Iit Jee Advanced 1y1n3s

Algebra Algebra Sets Sets and their representations The Empty Set Finite and Infinite Sets Equal Sets Subsets Power Set Universal Set Venn Diagrams Operations on Sets Complement of a Set Practical problems on Union and Intersection of two sets Sequences and series Sequences Series Arithmetic Progression Geometric Progression Relationship between Arithmetic and Geometric Mean Sum to n of special series Examples of sequences and series Complex Numbers Algebra of complex numbers Modulus and Conjugate of a complex number Representation of a complex number in Argand plane Polar representation of a complex number Quadratic Equations Solution of a quadratic equation by factorisation Solution of a quadratic equation by completing the square Quadratic formula

Nature of roots Linear inequalities Solutions of linear inequalities in one variable Graphical solution of linear inequalities in two variables Solution of system of linear inequalities in two variables Permutations and Combinations Fundamental principle of counting Permutations Combinations Probability Random experiments outcome and sample space Events in probability Axiomatic approach to probability Conditional probability Multiplication rule of probability Independent events Partition of a sample space Theorem of total probability Bayes' theorem Random variables Probability distribution of a random variable Mean of a random variable Variance of a random variable Bernoulli trials and binomial distribution Binomial theorem Binomial theorem for positive integral indices Pascal’s triangle Binomial theorem for any positive integer General and middle of the binomial expansion Examples of binomial theorem Matrices and determinants

Trignometry Trigonometric functions Angles Trigonometric functions - Sign Domain and Range Trigonometric Identities Trigonometric Equations Examples of trigonometric functions Calculus Relations and Functions Cartesian products of sets Relations Types of Relations Functions Types of Functions Composition of Functions and Invertible Function Binary operations Limits and Derivatives Limits of the functions Algebra of limits Limits of polynomials and rational functions Limits of trigonometric functions Derivative of a function Algebra of derivative of functions Derivative of polynomials and trigonometric functions Continuity and Differentiability Continuity Algebra of continuous functions Differentiation Derivatives of composite functions Derivatives of implicit functions Derivatives of inverse trigonometric functions

Exponential and Logarithmic functions Logarithmic Differentiation Derivatives of functions in parametric forms Second order derivative Mean Value Theorem Applications of derivatives Rate of change of quantities Increasing and decreasing functions Tangents and Normals Approximations Maxima and Minima Maximum and minimum values of a function in a closed interval Integral calculus Integration - inverse process of differentiation Geometrical interpretation of indefinite integral Properties of indefinite integral Comparison between differentiation and integration Methods of integration Integration using trigonometric identities Important formulae of integration Integration by partial fractions Integration by parts Definite integral Fundamental theorem of calculus Evaluation of definite integrals by substitution Properties of definite integrals Application of integrals Area under simple curves Area of the region bounded by a curve and a line Area of the region bounded by the two curves Differential equations

Order and degree of a differential equation General and particular solutions of a differential equation Formation of a differential equation Differential equations with variables separable Homogeneous differential equations Linear differential equations Coordinate Geometry Straight Lines Slope of a line Various Forms of the Equation of the Line General equation of a line Distance of a point from a line Vector and 3D Geometry

Topic

Algebra

Algebra

Algebra

Author

Bernard & Child

Hall & Knight

K. C Sinha

Title

Higher Algebra

Higher Algebra

Eduwiser's Algebra

Remarks

Level

Very difficult book to understand. Should be refered after Advanced good Jee Maturity. But beautiful book Good to have a copy of this book, or else copy from Beginneer library. Purely to emphasize full use of this book Very good book in line with latest pattern Beginneer question, Good for quality

Reference and textbooks

Should I buy?

No read if Reference you can get it else leave

Yes good to Textbook have persona l copy

Yes good to Textbook have persona l copy

Algebra

SK Goyal

Arihant Algebra I & II

All topics

ML Khanna

IIT Mathematics JPNP publishers

All topics

A Das Gupta

Problem Plus in IIT Mathematics

Analytical Geometry

S K Goyal

ArihantCoordinate Geometry

Analytical Geometry

S L Loney

Coordinate Geometry

Analytical Geometry

K C Sinha

Text book of coordinate geometry

Calculus

Piskunov

Differential and integral calculus

Calculus

Amit Agarwal

ArihantDifferential Calculus

Calculus

Problem book GN Berman in Mathematical

problem solving Good quality Yes of problems good to but again Intermediate Textbook have problem persona solution l copy approach. No Collection of read if problems, but Intermediate Reference you can not get it recommended else leave No Good set of can Intermediate problem good Textbook borrow for practise from library Good but Yes overcrowded. good to Enough for Advanced Textbook have Coordinate persona Geometry l copy No Ultimate can source of Reference Advanced borrow problems and from theory library Yes Good book good to basic to Beginneer Textbook have advanced persona level l copy No Very good can book for Reference Advanced borrow counter from examples library Very good Yes collection of good to problems. Advanced Textbook have Complete persona whole book l copy Good problem No Reference book if you Advanced can have time to borrow

Analysis

practice. Better practice as you understand the calculus fundamentals

Good Calculus in collection of one variables problems

from library

Calculus

I A Maron

Calculus

Good number Demidovich Mathematical of problems, Advanced Analysis theory ok

Calculus

Thomas & Calculus & Finney - 6th Analytical Ed or 11th Geometry ed.

Master piece to understand what is calculus through slow and steady Beginneer approach. Good for 1 year not for 2 year of preparation.

Calculus

Very good Calculus - for Ghanshyam book for IIT JEE Tewani begineer to Mathematics intermediate

Calculus

K C Sinha

Calculus

Trigonometry

--

S L Loney

Textbook of calculus

Very good book for beginneers

Advanced

No can Textbook borrow from library No can Reference borrow from library

No can Reference borrow from library

Yes good to Beginneer Textbook have persona l copy Yes good to Intermediate Textbook have persona l copy

Very good book for Yes practising good to Arihant : Play Intermediate graphs, Textbook have with graphs though not all persona graphs are l copy required. Mother book No Plane of can Trigonometry Beginneer Textbook trigonometry, borrow not required to from

have one but good to start with solving all problem. Some topic though are outdated. Trigonometry

K. C Sinha

Trigonometry Amit Agarwal

Vectors & 3D

Amit Agarwal

Showing 22 items

library

Yes Good to start good to Text book of with this book Intermediate Textbook have trigonometry after S. L persona Loney l copy No Good Arihant: can collection Intermediate Trigonometry Textbook borrow though not from that good library Yes good - theory Arihant : can though is Intermediate Reference Vectors & 3D borrow overclumsy Geometry from and crowded library