Detailed SSC CGL Syllabus (Tier I) Based on New Pattern 2017

SSC CGL Tier II Quant Model Question Paper (based on Predicted Pattern 2017)

SSC CHSL 2017-18

Bank PO : Probationary Officer Job Profile, Salary, Career Growth

IIT JEE 2018

Chemical Kinetics

IIT JEE PHYSICS SYLLABUS

IIT JEE Chemistry Syllabus

IIT JEE Mathematics Syllabus

ESE 2018 Eligibility

SSC Combined Higher Secondary Level (10+2) Examination

GATE 2018: Admit Card, Exam Dates, Pattern, Syllabus

Government Jobs in India 2017-18

Railway Recruitment 2018. Apply 4,221 Railway recruitment vacancies January 2018

SBI Recruitment 2018-19

Welcome to JEE Main 2018

JEE Main 2018 Admit Card, Exam Date, Syllabus, Pattern

SSC EXAM DATE

GATE 2018 Exam Notification, Dates, Application and Eligibility

CGPSC Recruitment 2018-2019 | Chhattisgarh PSC Vacancy & Notification 2018-19

Latest PHP trends in 2018

How to prepare for GATE in 1 month?

JEE Advanced Mock Test 2018

GATE 2018 examinations for 23 papers will be conducted across eight (8) sessions as per the following schedule.

Graduate Aptitude Test in Engineering 2018 ( GATE )

GATE 2018 Results : 17 Mar 2018

GATE 2018 Paper Analysis & exam Reviews

GATE 2018: Admit Card, Exam Dates, Pattern, Syllabus

GATE Syllabus for Civil Engineering 2018

How to secure jobs in PSUs through GATE?

GATE 2018 Electrical Engineering Syllabus

General TIPS for preparation of the GATE exams

Is Gate Exam easy or tough ?

How To Crack Gate Exam One Attempt best plan

How can I start preparing for GATE CSE 2018?

How To Prepare GATE ECE 2018 in two month

How can I prepare for GATE 2018 without coaching?

How can I prepare for GATE 2018 without coaching?

Is it possible to clear the GATE without any coaching (by self-studying)

GATE 2018: 10 tips to score full marks in exam

BARC Scientific Officer Recruitment, check the details

BHEL is hiring! Inviting applications for supervisor and executive posts

PSU Recruitment through GATE 2018

Why is PSU Recruitment through GATE highly popular?

What is the Eligibility Criteria for PSU Recruitment through GATE 2018?

How to apply for the PSU Recruitment through GATE 2018?

Graduate Aptitude Test in Engineering

SSC paper leak scam: Anna Hazare meets protesters in New Delhi, asks them not to get violent as stir enters Day 5

Current Affairs for SSC CGL Exams - 2 March 2018

What is UPSC?

UPSC Recruitment 2018 for Various Posts: Earn Up to Rs 177500

UPSC Advt No 04/ 2018 – Apply Online for Asst Director & Translator Posts

UPSC Advt No 02/ 2018 – Apply Online for Asst Chemist, Scientist & Other Posts

UPSC Advt No 23/2017 – Apply Online for Asst, Associate Professor & Other Posts

Kendriya Vidyalaya Result 2018 – Nurse, Doctor & Teacher Final Results Declared

IDBI Bank Recruitment 2018...

SSC CPO Recruitment 2018

CGHS Recruitment 2018

JEE Mains 2018

JEE Mains 2018 Eligibility

JEE Mains 2018 Summary

JEE Mains 2018 Exam Centers

IIT JEE Mathematics Syllabus


 

IIT JEE Mathematics Syllabus

Algebra

Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.

Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.

Logarithms and their properties.

Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.

Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.

Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.

Trigonometry

Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.

Analytical Geometry

Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).

Two dimensions

Cartesian coordinates, distance between two points, section formulae, shift of origin

Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle. Equation of a circle in various forms, equations of tangent, normal and chord.

Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.

Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal. Locus Problems.

Three dimensions

Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.

Differential calculus

Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.

Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.

Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions. Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.

Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s Theorem and Lagrange’s Mean Value Theorem.

Integral calculus

Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, Fundamental Theorem of Integral Calculus. Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves. Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

Vectors

Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.