinct Boxes problems Typical Problems on Integral Solution Principle of Exclusion and Inclusion Problems on Principle of Exclusion and Inclusion Laplace Letter and Envelope Problem(Recursion Approach) Bionomial expansion and its problems Use of Multinomial Theorem for Permutations Combinations and Distributions and problems Combinotorial Number Theory Binomial Theorem Binomial theorem, symmetric product, multinomial thorem Multinomial thorem problems Problems on Symmetric Products and Multinomial Theorem Problems by Elementary Methods and Multinomial Theorem Sum of the Coefficients in a Multinomial Expansion Problems on Integer and Fractional Parts of a Mixed Surd Greatest term in an expansion and its problems Problems on Greatest Term Identities involving combinatorial coefficients Properties of Omega and Omega Square Problems on identities by omega and omega square Binomial Identities by Differentiation and its problems Problems on Binomial Identities by Differentiation Binomial Identities by Integration Problems on Binomial Identities by Integration Nonlinear Binomial Identities and irs problems Trinomial Identities Trinomial Identities problems Problems Inverse Trigonometric Function Inverse Trigonometric Function : Results and formulae Problems Functions Function definition and function as a special case of relation, definition of domain, co-domain and range Onto or Surjective Function and its problems One-One Functions (injective function) and problems Problems on one-one functions Inverse Function, example and problems Problems on  Inverse Functions Domain of Classical Functions Techniques of Finding Domain of Functions Domain Problems Range Problems Past Year Problems on Range Functions Periodic Function (Introduction and Results), dirichlet function Problems on Periodic Function Composite Functions Problems on Composite Functions Combinatorial Problems on Functions Problems Limit  Continuity and Differentiability Algebraic Limits and problems Applications and examples on algebraic limits Trigonometric Limits and problems Mistakes in Evaluating Limits (Trigonometic  Limits) Exponential and logarithmic limits and some problems Limit of f(x), g(x) and some problems Special Limits Problems Limit by L-H Rule Mistakes in L-H Rule Limit of a Sequence Introduction to Continuity Introduction to Differentiability Problems on Differentiability Past Year IIT Questions on Continuity and Differentiability IIT JEE-2008 Questions on Continuity and Differentiability Functional Questions Some Typical Questions Differentiation Differentiation Introduction and Problems (Type-1) Differentiation Introduction and Problems Type-2 (2nd derivative with implicit Case) Differentiation Problems Type-3 (Successive Differentiation) Differentiation Problems Type-4 (Change of Variable) Differentiation Problems Type-5 (Inverse Anomalies) Application of Derivative Tangent and Normal, Basic Questions Tangent and Normal to the Standard Curves Problems Angle between the Two Curves and some problems Tangent and Normal Passing Through a Given Point Tangent and Normal Meeting the Curve Again Introduction on Monotonocity Finding Intervals of Monotonocity of a Function Problems Introduction - Terms - Tips and Results of maxima and minima Maxima and Minima Problems (Elementary Problems) Maxima and Minima Problems (Trigonometric Problems) Rolles theorem and its problems Lagrange Mean Value Theorem and its problems Past Year IIT Questions on Mean Value Theorem Convex Function Theorem by LMVT and problems Indefinite Integral Integration of trigonometric functions and problems Rational function Random and Trigonometric Problems Definite Integral Definite integral properties Advanced results on definite integral, properties of periodic functions Results on estimation of a definite integral and problems Fundamental theorem of Integral Calculus and problems Results on Definite Integral as a Limit of a Sum, problem and example Mistakes in Evaluating in Definite Integral Problems Area Definite integral with area under the curve Curve Tracing (Tips) Curve Tracing (Examples) Problems Differential Equations Order and Degree of a Differential Equation and problems on Formation of a Differential Equation Problems on Formation of a Differential Equation Problems Probability Definition of Probability Set theoretic notations, Mutually exclusive event, Venn diagrams, Independent event Important results in theory of Probability Fundamental probability inequalities for any two events of the same sample space, Bayes theorem Ordered and unordered method, examples Problems Vector Definition - Terms and Results: scalar multiplication, collinear and position vector Dot product of vector, Cross product, Triple product Scalar triple product of three vector and problems Volume of any parallelepiped and tetrahedron Problems 3D Skew lines Results on Projection Symmetrical form of the equation of line, Equation of plane, Angle between two plane, Angle between line and plane Line of intersection of two planes Problems on skew lines Shortest distance between two skew lines and parallel lines and problems Advanced Results Problems Determinant and Matrices Definition - Terms and Results, geometrical interpretation Conjugate of matrix, Transpose Conjugate Matrix method of solving non-homogeneneous system of linear equation Problems FREE COUNSELING
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IIT-JEE Instructors

Mr. Sachin Chhabra, Physics Mr. Sachin Chhabra is a B. Tech from IIT-Delhi. He is one of the founding faculties of Edusat program in Punjab ... Mr. Raj Kumar Bandhopadhyay is a M. Tech from Calcutta University with extensive experience of more than 15 years ... To all who have had the pleasure of interacting with Dr. A. Majeed (popularly known as Majid Khan) ...

Mr. Gaurav Aggarwal, Physics Mr. Gaurav Aggarwal is a B.Tech from IIT-Delhi. He is respected by the students for his in depth knowledge of the subject and conceptual clarity. His deep incite and example makes the student feel the subject practically.

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Mr. Munish Mittal, Chemistry Mr. Munish Mittal is a B.Tech, M.Tech Dual Degree from IIT-Delhi. His innovative and integrated approach gives Chemistry learning a new extension. ...

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All Right Reserved by TopChalks.com 2016-2017. (Copyright) Property of TopChalks Digital Education Pvt. Ltd. # Mr. Sachin Chhabra

Mr. Sachin Chhabra is a B. Tech from IIT-Delhi. He is one of the founding faculties of Edusat program in Punjab which has made a significant positive difference in the lives of thousands of IIT-JEE aspirants of rural Punjab. He has also designed and implemented courseware for Gyan Seva Trust, working for education of rural students. He is very popular among Delhi and Chandigarh students and for incorporating novel teaching technologies in his exceptional course work. He has been producing extra-ordinary results every year in IIT-JEE by making Physics simpler for every aspirant.

# Achieve deeper understanding...- Mr. Sachin Chhabra, # Dr. A. Majeed

To all who have had the pleasure of interacting with Dr. A. Majeed (popularly known as Majid Khan) or learning from him, he is a living legend. He did his M. Sc in mathematics from Kanpur University in 1976 and joined IIT-Delhi for research in Mathematics. He possesses a rare ability among mathematicians to communicate its perceptions and understanding to his students in a lucid way. His innovative ideas and pragmatic approach has motivated students of all walks of life. He is capable of interacting with the entire spectrum of students. Some of his achievements are as follows: Presented lectures in advance Mathematics in Indira Gandhi National Open University which are still relayed by the Gyan Darshan Channel. He has actively participated in Gyan Sewa Project being run for Rural Punjab students by Mr. H.S. Phulka in the year 2006-2007. He took tutorials of B.Tech Students in IIT Delhi when he was a research scholar there. He taught in DPS R.K Puram for 10 years and played pivotal role in bringing the name of Delhi Public Schools in global mat. He has authored many well recognized books in mathematics. Some of which are IIT-JEE (Rachna Sagar Publication), Algebra and Co-ordinate Geometry (Disha Publication) Trigonometry and Calculus (S.A. Publication).

# Mathematics is more philosophical less algorithmic...- Dr. A. Majeed, # Mr. Gaurav Aggarwal

Mr. Gaurav Aggarwal is a B.Tech from IIT Delhi. He is respected by the students for his in depth knowledge of the subject and conceptual clarity.

His deep incite and example makes the student feel the subject practically. Students appreciate his Physics teachings which gives them confidence and deep understanding required for the subject. # Mr. Munish Mittal

Mr. Munish Mittal is a B.Tech, M.Tech Dual Degree from IIT Delhi. His innovative and integrated approach gives Chemistry learning a new extension.

His teaching structure enables student in quick implementation of strategies and solving queries. The shed of his experience is the ultimate resource for students in the field of Chemistry.   "TOPCHALKS has helped me to approach topics in a systematic manner, and most importantly provided a number of different questions & guidance, which ensured that I put in the effortsrequired to scale an examination the magnitude of IIT-JEE". Md. Faisal, IIT-JEE aspirant, Patna (Non-attending School & taking coaching in Delhi) "Concepts have been taught very well unlike other IIT study material. This helped a lot insolving all the various & unique questions. Instructors were very approachable for any queryresolution. Studying with TopChalks helped focus on conceptual understanding that enhances a student's performance in the subjects of Physics, Chemistry and Maths." Arpit, IIT-JEE – 2011 aspirant, Delhi "Topchalks program has given a good helping edge to our students. This program is very much necessary for all the students preparing for IIT-JEE and similar exams." Jawahar Navodaya Vidyalaya, Ganderbal and Baramulla, Srinagar, J&K "IIT-JEE aspirant- Coaching in Delhi, Class XII studying (Non attending school in Patna)"The Study Material provided by TOPCHALKS is excellent. The Class XI Instructors' have made the class enjoyable and made it easier to understand the difficult concepts into meaningful, understandable and easy to grasp lessons. Their knowledge and experience is obvious and reflects from their teachings. Now I can balance preparation IIT-JEE and Class XII both with good results. Akmal Rashid "TopChalks faculty Majeed Sir and Sachin Sir are the only one responsible for my success in IIT-JEE." Abhilash, AIR-29, IIT-JEE’2010 "Qualifying IIT-JEE is a dream come true and being taught by Majeed Sir and Sachin Sir is an experience itself. Thank you Sir for being there for me." Smriti Irani, AIR 584, IIT-JEE’2010 "I wanted to crack DPMT, but did not have enough faith in me. Sachin Sir instilled that self-faith and taught me to conquer." Nitika, 36th Rank, DPMT "TopChalks faculty Dr. Majeed has helped me a lot to strengthen my basics for Maths which has resulted into my performance for IIT-JEE and AIEEE this year. Thank you Sir." Harshit Sihara, AIR-2, AIEEE’2010; AIR-97, IIT-JEE’2010 "TopChalks faculty and their style of teaching have highly influenced me to achieve what I want in life. Thanks you Majeed Sir." Srinidhi K V, AIR-871, IIT-JEE’2010; State rank-22, AIEEE’2010 "Sachin Sir from TopChalks made me realize my true potential and help me qualify with DPMT." Nikhil, 75th Rank, DPMT’2010 "Majeed Sir is a true mentor. He not only helped me achieve my goal of cracking IIT-JEE but he has been a constant support throughout." Vaibhav Satavan, AIR-62, IIT-JEE’2010 "For me IIT-JEE preparation was very difficult. Topchalks made it easy. And when Dr. Majeed is teaching students, there is no chance of failure." Vijay Makkar, IIT-JEE’2011 aspirant